From 28060d3a69cdff3c240f15115318fc00eee6718f Mon Sep 17 00:00:00 2001
From: Tim Allen <screwtape@froup.com>
Date: Fri, 1 Sep 2017 21:21:06 +1000
Subject: [PATCH] Update to v104r10 release.

byuu says:

Changelog:

  - processor/upd96050: per manual errata note, SGN always uses SA1;
    never SB1 [fixes v104r09 regression]
  - processor/upd96050: new OV1/S1 calculation that doesn't require OV0
    history buffer [AWJ]
  - processor/upd96050: do not update DP in OP if DST=4 [Jonas Quinn]
  - processor/upd96050: do not update RP in OP if DST=5 [Jonas Quinn]
  - resource: recreated higan+icarus icons, higan logo as 32-bit PNGs

So higan v104r08 and earlier were 930KiB for the source tarball. After
creating new higan and icarus icons, the size jumped to 1090KiB, which
was insane for only adding one additional icon.

After digging into why, I discovered that ImageMagick defaults to
64-bit!! (16-bits per channel) PNG images when converting from SVG.
You know, for all those 16-bit per channel monitors that don't exist.
Sigh. Amazingly, nobody ever noticed this.

The logo went from 78.8KiB to 24.5KiB, which in turn also means the
generated resource.cpp shrank dramatically.

The old higan icon was 32-bit PNG, because it was created before I
installed FreeBSD and switched to ImageMagick. But the new higan icon,
plus the new icarus icon, were both 64-bit as well. And they're now
32-bit.

So the new tarball size, thanks to the logo optimization, dropped to
830KiB.

Cydrak had some really interesting results in converting higan's
resources to 8-bit palletized PNGs with the tRNS extension for alpha
transparency. It reduces the file sizes even more without much visual
fidelity loss. Eg the higan logo uses 778 colors currently, and 256
represents nearly all of it very well to the human eye. It's based off
of only two colors, the rest are all anti-aliasing. Unfortunately,
nall/image doesn't support this yet, and I didn't want to flatten the
higan logo to not have transparency, in case I ever want to change the
about screen background color.
---
 higan/data/higan.ico                       |  Bin 60807 -> 31258 bytes
 higan/data/higan.png                       |  Bin 41177 -> 12872 bytes
 higan/emulator/emulator.hpp                |    2 +-
 higan/processor/upd96050/instructions.cpp  |   44 +-
 higan/processor/upd96050/serialization.cpp |    1 -
 higan/processor/upd96050/upd96050.hpp      |    3 -
 higan/resource/GNUmakefile                 |    4 +
 higan/resource/logo/higan.png              |  Bin 80706 -> 25128 bytes
 higan/resource/resource.cpp                | 3307 +++++---------------
 icarus/data/icarus.ico                     |  Bin 71204 -> 33644 bytes
 icarus/data/icarus.png                     |  Bin 50967 -> 14477 bytes
 11 files changed, 808 insertions(+), 2553 deletions(-)

diff --git a/higan/data/higan.ico b/higan/data/higan.ico
index b178ba1663ba60655fad6f9ab37435b158aedcc0..905d2c9c90208c8339a0fcd68ca6eb8a2a9d9cf9 100644
GIT binary patch
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diff --git a/higan/emulator/emulator.hpp b/higan/emulator/emulator.hpp
index cf73e3d3..b386245a 100644
--- a/higan/emulator/emulator.hpp
+++ b/higan/emulator/emulator.hpp
@@ -12,7 +12,7 @@ using namespace nall;
 
 namespace Emulator {
   static const string Name    = "higan";
-  static const string Version = "104.09";
+  static const string Version = "104.10";
   static const string Author  = "byuu";
   static const string License = "GPLv3";
   static const string Website = "http://byuu.org/";
diff --git a/higan/processor/upd96050/instructions.cpp b/higan/processor/upd96050/instructions.cpp
index 3a9c0124..400322a0 100644
--- a/higan/processor/upd96050/instructions.cpp
+++ b/higan/processor/upd96050/instructions.cpp
@@ -31,7 +31,7 @@ auto uPD96050::execOP(uint24 opcode) -> void {
   case  4: idb = regs.dp; break;
   case  5: idb = regs.rp; break;
   case  6: idb = dataROM[regs.rp]; break;
-  case  7: idb = 0x8000 - (!asl ? flags.a.s1 : flags.b.s1); break;
+  case  7: idb = 0x8000 - flags.a.s1; break;  //ASL ignored; always SA1
   case  8: idb = regs.dr; regs.sr.rqm = 1; break;
   case  9: idb = regs.dr; break;
   case 10: idb = regs.sr; break;
@@ -77,8 +77,8 @@ auto uPD96050::execOP(uint24 opcode) -> void {
     case 15: r = q << 8 | q >> 8; break;      //XCHG
     }
 
-    flag.s0 = r & 0x8000;
     flag.z = r == 0;
+    flag.s0 = r & 0x8000;
 
     switch(alu) {
 
@@ -89,9 +89,9 @@ auto uPD96050::execOP(uint24 opcode) -> void {
     case 13:    //SHL2
     case 14:    //SHL4
     case 15: {  //XCHG
-      flag.c = 0;
       flag.ov0 = 0;
       flag.ov1 = 0;
+      flag.c = 0;
       break;
     }
 
@@ -110,33 +110,22 @@ auto uPD96050::execOP(uint24 opcode) -> void {
         flag.ov0 = (q ^ r) &  (q ^ p) & 0x8000;
         flag.c = r > q;
       }
-
-      //ovh[] = last three overflow flags (0 = most recent result)
-      flag.ovh[2] = flag.ovh[1];
-      flag.ovh[1] = flag.ovh[0];
-      flag.ovh[0] = flag.ov0;
-
-      boolean s1 = !flag.ov1 ? flag.s0 : flag.s1;
-      flag.ov1 = (
-        (flag.ovh[0] ^  flag.ovh[1] ^ flag.ovh[2])
-      | (flag.ovh[0] & !flag.ovh[1] & flag.ovh[2] & flag.s0 == flag.s1)
-      );
-      flag.s1 = s1;
-
+      if(!flag.ov1) flag.s1 = flag.s0;
+      flag.ov1 = flag.ov0 & flag.ov1 ? flag.s0 == flag.s1 : flag.ov0 | flag.ov1;
       break;
     }
 
     case 11: {  //SHR1 (ASR)
-      flag.c = q & 1;
       flag.ov0 = 0;
       flag.ov1 = 0;
+      flag.c = q & 1;
       break;
     }
 
     case 12: {  //SHL1 (ROL)
-      flag.c = q >> 15;
       flag.ov0 = 0;
       flag.ov1 = 0;
+      flag.c = q >> 15;
       break;
     }
 
@@ -148,17 +137,20 @@ auto uPD96050::execOP(uint24 opcode) -> void {
     }
   }
 
-  execLD((idb << 6) + dst);
+  execLD(idb << 6 | dst);
 
-  switch(dpl) {
-  case 1: regs.dp = (regs.dp & 0xf0) + (regs.dp + 1 & 0x0f); break;  //DPINC
-  case 2: regs.dp = (regs.dp & 0xf0) + (regs.dp - 1 & 0x0f); break;  //DPDEC
-  case 3: regs.dp = (regs.dp & 0xf0); break;  //DPCLR
+  if(dst != 4) {  //if LD does not write to DP
+    switch(dpl) {
+    case 1: regs.dp = (regs.dp & 0xf0) + (regs.dp + 1 & 0x0f); break;  //DPINC
+    case 2: regs.dp = (regs.dp & 0xf0) + (regs.dp - 1 & 0x0f); break;  //DPDEC
+    case 3: regs.dp = (regs.dp & 0xf0); break;  //DPCLR
+    }
+    regs.dp ^= dphm << 4;
   }
 
-  regs.dp ^= dphm << 4;
-
-  if(rpdcr) regs.rp--;
+  if(dst != 5) {  //if LD does not write to RP
+    if(rpdcr) regs.rp--;
+  }
 }
 
 auto uPD96050::execRT(uint24 opcode) -> void {
diff --git a/higan/processor/upd96050/serialization.cpp b/higan/processor/upd96050/serialization.cpp
index 0e51ef59..43dac5f3 100644
--- a/higan/processor/upd96050/serialization.cpp
+++ b/higan/processor/upd96050/serialization.cpp
@@ -12,7 +12,6 @@ auto uPD96050::Flag::serialize(serializer& s) -> void {
   s.boolean(c);
   s.boolean(s0);
   s.boolean(s1);
-  s.array(ovh);
 }
 
 auto uPD96050::Status::serialize(serializer& s) -> void {
diff --git a/higan/processor/upd96050/upd96050.hpp b/higan/processor/upd96050/upd96050.hpp
index accbb3de..1fc476c5 100644
--- a/higan/processor/upd96050/upd96050.hpp
+++ b/higan/processor/upd96050/upd96050.hpp
@@ -54,9 +54,6 @@ struct uPD96050 {
     boolean c;    //carry
     boolean s0;   //sign 0
     boolean s1;   //sign 1
-
-    //internal
-    boolean ovh[3];  //overflow 0 history
   };
 
   struct Status {
diff --git a/higan/resource/GNUmakefile b/higan/resource/GNUmakefile
index 9333e193..8218cabb 100644
--- a/higan/resource/GNUmakefile
+++ b/higan/resource/GNUmakefile
@@ -1,2 +1,6 @@
 all:
 	sourcery resource.bml resource.cpp resource.hpp
+
+clean:
+	rm resource.cpp
+	rm resource.hpp
diff --git a/higan/resource/logo/higan.png b/higan/resource/logo/higan.png
index db9dfbe0423db73d6d4b9f3b2eb7d72ecd814f65..4f40769f8c220d5d6e4c0fba79a98d8c939f9486 100644
GIT binary patch
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diff --git a/higan/resource/resource.cpp b/higan/resource/resource.cpp
index 71a6b933..81255d87 100644
--- a/higan/resource/resource.cpp
+++ b/higan/resource/resource.cpp
@@ -3,2530 +3,793 @@
 
 namespace Resource {
 namespace Logo {
-const nall::vector<uint8_t> higan = {  //size: 80706
-  137,80,78,71,13,10,26,10,0,0,0,13,73,72,68,82,0,0,1,143,0,0,0,95,16,6,0,0,0,64,67,151,
-  63,0,0,0,4,103,65,77,65,0,0,177,143,11,252,97,5,0,0,0,32,99,72,82,77,0,0,122,38,0,0,128,
+const nall::vector<uint8_t> higan = {  //size: 25128
+  137,80,78,71,13,10,26,10,0,0,0,13,73,72,68,82,0,0,1,143,0,0,0,95,8,6,0,0,0,16,211,75,
+  124,0,0,0,4,103,65,77,65,0,0,177,143,11,252,97,5,0,0,0,32,99,72,82,77,0,0,122,38,0,0,128,
   132,0,0,250,0,0,0,128,232,0,0,117,48,0,0,234,96,0,0,58,152,0,0,23,112,156,186,81,60,0,0,0,
   9,112,72,89,115,0,0,0,90,0,0,0,90,0,112,35,184,125,0,0,0,6,98,75,71,68,0,0,0,0,0,0,
-  249,67,187,127,0,1,57,254,73,68,65,84,120,218,236,157,117,128,84,85,223,199,63,231,206,204,118,23,236,2,11,44,
-  181,116,35,221,44,221,169,164,160,2,34,32,6,169,130,5,40,24,160,2,210,161,116,74,47,41,41,221,72,247,178,116,
-  108,239,204,220,123,222,63,206,157,21,124,228,49,30,81,159,247,153,239,63,231,238,236,204,173,83,191,252,254,4,110,0,
-  80,111,135,121,144,19,64,20,23,173,1,2,134,145,29,32,119,25,156,0,133,58,16,0,80,112,149,252,12,32,182,0,
-  131,0,114,23,148,29,1,178,189,192,64,128,224,210,242,43,0,223,35,124,15,224,81,150,27,0,154,21,47,0,22,82,
-  12,192,89,130,38,0,25,87,197,187,0,201,23,249,12,224,206,143,98,6,192,117,47,49,12,224,220,0,234,0,156,170,
-  67,18,192,153,195,156,3,56,91,130,220,0,55,234,88,222,6,200,220,225,152,167,30,99,227,36,119,159,186,225,134,27,
-  110,184,225,134,27,110,184,241,207,129,248,95,121,208,58,101,85,107,217,107,126,80,4,192,227,83,10,0,228,9,194,14,
-  80,97,190,156,14,80,233,188,60,8,80,114,140,220,10,16,211,157,45,0,33,233,98,1,33,132,120,28,183,117,183,8,
-  139,16,249,61,189,61,243,120,230,1,175,76,175,34,94,69,192,171,143,215,4,175,9,224,89,207,171,191,87,127,176,85,
-  177,182,178,182,2,209,71,235,170,117,5,214,201,141,114,35,232,61,140,231,141,231,193,241,177,189,175,189,47,100,156,202,
-  88,150,177,12,210,15,166,79,73,159,2,25,185,51,238,102,220,5,187,112,60,231,120,142,12,253,162,60,42,143,234,231,
-  168,6,144,214,128,253,0,137,235,180,78,0,167,108,226,8,192,254,229,20,5,216,181,136,210,0,71,63,65,3,184,243,
-  21,6,128,92,20,255,185,123,208,187,225,134,27,110,184,225,134,27,110,184,225,86,60,254,52,196,77,48,15,242,1,104,
-  9,188,1,144,247,61,165,104,212,238,45,203,0,52,44,110,52,1,168,144,192,85,128,236,151,61,54,91,222,177,188,99,
-  169,26,52,57,104,73,208,18,136,108,29,117,41,234,18,68,19,189,44,122,25,228,252,34,87,137,92,37,32,187,71,228,
-  240,200,225,16,58,37,212,22,106,3,255,35,254,209,254,209,224,213,222,251,125,239,247,193,163,147,109,168,109,40,88,98,
-  44,229,44,229,64,248,11,139,176,0,251,56,200,65,48,130,141,64,35,16,156,25,206,171,206,171,144,57,215,62,210,62,
-  18,210,86,167,14,76,29,8,15,173,15,87,60,92,1,183,183,223,106,120,171,33,92,15,73,24,149,48,10,174,100,187,
-  242,198,149,55,224,106,131,171,223,94,253,22,110,63,123,243,216,205,99,144,146,145,118,53,237,42,153,70,19,42,80,33,
-  237,129,242,216,156,219,41,158,7,216,226,41,90,1,172,237,134,15,192,158,234,53,154,3,60,88,186,245,7,245,154,54,
-  184,21,18,55,220,112,195,13,55,220,112,195,13,55,220,138,199,191,81,48,78,152,7,117,204,54,0,192,167,12,21,1,
-  42,230,146,83,1,218,79,145,149,1,226,166,202,37,0,209,1,62,22,79,233,41,181,62,185,246,70,151,143,46,15,197,
-  207,151,56,92,226,48,20,191,84,252,116,241,211,144,123,88,222,226,121,139,67,88,175,208,31,66,127,0,175,36,111,47,
-  111,47,96,139,229,7,139,18,214,203,162,188,40,61,233,9,32,155,200,38,0,12,101,40,128,156,37,103,1,240,3,234,
-  251,247,184,7,128,21,43,0,49,196,0,80,159,250,0,162,159,232,7,192,52,166,1,136,53,98,13,0,47,240,2,128,
-  180,72,11,24,5,157,145,206,72,72,238,148,116,58,233,52,36,134,36,190,151,248,30,156,61,123,38,199,153,28,112,120,
-  208,161,55,15,189,9,167,79,156,186,127,234,62,220,217,117,183,205,221,54,224,188,97,236,51,246,165,221,208,22,3,28,
-  41,33,158,1,88,218,84,133,106,45,191,38,251,2,92,216,34,42,0,24,142,248,100,247,228,112,195,13,55,220,112,195,
-  13,55,220,112,227,127,88,241,168,117,77,181,54,51,151,129,229,0,190,99,213,147,212,75,145,221,0,122,20,50,60,1,
-  106,220,176,182,209,246,106,123,253,95,205,249,94,14,35,135,1,229,119,86,112,84,112,64,133,193,21,23,85,92,4,5,
-  230,20,248,188,192,231,224,59,221,191,178,127,101,48,222,209,47,232,23,64,235,105,169,108,169,12,34,159,101,152,101,24,
-  0,219,216,6,96,180,48,90,252,164,8,0,231,84,190,5,226,41,191,77,77,133,77,81,134,50,0,226,136,10,175,210,
-  94,215,94,7,160,55,189,65,207,101,255,194,254,5,220,236,120,163,223,141,126,112,172,238,209,46,71,187,192,238,90,187,
-  50,118,101,192,137,226,199,27,30,111,8,15,138,38,157,77,58,43,135,17,77,34,137,151,63,215,150,3,44,41,72,14,
-  128,217,47,48,29,224,120,67,54,3,24,249,226,123,186,39,139,27,110,184,225,134,27,110,184,225,134,27,255,3,138,71,
-  189,84,243,96,43,128,237,161,152,0,80,235,11,217,15,160,111,30,35,19,160,206,34,175,40,143,94,30,189,188,151,23,
-  105,95,184,111,225,190,80,123,120,93,189,174,14,229,210,202,251,151,247,135,208,30,17,173,35,90,131,176,90,38,88,38,
-  192,141,11,9,93,19,186,194,98,99,65,236,130,88,184,44,47,167,92,78,129,32,159,160,232,160,104,200,255,85,126,123,
-  126,59,20,202,17,251,32,246,1,228,110,147,39,37,79,10,4,213,10,122,61,232,117,16,39,173,65,214,32,0,153,40,
-  19,1,228,96,57,24,64,78,85,222,150,191,12,18,9,32,226,68,28,128,24,32,6,0,136,10,162,2,56,134,100,220,
-  204,184,9,23,239,95,88,119,97,29,124,95,125,107,226,214,68,216,241,220,246,160,237,65,144,248,70,226,210,196,165,156,
-  147,161,4,19,156,88,75,219,2,176,240,32,58,192,212,183,229,48,128,19,93,69,3,0,89,57,222,225,158,60,110,184,
-  225,134,27,110,184,225,134,27,110,252,63,80,60,226,246,168,86,83,225,73,45,141,205,0,69,78,243,57,192,128,142,122,
-  6,64,219,23,60,235,219,114,216,114,4,70,20,143,44,78,113,160,201,237,166,147,155,78,134,50,181,202,205,46,55,27,
-  124,6,250,7,250,7,2,200,53,114,13,128,124,85,190,10,105,175,166,188,148,242,18,124,100,27,181,117,212,86,216,117,
-  102,119,179,221,205,192,111,157,186,174,189,143,106,51,223,196,134,13,188,158,247,44,229,89,10,34,67,179,127,155,253,91,
-  136,141,138,141,140,141,132,226,55,75,204,41,49,7,98,51,10,31,44,124,16,34,143,68,126,29,249,53,216,78,123,183,
-  243,110,7,192,14,118,0,24,181,141,218,0,178,151,236,5,128,3,135,217,7,79,183,23,116,165,60,136,151,196,75,0,
-  218,67,237,33,200,147,134,52,36,36,6,38,100,36,100,192,166,240,13,139,55,44,134,141,245,227,79,196,159,128,235,67,
-  111,236,187,177,143,116,209,129,197,44,190,186,71,148,2,152,25,206,9,128,169,21,197,98,128,43,41,198,29,117,145,13,
-  45,221,147,201,13,55,220,112,195,13,55,220,112,195,141,255,34,197,35,174,179,121,144,8,224,251,61,145,0,157,175,27,
-  19,1,222,216,164,69,139,158,162,103,190,41,249,19,242,135,231,15,135,150,203,91,245,108,213,19,42,127,85,181,113,213,
-  198,224,179,221,191,182,127,109,0,149,188,13,178,170,172,170,116,24,21,170,100,25,104,25,8,167,182,30,31,127,124,60,
-  12,106,54,48,113,96,34,228,60,236,184,237,184,13,237,182,6,166,5,166,65,198,20,57,78,142,131,43,201,142,187,142,
-  187,112,126,106,230,143,153,63,194,229,220,246,187,246,187,112,79,202,210,178,52,200,26,98,164,24,9,193,213,131,223,14,
-  126,27,10,180,41,96,43,96,131,210,203,75,183,43,221,14,138,207,47,62,177,248,68,200,117,43,247,244,220,211,193,251,
-  161,111,113,223,226,64,4,235,89,15,96,52,81,9,238,164,147,254,151,40,34,134,98,184,34,135,10,171,210,230,106,115,
-  129,108,50,191,204,15,215,42,94,217,127,101,63,172,170,183,114,218,202,105,176,105,231,134,189,27,246,194,253,47,146,138,
-  39,21,151,115,181,116,128,227,243,69,119,128,79,222,32,12,96,145,174,104,130,211,106,199,207,116,79,42,55,220,112,195,
-  13,55,220,112,195,13,55,254,129,138,71,253,48,83,26,174,104,222,80,41,128,66,175,48,22,96,120,69,61,17,160,245,
-  143,33,99,130,188,131,188,61,62,104,114,171,169,165,169,5,26,247,109,218,186,105,107,8,45,17,241,67,196,15,0,198,
-  11,134,74,194,46,46,139,3,40,79,197,191,194,146,102,73,131,131,111,238,125,115,239,155,48,44,215,208,15,135,126,8,
-  149,3,108,197,109,197,161,211,171,65,211,130,166,129,188,168,60,18,34,90,157,199,49,66,214,148,53,225,193,0,163,135,
-  209,3,18,226,28,207,58,158,133,179,53,236,43,237,43,225,236,243,153,50,83,66,226,108,167,195,233,128,140,254,84,167,
-  58,248,239,242,139,246,139,134,124,179,98,138,197,20,131,114,189,202,167,149,79,131,170,247,171,191,81,253,13,200,233,155,
-  43,42,87,20,80,91,78,145,83,0,72,35,237,47,237,2,151,34,18,65,4,128,118,76,59,6,70,35,125,187,190,29,
-  78,110,62,246,236,177,103,97,254,139,243,62,156,247,33,28,88,121,192,114,192,2,206,61,250,58,125,93,198,13,173,27,
-  192,138,158,42,207,229,131,56,163,29,192,241,87,52,51,52,46,126,156,123,146,185,225,134,27,110,184,225,134,27,110,184,
-  241,55,42,30,113,213,205,131,99,0,90,110,234,2,52,244,151,62,0,163,63,97,178,104,32,26,20,139,43,85,162,196,
-  180,18,211,160,115,227,110,245,186,213,131,98,91,74,116,40,209,1,196,65,109,129,182,0,192,24,111,140,255,61,87,182,
-  52,182,52,134,179,135,127,60,251,227,89,24,248,205,155,39,222,60,1,185,79,218,7,219,7,67,207,9,33,161,33,161,
-  224,209,74,92,19,215,64,46,36,137,36,16,37,241,194,11,72,165,48,133,65,43,163,88,173,140,225,108,97,11,164,245,
-  51,170,24,85,224,250,6,231,30,231,30,56,187,49,115,81,230,34,56,125,35,115,107,230,86,184,114,201,177,205,177,13,
-  210,60,248,130,47,32,79,90,244,129,232,3,48,232,199,161,29,135,118,132,252,135,10,13,42,52,8,192,136,54,162,255,
-  214,49,97,134,102,81,139,90,0,150,70,150,70,144,90,33,41,127,82,126,88,59,119,117,155,213,109,96,113,226,162,149,
-  139,86,194,221,6,247,62,191,247,57,104,49,0,231,60,41,14,240,238,96,230,1,44,156,167,188,42,246,179,241,9,238,
-  201,230,134,27,110,184,225,134,27,110,184,225,86,60,254,74,133,195,69,123,235,11,224,89,147,80,128,151,102,27,197,1,
-  222,89,231,237,231,53,202,107,84,216,139,77,10,52,93,214,116,25,180,251,168,131,111,7,95,8,90,27,106,9,181,0,
-  232,11,245,133,0,236,87,69,244,176,96,249,93,143,188,85,108,133,212,111,83,230,167,204,135,97,171,134,60,24,242,0,
-  46,223,61,113,251,196,109,232,239,19,246,92,216,115,16,93,211,230,101,243,2,163,9,107,89,251,11,167,145,102,235,173,
-  66,163,196,215,68,17,5,162,11,85,168,2,108,38,133,20,200,72,145,243,228,60,184,209,219,233,233,244,132,205,83,83,
-  142,167,28,135,221,13,51,114,100,228,128,222,13,122,78,237,57,21,218,156,127,54,228,217,16,0,61,80,15,252,71,141,
-  145,76,50,1,132,38,52,144,233,108,102,51,28,191,124,164,216,145,98,48,253,248,212,3,83,15,192,241,186,39,174,157,
-  184,6,226,58,75,88,146,250,130,24,10,48,113,155,42,120,56,58,167,170,184,126,119,11,207,171,147,198,231,117,79,62,
-  128,184,106,230,65,26,128,165,33,173,0,252,26,145,23,64,251,196,28,103,55,159,120,2,197,116,230,193,25,0,57,68,
-  229,19,201,106,230,204,214,126,77,11,199,9,192,1,57,23,64,250,113,23,128,75,79,252,189,107,220,7,0,80,92,116,
-  6,176,231,38,14,32,163,173,162,130,230,76,252,121,119,223,254,25,168,119,201,236,40,211,11,106,188,3,224,149,65,19,
-  0,239,103,76,175,238,217,159,245,206,239,221,1,172,92,7,144,107,217,0,32,195,205,51,221,253,195,251,132,250,133,159,
-  58,47,21,101,29,128,212,38,226,115,0,231,130,120,119,215,186,225,134,27,110,184,21,143,191,68,225,72,2,240,239,140,
-  39,192,208,32,227,18,64,255,14,225,177,97,97,97,97,222,149,187,93,121,190,202,243,85,160,246,23,245,94,175,247,58,
-  88,227,108,207,219,158,7,48,190,48,190,0,192,83,253,246,15,195,3,15,0,237,136,118,4,190,109,51,43,124,86,56,
-  204,120,111,102,251,153,237,161,117,21,255,62,254,125,160,254,39,126,153,126,153,96,212,100,53,171,193,12,71,250,237,48,
-  69,54,209,159,80,66,193,146,206,8,70,192,138,247,146,55,39,111,134,85,165,82,210,83,210,225,13,159,55,61,223,244,
-  132,250,52,238,221,184,55,128,126,71,191,243,143,28,43,174,144,172,88,98,1,44,93,45,93,225,246,216,27,225,55,194,
-  97,102,173,105,115,167,205,133,205,111,110,238,191,185,63,232,197,245,47,245,47,141,109,226,14,192,119,247,84,191,191,158,
-  200,69,128,11,47,139,213,234,164,235,243,252,143,42,28,38,137,129,25,22,136,74,252,127,161,157,10,183,235,213,76,14,
-  5,16,105,42,153,159,131,191,162,66,120,43,229,91,198,168,26,49,114,171,169,140,91,178,68,81,249,248,184,52,97,51,
-  255,94,172,190,111,244,51,63,223,103,206,49,11,33,230,39,193,102,91,87,221,174,214,14,64,4,40,197,242,230,51,220,
-  0,24,113,141,84,128,3,95,136,7,102,255,222,113,47,178,255,209,56,169,145,165,254,3,97,141,84,56,228,231,211,229,
-  117,128,162,237,164,19,192,40,170,114,172,92,204,118,191,160,40,138,39,172,248,194,92,83,213,151,71,153,227,231,109,115,
-  92,92,254,23,5,244,231,231,247,124,76,17,205,58,191,184,1,64,54,225,3,64,127,85,195,104,83,89,117,254,15,247,
-  98,7,72,46,20,127,192,221,199,110,184,225,134,27,110,197,227,207,220,56,243,155,7,65,0,65,99,148,0,58,50,201,
-  72,1,120,177,126,94,75,110,71,110,135,181,202,203,247,94,217,255,202,126,40,245,77,185,54,229,218,0,45,100,140,140,
-  1,144,195,20,149,235,147,114,54,126,55,204,205,217,210,221,210,29,78,253,120,162,248,137,226,48,100,245,160,166,131,154,
-  66,206,113,153,49,153,49,208,187,98,104,195,208,134,224,153,46,10,139,194,32,63,231,110,150,253,239,247,188,224,198,248,
-  227,15,142,174,178,162,172,8,95,103,222,139,186,23,5,23,171,219,134,217,134,193,71,57,198,228,25,147,7,10,197,22,
-  241,40,226,1,160,127,163,127,243,95,49,118,76,79,136,182,79,219,7,233,109,82,7,164,14,128,5,243,230,77,156,55,
-  17,150,76,88,28,190,56,28,50,63,202,236,158,217,29,68,37,128,157,169,74,80,121,165,171,172,13,112,120,137,118,210,
-  20,80,63,251,31,19,40,43,63,58,3,3,107,202,121,0,107,44,182,31,173,93,173,125,42,111,12,219,30,60,36,100,
-  34,104,37,181,53,34,30,184,202,17,182,3,18,167,18,238,145,24,166,26,238,9,12,148,239,242,41,200,242,52,148,207,
-  1,9,88,184,15,4,162,225,3,120,32,209,129,155,88,73,7,52,44,8,144,135,56,200,143,64,78,153,91,150,4,121,
-  89,158,227,0,176,154,47,228,167,32,99,228,61,121,3,100,89,185,80,206,7,35,214,249,129,243,29,184,63,35,185,112,
-  114,20,24,157,101,97,25,11,228,7,56,152,139,171,0,29,238,41,210,129,179,105,241,187,221,139,236,159,98,176,241,3,
-  104,182,73,126,14,176,48,87,128,213,111,155,223,94,207,2,254,94,126,237,252,122,1,147,100,85,89,31,240,226,50,247,
-  1,139,169,44,88,177,160,3,14,156,56,129,7,166,225,197,134,15,18,176,99,195,27,216,196,247,28,0,153,75,70,201,
-  80,224,188,252,145,61,64,202,207,148,13,127,179,245,18,30,88,64,174,150,63,202,125,64,91,62,97,60,96,99,46,223,
-  66,106,169,212,235,105,55,33,249,243,52,255,84,7,80,5,64,175,140,55,192,216,245,204,5,24,214,141,237,0,250,210,
-  248,6,238,190,118,195,13,55,220,248,95,128,245,169,109,152,47,153,7,26,64,208,73,246,2,140,185,110,248,1,116,159,
-  95,248,92,161,140,66,25,90,149,126,159,14,72,28,144,8,249,251,199,54,138,109,4,160,31,213,143,2,112,138,83,230,
-  25,180,63,245,214,76,214,40,163,154,81,13,114,207,203,93,40,119,33,136,169,30,19,28,19,12,231,7,31,141,59,26,
-  7,183,74,58,123,58,123,66,244,126,155,195,230,0,201,19,66,174,126,237,98,30,20,163,24,60,248,84,175,161,215,128,
-  132,222,246,72,123,36,68,93,205,61,54,247,88,136,154,28,229,29,229,13,44,48,222,51,222,251,175,26,59,166,231,201,
-  40,103,148,3,239,197,62,103,124,206,64,167,65,93,239,118,189,11,129,27,2,191,10,252,10,102,141,159,57,125,230,116,
-  72,173,159,214,61,173,123,21,95,237,37,128,153,131,196,28,128,158,21,229,61,128,61,111,198,45,85,39,141,111,245,63,
-  50,243,244,71,219,98,23,141,85,0,69,143,22,187,21,251,125,108,58,244,123,191,123,206,30,77,193,163,157,168,39,14,
-  1,231,229,34,99,8,144,202,1,78,3,18,59,62,64,44,69,241,1,121,77,222,32,5,40,205,61,89,17,228,12,30,
-  112,26,200,67,118,10,3,190,164,145,7,72,39,9,47,192,102,134,40,254,32,47,114,1,72,162,1,237,64,158,145,241,
-  114,40,24,55,244,234,250,50,200,108,102,111,147,153,23,28,56,194,29,157,225,92,131,243,175,157,223,9,95,55,88,20,
-  191,168,11,164,111,81,172,208,42,180,46,182,139,154,171,57,33,3,224,236,72,247,18,251,199,80,239,170,57,60,246,2,
-  240,178,86,27,32,174,180,101,158,214,94,235,236,25,220,245,205,182,141,218,238,132,202,147,74,5,149,250,2,12,103,102,
-  117,251,187,128,167,172,33,135,2,190,228,33,8,200,199,67,190,1,110,241,35,115,128,4,194,8,1,50,113,18,11,120,
-  176,150,251,64,16,193,4,130,44,40,75,203,124,128,55,173,217,10,100,34,30,243,246,6,152,6,160,239,165,67,126,11,
-  122,99,35,82,223,15,153,27,245,113,198,231,96,204,21,199,24,13,243,239,124,215,233,187,36,216,226,220,199,190,225,160,
-  41,99,207,46,21,218,87,182,50,51,0,108,31,171,29,72,95,234,238,113,55,220,112,195,13,183,226,241,199,20,14,151,
-  133,238,46,128,255,28,21,125,60,170,182,97,7,232,222,161,88,187,162,111,23,125,91,155,242,234,172,215,223,120,253,13,
-  200,93,44,102,105,204,82,0,125,149,190,10,128,211,156,126,42,10,199,207,160,234,105,120,191,231,187,214,119,45,20,115,
-  22,31,92,124,48,28,253,248,40,71,129,203,49,142,195,142,195,144,123,158,173,190,173,62,168,152,234,223,115,122,83,241,
-  8,164,56,197,225,106,31,71,156,35,14,30,116,36,23,185,160,106,187,216,218,177,181,193,255,61,255,143,253,63,6,144,
-  37,100,9,0,110,254,155,136,254,127,34,84,210,61,242,182,188,13,214,143,172,233,214,116,104,158,208,170,115,171,206,224,
-  145,236,145,205,35,27,76,221,51,101,231,148,157,144,50,61,181,74,106,149,146,229,181,182,0,211,38,113,27,160,199,91,
-  44,0,216,243,65,92,118,83,1,185,241,255,115,194,197,121,155,7,17,102,123,6,160,246,13,109,23,64,96,64,185,192,
-  98,251,139,251,64,14,2,31,4,62,11,132,165,125,146,246,62,80,197,184,165,191,1,132,146,93,84,1,234,80,150,250,
-  128,141,24,60,0,141,183,88,7,196,115,75,214,6,78,74,7,5,128,157,66,195,11,240,144,27,57,12,228,103,25,27,
-  0,139,169,128,103,103,44,26,112,153,214,116,1,110,176,136,61,160,87,213,14,137,111,33,125,177,241,177,209,25,236,161,
-  158,239,120,70,195,142,202,247,83,239,159,129,244,67,142,130,142,220,32,222,48,159,195,23,224,252,18,229,233,56,233,252,
-  3,217,6,110,60,106,176,120,78,181,22,11,64,246,237,198,17,128,26,125,194,71,134,228,9,169,194,220,178,31,20,90,
-  22,123,8,66,59,89,26,91,26,0,169,162,185,24,7,248,138,190,98,8,0,209,138,138,156,239,249,14,64,254,32,183,
-  3,109,176,98,1,4,215,77,246,188,98,102,56,95,103,158,1,208,138,105,133,81,218,99,144,105,168,121,188,47,131,8,
-  2,106,26,151,141,0,200,28,96,191,106,207,7,233,67,245,30,206,203,240,240,51,227,180,49,17,46,175,186,126,245,250,
-  119,64,123,243,87,55,30,93,23,183,85,100,58,64,70,53,162,220,125,237,134,27,110,184,225,86,60,254,136,64,213,215,
-  60,40,10,224,145,170,92,232,195,242,25,233,0,47,90,10,143,138,157,27,59,87,251,236,213,232,215,119,189,190,11,114,
-  23,139,89,29,179,26,64,159,173,207,6,32,67,89,73,159,122,29,11,23,92,73,211,149,68,37,40,156,92,184,85,225,
-  86,96,13,182,142,181,142,133,75,9,246,138,246,138,80,165,175,207,8,159,17,64,48,126,248,1,247,179,88,159,254,61,
-  124,149,226,100,84,97,37,43,225,252,167,246,56,123,28,208,81,172,23,235,161,152,127,241,158,197,123,2,229,45,185,44,
-  185,0,244,27,250,141,191,244,249,255,108,152,185,51,178,137,108,2,218,55,218,103,218,103,208,240,84,147,247,154,188,7,
-  198,77,227,186,113,29,166,62,152,114,103,202,29,72,191,149,30,150,30,86,116,154,200,11,240,117,148,82,182,186,133,208,
-  19,224,240,189,122,101,213,73,55,52,251,127,54,227,90,152,173,29,192,111,177,76,1,168,93,52,192,223,55,205,207,19,
-  74,136,252,235,242,31,3,72,62,159,44,128,18,169,179,82,15,3,86,227,53,99,56,16,76,16,239,3,126,248,224,5,
-  104,24,72,32,141,64,138,1,39,40,196,118,224,34,253,17,192,45,212,204,204,199,82,236,128,3,73,20,60,50,134,213,
-  145,131,251,216,128,11,156,35,5,100,134,35,216,209,16,140,177,25,91,50,50,33,117,173,60,38,237,112,188,203,233,139,
-  103,22,128,177,146,24,0,75,71,243,44,26,192,182,190,214,162,0,55,39,57,203,155,159,239,114,47,178,191,7,117,135,
-  152,7,23,31,29,39,101,167,200,147,0,5,42,197,158,203,215,62,255,235,204,141,152,234,91,210,119,37,48,62,249,221,
-  148,229,64,101,71,45,199,52,160,184,60,36,15,2,158,166,225,38,3,39,163,129,115,100,34,129,68,181,234,225,79,16,
-  161,64,30,226,200,195,79,33,84,41,220,224,22,128,57,174,178,52,33,115,93,178,225,137,23,24,207,235,27,244,239,192,
-  145,144,188,61,121,17,56,183,218,111,101,190,7,231,95,188,57,232,214,135,112,253,222,173,57,183,138,129,120,91,5,223,
-  209,7,32,41,135,186,250,230,87,20,169,8,196,175,114,247,185,27,110,184,225,134,91,241,248,61,10,71,119,243,32,55,
-  128,120,153,147,0,61,39,25,59,0,250,205,204,107,207,147,59,79,110,75,253,126,207,12,216,56,96,35,228,206,25,179,
-  51,102,39,128,62,69,159,242,183,10,218,230,117,229,247,242,123,136,46,27,93,43,186,22,4,53,8,42,25,84,18,174,
-  191,246,96,237,131,181,144,49,210,152,107,204,5,239,55,181,33,218,16,144,67,185,101,110,204,255,254,228,111,17,70,24,
-  164,87,49,70,26,35,225,226,34,251,247,246,239,33,248,185,224,132,224,4,40,176,190,64,203,2,45,1,228,5,121,1,
-  128,156,228,252,91,222,67,46,114,1,63,213,15,185,195,157,255,168,95,172,102,130,234,0,57,0,180,88,173,149,214,10,
-  26,215,104,182,175,217,62,72,223,148,62,55,125,46,204,26,57,115,221,204,117,224,184,226,104,224,104,80,242,186,170,132,
-  254,101,9,229,33,235,82,92,92,6,184,240,125,189,134,166,2,178,246,255,201,140,187,103,182,62,0,133,133,209,3,160,
-  100,233,152,169,209,61,115,141,35,61,215,231,225,243,194,34,128,195,233,187,50,194,129,142,206,201,206,138,128,191,162,109,
-  6,238,242,75,9,219,62,102,127,53,50,91,87,223,201,44,181,80,152,127,255,114,175,106,248,226,5,124,35,91,203,246,
-  96,28,201,172,147,89,25,244,183,210,186,166,250,192,245,194,183,103,221,233,1,151,103,36,46,188,222,18,180,49,192,2,
-  215,117,236,157,9,7,216,208,201,169,216,172,142,139,104,247,226,250,135,22,165,154,170,181,153,236,111,246,16,128,184,222,
-  214,157,98,129,88,234,105,148,253,177,232,196,34,197,192,250,190,124,86,110,5,214,58,235,59,27,1,229,228,89,121,14,
-  128,145,140,124,100,254,122,153,39,46,246,179,246,201,6,147,39,65,133,86,238,98,5,223,129,113,214,57,194,57,28,156,
-  139,50,60,50,30,130,243,217,244,215,211,63,129,227,215,206,38,159,73,133,140,137,142,99,14,79,208,230,60,170,152,30,
-  159,164,20,156,227,73,238,158,118,195,13,55,220,248,223,196,31,14,102,138,115,89,230,130,204,246,48,64,195,103,141,92,
-  0,111,63,19,222,60,236,245,176,215,189,235,247,62,255,202,157,87,238,64,254,156,133,102,21,154,5,160,79,211,167,253,
-  173,10,199,207,32,47,201,75,16,60,32,100,113,200,98,200,62,39,91,215,108,93,225,110,75,231,81,231,81,72,238,107,
-  108,53,182,130,56,71,1,10,252,14,1,34,154,82,148,130,123,95,232,183,245,219,112,171,180,115,168,115,40,228,154,151,
-  171,92,174,114,16,190,42,162,120,68,113,0,57,91,206,254,107,30,212,20,66,189,85,130,167,54,67,155,1,242,83,153,
-  34,83,128,72,66,20,131,145,86,74,43,5,64,25,202,0,252,70,15,207,147,21,144,151,229,203,160,221,212,250,105,253,
-  160,69,96,235,180,214,105,208,236,108,243,81,205,71,129,136,20,95,136,47,64,85,113,175,114,84,89,120,199,234,148,7,
-  8,185,34,234,253,255,152,104,245,230,153,7,101,204,246,4,64,205,103,68,35,128,224,244,82,221,10,215,40,242,42,248,
-  180,181,236,179,166,3,91,157,37,157,149,0,255,44,218,104,151,130,152,157,236,191,208,10,178,145,13,240,52,11,65,122,
-  152,173,235,111,97,182,218,19,90,20,29,180,204,144,3,229,96,112,54,112,52,182,151,6,189,87,122,182,140,98,240,163,
-  243,66,195,11,207,64,178,61,125,77,250,2,16,219,204,231,200,4,184,224,84,245,120,246,143,228,129,250,120,253,91,238,
-  197,245,15,41,30,163,84,235,120,9,32,162,146,156,15,80,227,249,176,133,33,237,67,122,67,209,41,49,211,99,54,2,
-  216,215,217,15,3,49,178,143,124,25,192,53,127,241,81,74,173,107,158,255,105,173,58,127,109,25,32,253,65,159,233,108,
-  235,104,4,206,97,246,198,246,6,144,242,125,90,181,180,10,240,227,157,132,130,9,118,151,98,253,136,226,155,10,176,101,
-  132,242,228,60,236,164,152,241,220,112,195,13,55,220,112,43,30,191,21,139,205,118,27,64,161,238,50,19,96,244,98,239,
-  227,94,181,189,106,135,87,233,90,224,249,169,207,79,133,210,222,101,243,148,205,3,160,95,210,47,1,63,133,84,253,67,
-  32,223,149,239,130,247,88,175,73,94,147,32,170,119,142,78,57,58,65,106,57,18,73,132,251,222,122,17,189,8,136,35,
-  228,35,223,239,16,32,246,18,67,12,92,159,238,220,226,220,2,169,102,238,66,129,91,5,98,11,196,130,87,156,119,39,
-  239,78,0,242,61,249,215,36,149,155,138,128,184,35,238,192,177,69,135,59,31,238,12,99,235,126,220,226,227,22,240,229,
-  212,241,45,199,183,132,19,121,143,164,28,73,1,99,175,12,146,65,0,34,72,40,229,50,157,244,255,72,1,41,33,75,
-  128,71,46,207,206,158,157,225,185,197,157,62,232,244,1,84,90,91,41,79,165,60,96,212,50,191,253,16,160,197,1,150,
-  3,12,174,46,11,1,216,166,214,75,253,47,23,40,119,154,7,73,0,62,249,100,126,128,186,23,252,159,247,177,248,4,
-  65,201,170,133,222,44,56,19,192,113,196,145,0,84,51,82,141,212,199,20,198,167,165,168,171,254,185,204,81,142,130,33,
-  244,188,122,94,112,222,176,223,179,159,128,180,62,233,161,233,133,224,132,71,194,185,132,233,96,212,52,127,229,162,79,245,
-  1,216,241,42,53,1,174,87,118,199,236,255,135,8,55,219,66,0,101,234,202,45,0,5,243,198,94,141,233,16,51,2,
-  178,245,14,108,18,52,4,88,229,152,235,88,9,228,148,207,201,103,31,83,56,254,244,161,107,142,59,3,3,140,45,70,
-  128,17,4,206,68,123,9,71,56,200,119,244,209,250,84,184,118,227,129,229,193,81,184,126,249,97,173,135,133,65,188,253,
-  232,41,82,28,106,94,111,114,42,118,46,136,255,208,221,213,110,184,225,134,27,110,197,227,55,32,174,155,121,208,8,192,
-  247,35,14,1,188,179,156,247,24,203,216,226,159,55,217,223,116,91,211,109,80,167,122,189,209,245,70,3,200,48,25,6,
-  252,196,82,245,79,203,97,80,201,220,151,173,85,172,85,32,114,100,212,15,81,63,128,211,140,61,190,123,65,191,169,223,
-  4,154,42,90,220,95,133,77,61,159,60,207,33,14,193,181,120,71,140,35,6,24,42,170,138,170,144,63,170,192,166,2,
-  155,0,180,139,218,197,191,82,17,19,1,34,0,30,196,223,255,230,254,55,48,121,230,164,204,73,153,176,254,221,248,43,
-  241,87,96,197,55,43,14,172,56,0,195,23,13,31,48,124,0,204,235,57,231,210,156,75,144,50,32,57,45,57,13,64,
-  203,169,169,80,48,87,193,70,249,59,19,136,93,44,88,179,140,89,224,191,41,48,60,48,28,186,151,122,113,229,139,43,
-  33,207,204,220,183,115,223,6,67,0,136,52,165,172,188,92,81,124,0,208,126,135,168,111,142,63,191,255,210,153,118,218,
-  108,47,0,20,172,103,180,5,40,253,99,238,201,57,102,228,216,4,185,245,136,59,217,4,176,207,190,206,190,15,240,144,
-  87,229,149,167,42,80,186,160,44,218,111,203,102,178,25,232,194,177,201,177,26,244,221,246,47,29,159,195,141,94,15,103,
-  62,252,26,46,205,191,119,249,238,18,208,92,201,228,18,192,217,91,245,211,134,29,236,1,144,163,197,60,247,162,250,71,
-  16,87,206,60,48,67,172,152,9,80,175,177,245,180,200,35,242,121,55,41,123,174,232,174,162,233,96,171,203,25,249,0,
-  40,168,235,186,4,124,57,163,8,10,126,111,33,213,223,12,197,98,117,150,141,108,4,195,71,63,175,159,1,199,162,204,
-  13,153,115,64,63,168,191,167,143,130,147,93,110,102,191,113,14,210,186,58,238,56,174,129,120,215,252,181,5,224,212,27,
-  202,171,118,228,67,188,221,125,237,134,27,110,184,225,86,60,126,203,198,56,216,148,55,134,60,250,203,206,35,244,251,0,
-  109,222,46,145,183,228,242,146,203,161,109,100,251,201,237,39,131,181,132,109,188,109,252,163,130,147,165,153,165,25,128,101,
-  175,101,47,128,150,77,203,6,32,118,11,197,245,239,18,236,229,95,204,136,227,186,94,60,241,144,237,249,136,99,17,199,
-  128,239,104,68,35,184,63,68,183,233,54,144,175,253,54,182,41,81,73,9,114,142,112,89,92,22,135,235,181,28,249,28,
-  249,192,167,141,239,41,223,83,144,235,78,244,218,104,149,175,80,149,170,127,229,243,105,135,181,195,112,122,222,169,74,167,
-  42,193,249,131,23,62,188,240,33,148,126,206,115,164,231,72,232,80,48,96,64,192,0,240,248,60,121,82,242,36,152,21,
-  59,167,243,156,206,48,214,247,163,195,31,29,134,43,29,47,62,184,248,0,64,171,162,85,1,160,14,138,193,236,247,134,
-  98,153,161,27,198,13,227,6,68,119,207,187,32,239,2,232,242,101,183,142,221,58,130,111,33,159,234,62,213,65,150,4,
-  240,157,167,44,164,111,191,166,148,179,98,73,40,230,47,234,181,248,47,17,40,93,138,186,43,155,42,13,160,198,92,177,
-  22,32,252,165,82,115,10,159,46,236,15,126,149,60,242,216,170,1,123,157,73,206,116,32,150,25,138,249,231,63,46,152,
-  249,107,176,96,1,121,66,62,47,187,131,51,143,99,160,163,11,232,23,28,165,28,101,224,76,167,91,75,110,245,135,164,
-  137,25,111,103,244,4,113,246,209,231,185,252,64,205,237,61,105,152,57,29,235,253,220,139,234,31,130,75,185,252,24,32,
-  172,165,49,23,160,102,193,144,41,65,195,131,38,65,209,129,49,67,243,205,7,200,92,105,63,8,248,27,141,141,70,143,
-  173,155,38,185,195,159,222,6,18,8,244,145,5,100,65,208,247,57,250,58,122,129,222,198,209,204,209,10,210,222,179,223,
-  179,31,130,147,221,18,215,36,14,7,62,207,82,87,48,127,13,108,189,32,163,1,238,53,165,131,187,171,221,112,195,13,
-  55,254,151,241,219,147,203,143,152,130,245,135,0,69,171,27,95,2,188,110,9,41,25,104,4,26,30,175,118,177,117,253,
-  160,235,7,16,124,58,236,235,176,175,1,228,105,121,26,50,222,76,159,158,62,29,174,70,93,201,127,37,63,164,93,77,
-  155,147,54,7,2,167,6,142,13,28,11,225,121,194,191,10,255,10,124,139,251,103,250,103,2,223,106,207,106,207,2,24,
-  94,134,162,105,157,42,167,154,247,106,125,170,239,226,71,126,132,160,54,193,239,4,191,3,214,182,214,135,214,135,144,92,
-  193,152,103,204,3,185,221,180,40,182,49,61,54,233,79,80,144,166,145,131,28,144,118,194,232,98,116,129,59,45,156,47,
-  57,95,130,80,191,236,70,118,3,194,99,195,214,134,173,5,86,26,15,140,7,0,156,229,236,83,125,46,83,208,151,179,
-  228,44,56,254,193,177,53,199,214,128,35,213,49,192,49,0,74,156,12,108,28,216,24,170,181,245,105,229,211,10,242,87,
-  242,248,192,227,3,88,177,44,249,102,242,77,216,249,241,174,87,119,189,10,9,207,38,36,37,36,193,11,190,47,126,253,
-  226,215,80,193,179,210,158,74,123,64,220,19,197,68,49,0,165,104,253,14,65,89,21,52,195,8,49,66,160,114,72,213,
-  235,85,175,195,241,203,199,60,142,121,192,178,47,150,178,20,160,28,64,193,226,42,180,103,88,30,25,15,208,163,179,8,
-  1,72,155,243,143,159,97,215,205,54,25,192,115,190,44,2,80,247,186,239,33,175,86,94,61,160,84,247,216,249,177,167,
-  129,80,71,115,231,76,160,146,49,201,136,7,108,228,37,143,154,114,79,53,196,234,150,178,152,27,177,122,89,189,44,56,
-  247,218,143,218,55,67,250,183,246,242,153,223,194,137,129,55,28,137,223,129,62,30,157,3,96,25,100,254,218,0,216,53,
-  67,81,182,94,139,85,207,231,198,31,70,54,179,245,0,40,189,92,46,0,136,13,40,244,98,204,168,152,205,204,204,94,
-  55,104,88,80,113,32,46,181,100,74,105,96,160,236,40,37,160,115,152,35,128,241,39,175,143,46,22,43,3,79,60,192,
-  24,104,60,52,82,192,57,220,94,216,110,1,35,192,89,214,89,9,18,250,36,149,124,104,192,181,136,7,145,15,154,129,
-  112,85,110,153,5,144,222,72,205,241,141,201,138,44,2,226,167,187,187,218,13,55,220,112,195,173,120,252,27,196,53,50,
-  15,2,0,108,95,168,34,122,175,250,105,249,25,198,176,252,221,26,143,87,161,85,197,99,75,158,47,121,30,64,250,72,
-  31,184,185,51,177,77,98,27,152,82,90,133,244,28,88,117,160,211,129,78,96,15,113,232,14,29,188,18,188,122,123,245,
-  134,168,125,81,45,162,90,64,169,114,165,62,40,245,1,84,169,90,213,168,106,64,190,33,5,130,10,4,129,173,177,231,
-  56,207,113,0,198,17,197,101,47,167,203,233,79,69,17,153,197,44,240,190,229,93,196,187,8,88,79,90,215,88,215,64,
-  198,3,99,144,49,8,228,9,217,89,118,6,186,139,130,162,32,144,238,18,156,127,182,95,255,72,126,242,67,146,205,88,
-  108,44,134,135,199,141,45,198,22,40,250,76,196,169,136,83,224,23,230,95,205,191,26,64,22,59,214,55,60,213,74,229,
-  226,43,241,21,164,127,156,90,59,181,54,156,92,127,178,194,201,10,224,103,178,43,69,143,179,5,216,2,192,152,199,12,
-  102,64,174,41,54,171,205,10,221,186,4,21,12,42,8,241,133,82,94,78,121,25,182,28,188,252,252,229,231,225,163,157,
-  31,125,249,209,151,240,220,167,207,77,125,110,42,52,109,219,98,85,139,85,224,185,200,171,150,87,45,0,163,135,98,106,
-  114,213,247,248,183,162,13,32,39,202,137,96,25,104,93,106,93,10,173,250,183,201,211,38,15,28,125,229,72,143,35,61,
-  224,220,177,243,125,206,247,1,205,19,160,197,94,81,22,96,221,15,188,11,48,107,78,189,56,117,178,13,69,255,161,51,
-  204,97,182,33,0,249,23,26,207,1,148,253,44,87,175,168,139,81,94,144,119,107,246,165,145,167,0,236,207,219,79,3,
-  249,140,107,134,34,32,253,60,203,122,252,116,160,250,103,170,124,81,190,4,122,23,231,155,206,190,160,191,100,31,101,31,
-  2,183,222,79,186,147,252,1,92,244,185,59,232,238,85,208,186,144,8,152,245,71,140,108,42,102,127,195,0,142,2,232,
-  151,227,55,186,23,211,63,130,184,48,243,192,69,162,48,4,160,238,37,203,39,204,100,166,79,116,233,31,10,105,177,3,
-  193,154,236,176,57,94,6,167,150,30,154,225,9,60,212,247,232,249,128,99,248,16,128,98,43,19,127,234,206,160,66,172,
-  126,100,31,251,65,255,196,225,229,144,144,249,101,186,103,218,50,208,119,232,135,157,153,240,99,240,141,207,110,6,67,106,
-  170,189,189,221,9,218,212,71,21,168,51,45,213,61,29,236,98,38,190,123,185,123,220,13,55,220,112,195,173,120,252,34,
-  234,221,53,15,154,155,109,38,64,237,207,245,203,0,109,155,23,202,40,248,69,193,47,160,73,243,102,41,205,82,64,108,
-  211,174,106,87,1,140,161,198,80,88,49,98,89,255,101,253,97,235,184,109,53,183,213,132,252,165,109,249,109,249,33,91,
-  134,213,110,181,195,253,246,233,245,210,235,193,245,245,167,246,159,218,15,167,180,83,193,167,130,97,117,205,85,142,85,14,
-  40,119,180,220,177,114,199,160,97,131,198,71,27,31,133,226,181,74,44,47,177,28,172,219,60,142,121,28,3,48,44,134,
-  138,105,190,173,138,208,253,199,5,7,183,179,29,60,250,218,118,216,118,128,246,158,86,64,43,0,142,57,186,85,183,130,
-  12,85,57,42,194,251,223,111,240,98,177,162,197,125,144,170,215,209,235,64,134,89,80,49,242,74,228,237,200,219,96,155,
-  225,17,229,17,5,143,120,114,146,120,58,228,146,174,16,171,85,218,42,184,54,246,106,219,171,109,225,226,184,139,229,46,
-  150,131,28,111,218,118,217,118,65,120,21,75,79,75,79,144,197,40,79,121,144,163,20,157,174,239,102,173,168,86,20,154,
-  29,240,47,230,95,12,34,107,88,235,91,235,195,119,31,39,127,145,252,5,76,29,60,237,173,105,111,193,181,31,174,54,
-  184,218,0,186,52,123,190,197,243,45,32,228,187,176,146,97,37,1,140,179,134,242,228,24,143,85,62,254,87,40,1,7,
-  163,157,209,14,178,141,139,26,18,53,4,90,119,105,155,217,54,19,62,235,253,73,213,79,170,130,163,188,99,135,99,135,
-  87,132,120,1,224,181,22,44,2,216,178,94,172,7,184,82,255,31,39,80,30,50,15,122,153,173,55,64,181,205,84,7,
-  136,108,86,242,165,216,244,216,124,28,14,176,120,46,240,220,8,140,78,255,58,125,38,240,6,83,81,227,226,105,135,88,
-  121,224,1,210,79,126,37,191,2,103,126,251,119,246,153,160,215,114,230,115,88,224,236,181,219,69,110,165,195,131,171,105,
-  147,210,234,131,240,162,57,45,48,233,115,175,221,81,225,61,187,94,55,243,10,134,184,151,210,63,8,87,222,216,7,0,
-  33,179,141,237,0,181,139,132,234,1,31,7,204,36,165,224,219,17,195,35,194,32,205,251,214,229,91,75,65,239,154,242,
-  105,202,155,192,9,185,94,238,2,4,129,89,137,254,127,238,206,224,129,13,56,78,50,222,160,235,142,110,142,218,144,89,
-  45,125,114,122,8,100,228,113,188,233,120,1,78,238,75,108,157,152,31,100,28,112,138,159,66,172,28,0,219,22,49,27,
-  224,246,75,188,226,238,106,55,220,112,195,13,55,254,141,226,33,38,155,7,45,0,124,95,144,229,1,250,120,120,54,179,
-  174,181,174,13,252,164,197,180,150,41,45,83,32,116,91,196,144,136,33,224,10,153,201,124,33,163,78,70,29,56,125,231,
-  116,213,211,85,33,96,44,39,57,9,207,25,129,239,6,190,11,57,103,217,190,181,125,11,153,179,229,71,242,35,184,219,
-  86,239,168,119,132,147,37,50,109,153,54,216,31,146,182,62,109,61,108,245,222,218,100,107,19,216,235,187,207,99,159,7,
-  84,107,84,213,167,170,15,180,76,104,221,164,117,19,136,25,156,63,45,127,26,48,199,149,180,46,253,165,191,105,85,251,
-  67,118,53,121,88,30,6,107,103,91,111,91,111,208,238,107,133,180,66,224,216,231,172,238,172,14,178,55,23,185,8,154,
-  151,82,112,228,169,39,156,38,135,18,164,239,141,212,115,234,57,193,48,243,56,178,77,206,126,43,251,45,0,173,178,86,
-  25,64,79,210,159,46,155,189,235,61,52,160,1,28,104,178,191,252,254,242,144,84,49,57,103,114,78,168,157,226,119,193,
-  239,2,120,117,211,94,212,94,4,227,85,238,113,15,112,154,201,241,78,78,112,2,44,95,137,126,162,31,84,26,234,83,
-  200,167,16,132,183,178,122,89,189,96,201,160,164,253,73,251,97,213,103,107,118,173,217,5,55,94,187,113,254,198,121,232,
-  245,233,203,65,47,7,65,158,215,242,85,200,87,1,192,184,106,90,240,175,113,77,13,173,39,40,110,230,231,70,29,163,
-  14,84,177,87,173,94,181,58,124,159,127,235,183,91,191,133,221,183,126,216,241,195,14,176,120,3,148,48,148,32,255,194,
-  135,150,32,128,119,94,142,83,65,87,19,226,59,255,67,102,214,126,179,29,12,96,91,41,111,3,212,155,232,211,220,99,
-  190,199,90,86,151,190,20,27,80,248,109,224,132,243,83,231,13,96,147,177,215,24,6,64,65,242,171,33,147,21,126,243,
-  231,66,133,12,62,224,18,151,192,40,163,119,210,59,131,243,154,221,106,191,12,153,203,236,247,236,158,112,34,127,98,245,
-  196,8,112,46,84,10,135,229,237,44,117,5,216,19,161,216,151,46,159,250,45,53,109,220,248,55,40,250,168,2,82,178,
-  165,202,155,42,60,33,226,245,128,78,1,157,33,117,192,221,117,119,234,192,217,57,233,215,210,163,192,24,104,159,238,216,
-  1,56,204,138,48,194,84,16,254,108,8,211,144,115,15,111,2,65,110,53,48,124,65,12,34,67,94,129,91,41,105,247,
-  210,2,224,202,103,247,95,188,231,0,237,99,83,241,48,0,50,63,229,62,192,134,138,40,147,192,134,248,237,238,174,118,
-  195,13,55,220,112,227,23,20,143,70,170,0,24,206,97,230,7,65,0,117,155,26,5,1,234,248,22,63,92,98,114,137,
-  201,80,57,180,234,249,170,231,1,140,158,70,79,0,230,51,31,40,46,74,138,146,192,135,140,103,60,136,201,76,102,50,
-  88,219,137,205,98,51,224,32,136,32,240,24,39,46,136,11,16,85,210,218,210,218,18,162,10,91,131,173,193,240,204,26,
-  239,247,188,223,131,99,239,102,140,207,24,15,223,143,79,141,76,141,132,117,11,214,183,93,223,22,14,125,117,40,225,80,
-  2,180,106,209,250,155,214,223,64,253,143,27,182,109,216,22,124,7,250,159,242,63,5,191,110,96,127,34,46,112,1,44,
-  179,44,43,45,43,65,11,208,118,106,59,193,112,178,155,221,32,155,82,155,218,192,146,39,8,206,166,183,69,86,80,231,
-  121,240,162,30,166,135,129,120,85,4,138,64,8,191,26,94,61,188,58,128,121,30,56,200,193,167,210,167,38,237,173,165,
-  189,165,61,92,170,115,254,225,249,135,16,223,84,177,87,5,188,196,50,150,65,209,175,189,90,122,181,4,18,40,75,89,
-  192,249,179,156,21,171,169,128,204,226,1,15,64,134,169,122,18,249,247,120,52,245,104,10,61,214,7,205,12,154,9,203,
-  71,37,79,76,158,8,251,22,29,188,120,240,34,140,250,224,195,89,31,206,130,151,251,189,210,225,149,14,80,210,90,166,
-  77,153,54,0,198,82,99,41,0,87,205,90,198,79,82,0,107,200,26,224,61,223,111,163,223,70,104,182,169,197,198,22,
-  27,225,88,167,35,171,142,172,130,180,145,233,77,210,155,128,88,2,208,165,153,174,1,44,120,157,37,96,22,199,248,103,
-  96,209,163,127,228,237,101,124,11,80,126,123,142,28,217,35,179,151,130,124,109,115,244,137,122,15,72,202,156,147,233,3,
-  148,49,74,202,154,128,149,193,148,250,11,20,210,79,101,63,217,15,244,151,157,231,157,103,65,127,205,209,221,209,25,110,
-  223,77,30,157,82,18,206,219,239,68,220,25,4,90,176,249,171,154,0,242,35,53,70,226,119,115,5,192,153,247,159,69,
-  141,253,223,131,122,247,205,3,23,139,213,67,128,234,21,180,68,0,223,147,23,115,221,184,114,227,32,124,20,180,100,197,
-  146,247,0,171,113,65,38,0,229,217,32,119,0,22,66,178,188,209,79,19,58,5,49,128,7,102,104,232,0,78,136,188,
-  224,252,193,176,26,105,144,58,219,222,62,179,57,136,141,143,42,166,231,61,41,12,176,191,216,63,140,193,208,13,55,220,
-  112,195,141,127,154,226,225,116,89,54,3,0,188,63,148,113,0,221,79,121,29,182,165,218,82,125,6,54,74,104,26,218,
-  52,20,124,61,252,123,250,247,4,208,139,235,42,169,184,49,141,193,243,158,231,203,158,47,67,206,82,57,91,229,108,5,
-  199,247,28,229,40,112,227,180,211,225,116,64,228,69,107,1,107,1,48,230,170,74,204,82,99,51,155,201,42,52,229,23,
-  162,197,104,49,80,121,155,207,57,159,115,80,180,163,103,117,207,234,176,243,185,180,59,105,119,96,171,126,59,249,118,50,
-  124,253,217,228,193,147,7,195,177,155,71,215,30,93,11,207,87,123,65,190,32,33,186,82,158,49,121,198,0,24,54,67,
-  89,2,239,162,194,198,126,45,6,250,26,215,64,44,18,43,196,10,16,217,132,183,240,6,227,156,204,46,179,131,44,206,
-  135,124,8,248,63,129,182,210,87,89,8,141,130,172,96,5,60,136,49,54,25,155,192,246,137,173,160,173,32,4,127,19,
-  18,31,18,15,160,234,131,0,165,41,253,167,246,165,89,121,92,75,209,82,224,78,190,155,165,111,150,134,73,179,39,156,
-  155,112,14,174,94,186,250,195,213,31,160,225,73,223,82,190,165,32,231,74,235,2,235,2,144,75,105,72,67,160,217,19,
-  206,234,122,103,119,21,123,149,145,71,41,46,97,101,85,242,253,115,11,3,235,7,214,135,160,6,150,250,150,250,176,197,
-  255,98,159,139,125,96,236,205,49,19,199,76,132,215,70,190,46,94,23,80,250,171,114,197,202,21,3,48,54,24,27,212,
-  80,251,165,28,25,178,216,116,140,157,198,78,40,121,163,228,133,146,23,160,236,59,229,139,149,47,6,223,7,110,99,27,
-  38,75,39,185,139,171,103,238,150,87,133,48,189,121,48,78,37,57,151,137,223,244,247,76,168,56,87,186,251,151,89,227,
-  2,168,188,157,221,0,57,78,20,111,82,232,66,33,127,242,6,206,242,106,229,61,6,248,244,97,187,135,9,192,91,116,
-  147,42,49,215,91,21,81,124,106,240,196,19,100,164,156,46,103,128,222,218,17,231,40,5,122,63,103,17,103,73,56,255,
-  230,29,227,206,126,184,191,44,109,102,218,135,32,30,243,186,36,206,81,97,129,59,223,113,205,129,248,29,238,69,244,15,
-  225,147,71,199,7,102,136,210,201,111,104,12,112,255,80,102,85,231,36,231,87,193,165,51,123,155,211,36,58,171,84,43,
-  84,252,27,238,215,21,198,186,153,190,63,41,162,32,150,163,106,58,185,188,204,247,1,118,76,84,185,76,137,63,8,87,
-  193,204,111,221,93,238,134,27,110,184,225,198,47,133,90,165,185,52,16,128,138,37,13,7,64,205,217,177,109,138,4,23,
-  9,134,178,99,202,110,44,187,17,24,102,236,50,118,153,91,166,18,240,175,115,29,120,215,210,209,210,17,74,172,45,121,
-  160,228,1,88,23,183,46,215,186,92,112,124,109,198,168,140,81,80,226,170,103,132,103,4,16,35,102,136,25,192,37,28,
-  56,126,18,112,101,121,229,49,144,82,181,1,75,44,63,90,126,132,134,47,249,95,247,191,14,177,35,60,199,120,142,129,
-  213,231,146,147,147,147,97,199,165,157,126,59,253,32,241,104,226,15,137,63,64,223,230,253,123,246,239,9,69,111,149,232,
-  80,162,3,128,81,211,44,122,150,66,202,191,125,23,55,184,1,90,15,109,188,54,30,180,188,154,135,230,1,242,34,109,
-  105,11,4,113,133,43,128,223,47,231,146,136,162,74,160,115,118,147,125,100,31,72,206,174,75,93,130,103,43,207,146,158,
-  37,33,224,235,0,143,0,15,224,35,89,79,170,68,210,99,170,218,243,159,166,112,108,210,54,193,131,161,247,58,223,235,
-  12,19,139,126,217,227,203,30,176,63,226,64,135,3,29,160,130,167,215,120,175,241,80,175,145,223,55,126,223,128,214,88,
-  196,139,120,144,111,255,206,58,34,22,211,19,146,192,97,14,131,239,12,173,162,86,17,90,180,240,31,238,63,28,60,142,
-  8,135,112,192,154,111,111,108,190,177,25,166,189,53,181,235,212,174,240,193,190,152,180,152,52,8,42,31,28,24,28,8,
-  32,239,202,187,255,238,66,114,132,28,1,30,29,189,199,123,143,135,184,251,13,140,6,6,236,235,182,103,203,158,45,144,
-  49,36,179,86,102,45,16,35,0,218,196,242,25,192,212,238,42,4,232,244,223,54,161,100,27,243,160,6,128,37,89,213,
-  183,136,91,225,101,183,133,218,114,106,29,203,172,42,50,160,200,120,16,109,156,55,156,159,2,33,186,191,190,5,176,114,
-  89,85,117,38,60,171,136,220,159,11,151,226,157,65,6,200,117,70,7,227,89,112,14,50,22,26,163,192,49,75,59,162,
-  29,130,19,105,183,182,221,108,11,142,185,242,142,156,0,150,247,205,95,167,2,28,106,174,4,203,171,253,229,65,0,235,
-  226,184,137,0,178,169,152,2,32,47,152,225,142,207,177,0,64,190,47,27,2,240,174,166,138,72,142,16,42,247,101,76,
-  168,58,239,143,73,253,213,233,87,6,253,111,45,188,27,62,48,21,85,151,241,225,33,192,146,201,42,188,206,127,185,104,
-  15,208,115,143,90,135,109,174,128,182,89,255,152,7,88,240,216,208,250,218,92,138,162,21,181,246,188,10,102,146,185,127,
-  86,210,252,127,25,226,76,210,10,169,222,120,144,69,121,169,99,52,85,51,165,169,233,86,119,169,141,242,17,3,20,128,
-  102,168,122,54,151,116,149,231,22,47,148,130,110,252,108,15,114,153,24,92,220,119,122,124,188,91,40,113,227,127,23,245,
-  170,152,7,61,76,217,70,213,60,43,101,206,20,231,63,238,134,21,121,140,16,26,128,220,37,84,152,244,17,83,142,254,
-  237,89,199,22,115,143,86,6,211,91,170,156,0,107,101,30,37,43,74,197,20,187,85,27,1,192,15,150,174,0,28,208,
-  149,193,103,147,73,222,113,150,74,0,166,105,27,28,255,212,245,36,75,241,136,107,243,168,128,33,62,147,223,2,180,11,
-  182,30,19,247,196,189,128,5,117,186,215,73,175,147,14,190,187,3,222,12,120,19,64,127,94,127,254,151,4,27,85,137,
-  187,68,139,146,1,37,3,32,231,244,156,119,115,222,133,227,239,94,173,115,181,14,220,136,243,59,239,119,30,162,250,89,
-  219,91,219,131,241,42,155,216,244,11,93,228,82,68,236,28,231,56,176,92,177,88,197,92,244,88,231,177,14,186,189,18,
-  252,73,240,39,176,246,149,228,204,228,76,216,250,202,5,207,11,158,240,201,218,177,77,199,54,133,129,27,6,127,60,248,
-  99,136,173,87,164,82,145,74,0,134,221,80,131,215,197,79,255,115,164,146,10,44,96,1,11,128,130,234,122,242,13,70,
-  49,10,228,32,51,9,188,235,19,60,39,53,240,197,23,156,151,100,75,217,18,82,151,27,205,141,230,224,93,210,219,219,
-  219,27,124,187,251,110,245,221,10,96,42,50,48,228,63,76,201,117,41,28,211,181,233,144,52,237,225,138,135,43,224,235,
-  237,19,10,77,40,4,219,46,109,215,182,107,80,60,196,51,210,51,18,90,175,14,72,14,72,6,223,67,218,33,237,16,
-  24,175,154,52,190,150,39,60,143,107,43,245,87,138,150,8,164,4,37,64,220,166,16,133,32,227,57,57,77,78,131,196,
-  41,142,234,142,234,112,250,25,251,80,251,80,56,221,63,51,44,51,12,164,89,193,218,190,47,179,108,102,89,208,59,59,
-  167,59,167,3,8,139,176,0,200,77,242,223,123,37,92,73,231,151,141,203,80,162,92,137,146,37,74,66,225,41,69,95,
-  44,250,34,28,200,80,145,106,22,13,32,207,0,242,2,180,158,194,121,128,145,196,181,83,39,137,95,248,215,78,40,209,
-  248,81,197,61,122,145,113,18,160,98,254,168,187,17,47,71,124,8,5,58,229,180,231,122,13,104,106,31,97,191,10,132,
-  201,185,82,213,117,105,103,142,139,167,118,107,38,13,244,93,238,130,140,229,26,87,129,60,30,115,108,175,195,131,250,150,
-  92,90,87,56,59,249,246,250,219,37,128,83,148,101,2,200,107,230,175,239,0,20,205,45,47,3,44,120,93,132,1,24,
-  7,100,1,0,125,185,162,9,214,253,85,66,188,158,166,60,62,206,0,21,86,168,151,53,98,0,156,205,152,12,160,63,
-  188,21,5,160,207,96,47,128,115,86,189,173,0,250,76,213,143,250,44,229,113,117,206,16,145,230,223,217,0,156,51,121,
-  0,160,79,84,84,195,250,4,229,205,116,126,162,22,94,253,38,57,0,82,7,42,193,240,234,45,149,9,113,201,170,206,
-  123,45,15,253,0,238,231,166,27,128,177,55,254,220,223,187,0,199,31,122,84,208,53,190,86,43,242,204,26,196,3,44,
-  62,35,239,3,88,150,154,115,244,204,63,84,94,232,47,138,2,56,95,84,239,61,101,140,153,207,69,252,182,191,72,81,
-  216,101,30,172,4,208,190,85,215,15,88,162,194,78,35,46,170,245,44,123,7,117,127,217,94,84,121,129,97,126,138,52,
-  37,232,123,110,0,248,73,121,12,192,27,85,188,211,115,44,27,1,60,46,234,175,2,104,215,116,79,0,205,229,207,108,
-  98,246,139,227,103,235,166,175,82,37,100,172,242,4,25,159,152,198,38,87,128,157,167,169,184,204,84,70,31,163,32,185,
-  1,140,194,245,222,3,48,42,41,65,203,176,170,239,25,81,38,37,122,45,138,0,24,225,106,125,209,123,137,8,0,199,
-  107,74,225,113,14,81,117,83,28,175,169,239,59,158,83,243,49,53,94,205,143,251,102,28,242,117,187,218,3,47,125,162,
-  10,154,94,95,162,165,0,164,39,25,42,28,248,86,252,162,191,72,208,52,85,55,225,122,163,203,1,158,217,173,108,71,
-  237,210,229,36,0,91,59,165,176,201,21,127,123,232,158,234,95,31,98,0,228,124,181,14,201,207,204,207,255,83,214,54,
-  95,53,94,141,125,74,30,146,113,38,229,124,118,179,248,238,104,197,234,104,196,154,178,86,21,37,175,25,99,85,29,32,
-  231,126,117,31,118,67,229,140,165,247,86,44,132,15,239,171,249,144,88,70,141,243,11,15,149,215,52,225,148,138,78,78,
-  157,101,170,190,31,197,59,254,94,69,95,61,119,196,117,69,74,49,184,179,236,2,144,171,189,242,152,202,13,166,196,42,
-  255,246,21,79,60,54,30,108,50,167,185,31,122,2,200,45,166,140,233,251,59,207,234,77,83,0,217,211,156,255,109,85,
-  132,129,60,42,218,0,200,98,50,25,192,24,229,92,2,32,55,155,253,95,73,213,127,146,249,212,8,212,223,86,117,181,
-  244,73,245,222,0,208,167,170,208,87,231,66,115,127,158,38,162,0,28,239,171,239,101,14,85,227,231,238,24,181,127,94,
-  123,85,41,66,151,242,168,117,242,234,97,181,126,220,107,174,238,207,232,19,63,252,207,121,125,196,213,122,180,227,243,85,
-  49,156,0,27,78,69,203,92,5,115,21,204,123,103,244,177,49,87,199,92,133,240,123,217,242,100,203,3,96,124,105,124,
-  249,139,231,12,81,55,41,182,139,237,48,235,248,140,25,51,102,192,156,196,57,135,230,28,130,6,101,125,215,248,174,129,
-  22,206,128,151,2,94,2,2,76,15,194,53,211,243,241,107,200,84,185,8,34,47,165,40,5,142,211,50,159,204,7,235,
-  60,82,110,165,220,130,181,163,83,22,165,44,130,162,121,139,7,21,15,130,183,142,190,83,245,157,170,16,178,60,108,85,
-  216,42,0,99,163,177,241,49,11,176,235,193,143,106,71,33,161,193,149,179,87,206,194,107,69,6,104,3,52,8,175,155,
-  124,46,249,28,244,57,24,122,39,244,14,120,44,21,201,34,25,228,194,199,217,168,196,62,98,136,129,228,141,198,110,99,
-  55,124,58,238,118,171,219,173,192,99,117,174,28,185,114,192,216,234,159,222,255,244,62,4,69,6,247,9,238,3,32,83,
-  100,202,31,234,51,51,135,67,27,161,141,128,148,142,73,211,146,166,193,215,55,38,156,152,112,2,214,149,137,239,30,223,
-  29,98,253,108,205,109,205,161,83,222,192,209,129,163,33,252,132,117,184,117,56,24,93,84,161,68,60,127,246,252,174,196,
-  152,28,74,225,210,186,82,133,42,32,135,168,216,238,123,232,118,221,14,39,154,100,44,207,88,14,7,143,103,20,204,40,
-  8,151,206,218,159,179,63,7,105,225,28,229,40,248,95,240,243,247,243,135,34,207,20,158,90,120,42,180,45,221,46,173,
-  93,26,148,218,80,230,66,153,11,64,140,107,124,168,220,145,223,0,179,64,161,101,147,101,19,172,46,181,252,217,229,207,
-  194,23,183,198,181,24,215,2,164,151,188,36,47,1,5,1,14,148,81,19,171,129,169,231,223,9,143,255,238,175,89,135,
-  158,49,219,192,58,143,90,66,158,61,168,215,5,152,243,122,211,174,181,250,214,90,109,217,220,247,98,155,34,109,167,128,
-  118,252,161,199,195,102,192,203,142,27,142,27,128,32,83,9,65,79,173,2,181,234,111,73,50,201,96,68,171,10,242,25,
-  175,144,38,23,66,66,153,140,225,25,17,240,101,236,226,148,197,27,225,230,220,59,119,239,36,0,193,36,242,16,228,199,
-  242,59,185,2,140,183,141,149,70,60,200,120,121,70,30,0,185,92,158,146,103,193,152,163,234,246,200,72,89,70,150,1,
-  106,201,103,101,7,144,181,104,67,91,144,85,100,39,217,10,100,93,217,82,182,7,106,208,154,86,32,171,201,182,178,5,
-  200,42,234,115,89,149,103,105,5,178,134,108,33,155,3,213,100,27,217,18,100,13,58,210,17,248,92,78,150,83,64,174,
-  37,158,245,192,106,214,177,6,88,169,72,44,140,93,24,232,164,203,87,0,156,35,212,28,77,154,36,74,1,92,233,44,
-  122,3,28,152,33,122,2,196,207,225,48,192,182,120,225,3,112,35,187,28,168,60,52,241,189,220,214,199,127,148,37,212,
-  172,236,46,91,2,176,67,219,8,16,242,166,218,218,11,119,84,2,124,133,27,242,5,128,50,45,229,81,128,216,84,153,
-  14,144,227,69,230,0,4,230,227,85,0,175,16,209,29,64,155,163,189,77,125,26,130,104,35,114,137,104,208,142,107,179,
-  181,111,64,27,37,158,19,207,129,232,40,202,139,202,192,80,241,154,232,15,226,117,186,211,27,8,33,136,96,32,221,220,
-  183,116,51,71,206,21,138,123,152,51,156,4,57,81,46,148,179,1,35,171,208,170,154,135,9,220,224,22,48,134,9,76,
-  0,57,137,153,204,5,190,150,179,229,124,144,31,49,153,73,192,4,57,91,78,6,166,50,151,217,32,199,154,172,119,189,
-  228,235,114,16,200,52,25,40,131,64,230,147,213,100,37,144,159,48,133,175,129,145,76,101,26,200,188,28,231,8,24,239,
-  2,72,67,9,156,153,207,169,80,191,219,179,181,215,1,78,77,16,58,192,142,239,213,255,55,120,18,6,112,56,84,189,
-  175,244,9,122,170,122,255,155,138,252,201,2,103,5,243,224,46,128,45,129,80,128,121,199,137,227,35,198,180,142,179,180,
-  177,156,182,156,6,49,153,151,233,3,164,145,161,246,191,191,9,154,41,175,44,81,251,168,156,199,74,86,62,242,185,124,
-  228,155,150,199,164,44,227,49,113,217,248,153,4,102,197,130,6,172,151,91,228,22,96,38,115,153,11,114,18,83,248,6,
-  88,40,191,147,43,65,142,101,30,83,129,41,204,98,54,176,69,110,147,219,64,78,99,1,243,129,55,248,132,49,32,11,
-  113,146,19,32,85,232,239,91,50,27,64,230,139,116,5,184,215,65,188,8,112,182,161,22,5,176,171,3,173,0,54,206,
-  231,28,192,190,97,154,3,32,201,170,155,229,20,54,188,247,148,20,142,70,143,121,14,76,246,199,46,1,74,33,154,126,
-  221,118,202,246,130,173,159,197,215,22,110,121,207,50,10,228,113,182,177,29,208,158,90,125,171,95,147,70,92,82,152,138,
-  160,17,216,113,0,243,217,192,90,32,158,99,236,49,199,129,124,164,143,45,88,126,22,95,164,214,11,221,92,63,164,249,
-  189,11,92,226,42,200,113,242,107,57,27,216,160,82,18,152,205,66,22,128,92,32,87,201,239,128,149,172,99,35,200,9,
-  44,100,38,176,83,30,148,187,129,215,24,196,80,144,85,100,19,217,22,100,85,217,134,230,32,203,211,70,54,7,42,201,
-  134,178,49,200,20,233,47,3,193,56,37,29,50,29,100,41,122,240,60,24,45,201,36,195,121,65,69,95,36,23,17,209,
-  0,87,107,138,151,1,14,30,18,67,0,54,248,41,195,192,214,79,149,1,239,122,164,25,53,243,76,252,39,191,81,24,
-  169,103,90,54,196,42,243,147,115,0,47,196,235,51,0,38,127,216,90,180,74,109,149,42,182,246,150,125,180,62,26,80,
-  128,243,202,170,252,196,74,222,46,26,215,239,181,239,33,193,243,74,243,43,205,97,232,130,33,199,135,28,135,212,102,137,
-  35,19,71,66,159,213,161,193,161,193,144,251,190,173,132,173,4,24,21,204,9,108,253,141,3,202,97,42,32,87,40,72,
-  65,176,175,147,15,229,67,152,119,231,161,254,80,135,221,70,186,72,23,240,252,123,221,125,187,251,194,115,249,58,189,223,
-  233,125,0,25,44,85,194,236,67,21,222,144,181,78,28,208,14,64,194,231,87,138,93,41,6,175,21,27,192,0,32,124,
-  97,242,251,201,239,67,159,204,208,244,208,116,240,56,33,50,68,6,200,249,143,255,94,228,81,138,208,189,55,244,171,250,
-  85,24,219,231,214,232,91,163,33,34,62,118,112,236,96,248,168,240,152,108,99,178,129,79,109,223,60,190,202,74,242,156,
-  124,238,15,41,28,207,107,207,67,234,206,148,198,41,141,97,106,155,73,185,39,229,134,85,39,215,100,95,147,29,10,108,
-  180,198,89,227,160,243,186,160,57,65,115,32,91,73,235,21,235,21,48,234,178,134,53,128,71,86,97,48,133,124,202,3,
-  164,189,75,77,106,130,209,64,125,239,230,4,103,136,51,4,246,143,79,111,147,222,6,246,39,167,79,74,159,4,55,182,
-  233,119,245,187,224,93,220,251,172,247,89,40,180,188,224,189,130,247,160,156,103,249,25,229,103,64,169,6,165,107,148,174,
-  1,121,26,229,253,32,239,7,224,153,232,253,174,247,187,202,74,99,196,2,102,72,27,191,187,48,158,54,89,155,12,137,
-  151,18,90,39,180,134,193,187,222,92,249,230,74,184,158,45,113,78,226,28,208,62,2,200,60,167,10,217,61,91,85,89,
-  124,150,221,140,223,240,23,89,108,242,152,131,127,39,128,214,134,203,0,211,194,109,29,44,251,44,71,186,77,24,60,185,
-  215,135,189,28,80,173,126,161,153,177,86,96,213,195,51,15,117,160,137,49,195,152,6,64,118,178,255,69,206,97,7,200,
-  111,101,41,153,3,28,107,196,50,177,4,28,185,188,15,123,77,133,164,94,198,66,249,26,216,99,116,135,110,5,154,139,
-  205,226,42,24,3,229,22,185,11,140,210,198,18,99,43,200,175,228,34,185,12,140,246,242,129,220,7,198,67,227,37,163,
-  61,24,247,101,110,35,31,24,215,140,226,70,113,48,110,27,49,70,46,48,110,26,85,101,1,48,188,141,8,163,0,24,
-  86,35,198,136,6,35,77,198,26,145,96,172,50,162,140,98,96,28,52,74,25,57,64,63,111,8,195,2,70,146,81,77,
-  182,3,35,193,104,106,52,5,227,11,67,51,82,192,248,193,56,100,92,4,125,129,241,208,72,2,99,136,58,95,90,108,
-  198,235,233,47,192,205,215,238,228,185,227,11,215,18,19,203,38,6,66,194,176,27,243,110,12,129,59,83,238,183,191,95,
-  3,236,135,244,119,244,97,142,61,162,3,192,143,155,180,174,0,179,94,164,36,192,156,52,69,111,123,59,143,248,72,189,
-  180,245,3,255,36,1,218,229,179,72,2,16,247,149,161,199,251,71,21,90,37,110,170,96,42,153,141,105,0,178,132,84,
-  236,130,113,138,98,89,150,22,42,100,173,8,85,0,100,29,147,174,185,174,84,223,159,36,148,215,108,14,195,0,228,44,
-  190,0,96,130,242,44,49,71,110,1,144,179,133,154,139,19,205,92,164,153,236,2,144,223,202,32,0,38,137,177,0,114,
-  154,216,3,192,183,242,83,0,190,54,212,125,212,22,42,148,96,234,134,82,127,238,224,172,111,6,31,153,197,72,161,22,
-  128,207,44,181,17,150,189,200,14,128,166,51,140,101,0,181,206,203,47,1,10,125,41,222,161,60,21,252,239,120,237,176,
-  13,182,189,207,251,65,73,1,105,1,2,194,235,132,14,9,253,12,34,2,66,189,67,99,32,236,106,112,90,176,55,4,
-  73,255,185,1,11,192,239,148,207,42,239,61,224,181,193,163,149,103,125,176,205,177,125,101,93,8,182,214,214,133,214,47,
-  193,122,201,210,212,82,15,68,83,49,66,155,0,162,158,136,16,85,128,220,162,20,69,129,107,82,133,72,158,227,36,105,
-  64,36,55,208,128,161,76,149,67,192,56,36,99,240,2,156,164,201,116,224,33,17,8,96,45,94,36,128,60,46,211,100,
-  18,200,36,233,148,33,32,111,200,203,242,1,24,125,229,21,121,21,228,117,153,93,6,131,12,144,57,165,15,200,120,233,
-  37,11,128,209,64,46,144,11,64,207,173,191,100,12,3,61,210,152,174,15,3,125,157,254,153,49,22,156,185,116,244,32,
-  200,44,230,120,197,254,2,36,37,167,228,73,137,128,27,133,110,119,185,221,18,174,122,93,63,113,125,46,92,159,124,243,
-  195,91,189,32,249,114,218,130,212,175,185,98,52,163,19,29,31,92,215,210,1,182,173,18,211,1,38,85,82,100,18,155,
-  70,42,227,136,125,87,252,174,63,105,221,108,251,168,193,179,208,40,35,9,96,99,141,220,223,229,232,146,227,157,156,149,
-  58,119,104,85,187,245,183,224,89,222,226,180,104,192,90,217,211,120,1,240,192,235,41,211,141,255,50,60,76,26,242,236,
-  178,154,172,6,210,75,22,165,56,224,137,13,43,96,22,202,228,2,249,137,4,34,249,81,158,0,108,44,103,37,63,21,
-  230,204,105,126,239,129,41,158,122,18,134,21,100,93,57,154,33,32,143,74,139,44,4,210,41,243,203,82,32,83,40,34,
-  203,128,156,45,31,202,7,32,145,229,165,63,200,72,89,67,54,2,253,161,62,194,24,3,142,41,250,20,125,36,100,86,
-  117,12,177,15,131,20,153,250,32,237,26,220,76,187,27,112,71,194,213,217,215,123,93,111,1,215,11,223,172,118,51,39,
-  60,76,77,153,158,242,1,232,183,228,114,185,52,245,186,182,15,224,192,64,97,7,152,81,130,6,0,203,156,202,179,243,
-  112,152,49,65,221,246,198,239,254,228,245,112,63,128,165,181,242,216,205,58,238,177,204,122,197,122,171,227,169,23,106,117,
-  124,181,99,50,20,62,146,119,70,204,78,48,106,59,30,56,238,2,22,38,154,245,207,108,79,136,96,121,58,30,14,179,
-  254,25,39,56,192,1,64,112,93,94,7,233,45,235,81,27,100,53,182,200,21,192,5,48,11,67,103,112,13,40,73,20,
-  21,0,97,246,247,61,2,209,129,11,248,113,4,240,39,131,4,224,27,22,178,2,228,30,227,178,212,65,86,164,158,108,
-  14,50,93,230,145,47,131,12,147,149,136,3,89,133,207,101,15,144,95,203,40,153,12,114,144,28,195,151,32,135,203,73,
-  198,120,48,236,70,101,163,57,232,135,140,66,178,58,24,199,141,230,70,101,48,142,73,127,35,26,244,34,250,17,99,39,
-  56,94,118,46,113,46,130,135,107,82,238,38,39,194,173,74,119,94,188,219,26,174,158,191,177,49,113,58,36,180,187,177,
-  237,198,84,184,19,113,127,243,253,111,33,179,134,243,166,243,138,243,99,149,187,119,186,154,50,92,124,211,147,170,0,51,
-  23,170,103,190,81,56,203,227,189,249,9,175,51,238,165,71,39,190,71,180,44,4,48,111,145,215,14,207,17,158,35,90,
-  85,24,190,232,253,37,239,47,129,178,162,194,179,21,158,5,208,203,235,229,179,116,255,127,135,32,149,14,41,34,69,36,
-  44,72,152,215,105,94,39,152,122,103,202,196,41,19,161,226,27,94,57,188,114,64,199,207,130,6,6,13,4,219,0,241,
-  189,248,30,228,68,147,214,245,183,194,174,20,16,237,26,45,105,9,87,171,59,74,58,74,194,23,223,222,177,221,177,65,
-  232,55,49,211,98,166,193,232,239,62,110,240,113,3,8,246,15,105,19,162,220,86,137,50,241,49,193,246,184,118,28,18,
-  138,92,137,191,18,15,175,21,54,61,30,163,146,181,100,13,250,108,8,189,17,122,3,60,166,138,7,226,1,200,69,143,
-  123,60,180,193,212,160,6,36,86,119,158,114,158,130,79,142,223,62,124,251,48,20,184,92,250,88,233,99,240,254,178,145,
-  219,70,110,3,15,31,207,209,158,163,1,228,76,57,243,55,61,161,153,131,33,170,137,106,144,222,40,77,164,9,152,126,
-  125,202,214,41,91,97,69,141,149,195,86,14,131,152,153,150,146,150,146,208,185,108,208,142,160,29,16,217,205,90,207,90,
-  15,140,10,124,199,119,63,89,8,68,97,181,112,138,177,212,161,14,24,139,84,61,145,132,30,206,143,156,31,193,158,209,
-  233,95,165,127,5,7,158,79,79,77,79,133,187,69,140,104,35,26,194,207,135,93,12,187,8,149,247,84,218,94,105,59,
-  212,104,81,235,211,90,159,66,129,90,5,75,22,44,9,222,145,126,35,253,70,154,182,27,43,128,81,194,40,1,32,223,
-  148,111,254,166,241,242,107,40,70,49,144,209,42,148,237,147,209,99,218,143,105,15,235,246,175,239,191,190,63,88,78,154,
-  223,122,8,48,189,137,124,31,224,197,125,202,178,99,220,138,191,244,148,21,143,6,230,129,5,32,215,96,35,21,96,227,
-  208,92,213,178,119,200,62,172,160,255,104,251,128,198,175,157,130,136,209,150,67,150,80,224,118,218,153,180,68,32,92,198,
-  74,37,4,250,103,213,116,120,218,75,168,6,108,224,16,123,64,54,162,49,13,192,240,181,238,177,46,4,238,121,150,246,
-  140,5,75,1,143,201,30,223,2,91,180,110,90,103,192,42,54,139,133,128,131,241,140,1,178,139,178,226,101,192,147,161,
-  42,252,131,10,202,93,75,14,147,52,33,66,89,77,209,204,0,19,111,245,127,17,140,82,252,93,109,208,191,252,173,132,
-  223,0,83,17,171,44,70,3,208,86,85,177,23,35,133,18,166,123,40,161,91,92,21,231,0,68,109,209,16,176,107,239,
-  104,239,130,236,78,63,122,64,102,30,189,188,51,63,220,171,153,20,155,84,12,206,189,120,249,236,229,239,97,79,145,195,
-  151,15,207,134,253,45,143,142,61,218,8,238,173,77,122,45,169,179,209,77,244,5,216,177,88,124,5,48,100,144,211,7,
-  96,215,59,86,147,166,57,254,15,230,44,196,153,133,245,164,233,17,19,3,0,58,134,168,80,146,158,123,148,66,32,118,
-  152,161,21,85,149,80,37,7,153,68,11,115,204,191,223,166,0,128,241,170,178,12,203,89,106,174,201,119,148,197,208,200,
-  38,194,1,140,70,170,162,188,81,199,60,95,152,26,151,178,161,106,141,56,69,227,107,132,155,161,60,53,204,176,198,86,
-  106,91,148,17,196,2,24,101,204,239,117,16,159,43,197,71,125,47,241,77,185,15,224,43,147,200,247,202,110,115,12,176,
-  225,212,239,124,47,174,2,138,37,204,246,0,128,127,126,90,3,52,184,165,66,148,186,205,48,4,64,213,239,45,71,68,
-  71,209,53,96,92,232,146,192,6,129,237,33,127,159,60,111,231,153,4,69,60,243,141,202,55,23,10,196,71,135,230,110,
-  6,81,73,97,5,194,90,66,96,30,223,249,190,179,192,115,188,181,176,181,38,88,214,139,241,98,18,208,66,86,147,53,
-  0,228,34,185,1,64,250,41,131,148,242,160,3,43,85,8,164,60,163,136,33,68,121,69,96,129,197,12,168,145,89,214,
-  79,37,74,220,49,195,95,18,204,60,142,3,42,76,11,105,26,121,132,185,254,69,169,190,20,93,204,4,253,28,34,71,
-  150,72,171,4,41,245,86,99,205,252,152,22,60,7,32,202,168,240,30,202,136,38,0,188,77,23,0,26,43,171,163,24,
-  33,158,7,16,91,84,62,137,64,120,0,136,142,162,29,112,74,91,169,125,3,250,125,18,241,128,212,67,153,155,50,191,
-  130,235,182,187,101,239,196,192,177,173,103,114,158,73,129,221,133,14,70,28,60,2,167,235,92,232,127,161,18,216,191,118,
-  86,119,86,75,126,94,59,6,48,125,153,10,221,249,176,150,186,199,219,203,141,31,76,65,244,238,239,236,247,88,243,160,
-  144,217,166,0,244,136,211,223,1,152,114,179,205,131,6,111,55,184,36,14,247,106,214,46,169,125,125,128,180,1,105,239,
-  0,24,141,141,183,30,149,89,254,38,203,247,79,117,150,92,173,235,62,92,114,65,136,75,84,149,167,77,147,212,182,95,
-  241,104,27,102,63,43,66,134,80,161,72,36,154,80,25,128,55,121,9,64,248,169,117,144,134,162,144,217,255,85,0,196,
-  32,148,145,36,81,36,2,104,181,181,10,64,134,182,71,44,7,227,93,12,174,65,218,179,246,73,142,69,112,51,243,254,
-  173,251,151,224,228,169,243,69,206,39,193,158,196,195,205,15,199,194,241,55,206,6,156,185,8,41,90,122,106,250,101,71,
-  27,237,10,192,198,68,149,197,53,60,204,54,24,96,223,119,142,202,230,122,120,252,63,220,55,99,30,157,67,121,90,26,
-  6,192,38,223,220,75,163,142,70,57,98,230,124,212,99,96,210,160,193,16,122,200,171,143,231,96,128,140,145,153,43,0,
-  24,199,167,230,190,226,253,183,6,91,253,228,225,82,247,113,213,92,23,46,171,192,88,185,83,174,50,13,126,186,217,203,
-  106,61,136,86,202,167,120,94,212,52,195,178,28,143,141,15,31,243,124,86,115,95,109,201,8,243,115,47,0,209,4,181,
-  78,149,19,138,178,188,62,47,192,79,42,173,104,135,10,95,139,53,215,139,14,38,11,226,80,6,154,195,245,58,128,150,
-  87,141,35,241,137,54,26,228,101,145,46,82,192,254,137,94,65,175,7,247,19,82,75,166,164,195,185,122,87,171,95,141,
-  134,189,159,29,221,113,116,10,236,107,116,180,226,81,39,220,201,249,96,223,131,181,50,183,200,71,10,201,63,84,21,43,
-  1,134,222,214,199,2,108,245,215,14,3,176,116,67,237,199,95,150,53,75,91,84,177,242,237,140,22,0,21,146,114,45,
-  138,254,44,250,51,40,208,170,64,238,2,185,129,101,70,17,163,200,239,18,32,239,155,2,71,126,242,67,220,157,250,241,
-  245,227,97,247,236,93,21,118,85,128,3,30,39,14,158,56,8,197,186,100,188,146,241,10,148,31,235,93,195,187,6,72,
-  161,88,147,126,115,20,159,105,193,151,205,89,199,58,136,220,98,109,103,109,7,249,59,120,198,122,198,194,241,148,132,226,
-  9,197,225,234,210,43,59,174,236,128,224,174,97,95,132,125,1,160,183,209,219,60,118,38,111,188,65,190,37,223,150,111,
-  131,44,40,173,210,10,98,28,179,153,13,188,162,66,84,152,152,245,92,143,163,185,18,28,237,157,100,152,12,3,167,89,
-  141,220,123,189,247,105,239,211,96,249,220,50,195,50,3,24,42,207,73,21,87,190,131,29,191,18,84,150,169,4,53,17,
-  12,25,247,50,214,102,172,133,217,231,103,4,204,8,128,239,244,149,101,87,150,133,220,245,21,237,111,199,99,129,39,2,
-  79,64,228,75,86,111,171,55,24,165,148,194,33,74,42,250,84,49,145,186,212,5,61,77,142,147,227,32,225,37,103,55,
-  103,55,216,157,51,237,155,180,111,224,64,246,244,188,233,121,225,225,45,185,67,238,128,28,239,69,245,137,234,3,157,168,
-  217,183,102,95,168,85,180,206,123,117,222,131,92,95,229,190,153,251,38,104,21,173,210,42,1,140,195,198,97,0,125,161,
-  190,240,81,143,215,159,142,163,28,5,113,197,58,216,58,24,202,93,40,31,81,62,2,54,191,178,49,231,198,156,160,235,
-  250,53,253,26,80,1,160,218,235,74,176,203,57,80,9,191,87,110,241,148,20,143,250,197,204,117,211,12,69,80,177,218,
-  21,252,101,118,128,188,211,139,188,83,32,165,64,20,253,67,15,250,157,240,91,15,12,73,154,147,180,13,120,93,142,148,
-  163,148,212,166,172,137,127,25,148,32,84,143,18,148,5,113,145,83,92,0,203,58,125,170,115,37,240,121,122,41,163,50,
-  48,50,35,40,163,28,176,156,18,116,0,116,241,174,88,4,36,49,140,77,128,47,111,49,10,216,75,42,202,146,187,23,
-  111,160,188,185,112,154,245,96,56,131,3,255,71,92,227,146,183,179,238,36,249,103,237,163,239,33,192,60,79,41,34,168,
-  3,164,144,68,105,192,38,14,139,111,129,235,204,224,44,144,34,150,139,37,192,45,145,42,102,0,9,98,162,24,7,108,
-  214,238,105,161,224,121,219,90,218,218,10,162,190,245,30,226,211,7,162,46,150,220,90,106,37,84,186,89,106,111,233,203,
-  112,126,211,181,225,87,7,192,210,47,214,229,93,55,76,155,185,227,254,126,219,254,165,213,103,58,51,156,103,156,63,126,
-  83,209,122,27,160,247,70,149,44,189,190,110,156,143,185,225,166,253,206,183,190,222,220,14,182,2,248,197,203,101,0,47,
-  68,89,223,209,30,106,105,213,242,7,141,14,152,26,176,136,252,36,136,242,162,28,72,77,70,201,188,44,161,156,82,12,
-  101,113,89,85,86,229,19,153,91,145,83,200,103,100,51,154,241,150,172,72,35,217,136,183,24,44,135,201,97,32,47,240,
-  30,239,1,111,201,207,228,103,32,7,50,134,143,129,183,228,167,114,44,186,28,195,71,140,1,218,203,225,12,7,249,17,
-  31,203,143,128,177,124,198,72,144,173,100,7,217,26,135,108,38,155,202,38,32,175,202,229,114,25,216,171,217,199,217,63,
-  1,185,155,48,66,217,39,106,0,20,222,168,98,145,95,106,167,98,131,111,220,231,55,42,30,113,57,204,131,219,0,150,
-  74,106,83,174,126,67,46,1,120,35,206,8,2,168,253,169,247,68,15,139,135,159,151,103,236,246,152,160,152,242,180,170,
-  178,166,76,131,178,11,161,116,112,161,147,133,230,67,228,153,96,75,208,65,240,232,47,82,180,222,64,79,103,118,103,31,
-  0,231,4,231,15,192,142,140,115,25,145,192,68,99,175,113,1,200,46,207,203,112,96,169,204,38,131,1,171,28,35,191,
-  3,252,205,117,222,139,115,92,0,178,147,66,8,144,139,220,166,34,160,103,41,26,191,44,134,184,168,27,178,161,1,187,
-  100,134,204,0,238,144,66,234,35,98,138,16,161,34,20,240,35,154,60,64,4,197,104,15,104,166,194,97,51,207,20,67,
-  42,65,192,38,62,101,33,224,65,69,206,3,185,137,161,50,240,61,135,177,0,133,184,204,119,128,131,102,140,1,110,137,
-  201,162,9,224,199,91,12,3,18,197,10,177,18,56,39,218,138,9,96,217,162,53,211,26,67,64,87,91,89,91,46,8,
-  120,57,124,90,196,120,136,245,200,233,157,235,6,212,119,86,157,87,109,44,236,121,254,200,196,195,139,97,113,173,53,135,
-  214,36,251,207,184,176,39,161,116,130,127,191,14,90,30,165,59,169,122,51,253,60,180,210,0,55,22,198,205,53,231,69,
-  196,111,156,15,230,122,41,23,3,88,167,171,80,184,184,169,222,125,108,147,109,115,196,225,50,15,98,199,199,158,4,154,
-  165,120,165,60,0,94,79,222,157,252,37,240,154,81,217,136,3,108,89,6,138,127,26,236,216,1,65,2,9,128,5,141,
-  56,32,128,170,220,123,196,227,33,159,32,190,166,146,141,64,224,33,185,40,3,28,38,147,92,192,69,62,101,27,80,147,
-  41,156,2,236,20,100,46,112,23,127,252,128,68,161,139,88,64,242,46,125,128,100,113,85,68,2,105,162,181,152,9,26,
-  218,105,237,32,248,29,178,164,88,218,130,95,215,160,113,129,243,32,95,201,74,165,42,134,64,93,249,140,246,76,127,56,
-  113,253,226,204,139,55,96,249,161,13,195,226,235,217,22,31,184,126,252,238,241,35,13,209,207,235,119,245,91,133,70,56,
-  6,2,244,171,236,91,3,96,245,224,122,3,76,131,67,143,63,248,182,98,179,60,63,64,197,219,178,38,64,244,176,98,
-  91,10,30,41,152,2,193,217,60,207,123,238,0,158,121,120,228,161,63,48,208,254,174,99,42,144,77,174,147,187,30,83,
-  216,255,90,117,67,60,241,255,106,127,205,139,142,1,60,36,19,251,79,17,58,89,191,187,77,42,18,216,203,151,28,0,
-  252,76,195,132,255,207,66,241,2,205,95,212,34,152,32,224,184,240,16,30,64,38,149,168,12,148,167,8,237,129,155,36,
-  144,12,44,103,17,187,129,150,84,101,51,224,65,110,26,2,39,144,74,54,225,91,246,0,190,226,5,241,2,112,143,129,
-  12,4,78,139,237,66,130,56,32,198,138,47,193,211,207,242,185,101,28,100,159,102,61,103,171,1,217,131,10,61,140,61,
-  15,149,222,41,156,92,36,22,206,71,86,255,182,198,104,88,218,102,195,231,27,108,226,242,246,91,7,18,247,175,175,132,
-  227,148,179,129,179,254,236,45,150,46,0,125,71,89,13,128,21,193,113,74,13,191,31,127,207,229,241,112,197,216,37,0,
-  60,215,78,239,14,48,103,79,171,154,45,207,181,60,167,93,122,185,68,223,183,250,190,245,152,229,250,183,198,230,187,96,
-  242,65,90,250,89,250,193,15,113,59,178,239,200,14,163,66,70,54,27,217,12,130,61,51,139,103,22,135,158,173,67,142,
-  133,28,131,108,155,172,135,173,135,193,232,201,6,54,60,18,26,244,235,226,148,210,138,206,211,130,22,240,221,209,228,253,
-  201,251,97,205,233,148,29,41,59,96,240,240,161,111,14,125,19,106,71,199,125,16,247,1,128,190,79,223,247,152,194,122,
-  83,187,9,87,19,47,119,191,220,29,94,207,61,192,99,128,7,100,143,75,249,44,229,51,120,249,97,232,234,208,213,96,
-  187,41,142,137,99,32,215,60,206,146,165,5,209,129,14,112,238,146,61,213,158,10,227,218,223,157,124,119,50,84,203,91,
-  123,91,237,109,48,104,250,208,147,67,79,130,136,22,53,212,166,109,178,128,61,33,20,6,196,101,113,25,28,62,246,90,
-  246,90,240,205,158,217,243,103,207,135,5,45,22,52,95,208,28,114,164,139,165,98,41,116,190,26,116,55,232,46,68,47,
-  177,217,109,118,144,61,217,200,70,16,179,136,35,14,244,115,114,144,28,4,87,251,59,43,57,43,193,15,185,211,90,165,
-  181,130,3,43,210,35,211,35,33,169,151,74,158,207,181,52,167,53,167,21,234,245,168,103,173,103,133,154,159,214,186,83,
-  235,14,68,150,203,49,40,199,32,32,67,212,87,154,181,81,212,80,69,207,92,172,92,79,43,39,225,73,33,87,51,181,
-  153,144,184,48,225,72,194,17,24,120,249,181,67,175,29,130,27,173,111,89,110,89,64,235,9,224,232,163,172,78,237,139,
-  41,161,97,217,203,241,59,159,146,167,195,12,55,212,148,192,117,80,175,8,48,105,155,229,146,182,76,91,213,179,255,192,
-  82,47,110,123,49,22,106,165,21,11,47,62,24,88,246,240,253,135,235,128,230,122,55,189,11,160,253,101,33,86,191,238,
-  89,203,52,55,206,204,71,230,173,195,36,49,176,226,131,15,32,76,11,159,75,8,115,89,58,93,127,251,61,62,31,255,
-  48,53,176,107,206,251,155,22,34,15,2,9,4,210,93,30,53,115,29,210,136,38,26,200,52,91,79,170,81,29,120,32,
-  94,19,175,1,137,226,182,184,11,236,208,156,154,29,120,219,106,88,31,128,252,212,51,198,211,3,68,81,223,251,190,187,
-  32,173,168,241,174,49,9,150,87,139,127,16,191,0,230,125,187,114,243,119,13,33,115,162,125,136,189,255,229,0,113,19,
-  224,165,210,202,18,31,191,141,101,166,160,53,255,55,142,147,184,172,213,16,40,191,69,127,29,96,125,235,18,133,11,181,
-  45,52,42,248,110,223,239,123,188,254,194,247,96,75,180,106,214,72,144,183,140,134,122,31,144,229,101,125,234,129,172,36,
-  27,202,134,64,9,217,92,54,7,89,135,231,120,14,100,9,89,90,150,6,153,40,143,201,99,32,11,200,12,153,9,242,
-  129,12,145,193,32,79,203,48,25,14,242,154,44,43,203,129,12,148,87,228,117,48,94,149,247,229,3,144,13,101,160,204,
-  14,178,139,145,211,184,6,142,214,206,65,142,198,160,7,201,161,178,23,92,13,185,118,250,218,46,152,217,117,161,92,184,
-  27,210,62,204,156,156,249,37,40,15,72,134,85,173,85,77,61,149,49,106,99,218,147,92,235,245,77,35,139,116,21,248,
-  108,2,16,210,67,173,33,253,235,25,249,1,250,204,180,141,177,182,176,118,8,93,91,106,84,108,133,216,94,208,248,114,
-  141,75,53,10,65,201,47,243,125,145,127,11,248,73,155,175,181,54,16,158,57,206,62,27,88,224,248,216,49,1,8,214,
-  43,235,213,128,188,198,251,198,187,128,39,149,169,4,248,200,47,229,151,64,160,73,166,33,184,195,29,192,48,215,89,91,
-  150,161,196,69,239,173,4,25,241,31,27,80,196,19,108,163,174,243,186,246,53,151,224,36,126,241,123,122,22,235,160,154,
-  135,22,211,194,235,18,98,68,150,71,69,173,195,122,150,224,162,158,79,83,164,39,56,200,77,110,32,133,6,52,4,78,
-  139,77,98,51,112,85,179,107,118,96,144,109,130,109,20,200,40,175,84,207,179,160,123,120,220,245,56,2,23,42,36,92,
-  185,62,7,38,119,95,216,110,65,26,28,201,121,102,235,153,89,188,161,181,2,88,148,87,133,198,244,49,147,224,111,247,
-  138,95,246,27,231,67,227,71,215,141,124,103,140,77,0,155,30,196,188,147,243,72,206,244,220,229,71,209,127,244,171,190,
-  16,242,150,124,32,235,2,87,210,199,165,127,5,68,51,150,177,127,171,165,251,215,37,17,105,170,16,169,143,89,184,255,
-  152,71,69,154,227,67,102,245,167,235,252,174,125,87,25,130,29,63,187,142,107,157,182,155,44,137,153,20,166,48,112,93,
-  124,32,62,4,50,68,61,17,7,124,105,217,104,137,7,54,123,196,121,148,3,188,189,115,121,39,193,253,151,51,251,101,
-  84,135,229,150,77,213,54,93,131,101,41,27,102,111,232,5,25,187,237,57,236,81,215,242,139,135,0,189,219,40,111,243,
-  170,143,12,211,224,176,193,239,55,246,191,89,56,85,41,15,90,160,50,88,76,185,103,13,180,188,107,25,217,93,27,188,
-  187,103,143,94,91,161,122,183,34,3,138,28,6,166,62,8,125,208,22,120,65,127,168,43,195,111,24,97,252,243,33,127,
-  69,126,253,173,99,67,203,82,92,92,253,239,218,7,213,56,144,166,97,196,110,26,200,61,179,12,37,174,245,194,245,125,
-  181,206,73,115,220,184,10,197,26,230,254,158,78,78,114,2,58,109,104,3,72,177,89,108,5,118,104,95,107,95,3,159,
-  89,70,90,134,129,220,98,13,176,166,192,195,122,153,199,50,151,194,202,38,187,198,237,140,128,69,29,54,238,217,52,25,
-  50,6,218,69,102,82,194,69,241,3,64,111,167,17,9,176,178,160,102,230,10,89,101,46,243,193,38,3,84,178,121,212,
-  181,68,88,34,180,75,197,122,23,191,85,92,85,218,238,167,245,3,208,239,155,29,254,123,93,155,174,208,155,135,198,67,
-  40,223,232,153,204,103,50,161,209,243,141,26,54,106,8,139,99,22,215,92,92,19,86,23,79,62,154,124,20,158,59,18,
-  216,55,176,47,120,30,212,106,105,181,64,150,51,115,74,126,45,247,195,245,191,60,202,114,164,165,211,153,206,192,199,188,
-  197,91,32,167,155,21,180,229,19,23,172,72,34,65,126,98,188,111,188,15,198,251,134,143,225,3,162,35,207,242,44,16,
-  166,42,121,19,195,17,142,252,194,229,159,81,29,103,223,38,147,101,50,232,131,212,231,94,133,188,63,245,254,20,68,180,
-  38,52,229,138,47,42,139,254,59,5,77,44,19,203,192,185,221,89,209,89,17,22,109,91,240,253,130,239,97,161,255,34,
-  223,69,190,144,173,156,26,104,29,151,4,190,26,248,42,68,59,108,31,218,62,4,114,169,1,105,164,202,249,114,62,92,
-  206,116,220,114,220,130,221,103,210,124,210,124,224,208,130,140,103,50,158,129,228,150,170,98,117,238,155,185,222,202,245,22,
-  180,91,19,215,48,174,33,212,188,84,187,102,237,154,144,237,153,200,160,200,32,160,24,125,232,3,100,24,189,141,222,0,
-  242,166,84,66,246,73,78,254,29,10,71,214,76,94,38,151,65,248,55,225,229,194,203,65,204,187,249,43,230,175,8,137,
-  159,170,250,102,234,158,108,95,169,164,211,234,254,34,14,96,25,245,154,152,11,227,144,63,249,118,90,63,186,126,68,46,
-  148,207,0,84,219,24,177,39,244,124,104,26,253,99,95,204,147,43,111,35,0,251,251,153,167,129,74,70,27,163,27,160,
-  101,85,150,255,167,192,21,51,253,120,236,180,45,139,12,224,241,141,213,213,247,17,127,217,253,169,249,225,157,69,66,225,
-  122,127,42,215,204,51,75,145,87,158,196,108,50,72,6,2,217,164,151,244,4,74,24,158,134,39,208,70,159,165,207,6,
-  177,198,17,228,136,3,170,217,123,219,231,129,247,5,191,28,126,161,208,102,118,195,99,13,11,64,234,174,244,109,105,2,
-  22,55,94,115,100,205,177,220,73,116,165,36,197,199,71,42,111,103,187,123,68,1,28,13,169,215,193,28,87,79,80,64,
-  226,222,53,15,166,155,109,12,64,205,10,170,62,74,240,221,114,175,148,172,95,234,45,200,187,48,103,82,206,22,64,190,
-  212,87,82,198,3,195,28,13,157,37,128,52,246,202,19,192,94,206,19,2,44,100,134,240,5,252,240,195,23,240,231,44,
-  215,0,127,66,201,9,248,227,139,31,32,201,67,40,224,65,123,26,0,193,162,3,253,31,19,132,2,68,128,105,114,58,
-  10,70,13,231,21,199,69,200,184,156,145,152,185,16,140,17,222,134,247,112,184,248,201,149,215,174,196,65,250,151,153,90,
-  166,19,84,232,34,40,150,177,107,47,42,197,243,204,8,115,51,252,23,21,186,190,89,36,213,48,233,30,148,219,191,192,
-  30,57,6,96,236,18,217,4,160,201,232,156,121,179,53,200,54,64,59,212,54,182,254,155,13,14,67,141,188,165,219,148,
-  242,1,223,221,90,7,203,48,96,127,122,98,250,80,224,68,90,249,180,182,64,101,99,139,17,9,52,84,30,106,124,205,
-  117,217,194,56,62,7,160,155,10,65,82,158,210,71,214,171,32,37,44,255,139,66,224,218,95,228,63,128,51,231,39,88,
-  8,80,12,111,63,187,63,241,196,239,63,222,254,52,95,85,61,43,47,102,50,3,8,147,233,50,29,112,234,78,221,1,
-  84,54,210,13,15,96,175,163,162,163,29,232,117,52,180,4,136,220,17,176,50,32,5,186,238,108,86,168,217,215,240,217,
-  172,217,67,102,247,98,236,213,65,183,234,223,170,212,182,183,54,22,224,250,100,185,26,224,205,10,113,209,0,142,189,241,
-  191,22,46,237,50,186,133,3,84,182,202,175,0,114,117,40,126,168,208,192,66,179,57,31,124,197,187,170,119,3,96,221,
-  195,22,15,199,0,245,153,101,146,73,71,170,48,194,255,56,116,247,105,227,207,17,140,197,175,244,247,79,235,244,47,43,
-  64,86,51,55,212,71,21,0,38,88,214,52,67,12,147,228,3,224,115,163,157,209,14,56,230,108,227,108,3,198,247,153,
-  101,50,66,193,59,66,180,213,202,64,243,163,85,234,85,189,4,50,92,191,110,140,134,197,201,27,114,198,71,231,60,231,
-  156,161,95,211,175,124,57,156,142,0,15,119,168,245,108,123,213,250,175,155,14,222,95,75,50,54,247,24,101,132,141,90,
-  109,68,0,84,45,145,109,66,88,179,176,129,28,47,84,53,79,201,220,69,1,50,63,206,60,13,84,48,238,26,154,57,
-  114,148,162,238,10,205,253,103,67,252,234,252,254,115,175,227,249,132,253,90,252,202,125,89,204,239,249,113,91,121,161,25,
-  199,56,0,153,38,211,128,134,122,73,189,56,80,65,207,208,37,200,227,153,155,51,55,130,231,114,135,159,195,27,26,78,
-  44,217,179,212,26,72,75,77,75,75,175,0,203,106,125,191,116,235,43,57,242,202,133,178,149,108,241,249,3,205,27,224,
-  70,61,198,0,236,219,96,85,188,250,129,123,20,237,103,233,97,129,253,2,119,7,238,134,188,246,152,9,49,19,0,155,
-  204,47,21,55,113,65,197,28,244,135,5,198,153,114,38,88,94,181,246,183,246,135,182,51,219,39,182,79,132,115,206,179,
-  253,207,246,135,189,13,142,100,63,146,29,178,133,90,119,88,119,64,131,57,126,95,251,125,13,218,106,197,46,34,71,152,
-  149,115,159,68,255,106,22,240,147,133,84,146,250,131,131,250,87,250,87,96,249,204,26,98,13,129,0,75,96,66,96,2,
-  128,42,240,247,11,3,55,7,57,192,232,163,146,160,141,80,35,187,145,29,180,169,162,173,104,11,162,168,202,225,32,249,
-  9,22,12,83,225,177,59,85,71,41,23,50,120,159,243,26,225,53,2,184,160,206,3,210,144,143,255,222,212,76,197,8,
-  49,2,140,65,42,55,226,187,14,203,138,44,43,2,115,171,206,61,60,247,48,132,8,227,109,227,109,120,110,86,208,220,
-  160,185,16,211,209,99,140,199,24,176,23,82,22,207,75,59,29,187,28,187,96,119,189,180,109,105,219,224,240,212,140,79,
-  50,62,129,148,110,12,103,56,228,29,152,59,41,119,18,60,59,61,238,133,184,23,160,102,215,90,163,106,141,130,240,207,
-  179,103,100,207,0,218,81,149,170,64,121,227,93,197,128,98,106,206,100,13,196,127,200,66,47,87,200,21,96,253,206,115,
-  144,231,32,136,61,88,248,102,225,155,176,43,98,151,202,143,61,249,168,37,173,194,29,57,2,32,160,181,48,0,146,86,
-  63,5,193,224,145,133,180,236,72,121,9,32,95,82,225,35,249,122,230,255,26,194,95,8,104,29,112,30,24,147,244,77,
-  210,74,224,21,121,71,214,5,224,236,63,150,28,245,215,150,56,241,143,188,174,75,176,252,185,235,93,121,74,92,22,163,
-  236,242,69,249,2,208,69,207,212,51,129,138,25,165,51,234,1,231,84,37,119,75,184,223,29,191,249,208,244,213,154,77,
-  107,85,128,67,149,143,247,56,190,31,206,214,186,194,21,10,37,106,55,0,6,207,81,241,251,221,91,136,80,128,140,229,
-  79,188,171,31,205,182,42,128,79,97,249,0,160,110,138,127,55,159,64,159,252,248,148,60,85,248,120,97,43,112,55,117,
-  110,234,70,64,220,243,187,95,14,40,232,200,231,120,30,200,32,88,45,214,230,243,217,129,1,252,148,228,120,239,9,27,
-  202,61,110,96,3,78,179,0,15,160,9,189,89,10,4,155,243,216,19,95,150,1,163,104,41,27,130,243,181,244,148,140,
-  68,200,252,58,125,105,250,78,200,44,226,255,186,95,15,56,28,119,172,212,177,245,160,47,97,45,147,192,18,253,168,71,
-  107,87,5,101,169,188,182,230,231,181,103,234,155,245,73,100,83,243,182,218,1,148,206,173,198,254,196,162,162,137,104,46,
-  90,62,83,161,226,190,18,207,149,248,140,143,186,141,108,49,161,197,29,136,41,24,246,70,248,108,224,153,180,58,105,31,
-  1,171,237,117,82,123,0,101,140,135,70,26,80,138,178,148,2,172,89,177,245,151,205,132,222,255,84,208,251,103,41,28,
-  127,222,253,185,230,141,107,126,184,90,165,184,91,205,243,70,203,78,242,57,16,71,245,125,250,14,176,230,118,44,114,44,
-  2,251,218,140,187,25,91,32,103,167,144,248,144,32,168,123,182,210,161,74,78,152,221,110,69,218,138,12,38,202,11,248,
-  224,213,237,176,218,219,86,5,82,22,96,227,79,116,230,47,254,76,17,119,209,228,47,5,176,116,85,227,39,206,207,179,
-  170,117,152,245,125,237,124,153,227,133,75,22,153,8,98,149,174,152,180,246,24,135,140,225,128,32,135,82,246,255,75,44,
-  221,127,255,120,122,82,191,187,114,136,84,78,97,160,153,147,82,85,78,150,147,65,139,115,236,117,118,6,109,186,222,81,
-  79,7,75,134,145,164,39,66,220,133,50,157,202,44,133,243,195,174,52,186,156,4,123,251,156,156,124,242,141,220,239,42,
-  58,231,15,190,166,37,64,219,112,101,156,188,117,251,73,55,85,111,156,121,176,242,209,117,164,194,118,51,52,57,184,104,
-  181,2,169,5,163,33,172,167,223,64,255,138,64,246,164,153,73,183,128,78,114,176,28,10,64,210,227,164,64,110,60,165,
-  117,194,101,160,87,237,79,134,198,157,236,6,109,59,207,80,31,172,69,165,167,244,1,91,13,251,15,246,115,80,207,167,
-  212,156,82,18,142,127,120,161,193,133,142,112,170,222,21,46,19,19,164,165,1,12,185,169,100,158,46,73,154,202,62,143,
-  126,83,37,192,228,25,31,25,17,53,61,106,58,132,93,9,243,11,243,3,144,155,229,230,63,229,133,184,234,50,124,106,
-  124,10,33,221,194,170,132,85,129,23,147,122,94,238,121,25,34,11,68,205,141,154,11,235,140,148,170,41,85,97,251,134,
-  180,213,105,171,65,238,145,251,229,126,16,115,77,23,144,227,151,95,172,120,159,8,34,32,189,191,49,222,24,15,9,231,
-  28,59,28,59,32,224,96,64,64,64,0,100,207,17,185,57,114,51,128,188,45,127,121,90,196,16,3,70,85,227,25,227,
-  25,144,47,202,87,228,43,96,89,207,199,124,12,98,173,25,202,145,246,132,142,141,82,207,231,184,32,11,203,194,32,77,
-  139,142,103,54,207,98,158,42,15,96,17,139,30,179,56,154,173,104,39,218,129,188,44,151,203,229,176,190,206,154,241,107,
-  198,195,172,137,179,14,207,58,12,126,189,29,151,28,151,160,99,159,192,201,129,147,33,247,21,91,73,91,73,56,49,62,
-  115,67,230,6,152,253,198,3,255,7,254,240,213,217,187,189,239,246,134,29,43,50,58,103,116,134,136,239,242,138,188,2,
-  122,59,122,233,189,116,24,217,98,244,216,209,99,161,173,237,217,203,207,94,134,240,235,217,247,101,223,7,180,51,186,27,
-  221,1,140,55,140,55,128,159,10,45,138,191,157,51,253,223,99,48,131,33,127,185,252,50,191,4,207,35,182,214,182,214,
-  32,93,174,126,15,128,124,186,218,8,115,221,164,252,159,123,241,122,102,125,16,175,220,230,108,95,0,80,239,132,245,53,
-  177,92,172,246,252,170,76,238,162,11,138,30,0,107,87,233,33,179,1,145,250,22,125,39,224,205,97,14,61,230,42,117,
-  227,175,221,136,149,75,217,106,42,36,69,228,103,242,83,160,112,166,45,211,6,250,240,7,31,61,248,6,252,95,177,86,
-  183,134,66,197,101,37,219,148,124,1,68,97,243,44,25,0,141,215,169,113,85,241,11,51,110,246,201,200,124,116,60,22,
-  236,107,40,1,124,103,238,57,57,251,230,156,12,209,167,34,251,71,142,3,25,145,182,34,109,39,48,197,222,220,222,25,
-  168,175,31,213,15,3,205,117,161,27,64,115,221,208,29,191,161,109,102,182,221,244,12,61,13,24,161,31,211,143,2,149,
-  244,165,250,82,160,136,190,88,95,12,228,211,87,234,43,65,150,112,84,118,214,4,189,94,70,229,140,242,160,143,204,92,
-  147,25,15,183,206,223,154,112,123,32,156,207,121,57,238,114,65,208,222,120,84,177,209,31,40,143,226,134,139,138,245,198,
-  232,174,234,164,60,18,66,209,208,252,126,77,128,18,243,100,97,128,105,169,150,17,218,113,237,204,51,190,141,186,214,200,
-  95,227,101,120,109,116,231,157,93,42,65,76,249,160,228,224,166,192,157,164,28,73,117,0,175,204,239,50,55,1,13,141,
-  85,198,74,32,82,209,139,98,205,42,176,233,242,4,184,231,209,159,51,47,148,128,209,132,170,212,1,109,142,168,37,234,
-  128,109,182,51,183,179,58,240,106,90,215,244,55,160,212,212,2,113,5,63,128,176,176,96,45,196,7,140,179,0,129,187,
-  149,96,210,233,140,74,124,182,84,127,98,254,98,55,243,162,239,0,228,114,202,215,1,42,215,138,28,23,49,54,226,91,
-  40,120,44,87,104,174,114,0,153,195,51,191,0,48,230,27,243,31,153,183,110,252,217,112,205,31,245,126,175,136,143,196,
-  199,96,205,46,122,136,33,96,109,239,168,224,28,10,222,159,218,59,219,135,65,157,229,69,39,20,203,0,239,239,108,147,
-  108,211,64,246,7,168,26,172,194,239,219,182,86,228,16,16,183,229,9,131,205,236,67,109,171,50,2,43,2,135,122,13,
-  109,237,180,79,181,47,109,219,203,52,47,186,181,168,3,44,195,141,26,70,35,64,56,223,119,142,4,124,217,202,86,247,
-  124,255,199,172,23,195,197,33,113,2,172,111,89,119,90,247,130,53,74,188,197,56,8,234,108,109,98,173,13,149,138,23,
-  187,82,44,47,104,53,204,28,195,235,0,245,202,40,111,115,253,245,154,162,143,44,248,21,155,1,66,27,71,239,138,126,
-  43,250,45,240,246,247,174,236,93,25,64,190,37,223,250,83,111,220,12,145,48,142,27,199,161,160,44,108,45,108,133,151,
-  183,244,185,220,231,50,248,79,87,52,187,203,194,147,206,37,157,131,77,125,82,247,167,238,7,199,117,89,80,22,4,45,
-  158,198,52,6,34,205,1,104,214,245,208,46,170,220,142,171,53,28,165,29,165,33,225,158,115,164,115,36,196,216,99,142,
-  199,28,135,8,223,136,15,34,62,248,201,243,242,11,239,179,164,40,9,142,253,142,37,142,37,96,20,80,30,15,107,160,
-  248,65,252,0,98,51,121,200,3,50,243,9,30,143,40,117,63,142,76,51,230,250,142,169,120,216,189,60,189,20,139,201,
-  124,49,255,49,197,163,8,69,128,43,138,15,124,91,157,45,59,182,236,128,105,221,166,46,157,186,20,232,154,86,39,173,
-  14,84,95,228,123,212,247,40,220,106,166,10,54,78,202,118,207,122,207,10,19,245,123,223,223,251,30,246,157,118,12,114,
-  12,130,156,206,2,246,2,118,232,147,244,50,47,3,35,87,143,22,163,5,180,170,212,46,79,187,60,16,246,69,182,182,
-  217,218,2,53,141,234,170,72,148,241,129,161,170,39,155,133,8,255,241,138,198,207,21,251,11,242,2,68,58,162,218,70,
-  181,133,128,19,1,165,3,74,67,150,32,104,1,8,157,162,172,99,133,126,84,44,64,127,226,236,27,109,202,161,167,0,
-  194,231,202,249,0,53,90,134,245,9,110,28,242,10,20,73,142,153,145,247,123,128,204,73,153,203,0,115,60,33,255,37,
-  198,219,141,191,7,46,15,158,39,158,32,154,25,189,141,110,32,91,103,228,204,40,10,206,81,169,111,166,188,13,5,175,
-  68,47,141,94,7,62,117,61,147,61,211,64,213,249,8,248,86,133,92,53,46,139,25,179,26,247,184,123,155,6,151,204,
-  3,87,145,204,100,128,26,23,197,118,128,240,150,165,38,20,213,138,86,3,191,187,158,223,123,46,3,206,216,123,216,159,
-  7,98,141,215,13,21,174,144,31,229,105,118,185,206,255,88,235,169,214,45,52,85,0,20,40,77,105,32,69,41,94,70,
-  85,253,51,253,75,112,140,179,223,200,252,1,228,75,14,15,135,31,156,238,123,62,219,121,111,184,31,150,52,51,105,10,
-  8,87,40,135,1,112,173,150,26,187,187,239,187,198,176,230,202,151,115,37,221,175,7,200,83,81,118,2,248,242,172,150,
-  67,235,164,61,95,250,118,211,73,181,47,212,169,12,47,206,104,49,167,133,63,4,245,34,15,189,128,37,41,239,166,76,
-  3,218,57,107,56,171,3,33,166,103,74,203,10,173,113,11,158,127,141,165,212,27,111,16,154,184,46,210,193,146,31,7,
-  57,129,119,51,54,100,36,67,240,1,79,221,179,0,228,72,141,216,27,126,5,228,247,143,42,228,85,59,170,126,207,81,
-  152,159,177,29,213,237,109,30,184,152,32,111,0,84,92,36,27,3,68,79,43,54,162,192,160,2,19,33,164,177,239,123,
-  190,83,129,181,142,26,206,6,192,51,124,205,36,0,211,240,135,50,48,62,210,186,20,81,151,39,228,73,109,168,185,7,
-  252,156,85,239,215,90,87,18,251,207,219,64,51,100,239,247,182,46,133,217,215,44,47,247,215,38,71,63,25,74,46,9,
-  163,8,37,64,219,172,69,104,57,192,182,76,43,174,213,5,209,48,173,119,90,27,200,83,204,167,165,207,219,144,43,71,
-  112,197,224,102,32,223,1,208,218,169,48,241,118,133,213,154,21,80,195,204,195,249,87,152,114,145,49,18,32,114,140,98,
-  159,172,70,120,149,208,227,161,247,161,240,242,188,203,242,108,2,176,119,176,247,3,162,140,235,134,50,226,218,205,124,65,
-  247,190,249,207,88,39,124,240,1,81,87,75,214,30,130,53,209,210,223,58,25,196,203,250,155,250,66,40,120,48,199,200,
-  168,239,192,175,133,143,151,79,0,200,22,0,126,51,212,28,104,87,196,170,54,208,194,123,197,60,0,175,66,185,222,141,
-  254,40,250,35,32,167,37,167,37,39,128,110,209,45,79,165,195,205,36,117,99,164,49,18,158,177,87,218,80,105,3,244,
-  59,214,239,139,126,95,192,87,111,126,53,248,171,193,176,236,196,173,41,183,166,64,98,166,115,184,115,56,212,61,227,251,
-  142,239,59,144,125,173,45,196,22,2,150,36,70,48,2,82,108,198,3,227,1,108,29,157,234,153,234,9,246,73,90,144,
-  22,4,85,219,86,75,171,150,6,158,54,159,183,125,222,6,208,191,209,191,249,197,251,169,66,21,112,172,114,76,117,76,
-  5,99,190,17,111,196,131,45,175,24,34,134,128,72,48,67,205,210,159,224,241,72,82,19,215,113,66,198,200,24,151,43,
-  25,60,10,120,156,244,120,60,39,34,81,21,180,87,52,195,251,43,239,57,179,231,12,76,106,56,241,251,137,223,195,195,
-  205,73,227,147,198,131,207,34,21,211,190,121,98,202,225,148,195,240,112,174,116,72,7,120,159,240,222,235,189,23,138,134,
-  149,238,86,186,27,212,89,83,247,112,221,195,80,161,87,197,145,21,71,66,80,72,200,184,144,113,64,43,151,231,194,8,
-  48,212,66,55,89,229,241,100,21,170,251,47,159,192,50,85,166,66,112,245,160,126,65,253,32,180,80,88,205,176,154,112,
-  235,144,10,101,182,180,0,176,246,87,33,87,133,191,48,189,56,231,255,180,203,187,194,244,108,0,165,75,168,24,231,130,
-  233,133,138,197,164,197,68,64,54,71,224,244,160,111,128,119,82,58,166,236,0,222,150,125,229,27,128,224,62,119,221,171,
-  215,63,78,1,25,32,202,136,202,160,61,43,219,203,38,64,151,204,207,236,121,33,56,183,239,97,191,181,224,127,219,183,
-  153,239,73,72,61,173,166,143,74,174,46,183,89,81,93,250,220,86,86,184,180,90,89,187,184,73,55,169,114,33,60,119,
-  202,8,128,186,101,125,79,123,117,243,234,7,165,174,20,169,88,116,16,136,201,142,123,142,130,64,19,71,59,71,29,96,
-  57,31,242,254,99,130,246,159,53,79,101,86,197,0,79,96,146,28,40,7,129,49,218,249,208,121,7,156,181,51,215,219,
-  23,67,102,151,244,53,233,181,224,88,240,249,169,231,226,192,57,82,30,145,61,192,242,153,121,22,95,128,31,86,43,15,
-  226,229,165,38,87,61,134,171,16,156,55,128,255,0,197,203,255,225,44,190,161,16,133,170,237,174,187,172,82,167,74,227,
-  160,107,133,198,227,26,77,1,159,45,142,5,206,213,192,182,140,87,51,86,0,45,141,142,134,15,160,101,145,151,184,4,
-  52,55,254,90,168,92,170,6,52,161,25,136,178,154,143,230,15,34,221,25,231,180,129,37,81,26,178,25,4,205,245,113,
-  250,120,1,83,179,102,17,16,185,64,41,1,121,131,212,152,253,137,166,78,251,214,28,132,211,1,196,86,37,160,214,155,
-  234,241,131,165,163,165,139,245,153,210,181,10,159,46,236,3,90,75,231,46,199,125,144,239,59,135,56,62,6,138,27,121,
-  13,27,112,131,108,100,7,147,11,72,37,199,90,0,141,96,2,129,88,83,177,120,96,154,245,114,170,59,16,229,209,16,
-  192,109,252,9,0,116,114,138,92,64,176,176,97,1,2,49,208,129,123,102,0,244,125,225,139,15,80,129,156,228,0,174,
-  154,52,224,23,205,253,59,134,2,228,7,202,83,133,170,64,166,57,63,125,240,198,11,8,54,21,137,20,243,62,99,205,
-  121,23,108,182,105,166,225,53,157,188,228,1,242,139,86,162,57,240,12,141,104,4,132,227,79,16,63,145,8,252,68,215,
-  251,87,65,229,132,244,21,171,197,106,208,44,150,2,150,2,160,141,164,16,201,224,93,65,190,38,71,64,116,182,224,201,
-  193,59,225,244,48,51,183,242,83,128,226,190,202,240,80,176,175,122,251,251,191,255,151,179,95,206,178,155,3,101,167,203,
-  135,0,249,63,40,124,49,223,192,252,243,152,21,62,36,160,71,64,127,224,203,164,6,201,207,2,61,100,160,124,92,81,
-  115,227,159,1,69,122,209,73,124,35,190,1,237,188,182,94,91,15,226,7,227,178,97,64,224,74,239,231,188,247,66,192,
-  104,95,155,239,46,72,42,173,236,219,98,23,64,229,175,173,114,17,64,193,68,91,43,139,213,98,101,109,246,175,34,239,
-  69,170,184,225,182,180,53,109,19,55,158,162,203,6,246,177,15,104,38,155,201,102,80,121,99,117,239,234,222,224,127,50,
-  96,108,192,88,152,218,119,114,251,201,237,97,103,241,31,15,253,120,8,126,28,155,161,101,104,80,204,203,235,188,215,121,
-  8,93,103,109,101,109,5,103,95,204,252,34,243,11,56,254,192,30,110,15,135,114,205,203,206,40,59,3,170,213,174,126,
-  188,250,113,224,11,99,142,49,231,223,222,79,71,58,66,198,252,244,220,233,185,193,249,172,211,226,180,128,215,151,30,239,
-  121,188,7,162,191,152,44,38,131,76,122,130,199,227,136,234,8,103,140,170,143,33,204,146,242,182,201,182,72,91,36,16,
-  238,226,247,22,211,197,116,72,127,59,53,54,53,22,230,94,154,183,106,222,42,72,20,119,199,223,29,15,182,209,228,34,
-  23,200,238,94,13,188,26,64,196,149,92,105,185,210,160,254,230,82,251,75,237,135,103,44,21,195,43,134,67,129,78,133,
-  38,23,154,12,222,139,253,50,252,50,30,245,96,24,103,149,251,155,37,44,249,255,108,41,144,175,203,215,193,251,144,247,
-  25,239,51,16,254,101,248,236,240,217,240,99,220,233,26,167,107,64,150,117,84,7,40,240,130,178,122,137,225,113,117,1,
-  164,61,126,227,31,187,106,125,83,24,50,78,155,131,88,0,212,213,45,203,216,200,247,222,215,202,76,44,58,184,72,44,
-  216,230,48,138,227,192,120,231,91,206,134,128,141,181,172,118,11,84,255,64,168,28,171,178,84,167,54,136,23,152,197,114,
-  16,171,100,85,227,58,88,191,181,92,208,114,130,71,61,91,13,219,89,96,182,249,43,15,128,168,169,138,190,57,240,160,
-  18,51,210,48,185,250,205,36,114,151,64,150,63,193,104,9,80,174,91,174,50,57,86,230,184,192,153,60,219,115,238,200,
-  177,8,200,147,177,47,99,19,176,88,223,169,107,128,37,139,174,219,101,233,255,179,225,133,23,200,74,42,132,214,57,213,
-  17,235,8,7,61,212,217,209,209,3,238,158,79,254,46,217,1,231,23,222,156,125,51,9,196,44,243,87,159,2,200,151,
-  149,209,98,67,118,214,1,56,135,187,230,153,84,177,219,147,196,96,128,158,243,13,101,1,109,80,202,26,219,61,118,52,
-  116,123,185,217,151,205,110,128,239,24,227,172,172,6,108,202,248,58,163,14,80,199,104,102,40,226,7,87,136,167,231,223,
-  82,24,206,141,199,97,51,61,129,93,232,76,23,16,161,122,19,253,58,200,57,25,241,25,171,192,246,161,49,206,56,193,
-  79,116,2,2,192,43,67,141,135,136,165,230,158,147,43,235,124,102,253,27,101,224,204,49,220,8,5,168,210,44,66,134,
-  14,8,29,9,49,34,135,150,115,0,164,231,74,234,144,28,1,50,46,229,131,148,213,32,202,26,25,134,7,200,235,4,
-  35,64,148,32,10,13,240,37,63,121,128,100,234,209,11,232,39,154,139,86,64,34,49,72,32,55,33,20,1,142,81,135,
-  231,0,73,118,28,64,18,58,203,64,148,230,28,121,129,40,60,8,2,94,18,5,68,49,224,18,133,9,2,122,83,140,
-  242,192,61,106,83,21,200,65,28,207,128,136,22,141,68,7,32,130,124,100,7,242,145,159,8,160,168,232,41,94,1,234,
-  208,136,58,192,37,188,209,65,180,33,23,37,128,26,148,161,28,240,35,77,169,1,34,209,242,131,229,24,136,36,219,247,
-  182,239,192,210,192,106,181,222,4,209,158,121,28,6,90,27,109,140,14,64,20,51,153,249,151,206,11,37,223,132,43,22,
-  52,205,95,251,84,251,28,180,161,150,146,150,187,96,169,33,94,19,67,33,232,184,247,167,62,147,65,180,99,130,233,207,
-  1,130,214,168,254,143,237,170,60,32,251,179,78,234,162,91,118,154,245,174,44,254,0,245,162,172,135,196,50,177,202,115,
-  86,217,103,139,218,139,126,6,214,83,50,148,188,192,12,231,112,231,73,192,155,15,85,49,215,255,154,220,158,255,21,168,
-  113,226,167,228,85,177,95,100,10,59,136,107,242,25,89,24,172,25,114,35,91,193,227,19,91,91,219,77,192,197,98,103,
-  1,136,124,207,202,96,128,220,175,121,58,60,11,123,22,134,208,89,161,215,67,175,3,229,233,101,86,197,29,97,22,46,
-  121,186,22,71,216,206,118,160,130,113,194,56,1,197,43,148,242,43,229,7,239,52,125,183,240,187,133,97,141,207,202,125,
-  43,247,193,166,18,155,67,55,135,194,142,51,137,195,19,135,131,49,45,125,91,250,54,240,156,230,177,192,99,1,84,184,
-  90,62,161,124,2,188,228,236,221,181,119,87,8,120,62,168,100,80,73,0,195,110,216,255,237,4,46,78,113,120,184,50,
-  233,205,164,55,65,239,224,108,231,108,7,190,175,123,237,246,218,13,162,20,229,40,7,50,61,43,57,253,113,156,85,2,
-  190,110,53,89,86,122,240,50,47,131,245,115,235,116,235,116,96,28,237,80,9,119,107,89,11,182,49,182,122,182,122,80,
-  250,97,169,21,165,86,64,64,136,223,135,126,31,66,193,171,133,86,21,90,5,69,19,138,213,47,86,31,242,134,196,136,
-  24,1,1,37,3,15,4,30,0,230,107,27,181,141,0,134,159,225,7,160,247,208,21,135,182,226,13,255,87,197,238,255,
-  43,78,112,2,180,52,107,164,53,18,194,139,133,39,135,39,63,178,213,185,148,67,59,64,174,1,42,137,209,235,136,250,
-  60,125,254,31,189,168,108,247,200,62,75,200,16,163,47,64,173,142,97,159,5,109,8,58,197,177,162,31,228,107,145,127,
-  6,128,253,132,189,9,208,218,8,54,98,30,17,112,255,185,201,217,127,212,130,254,255,67,241,200,67,44,177,32,142,136,
-  57,98,58,8,33,109,52,0,246,24,95,200,201,32,251,203,16,185,8,240,100,9,83,49,201,4,188,103,42,203,173,215,
-  203,230,185,182,185,10,5,210,57,203,46,4,84,139,22,13,0,178,231,40,249,121,225,115,69,242,65,192,66,175,120,239,
-  209,32,143,164,182,189,187,24,132,85,94,146,14,64,208,156,102,79,113,157,213,21,89,132,236,106,108,52,54,131,179,174,
-  125,156,189,7,200,134,122,119,163,55,156,223,114,39,233,206,101,184,247,67,234,133,212,130,160,229,204,90,29,129,235,253,
-  212,243,236,28,129,237,241,121,166,138,58,86,234,102,244,0,120,109,102,132,45,164,89,200,139,214,111,159,175,216,162,102,
-  203,49,16,214,203,115,134,231,118,96,117,74,66,106,26,16,103,116,51,105,185,93,134,145,191,137,37,239,137,251,145,246,
-  148,11,212,185,214,3,153,101,195,255,39,205,39,215,189,156,98,30,243,64,142,49,236,70,32,24,225,233,163,211,167,128,
-  51,79,230,103,153,11,249,41,233,84,3,208,94,81,70,21,239,254,89,181,121,126,242,163,40,248,3,148,239,175,66,172,
-  242,86,44,68,190,183,243,125,2,126,3,125,251,250,238,134,212,117,183,178,221,42,1,198,142,36,159,135,63,130,220,102,
-  111,239,104,7,92,96,157,156,12,194,139,124,34,47,224,65,16,94,64,54,142,179,7,112,16,207,116,160,142,232,69,48,
-  80,17,187,104,9,24,124,206,23,32,170,17,203,93,32,148,74,36,3,69,49,168,4,84,195,66,49,160,37,91,153,4,
-  162,146,120,129,102,128,147,104,209,9,200,70,9,12,160,169,168,75,26,176,151,98,226,50,144,143,178,92,7,241,34,113,
-  20,2,194,196,123,194,7,8,165,28,118,16,47,242,10,37,128,73,34,31,195,1,43,147,69,20,136,165,90,144,214,5,
-  44,13,252,102,248,142,1,143,239,253,124,125,61,65,44,244,221,226,155,10,90,95,231,58,61,20,196,153,12,175,12,47,
-  96,144,179,147,179,19,144,131,111,248,134,159,104,114,255,170,117,113,32,131,25,2,98,171,88,33,6,0,95,137,121,98,
-  46,88,151,89,70,107,67,128,130,192,26,204,208,57,177,68,25,15,178,71,255,203,61,170,34,122,88,87,0,132,95,48,
-  234,3,212,120,35,108,85,72,175,144,97,76,44,226,21,179,55,166,34,64,230,200,204,55,128,146,70,162,113,227,177,249,
-  231,14,177,250,103,65,245,135,107,31,216,207,106,86,129,172,109,244,53,74,131,12,52,222,213,187,1,93,101,170,172,68,
-  22,139,153,90,243,44,129,86,217,21,32,251,215,94,179,189,154,123,53,231,85,255,16,255,210,254,165,1,228,105,121,250,
-  111,17,140,76,90,76,195,97,56,32,116,101,184,71,184,7,116,218,251,124,235,231,91,67,253,50,13,43,52,172,0,167,
-  107,157,42,114,170,8,36,95,73,9,72,9,128,200,237,145,167,35,79,67,193,247,11,205,44,52,19,124,191,246,247,247,
-  247,7,48,226,12,197,161,255,164,164,36,215,117,191,225,27,184,171,223,25,114,103,8,200,181,42,198,58,104,167,118,74,
-  59,5,162,150,153,28,62,250,9,235,244,69,83,241,184,198,187,188,11,162,180,138,61,181,28,180,250,89,253,0,68,148,
-  136,2,144,235,228,58,176,102,120,116,241,232,2,29,211,186,180,235,210,14,228,97,35,204,8,3,75,65,219,66,219,66,
-  32,76,140,18,163,0,140,94,70,47,96,190,204,45,115,3,232,249,244,124,238,137,72,86,110,138,54,65,155,0,193,251,
-  67,6,132,12,0,209,197,252,239,253,71,21,143,136,207,149,139,215,215,172,204,252,199,21,15,229,87,118,157,183,68,81,
-  57,26,32,182,118,129,118,121,191,206,187,27,162,42,133,236,9,158,8,140,77,249,40,117,63,80,83,106,82,245,211,95,
-  229,42,126,156,181,198,165,104,27,166,11,93,102,213,43,248,109,243,81,252,172,149,89,244,124,234,121,68,214,245,92,158,
-  192,159,11,80,174,235,185,4,76,87,251,71,249,237,159,206,186,227,52,235,33,156,98,41,43,64,222,55,186,203,101,224,
-  56,150,89,43,179,50,216,35,28,223,57,46,241,19,107,148,42,8,152,147,116,0,114,100,157,237,229,44,191,2,96,187,
-  37,91,3,196,21,244,78,244,88,231,177,147,251,165,58,22,107,87,172,42,136,87,156,189,156,175,2,29,28,65,142,2,
-  192,108,249,162,84,225,89,46,254,255,63,27,106,28,124,199,71,124,4,250,187,206,177,206,143,193,209,210,190,223,190,4,
-  28,23,245,143,157,31,192,241,177,137,226,250,13,112,156,148,179,101,21,176,140,122,212,195,179,47,59,121,0,46,212,229,
-  4,0,11,212,60,243,247,83,30,143,193,117,172,111,107,19,181,105,145,187,91,45,139,123,51,238,20,20,233,149,227,88,
-  212,122,32,36,105,90,242,54,160,137,126,83,159,2,216,178,104,110,255,106,90,105,151,66,225,98,247,121,252,250,118,30,
-  242,16,176,155,108,89,14,179,63,210,205,113,162,63,106,185,227,39,182,52,215,231,1,89,180,148,106,124,235,89,243,70,
-  133,224,36,155,253,224,167,88,20,177,154,215,215,176,152,251,147,107,126,232,191,113,158,62,157,247,115,132,115,156,3,25,
-  101,76,51,166,130,156,171,23,210,47,131,145,160,47,212,23,67,154,51,227,70,230,121,32,196,204,80,208,1,164,175,18,
-  64,157,139,92,181,38,226,204,252,5,227,129,50,98,106,55,1,226,118,107,14,0,143,150,87,34,19,214,37,76,130,137,
-  27,231,77,152,123,23,228,11,25,254,153,21,64,206,200,252,46,179,21,240,145,190,71,223,11,98,38,85,169,12,194,16,
-  243,216,14,72,82,208,128,102,20,166,16,8,135,120,67,172,7,252,41,132,7,112,19,201,26,208,90,48,75,124,11,140,
-  18,181,168,15,44,103,27,91,64,156,229,51,49,13,196,116,49,140,174,32,134,224,33,250,129,16,226,52,26,48,130,65,
-  226,34,136,36,177,140,250,32,190,101,131,248,16,196,102,49,132,227,32,174,80,70,12,7,241,163,120,145,56,96,18,91,
-  69,27,16,183,197,32,6,129,248,70,4,139,137,160,157,18,126,226,75,208,142,113,77,188,10,218,179,214,38,150,202,96,
-  203,244,189,239,251,1,248,93,8,221,27,182,14,242,79,40,216,168,192,59,80,164,112,222,244,152,51,224,57,69,27,174,
-  173,1,98,83,151,167,30,4,122,233,175,234,253,249,137,246,244,233,239,255,106,93,95,206,12,166,131,236,40,43,200,130,
-  192,43,178,187,236,5,206,225,186,135,49,18,56,101,214,81,15,122,244,167,30,75,76,79,104,133,172,143,174,103,173,66,
-  64,153,33,138,4,166,96,90,161,70,49,37,98,58,67,54,75,208,250,160,131,192,208,228,23,146,235,0,111,200,3,242,
-  168,169,170,250,255,37,227,222,37,31,186,20,187,159,215,215,249,53,195,192,111,53,28,252,220,208,224,106,93,134,8,215,
-  126,169,103,145,16,233,255,72,67,159,90,39,236,170,60,131,44,43,191,150,95,130,188,168,15,211,39,129,243,160,227,162,
-  253,71,176,63,180,79,179,127,5,180,162,25,213,128,185,174,151,253,42,64,80,91,175,69,222,171,188,87,129,151,238,189,
-  205,123,27,128,220,42,183,2,176,133,45,127,203,131,185,88,176,230,25,243,64,84,80,133,214,34,210,35,187,68,118,129,
-  8,162,188,163,84,12,164,218,32,158,83,133,240,120,78,41,44,96,244,52,122,254,91,133,227,103,3,206,232,98,116,129,
-  187,237,238,230,186,155,11,180,40,115,31,89,100,25,109,25,13,188,77,94,23,115,203,19,206,34,145,32,77,193,206,248,
-  92,241,166,39,31,78,170,152,84,17,40,44,63,148,31,2,89,201,112,242,91,249,45,104,62,34,191,200,15,84,182,132,
-  89,194,0,140,3,134,98,134,104,237,170,17,97,226,161,73,35,231,214,252,31,199,16,134,64,128,12,44,29,88,26,196,
-  43,230,167,239,60,186,208,5,126,77,49,0,255,252,234,221,221,193,20,122,126,51,226,92,110,222,34,102,59,3,160,142,
-  180,36,81,128,194,126,117,203,120,22,153,83,244,52,120,92,17,55,181,119,128,213,122,67,125,6,16,76,39,197,117,254,
-  47,252,218,79,103,163,56,135,226,21,174,37,207,202,115,32,75,27,135,140,67,32,223,162,47,253,0,29,43,54,115,57,
-  247,123,76,145,80,227,234,62,247,184,15,164,114,149,107,64,14,238,113,23,8,195,65,38,112,154,80,194,65,212,49,159,
-  171,26,181,169,13,212,21,101,69,89,160,2,239,243,62,136,30,226,125,241,30,208,134,177,140,1,90,137,97,98,24,80,
-  134,246,180,7,124,179,146,61,237,127,184,200,224,159,185,225,28,102,59,59,192,184,172,111,208,227,65,174,203,76,203,92,
-  1,169,209,247,181,251,103,33,99,107,102,223,204,94,32,118,103,169,189,64,102,115,21,114,100,31,144,181,41,60,150,235,
-  144,247,136,209,5,160,124,235,156,165,35,131,34,75,66,190,139,185,26,229,234,9,114,78,70,88,70,62,16,141,156,147,
-  157,111,3,54,6,162,106,255,228,122,36,64,229,207,132,10,177,202,110,236,49,246,130,222,206,177,218,49,27,244,231,28,
-  249,28,97,112,127,81,90,249,244,10,112,238,200,237,49,183,115,131,248,32,75,45,3,88,166,230,209,198,105,74,176,180,
-  175,230,146,249,255,138,0,45,198,25,15,1,234,87,40,91,188,200,107,69,166,65,220,137,242,45,43,236,1,166,167,229,
-  78,23,192,61,189,165,62,5,240,225,69,94,248,75,5,10,215,122,169,4,124,187,169,72,252,200,76,102,1,237,165,191,
-  244,7,153,205,88,108,44,1,169,203,225,114,56,200,198,114,167,220,9,178,183,108,44,27,1,231,112,226,0,150,153,117,
-  98,154,170,2,173,84,52,99,245,79,103,133,168,248,224,11,162,59,69,40,12,28,49,235,173,220,35,141,76,160,163,232,
-  44,186,128,152,47,130,69,16,8,15,177,80,44,2,17,161,77,213,62,3,190,22,199,196,143,64,44,21,168,246,183,40,
-  232,74,224,218,44,39,203,41,96,180,50,42,27,197,193,72,215,71,232,177,224,104,164,87,209,59,66,82,137,140,225,233,
-  245,129,68,96,15,168,40,0,103,73,53,78,146,215,154,181,118,192,204,117,212,44,0,214,75,124,9,16,156,71,152,33,
-  139,231,250,94,145,87,210,225,108,159,43,121,175,248,128,73,128,0,115,128,227,128,139,190,249,125,48,235,144,240,24,67,
-  161,139,226,221,21,90,235,162,40,119,25,77,71,240,85,150,98,244,57,208,52,107,95,232,156,101,32,232,12,120,208,207,
-  92,13,160,3,112,153,90,89,255,207,7,116,48,105,36,186,160,106,242,120,155,85,69,108,192,183,128,39,243,1,68,40,
-  48,235,17,75,176,191,25,64,232,74,73,119,141,121,23,205,244,5,101,142,242,189,224,101,247,106,9,45,15,54,168,220,
-  96,6,60,219,180,110,225,122,9,96,59,100,245,177,122,2,151,245,138,122,69,32,198,172,199,241,244,146,210,213,124,73,
-  86,242,139,140,48,118,25,59,193,232,169,251,234,251,192,40,33,191,148,115,32,237,117,123,89,251,117,144,51,204,95,13,
-  53,91,63,0,71,81,23,201,68,61,151,137,175,190,217,230,5,168,27,105,57,200,126,14,122,127,86,230,112,145,146,69,
-  87,128,109,33,43,40,0,76,211,27,232,205,128,16,202,155,42,205,211,77,190,119,21,248,59,111,134,252,207,146,189,229,
-  203,192,78,6,51,8,72,227,38,183,128,116,130,9,121,76,252,87,243,82,203,202,241,81,185,65,174,130,215,193,24,56,
-  129,187,230,247,109,89,100,8,37,41,1,148,167,30,245,128,124,102,14,145,15,133,137,5,10,139,26,162,50,16,65,52,
-  81,64,54,162,136,1,108,230,245,127,50,148,252,221,30,98,37,159,47,149,31,201,143,193,168,167,71,235,190,96,196,232,
-  43,245,165,144,190,34,53,50,245,115,72,175,155,249,93,230,123,32,92,100,3,57,1,100,154,85,78,1,240,43,227,89,
-  208,179,174,103,93,110,122,20,176,229,177,229,1,46,154,174,61,179,190,197,223,174,89,97,214,241,192,24,107,168,135,112,
-  37,73,31,228,160,57,180,235,255,161,243,151,160,4,24,22,231,57,231,57,184,29,112,107,198,173,25,96,91,165,42,55,
-  6,20,213,186,105,221,64,190,207,98,22,255,155,179,108,84,22,248,156,15,173,83,173,83,193,231,11,254,143,189,243,14,
-  172,162,234,214,254,111,207,57,233,149,64,66,239,45,244,222,123,21,144,162,160,210,68,170,168,168,216,80,68,69,197,130,
-  13,1,11,22,80,68,64,64,16,17,68,122,239,189,247,26,106,72,66,122,57,109,102,239,239,143,61,39,111,224,125,189,
-  175,247,94,242,222,242,221,253,207,228,36,153,115,230,204,236,189,246,90,207,122,214,179,166,50,21,86,166,253,222,250,247,
-  214,80,251,187,58,83,234,76,129,248,141,181,155,213,110,6,96,173,180,116,250,241,18,151,238,56,254,223,248,247,141,104,
-  162,33,244,108,104,64,104,0,24,169,98,172,24,11,42,89,125,174,62,247,111,92,33,27,53,82,27,254,183,214,141,255,
-  206,192,131,22,5,207,139,26,174,149,54,58,126,85,164,82,216,239,97,155,120,180,230,244,50,213,203,188,3,224,110,238,
-  158,13,212,81,153,42,23,8,16,141,68,83,0,213,79,61,8,192,76,190,5,240,215,252,252,167,3,73,109,128,146,116,
-  0,174,158,176,222,179,222,3,223,55,222,199,188,253,193,215,197,115,218,179,26,212,211,242,121,217,23,232,40,30,164,43,
-  16,79,89,81,173,0,210,239,68,96,0,55,72,86,231,129,24,46,176,27,56,168,54,113,4,216,196,17,110,1,93,25,
-  78,7,224,168,120,67,76,3,241,9,3,169,7,226,39,113,68,252,10,98,165,241,142,241,33,136,94,70,186,56,3,198,
-  90,35,195,241,13,24,65,142,83,142,83,224,24,228,92,231,92,7,98,170,227,33,199,67,192,67,58,80,65,228,35,62,
-  255,234,161,13,249,44,53,74,141,2,57,208,42,103,198,129,213,195,245,128,235,85,72,111,155,252,106,114,87,112,223,239,
-  121,219,243,18,48,153,9,140,247,59,14,89,143,105,208,34,119,184,189,189,84,185,147,226,215,42,94,247,241,40,53,189,
-  206,168,26,203,107,228,64,84,120,104,227,208,226,192,145,212,50,169,77,129,142,234,65,245,16,32,104,162,37,122,11,201,
-  126,42,93,67,161,62,150,155,228,102,240,173,244,226,189,9,234,55,43,192,138,135,75,117,83,111,220,158,11,183,183,228,
-  184,115,134,129,225,47,142,111,6,144,84,65,127,191,109,15,219,104,224,31,154,179,27,247,184,238,75,242,244,138,136,209,
-  33,207,132,188,22,52,162,239,128,78,85,59,79,131,136,6,198,40,227,8,112,216,59,214,251,5,80,95,13,209,10,87,
-  255,178,128,67,111,140,121,118,17,228,199,170,157,106,7,106,182,188,33,19,193,154,105,62,99,62,3,86,89,179,157,217,
-  0,204,57,190,53,190,233,32,91,152,195,204,166,32,47,202,100,185,10,212,39,242,5,89,31,248,141,68,66,65,109,229,
-  65,42,128,24,67,99,70,3,251,69,71,81,10,112,50,156,32,224,2,6,253,128,103,112,80,21,40,79,44,71,128,8,
-  246,179,18,196,235,98,176,104,2,226,162,115,181,115,57,56,135,6,53,8,44,10,206,176,128,244,192,215,193,185,197,249,
-  149,243,43,48,142,27,159,25,179,129,135,25,204,208,127,41,224,20,72,32,168,135,149,83,5,128,172,103,246,53,187,129,
-  92,110,165,88,169,224,122,200,247,139,239,75,72,127,38,175,115,222,207,32,78,229,187,97,128,167,147,22,6,184,61,59,
-  31,236,123,216,62,246,0,48,231,104,52,247,253,233,58,48,169,48,75,55,32,108,250,149,254,110,42,64,119,178,39,211,
-  94,71,45,237,99,51,251,93,44,251,30,84,176,75,199,123,223,149,127,10,181,125,133,135,236,215,127,235,212,101,217,62,
-  130,94,167,53,242,179,177,250,214,214,181,207,243,139,67,212,179,95,119,204,47,85,215,199,202,249,207,224,207,142,29,10,
-  222,143,127,240,119,255,216,118,231,21,228,244,119,7,186,157,176,114,218,166,39,55,77,130,86,167,234,126,91,247,53,168,
-  124,40,114,86,84,14,112,208,59,204,59,28,64,61,161,70,23,170,67,174,223,119,139,166,216,201,238,178,184,140,1,57,
-  223,218,97,142,5,235,17,121,191,252,9,50,238,115,221,200,59,13,108,129,59,128,18,3,32,235,163,252,59,235,15,76,
-  102,1,196,92,150,191,3,180,119,21,219,28,157,30,237,128,218,159,85,153,87,101,53,240,160,119,173,55,16,8,179,22,
-  91,171,109,232,80,171,169,22,189,215,138,148,119,124,207,29,124,205,215,32,107,89,33,86,40,88,137,190,137,190,241,96,
-  125,109,190,110,62,13,76,97,58,159,0,7,232,74,60,186,161,163,5,72,202,82,14,8,181,107,79,122,144,131,4,154,
-  226,35,2,8,37,143,64,160,17,141,169,14,162,182,232,40,186,2,93,121,158,39,128,183,196,34,241,61,136,119,121,159,
-  15,64,44,50,86,27,191,131,200,114,12,113,12,0,177,196,49,208,209,1,140,5,142,38,142,206,32,218,208,156,30,64,
-  125,213,94,117,4,130,73,33,25,16,255,101,170,104,1,4,128,106,174,114,85,30,200,167,172,41,214,135,160,42,88,167,
-  204,239,32,179,69,86,72,214,65,112,125,228,73,244,108,5,150,229,3,1,64,206,125,78,77,25,8,138,15,216,29,48,
-  55,96,46,56,134,58,147,157,154,78,242,4,58,99,224,175,77,248,95,58,196,251,226,125,112,205,115,159,114,159,130,100,
-  111,138,35,197,1,97,39,53,178,21,185,205,209,213,209,21,120,155,14,116,0,155,98,240,247,129,243,99,90,22,183,86,
-  245,160,49,65,99,224,190,168,136,99,17,199,96,69,205,155,153,55,51,225,235,23,191,90,245,213,42,152,176,244,245,101,
-  175,47,131,18,253,74,221,44,165,41,101,113,186,107,231,159,118,84,255,191,241,111,143,83,156,130,192,243,129,34,80,128,
-  113,204,56,103,156,3,235,166,237,199,150,6,8,234,162,235,95,66,202,216,104,193,249,255,128,153,42,176,129,213,158,163,
-  22,3,212,202,46,191,44,230,249,152,17,16,121,233,250,154,107,187,33,35,230,204,137,51,65,16,176,50,100,113,136,27,
-  2,231,22,251,162,104,47,112,94,139,188,18,53,17,196,202,160,53,65,123,128,134,98,133,88,5,192,36,189,24,85,63,
-  45,57,199,78,118,218,91,210,95,163,90,104,245,163,87,85,19,213,20,76,167,183,172,183,36,228,29,207,156,151,57,6,
-  60,39,243,6,230,182,0,110,171,129,76,6,145,109,12,50,166,130,104,195,139,124,10,180,176,17,217,108,81,130,210,64,
-  24,225,156,7,226,169,64,16,112,67,53,162,44,176,147,0,12,224,188,40,133,5,56,212,117,158,1,30,16,85,40,2,
-  98,5,11,197,38,96,182,104,41,138,130,152,45,102,137,221,32,38,7,56,156,241,224,8,15,124,60,104,35,4,14,8,
-  238,29,220,26,2,195,130,54,4,253,1,142,121,206,62,206,251,129,199,120,141,201,0,248,254,197,25,16,39,78,80,101,
-  212,82,245,43,88,183,125,35,204,109,32,187,120,60,158,178,112,43,56,117,127,234,110,240,222,111,77,176,150,128,232,150,
-  127,22,144,244,185,118,48,242,122,230,203,56,43,0,103,29,53,10,160,235,91,193,165,2,226,3,26,26,223,55,136,175,
-  189,186,182,2,99,144,101,90,107,128,30,190,74,190,246,192,175,234,62,165,169,160,110,155,182,85,56,27,236,70,173,106,
-  39,215,89,62,203,3,102,75,111,91,111,32,152,85,172,48,43,16,78,254,145,24,158,152,3,222,47,100,154,76,1,199,
-  43,5,51,59,135,31,211,157,165,207,111,21,195,236,223,167,1,244,221,40,223,4,104,252,113,179,164,122,189,234,61,11,
-  245,159,174,216,165,98,27,160,99,222,174,188,76,160,145,188,79,118,1,68,62,181,170,176,135,166,74,156,209,153,122,53,
-  75,230,74,23,88,75,125,191,249,150,129,247,19,247,115,238,158,224,53,220,253,220,125,193,92,235,173,225,241,128,26,109,
-  125,107,93,7,249,174,204,147,37,65,254,32,123,170,223,65,6,170,39,213,139,32,79,168,241,106,34,48,128,83,156,6,
-  246,50,143,110,192,73,90,83,11,232,132,65,36,80,129,116,36,136,222,28,99,59,240,42,113,180,1,241,188,24,192,251,
-  32,250,138,239,140,5,224,16,193,50,184,19,56,127,15,184,236,220,0,129,99,140,171,198,113,144,79,18,136,130,192,40,
-  181,95,173,3,35,73,76,18,95,0,197,41,98,23,215,22,22,229,194,31,216,120,241,130,58,160,30,84,15,130,57,223,
-  247,161,111,40,40,135,28,105,141,130,212,137,121,197,114,119,66,230,70,87,31,151,27,68,118,65,135,51,35,82,163,186,
-  201,195,253,142,247,58,123,78,119,205,177,255,47,18,224,248,243,122,46,12,234,77,43,237,231,235,226,100,227,154,254,110,
-  234,168,238,7,97,60,206,101,0,177,206,254,253,78,93,204,174,250,232,207,17,173,237,128,98,159,29,232,52,208,0,147,
-  209,89,191,22,17,118,175,172,151,237,247,219,162,41,63,226,65,251,250,138,232,253,64,44,212,72,172,241,149,190,62,17,
-  101,191,126,69,11,115,137,234,122,223,23,211,116,40,99,244,183,63,127,186,125,221,77,52,26,45,38,106,74,175,104,205,
-  5,0,227,85,91,212,164,165,102,57,56,50,53,88,234,184,165,107,165,28,135,244,239,157,145,98,12,192,3,191,230,142,
-  201,107,153,23,223,164,70,234,31,153,179,50,55,67,101,162,127,44,178,22,16,212,214,117,86,133,158,1,211,64,204,19,
-  170,182,170,3,214,1,179,189,217,16,100,61,243,178,85,13,188,239,152,189,205,201,112,251,203,220,182,185,143,129,120,193,
-  62,43,30,192,116,235,231,145,156,148,207,233,247,55,251,43,10,80,111,167,250,18,160,198,196,106,238,138,102,197,218,92,
-  42,105,196,188,88,228,19,96,94,78,167,220,79,128,110,234,186,186,90,96,95,43,188,121,238,192,1,106,143,172,37,107,
-  131,239,35,215,183,174,143,33,239,129,236,195,217,223,128,233,240,46,244,190,9,226,62,214,240,5,136,91,70,9,113,13,
-  232,68,117,202,2,78,170,210,5,168,68,93,81,23,68,63,174,168,3,64,43,44,81,18,216,204,25,74,3,81,100,208,
-  4,232,42,178,217,4,84,99,175,120,13,8,230,13,134,129,8,52,234,139,44,16,203,3,166,4,110,0,71,98,248,239,
-  97,239,67,192,222,144,15,131,111,129,179,77,96,90,224,126,112,252,34,207,169,7,64,36,249,14,250,14,1,157,173,137,
-  214,68,32,156,107,92,43,144,185,47,252,225,151,133,30,197,227,160,12,117,65,37,128,229,52,149,121,30,100,79,223,243,
-  230,102,72,90,155,214,59,237,10,120,82,125,211,124,163,65,140,226,73,198,248,215,127,98,83,167,206,34,56,74,25,33,
-  70,152,17,6,226,21,241,142,208,73,69,157,122,250,95,63,196,121,113,30,178,157,217,71,179,143,66,250,99,233,55,211,
-  111,66,212,123,206,157,206,157,16,90,83,172,16,43,64,13,224,37,94,250,55,50,118,187,117,198,195,88,37,30,23,143,
-  67,199,185,97,177,97,177,144,122,216,60,104,30,132,109,214,169,42,167,170,192,236,219,223,109,249,110,11,60,247,229,139,
-  145,47,70,66,216,51,97,203,194,150,1,168,36,221,245,51,159,123,252,127,227,175,141,84,82,193,177,200,150,115,51,69,
-  123,209,30,242,121,242,10,192,152,167,157,186,192,16,27,27,107,240,87,223,188,171,223,161,244,55,157,204,0,232,240,153,
-  177,19,32,42,172,206,178,146,47,151,28,7,129,235,179,251,101,95,4,79,177,171,159,94,221,14,238,247,221,77,221,205,
-  192,184,30,208,59,96,22,56,58,135,7,134,119,135,128,201,49,111,21,253,21,2,143,197,134,198,254,12,206,93,49,13,
-  99,2,192,17,17,102,132,185,65,136,128,95,3,126,3,2,249,221,46,200,27,166,155,110,169,167,213,83,118,206,229,232,
-  29,27,144,64,128,218,46,107,203,218,224,61,234,153,239,153,5,158,170,121,19,115,159,134,83,179,175,199,95,207,128,115,
-  142,148,87,110,43,48,148,227,109,227,55,48,158,21,103,141,238,96,28,18,25,226,26,136,185,98,177,168,6,198,82,17,
-  39,138,129,177,209,104,35,12,16,159,137,120,225,4,67,136,6,162,1,24,229,197,235,162,56,24,217,226,67,81,26,28,
-  211,197,102,99,52,56,102,27,115,141,117,224,220,109,156,22,167,33,176,162,115,166,51,3,66,146,66,86,132,190,9,197,
-  167,198,5,197,13,129,98,221,131,190,13,26,8,188,108,77,52,87,67,80,17,163,191,209,1,12,183,145,110,164,0,193,
-  68,218,56,101,97,111,176,126,142,106,50,201,32,223,144,103,228,89,48,189,190,56,95,17,240,118,247,133,248,194,225,242,
-  153,212,245,183,95,6,153,3,12,5,135,191,78,199,7,112,177,41,31,1,120,187,251,41,37,122,148,235,171,158,0,104,
-  30,82,234,227,226,3,139,191,5,85,95,42,95,187,194,28,96,186,59,202,61,10,120,202,250,218,90,12,4,219,41,249,
-  194,163,88,133,16,2,170,163,186,173,82,193,124,210,87,223,87,30,172,19,190,100,239,1,200,156,225,170,229,122,13,206,
-  245,74,154,159,52,1,196,9,202,241,126,1,196,54,8,96,253,94,49,18,192,29,166,29,169,162,110,117,9,96,232,203,
-  145,174,208,173,161,7,28,253,186,215,110,125,182,77,37,8,72,146,175,200,33,192,82,179,159,57,18,104,192,38,54,1,
-  14,74,217,157,167,11,203,113,214,1,214,18,62,228,67,144,46,115,159,121,0,124,63,185,115,220,9,224,78,202,221,155,
-  251,13,120,15,185,250,185,42,130,217,215,60,102,182,133,180,215,114,171,230,62,0,151,231,166,150,77,221,9,9,99,211,
-  74,165,158,131,244,246,121,157,92,251,193,51,203,60,228,219,11,190,116,171,189,236,13,242,97,117,93,206,7,213,74,77,
-  167,39,224,193,141,7,40,165,169,84,98,163,152,76,87,48,134,136,38,162,3,24,73,34,65,212,3,99,149,200,50,186,
-  128,179,158,99,135,177,26,2,235,6,13,9,122,0,138,76,142,25,23,83,12,26,215,170,247,66,189,94,80,179,114,185,
-  111,202,95,128,128,40,171,185,89,1,88,106,45,151,67,128,62,204,181,69,77,2,11,105,127,208,142,203,85,142,112,4,
-  100,119,171,151,213,19,76,183,111,151,111,62,40,135,220,160,138,193,149,163,105,159,165,21,1,215,82,95,23,95,103,16,
-  199,11,58,150,215,94,211,243,38,229,117,251,25,251,9,87,172,91,251,143,62,242,210,10,77,137,250,187,84,127,241,174,
-  79,218,63,53,5,48,166,104,71,190,200,57,29,40,148,248,72,103,139,75,150,211,247,162,88,119,253,73,145,83,117,115,
-  214,176,63,244,91,6,95,214,141,124,3,63,209,255,239,108,161,65,141,128,166,118,96,80,198,190,78,35,159,199,175,235,
-  49,7,235,121,111,76,183,175,194,79,224,186,170,179,117,70,164,253,12,252,186,115,23,11,134,95,5,142,191,223,245,58,
-  160,32,108,1,248,244,95,196,83,140,0,8,149,206,177,206,153,206,89,16,26,16,100,5,53,0,144,85,100,125,160,38,
-  115,88,1,160,107,93,10,209,33,215,55,34,76,62,33,159,4,107,157,79,249,242,64,62,103,249,172,98,144,254,133,107,
-  143,235,87,72,105,157,61,63,123,26,136,90,180,160,62,232,253,53,119,174,190,83,55,254,200,15,60,252,16,95,105,128,
-  206,19,28,225,52,161,121,216,213,134,229,106,205,169,181,11,2,15,139,42,162,41,176,208,44,111,198,3,177,204,102,182,
-  29,162,70,22,226,60,191,204,65,14,130,156,99,126,110,126,14,238,35,121,215,243,118,131,43,51,59,36,59,16,46,220,
-  72,190,156,180,3,206,140,73,110,151,124,26,120,75,228,8,5,198,44,14,136,147,32,38,137,76,241,7,24,95,138,243,
-  162,37,136,213,98,149,168,2,198,32,113,130,11,32,186,136,115,98,27,136,25,226,132,176,192,88,45,202,139,28,48,174,
-  138,197,98,34,56,14,27,223,25,62,112,182,52,46,56,118,67,64,245,144,230,193,195,33,164,81,244,147,209,209,16,57,
-  42,110,72,241,215,161,76,249,178,191,149,189,5,197,189,81,63,68,101,129,24,159,243,126,206,231,192,231,174,7,220,131,
-  129,78,106,172,28,11,56,239,153,234,151,31,0,239,163,187,209,139,101,66,219,157,225,12,7,206,168,193,234,97,144,165,
-  61,121,158,155,224,89,158,250,120,106,107,200,9,185,94,226,250,50,200,25,159,252,101,210,40,56,63,228,242,71,151,91,
-  130,213,134,39,25,10,70,137,130,31,113,46,199,169,23,154,106,198,27,106,162,154,40,32,194,166,62,60,77,67,26,254,
-  127,17,120,4,139,96,72,125,242,118,233,219,165,33,235,211,172,89,89,179,160,156,203,209,202,209,10,130,222,23,151,197,
-  101,80,187,108,153,203,132,63,121,27,135,237,0,222,167,41,47,65,159,138,166,162,41,244,252,56,226,114,196,101,184,189,
-  208,122,217,122,25,182,52,221,186,118,235,90,40,253,107,105,85,90,193,163,157,135,238,29,186,23,28,241,142,105,90,43,
-  95,205,208,232,226,255,213,114,252,187,82,126,131,233,69,47,96,172,218,171,246,2,134,174,9,210,129,134,72,215,148,43,
-  199,204,127,183,211,115,71,199,243,240,87,180,218,123,167,139,17,219,130,174,6,93,133,26,27,98,99,99,99,65,53,203,
-  155,151,55,15,200,54,167,155,95,0,13,69,25,81,6,228,58,223,9,223,9,144,7,211,187,167,119,1,223,205,180,142,
-  105,63,129,107,235,165,83,23,131,193,104,20,188,60,248,8,56,174,68,54,141,140,132,192,210,69,3,138,190,14,1,15,
-  20,61,85,236,61,112,118,136,142,140,190,5,142,15,66,110,135,92,3,246,59,47,58,47,1,6,31,243,41,144,162,185,
-  176,50,211,58,104,61,6,230,31,222,209,158,58,144,59,216,221,193,83,23,150,85,56,254,196,241,19,112,242,108,114,72,
-  242,12,48,18,129,25,64,89,237,50,231,175,241,91,246,220,126,206,94,21,254,206,195,123,52,102,37,158,228,6,115,129,
-  231,72,160,38,240,52,93,232,10,194,69,38,227,65,140,17,43,196,57,224,16,47,179,17,12,143,168,47,26,67,64,125,
-  71,178,99,44,20,127,45,102,113,76,105,120,100,97,199,202,157,146,161,73,223,202,111,85,238,7,1,77,101,63,249,25,
-  24,179,141,86,198,125,64,63,70,243,236,223,144,215,66,28,218,81,93,167,229,42,101,41,243,184,121,4,100,123,223,90,
-  223,139,144,17,155,219,35,247,65,184,216,33,229,68,74,19,16,15,231,39,139,1,86,232,12,216,177,199,108,166,247,208,
-  252,14,229,14,128,22,107,212,68,128,178,35,107,171,248,229,241,55,33,122,83,120,133,112,55,40,87,154,145,150,3,34,
-  66,122,165,62,39,218,70,144,10,203,145,112,225,2,181,192,74,176,174,128,153,236,29,233,109,4,114,154,117,208,58,3,
-  9,37,211,46,164,253,12,201,213,179,75,102,143,4,209,215,62,123,46,64,234,12,237,24,109,205,200,119,33,61,0,247,
-  189,33,31,7,104,228,106,88,188,214,238,90,217,80,99,109,153,97,101,62,1,68,222,31,121,33,64,35,117,80,29,4,
-  2,242,27,188,21,110,192,177,131,95,249,21,228,47,230,199,230,20,240,212,200,59,147,183,11,242,174,101,207,206,234,15,
-  102,113,119,176,103,20,36,23,207,190,157,157,7,219,119,93,108,115,113,47,236,27,116,229,179,132,174,144,108,101,95,202,
-  142,0,95,119,121,67,198,130,122,220,126,247,74,54,154,187,27,253,155,98,182,51,92,234,174,171,240,7,106,101,129,9,
-  64,158,61,51,252,89,44,187,113,26,139,208,60,127,127,35,189,246,124,194,70,216,201,233,79,78,127,7,47,167,14,191,
-  56,98,37,212,107,91,170,127,169,181,192,141,188,240,188,241,0,42,83,247,60,32,182,144,100,69,53,210,61,91,13,87,
-  35,64,122,77,97,122,192,186,224,251,220,247,49,248,190,180,158,183,138,195,153,7,146,22,38,77,5,171,2,38,22,56,
-  62,179,207,142,0,56,113,212,185,3,32,107,152,169,3,241,175,239,88,53,5,70,151,207,237,73,186,202,254,197,126,128,
-  224,193,154,4,85,251,73,29,64,116,10,86,245,1,90,220,175,246,2,84,27,163,202,2,20,255,72,247,66,10,239,166,
-  27,116,6,52,20,123,1,68,57,81,140,112,194,121,90,180,99,5,127,128,145,39,206,139,139,32,22,138,47,197,55,32,
-  230,242,57,211,184,192,96,209,67,244,4,44,28,8,255,188,6,186,210,148,230,32,106,80,157,120,174,42,139,0,156,128,
-  242,55,26,181,41,221,197,109,199,88,161,16,128,196,137,3,16,24,246,92,176,242,103,134,174,161,243,3,97,186,88,88,
-  160,48,8,70,226,4,230,203,41,106,131,90,3,165,150,199,174,138,221,10,197,95,138,140,143,124,4,192,247,168,47,11,
-  112,168,86,74,203,78,95,201,239,133,113,111,135,166,236,166,114,154,211,32,251,202,215,228,235,96,230,249,58,250,28,160,
-  122,203,25,242,39,184,84,59,117,101,106,111,200,250,220,213,202,245,61,8,127,200,85,30,224,214,122,157,113,186,182,197,
-  254,246,85,244,92,141,46,43,127,1,232,240,90,204,147,145,61,35,135,67,237,175,170,12,171,186,2,192,91,199,91,27,
-  168,46,111,75,61,87,238,167,123,161,250,63,218,177,158,172,58,170,142,96,93,51,95,48,159,0,51,204,211,197,19,1,
-  158,125,190,65,190,241,176,194,56,89,253,228,58,56,60,224,230,220,155,79,128,225,191,231,131,237,171,242,175,231,39,238,
-  10,45,47,0,229,64,248,229,99,253,13,100,7,106,200,82,140,166,40,49,32,90,48,156,145,192,110,178,25,15,98,189,
-  120,82,44,1,35,78,244,21,181,192,89,59,160,116,192,90,40,209,46,182,99,236,16,24,210,234,193,172,7,71,65,171,
-  89,213,119,199,255,4,98,163,55,204,187,30,232,106,70,203,237,119,0,117,70,254,181,252,227,17,174,125,126,250,105,66,
-  162,248,89,44,249,91,6,131,107,106,129,154,3,106,145,175,135,175,17,88,167,114,158,207,233,3,190,110,233,15,165,93,
-  5,223,188,219,29,110,127,13,222,159,210,42,166,25,224,57,157,85,33,171,29,228,181,116,119,116,55,128,172,111,205,8,
-  243,48,92,118,102,191,155,253,105,129,251,179,15,128,33,122,15,56,152,229,164,42,128,175,167,233,182,174,89,215,2,145,
-  143,218,181,7,79,179,192,95,129,254,191,116,248,55,194,73,76,130,235,151,175,31,187,126,12,220,185,238,217,238,217,80,
-  188,68,248,55,225,223,128,35,70,196,138,88,144,87,240,253,13,191,249,55,183,65,129,0,185,150,125,236,131,232,227,142,
-  37,142,37,208,111,126,100,88,100,24,204,26,158,30,150,30,6,75,31,89,186,99,233,14,40,183,163,124,189,242,245,160,
-  67,124,231,1,157,7,0,168,34,170,136,141,173,103,252,95,84,241,23,70,89,202,130,233,53,93,166,11,228,54,181,81,
-  109,4,157,194,247,103,60,120,92,59,177,242,123,59,227,49,231,223,17,214,248,205,21,80,67,106,249,220,186,109,203,197,
-  20,157,95,116,62,148,58,18,146,17,146,1,214,226,180,207,210,62,3,213,72,62,47,159,7,18,109,3,23,38,186,139,
-  238,64,87,63,206,37,134,137,81,160,6,235,76,141,117,197,53,197,245,49,88,211,243,58,229,149,1,239,107,183,94,186,
-  85,15,196,17,135,114,244,2,195,25,242,83,200,187,224,28,28,153,25,217,14,2,166,196,12,40,250,45,4,20,43,58,
-  42,38,24,156,35,35,27,69,133,130,217,132,62,180,6,171,143,175,189,153,2,55,167,101,58,50,163,225,154,35,227,141,
-  140,174,224,168,116,215,70,175,238,50,152,242,79,142,115,243,3,48,173,178,177,141,163,156,0,54,234,163,242,49,133,169,
-  160,194,237,229,212,68,103,104,228,13,253,218,247,187,182,135,23,156,73,36,1,75,35,119,212,216,126,31,84,251,172,220,
-  251,229,82,33,184,99,80,96,16,192,84,181,80,45,0,250,137,45,218,137,40,244,161,159,207,96,85,76,197,130,181,215,
-  92,102,206,5,89,196,204,52,179,224,114,203,212,61,169,243,33,229,74,206,241,156,75,32,236,62,4,186,56,246,118,160,
-  150,209,61,112,61,159,14,247,30,128,241,173,74,4,232,210,46,232,115,71,166,35,199,81,189,225,230,218,79,214,54,192,
-  113,90,238,148,109,129,70,62,233,171,9,108,82,45,84,107,0,174,115,189,16,29,242,205,252,196,79,32,151,91,169,86,
-  42,248,230,121,22,121,102,129,245,148,21,110,133,195,137,203,137,247,39,150,4,79,81,89,82,86,7,71,239,130,243,254,
-  104,168,102,215,159,238,162,51,126,193,239,170,186,0,3,182,132,68,7,182,10,236,28,176,191,243,132,230,171,155,123,33,
-  112,149,26,166,90,3,251,204,126,102,37,160,62,175,240,178,141,117,22,78,141,160,222,96,243,236,34,216,137,214,60,107,
-  62,120,227,92,225,46,15,228,149,202,74,206,90,14,222,96,215,227,174,15,225,232,153,155,11,110,236,133,165,63,31,249,
-  244,72,15,184,178,56,173,115,90,15,80,209,108,231,23,48,102,216,111,218,214,126,119,191,136,192,46,0,185,83,187,27,
-  230,15,250,104,13,208,235,70,45,176,213,156,252,90,122,153,249,171,71,215,32,60,163,255,46,162,236,215,209,54,194,93,
-  205,206,196,238,209,71,199,140,164,63,210,95,78,31,101,116,186,80,226,70,145,235,111,66,253,212,10,205,43,172,6,190,
-  114,53,118,157,1,80,150,42,92,149,43,13,224,52,84,171,213,26,176,70,155,95,249,198,131,140,53,63,55,187,67,250,
-  171,174,126,121,245,224,114,177,219,161,183,175,128,120,221,110,131,58,29,64,110,209,234,102,59,115,204,218,0,252,72,255,
-  59,223,188,237,251,118,116,147,93,240,190,6,167,107,84,187,115,91,181,0,96,68,95,89,28,160,221,84,81,147,161,12,
-  139,233,31,246,81,112,74,112,30,73,197,170,20,169,85,164,51,148,136,137,117,199,10,136,125,33,230,133,162,31,67,116,
-  207,200,158,17,79,66,216,206,208,180,80,15,132,52,9,202,10,202,133,128,105,206,229,206,82,16,48,220,113,191,243,101,
-  48,118,24,107,140,102,224,40,230,104,96,156,2,99,166,136,21,31,1,231,84,2,167,64,29,228,60,251,192,120,84,28,
-  20,7,64,4,138,161,60,2,202,162,8,69,65,196,82,142,178,32,218,11,175,209,10,120,144,246,116,0,162,105,76,89,
-  32,67,244,162,10,144,71,44,117,128,80,74,19,7,120,41,65,61,192,164,147,104,6,36,225,165,60,16,96,67,90,21,
-  185,65,38,240,145,236,35,125,16,91,55,188,83,120,28,20,235,29,248,66,208,8,224,43,207,99,158,12,160,12,253,109,
-  202,123,84,33,1,21,58,240,252,74,141,81,99,192,122,222,76,49,175,131,185,197,59,217,219,29,204,68,249,174,156,8,
-  167,159,186,117,53,113,60,152,63,242,20,197,193,177,191,224,126,113,100,177,166,194,165,52,207,87,127,12,4,168,253,182,
-  122,21,160,86,217,42,33,21,22,84,56,10,165,215,22,91,82,244,37,32,37,119,127,94,2,48,68,70,75,189,230,166,
-  49,173,80,129,24,3,3,84,178,236,33,123,130,89,213,27,229,77,1,121,194,172,104,250,32,165,103,222,147,185,181,224,
-  74,98,90,131,180,61,224,120,212,62,249,236,93,251,166,184,107,255,180,254,228,239,118,227,76,252,253,144,76,82,73,3,
-  21,111,139,174,12,212,71,229,210,251,165,204,208,204,6,95,117,93,194,124,225,205,235,203,175,79,129,249,247,45,31,183,
-  124,38,212,124,243,233,106,101,67,33,102,166,227,154,227,26,128,89,206,44,103,103,227,52,69,173,156,6,89,197,24,241,
-  180,125,5,11,1,104,65,75,224,180,26,162,6,130,250,210,91,211,91,2,172,244,220,200,220,11,224,155,158,81,58,125,
-  19,248,174,164,86,74,149,96,126,144,238,73,111,9,230,220,236,6,217,175,128,188,207,123,206,251,13,144,32,123,200,1,
-  160,222,97,53,107,192,236,47,71,200,7,65,53,34,135,92,72,202,243,13,246,13,134,228,43,190,21,190,85,32,58,22,
-  12,60,50,99,181,133,220,49,197,169,139,36,221,13,125,143,123,123,120,123,4,102,153,231,204,3,166,86,77,232,110,71,
-  158,158,124,52,224,127,215,176,57,132,178,146,172,4,9,79,94,94,114,121,9,136,91,90,54,183,212,54,231,231,206,207,
-  65,244,178,3,128,142,255,206,119,15,178,3,144,86,172,100,37,148,125,45,160,123,64,119,120,240,185,200,75,145,151,224,
-  199,126,233,67,210,135,192,15,183,102,59,102,59,160,244,195,165,31,40,253,0,84,91,82,179,93,205,118,0,214,66,107,
-  97,1,131,240,127,227,207,236,73,21,81,5,60,191,184,63,117,127,10,50,94,222,144,55,176,213,19,252,134,193,58,161,
-  233,59,222,228,191,20,60,2,157,221,246,15,95,216,199,89,0,237,155,136,15,1,98,250,214,206,42,181,186,212,106,8,
-  121,77,47,124,223,120,207,163,158,71,129,18,42,68,133,0,206,63,45,162,213,22,38,192,86,185,170,34,38,139,15,11,
-  28,253,255,212,67,93,86,151,193,58,159,251,90,238,171,96,201,156,110,57,22,120,98,18,155,36,158,5,113,194,17,231,
-  168,3,162,123,80,153,160,102,96,206,13,154,18,252,43,152,143,6,245,8,28,12,39,22,39,102,38,230,64,238,163,94,
-  233,93,4,98,79,254,246,2,36,92,214,72,236,156,92,77,22,48,63,213,53,48,14,91,194,207,248,76,223,47,199,116,
-  253,255,142,247,181,81,51,62,210,78,164,163,178,214,106,113,14,211,27,139,163,143,78,173,59,31,215,20,183,192,55,116,
-  3,189,192,14,98,42,64,100,166,227,52,64,155,41,169,7,50,7,103,246,140,49,114,62,243,110,240,180,132,226,157,66,
-  170,135,156,4,206,146,246,47,10,180,239,144,71,148,135,101,59,217,30,172,87,125,137,190,131,224,115,250,242,124,137,112,
-  114,212,173,113,137,131,192,211,82,158,148,207,129,163,251,29,14,121,24,181,0,206,85,179,5,56,208,129,72,153,3,170,
-  2,64,203,135,74,88,113,61,226,198,66,181,144,138,49,149,118,0,213,221,211,220,223,1,79,153,23,76,173,130,50,219,
-  222,140,202,231,43,247,20,130,125,83,205,149,75,185,192,44,237,171,233,43,15,214,103,190,249,190,159,32,171,132,59,206,
-  253,18,156,61,154,228,76,58,90,96,126,248,55,206,20,128,141,181,181,3,158,87,93,175,163,230,49,178,7,64,171,31,
-  170,62,87,126,74,249,223,161,214,207,21,214,85,236,6,224,249,194,211,14,168,169,218,169,54,64,96,126,166,163,176,134,
-  174,229,232,172,146,85,50,152,87,188,71,189,7,193,245,105,78,195,156,75,224,235,238,254,197,189,3,246,30,184,82,229,
-  202,41,248,233,254,253,99,247,245,132,140,64,247,79,238,3,96,132,240,11,7,64,252,236,247,140,1,178,66,117,32,185,
-  251,188,62,110,79,214,92,252,11,145,250,187,100,217,212,51,79,87,77,45,50,107,105,244,89,74,251,190,157,177,143,110,
-  173,85,36,186,107,202,143,195,208,182,192,225,208,181,1,142,12,237,182,135,182,81,83,1,94,79,11,190,29,48,60,224,
-  137,198,148,57,88,98,84,73,237,204,189,69,30,16,146,79,185,148,133,36,190,160,3,184,108,221,40,88,13,147,223,203,
-  239,193,116,120,159,247,29,2,213,76,38,202,48,184,252,123,106,108,234,41,72,61,156,51,51,103,41,24,149,168,72,101,
-  208,130,8,183,236,144,107,223,74,127,45,220,58,27,33,206,151,211,109,107,35,158,159,1,212,157,169,230,1,188,90,75,
-  227,27,189,39,7,45,112,126,235,252,49,172,111,149,77,229,186,148,27,72,223,102,29,234,157,173,7,212,41,89,117,83,
-  213,211,80,170,72,209,222,197,222,129,136,236,144,244,144,72,8,72,117,252,228,40,11,98,31,227,57,15,132,50,85,125,
-  6,156,83,173,116,176,172,118,168,47,128,100,149,163,234,1,168,206,42,6,168,70,166,234,7,60,172,198,218,202,135,61,
-  208,115,127,131,90,5,172,81,243,109,29,172,33,54,181,73,218,106,127,254,145,74,103,0,150,216,224,204,89,251,185,204,
-  215,84,73,113,191,24,104,91,90,157,21,43,110,11,147,212,214,65,154,104,37,116,233,251,0,251,247,63,179,3,184,79,
-  94,181,110,1,25,222,55,125,159,3,173,61,85,61,97,64,81,249,176,172,7,8,210,116,93,85,225,174,39,85,74,173,
-  80,191,131,53,217,23,237,19,32,83,204,52,51,11,50,122,184,170,187,156,112,33,34,121,80,242,35,32,34,88,195,251,
-  249,231,46,215,235,98,75,29,219,187,222,151,223,83,44,0,160,99,67,45,86,17,89,191,65,163,154,47,215,90,8,193,
-  221,141,115,142,179,192,84,83,153,51,128,18,124,107,139,174,20,86,159,18,157,209,57,167,85,193,228,85,107,160,53,24,
-  124,47,121,87,123,231,131,116,200,202,178,34,156,189,153,252,68,74,109,200,122,219,253,168,219,85,64,60,33,18,224,70,
-  19,221,159,230,251,215,244,254,232,249,85,103,116,28,135,116,45,146,209,206,166,232,181,165,56,128,81,87,219,17,71,29,
-  93,91,100,172,180,215,255,62,13,100,58,34,244,223,3,255,208,192,104,224,71,250,24,220,79,124,2,16,182,195,161,0,
-  218,110,74,253,35,253,151,244,169,197,134,102,204,204,126,61,59,24,98,136,252,37,82,55,164,94,101,172,209,30,138,154,
-  9,76,151,79,201,145,32,91,186,31,117,247,4,235,72,78,72,206,97,48,63,206,24,158,222,20,124,197,210,242,210,6,
-  131,111,86,198,199,25,71,192,58,159,51,62,103,36,168,82,222,247,188,59,64,189,43,91,202,134,192,135,162,147,120,5,
-  40,142,155,68,224,182,248,77,44,7,186,24,27,141,77,160,22,203,159,229,207,96,61,171,178,85,54,168,177,170,133,106,
-  1,23,203,187,31,112,63,0,174,37,50,71,230,128,136,205,159,93,192,133,195,58,104,62,86,198,41,222,0,200,238,228,
-  206,116,111,115,111,139,196,179,199,187,194,187,2,64,100,138,76,0,245,169,250,244,127,165,195,250,164,120,18,188,45,221,
-  251,220,251,224,210,146,75,149,47,85,134,80,27,25,46,30,227,188,236,188,12,170,67,190,140,237,127,108,184,109,153,221,
-  207,216,194,22,168,103,106,138,78,215,53,225,190,112,31,172,104,147,24,158,24,14,223,213,152,89,107,102,45,120,245,251,
-  215,79,188,126,2,98,70,22,27,92,108,48,128,124,77,190,86,0,193,252,191,113,183,31,191,73,109,130,156,193,57,165,
-  114,74,129,26,74,5,42,216,178,134,249,72,140,111,150,54,24,238,207,255,234,230,109,60,80,16,201,8,57,170,26,3,
-  116,94,30,222,85,55,170,172,213,33,238,124,220,121,80,141,115,31,206,125,24,152,225,91,234,91,10,52,227,99,62,6,
-  176,169,94,255,113,60,94,203,55,215,21,11,197,207,5,142,14,202,83,17,84,105,121,78,158,7,107,90,238,181,220,75,
-  224,126,57,115,123,230,123,144,189,205,146,214,7,112,178,70,146,72,202,3,101,203,255,138,152,252,68,43,176,234,170,163,
-  39,192,164,95,173,42,58,3,180,174,251,29,159,62,239,79,174,106,92,129,102,180,5,199,220,78,223,235,163,51,215,118,
-  195,181,49,124,91,5,1,84,152,162,42,1,108,216,19,254,112,72,141,144,106,49,45,195,186,132,36,134,148,7,113,86,
-  124,35,62,7,234,168,15,108,185,233,195,127,250,233,247,114,3,74,208,27,144,170,109,61,96,61,8,86,140,239,55,223,
-  2,200,216,152,119,37,239,10,156,251,44,105,79,114,18,136,205,118,248,40,10,102,190,54,77,210,50,228,185,174,124,190,
-  117,121,128,102,11,244,60,169,48,181,230,19,213,38,84,95,13,49,50,242,112,100,83,80,71,211,143,167,159,4,81,69,
-  38,203,34,64,128,45,191,88,120,129,149,15,31,168,3,50,72,134,128,233,242,54,240,22,7,53,213,122,211,218,0,87,
-  67,210,78,166,71,67,210,244,172,77,153,63,131,184,0,244,70,75,163,146,25,171,29,238,205,239,230,75,64,239,7,232,
-  118,216,56,9,16,83,174,69,159,6,131,27,76,134,136,250,129,87,2,62,3,126,115,181,112,61,7,60,64,182,109,47,
-  11,75,141,70,115,180,19,57,203,89,144,231,172,189,214,126,240,244,114,221,114,237,2,223,9,247,207,238,52,184,48,33,
-  229,233,148,94,240,115,220,161,243,7,71,65,70,31,119,51,119,67,48,252,108,125,23,128,153,160,95,172,77,215,224,218,
-  212,36,42,3,236,158,43,30,6,112,61,99,217,84,203,13,255,248,187,156,184,235,120,247,56,122,247,47,186,54,41,104,
-  87,202,61,169,186,1,68,47,43,89,36,246,209,216,183,121,184,202,155,229,30,40,187,27,184,225,251,213,231,3,74,169,
-  227,90,57,140,115,186,9,106,33,5,112,27,249,156,207,193,250,202,156,106,126,4,190,78,222,112,239,113,48,115,172,142,
-  86,63,56,181,39,209,115,107,36,248,110,169,146,234,52,56,154,20,12,84,15,175,212,115,238,210,81,91,70,53,190,107,
-  107,251,239,217,0,206,69,198,87,0,3,77,181,26,96,82,39,225,52,156,70,96,197,139,117,67,43,203,202,149,161,87,
-  253,246,211,219,43,104,20,87,173,77,245,167,32,178,72,208,254,160,36,96,188,185,202,220,1,12,241,53,247,77,7,214,
-  228,142,207,125,15,184,32,127,150,75,128,121,60,66,127,32,64,189,170,126,2,194,121,157,36,32,74,45,84,43,0,183,
-  110,216,75,73,102,176,5,45,217,241,1,16,169,122,171,195,64,54,253,121,1,168,67,25,162,129,19,172,160,46,144,75,
-  133,59,106,105,238,70,178,255,182,218,162,41,14,84,37,140,22,64,0,103,73,4,78,176,131,157,64,101,74,82,18,216,
-  71,12,85,128,122,226,150,200,4,2,216,78,26,32,200,34,18,72,83,31,168,239,128,18,170,135,234,7,212,182,25,39,
-  129,249,1,71,97,201,167,234,192,51,151,36,110,129,122,75,110,150,219,192,172,230,157,236,125,16,84,89,185,86,110,135,
-  132,237,105,91,83,223,132,148,173,57,55,115,230,130,225,175,71,235,4,144,60,75,239,43,187,114,237,60,152,173,214,21,
-  49,82,215,173,118,250,33,106,82,248,220,240,53,124,86,119,122,181,93,213,122,2,120,91,123,59,0,69,229,88,249,2,
-  160,136,167,26,32,10,205,110,104,160,249,29,213,77,117,3,43,203,92,108,254,8,230,34,239,101,207,49,240,140,51,111,
-  153,209,112,242,203,196,168,155,43,192,218,70,50,157,192,49,161,32,128,185,126,129,6,220,38,61,169,231,185,220,180,110,
-  254,29,159,225,15,83,190,254,147,107,232,113,247,47,186,197,219,63,244,209,230,65,106,182,75,186,182,28,229,206,169,4,
-  128,13,157,35,51,195,170,134,53,42,70,184,199,57,212,217,11,100,68,250,99,233,53,193,183,40,117,95,106,67,48,191,
-  202,184,150,62,8,124,163,210,151,101,60,5,102,209,172,172,204,119,65,206,117,61,232,186,15,228,70,95,144,111,26,48,
-  95,46,147,139,129,189,226,17,241,2,80,143,64,186,2,9,98,154,248,4,112,26,179,13,157,81,171,160,109,161,45,195,
-  31,104,103,218,54,114,158,243,32,219,171,120,21,15,114,184,202,85,185,224,254,86,181,86,173,225,252,37,87,95,87,95,
-  80,11,116,163,109,225,247,89,115,1,118,254,18,88,20,32,185,152,211,166,14,76,112,229,186,39,186,39,150,38,239,165,
-  220,111,115,191,5,190,160,182,238,125,80,232,145,246,127,85,224,209,88,52,134,212,230,169,129,169,129,112,189,209,245,231,
-  174,63,7,197,74,57,126,113,252,2,69,22,58,54,56,54,128,90,199,113,142,255,167,220,0,219,61,214,197,231,98,151,
-  232,32,58,64,135,243,97,115,194,230,192,205,145,230,55,230,55,176,47,250,72,197,35,21,97,193,222,249,195,231,15,135,
-  39,106,63,53,231,169,57,16,112,34,240,173,192,183,0,212,80,221,236,241,159,114,248,254,127,25,254,251,208,149,174,144,
-  249,65,198,225,140,195,32,53,106,226,118,188,105,163,78,2,192,117,90,111,34,57,9,5,113,152,127,115,200,124,55,7,
-  168,86,93,190,5,208,224,72,153,42,49,191,197,252,6,165,9,237,22,218,13,164,51,177,75,98,23,80,215,173,25,214,
-  140,59,174,171,112,56,170,78,187,209,216,44,149,166,210,64,70,169,173,106,43,200,215,68,31,209,7,146,238,247,61,235,
-  123,22,110,124,238,105,229,105,9,162,175,189,49,235,126,19,147,52,114,183,254,150,181,14,128,111,214,61,123,111,46,107,
-  227,72,125,188,79,87,142,92,80,119,100,73,27,86,215,157,138,203,125,95,109,70,133,182,21,159,167,101,209,151,35,107,
-  70,77,4,195,229,9,243,60,15,60,38,238,23,154,74,208,133,251,11,117,222,232,12,226,119,122,61,89,227,205,146,102,
-  12,88,165,125,3,124,131,224,74,98,106,64,106,58,36,173,203,158,153,85,31,196,70,224,73,108,234,77,166,54,197,108,
-  158,165,251,87,176,81,111,64,162,134,250,5,160,75,253,192,238,198,49,227,68,64,120,195,150,117,38,215,174,12,206,33,
-  202,165,26,2,109,124,139,125,199,129,75,234,77,245,137,141,161,21,78,241,164,22,167,56,204,239,252,14,114,191,185,211,
-  220,14,230,14,239,143,222,209,96,21,179,26,89,141,224,100,255,91,51,19,7,128,251,103,235,101,171,17,24,35,10,174,
-  140,19,169,186,135,196,137,74,58,211,23,153,32,175,1,116,125,57,166,68,228,253,145,131,249,185,97,173,248,181,241,69,
-  128,143,189,69,124,77,128,118,50,82,119,35,46,116,117,21,77,145,123,91,53,87,45,192,124,197,119,221,119,1,188,39,
-  220,115,220,207,65,238,101,207,25,207,25,88,249,225,201,23,79,156,130,148,71,114,15,231,62,4,142,83,5,29,34,111,
-  57,189,167,77,219,175,145,217,15,138,234,192,35,51,82,216,25,209,181,221,238,237,69,119,246,103,86,190,183,143,94,128,
-  166,63,171,62,0,229,79,215,104,94,245,153,170,159,65,145,7,195,82,195,26,3,61,50,202,102,214,5,126,86,17,74,
-  215,58,93,183,169,20,133,147,25,107,167,59,69,91,83,125,153,190,203,96,61,232,11,242,149,130,172,39,221,155,221,203,
-  224,220,130,228,234,73,123,236,218,175,168,2,142,184,19,96,83,35,93,94,237,137,207,239,231,80,12,32,176,132,46,175,
-  126,254,107,89,17,224,141,143,35,143,135,253,22,182,42,98,231,3,107,59,253,222,201,9,189,104,53,161,245,46,136,222,
-  23,52,33,232,27,32,201,253,157,187,25,112,42,107,78,214,239,64,170,28,34,71,0,33,170,132,170,6,116,227,89,158,
-  3,12,22,178,0,48,232,73,15,64,113,156,163,128,65,31,122,1,146,197,186,179,134,61,31,29,212,183,123,132,248,143,
-  95,51,3,80,182,67,47,236,117,211,252,159,238,55,119,143,12,59,27,114,222,238,29,162,51,218,197,109,25,103,127,131,
-  213,138,254,243,213,72,53,242,142,243,235,81,27,168,200,53,174,2,130,121,54,240,242,175,98,58,232,192,115,19,95,241,
-  21,88,115,205,159,205,133,96,62,237,141,243,94,2,203,39,63,183,102,194,169,171,137,63,221,138,5,239,187,178,155,148,
-  224,232,92,208,191,57,210,70,203,134,159,111,97,239,155,237,244,31,107,214,145,35,0,234,116,175,116,182,92,96,185,234,
-  80,118,106,108,102,172,0,42,187,166,186,22,0,29,229,118,121,0,16,154,242,94,136,67,171,23,198,168,137,234,77,48,
-  31,240,69,248,50,65,206,54,79,155,157,32,37,61,167,111,246,117,184,28,119,251,169,212,24,48,94,176,171,29,131,0,
-  172,199,109,145,13,143,6,158,228,38,117,143,130,163,53,126,48,65,31,211,187,118,45,152,113,110,52,85,75,144,151,255,
-  162,202,155,209,165,162,99,193,57,225,116,209,83,95,65,234,247,9,237,19,106,128,252,45,103,83,206,98,80,143,90,181,
-  173,213,192,41,213,65,253,14,120,197,20,49,22,248,138,227,108,5,2,196,125,162,27,48,210,120,214,120,193,206,196,233,
-  140,220,211,118,77,165,127,63,250,199,181,120,14,251,254,141,82,191,170,95,65,142,210,181,34,242,103,198,51,30,110,111,
-  244,213,246,213,134,27,237,189,95,121,191,2,209,167,32,244,226,189,108,239,155,175,123,237,108,150,83,87,172,223,156,235,
-  25,236,58,239,58,95,175,105,230,107,153,207,102,62,11,32,174,9,45,211,213,44,95,69,251,127,9,68,174,111,172,232,
-  47,250,195,229,201,151,179,47,103,67,234,199,169,71,83,143,66,139,5,129,75,3,151,66,232,6,99,174,49,23,212,115,
-  118,4,158,242,159,198,89,245,135,55,211,253,58,66,54,25,111,25,111,65,239,31,35,6,70,12,132,164,97,230,211,230,
-  211,176,202,185,122,231,234,157,80,49,167,162,81,209,128,251,101,239,49,189,199,0,134,141,156,252,95,191,15,255,208,207,
-  101,159,245,145,245,17,220,94,159,58,43,117,22,254,218,14,175,205,43,15,214,247,61,59,74,23,189,229,12,254,103,74,
-  73,93,108,174,55,71,10,30,219,45,17,63,1,196,46,173,189,181,100,159,146,125,32,116,145,117,204,58,6,230,14,119,
-  144,59,8,252,29,233,49,10,141,131,235,15,136,180,1,232,193,12,102,128,213,84,149,82,165,64,186,85,91,213,22,46,
-  20,115,125,232,250,16,114,94,150,33,50,4,242,233,91,161,0,151,42,216,240,117,90,33,117,199,70,109,178,127,208,250,
-  253,147,181,225,236,92,59,96,166,241,150,241,118,64,207,70,170,206,3,181,235,64,104,104,208,172,32,9,76,245,61,235,
-  123,30,136,144,47,75,173,219,126,81,43,206,228,103,26,239,117,81,178,166,20,56,212,7,234,35,48,159,241,61,239,235,
-  15,62,175,239,43,223,20,56,181,233,86,92,226,17,112,151,179,126,180,106,129,49,218,62,203,3,112,98,33,235,0,78,
-  214,202,111,38,90,12,160,100,99,157,173,105,93,60,246,100,177,175,138,173,133,248,251,42,47,173,124,31,240,145,167,190,
-  123,55,240,177,89,198,28,8,196,178,197,110,200,90,88,84,36,141,236,141,86,165,84,105,176,2,205,209,230,32,48,63,
-  244,29,244,78,134,108,143,167,177,167,43,156,121,254,214,252,164,238,64,117,187,18,35,183,160,35,177,169,145,190,198,236,
-  251,168,15,208,188,180,122,5,160,198,175,149,107,149,107,85,110,16,148,222,84,84,22,109,7,164,231,53,117,101,0,145,
-  170,168,138,179,183,204,228,194,207,88,169,44,93,139,96,198,90,181,172,242,160,246,7,84,118,86,134,51,139,211,27,165,
-  21,135,19,207,220,124,235,102,45,48,178,120,128,121,228,247,75,208,142,242,236,39,169,6,48,105,185,6,215,92,79,172,
-  243,115,176,119,22,18,204,101,187,98,214,122,189,58,140,15,0,58,86,8,216,96,188,106,188,29,80,188,126,98,141,41,
-  53,130,192,17,106,253,44,119,0,67,173,118,214,203,64,28,15,217,141,100,239,117,255,19,63,48,146,71,30,168,121,82,
-  73,5,230,57,223,112,223,131,160,206,202,93,214,58,184,82,45,189,123,90,105,72,158,154,29,154,253,10,8,63,255,126,
-  25,64,218,21,189,47,110,127,222,223,248,79,23,170,138,75,186,40,252,201,100,25,13,240,214,197,18,157,138,21,43,22,
-  31,218,244,137,128,135,238,127,248,71,104,185,171,198,99,241,111,128,225,117,39,122,246,0,235,179,163,179,171,2,205,229,
-  3,242,33,160,61,202,14,8,252,69,179,127,240,199,29,129,173,191,72,246,31,127,47,199,159,126,223,59,59,84,139,124,
-  21,73,127,70,193,95,203,169,3,5,105,247,23,242,119,180,15,204,239,84,175,197,47,156,246,251,248,133,48,124,246,245,
-  170,187,174,207,223,167,72,216,141,40,67,108,0,201,176,63,231,111,253,24,254,213,29,170,117,99,209,142,42,69,221,6,
-  107,178,249,152,217,29,172,243,230,21,223,2,200,234,237,110,239,41,11,103,91,36,85,186,149,13,226,27,32,172,192,217,
-  22,192,166,6,26,29,119,181,203,111,0,57,23,160,67,53,189,255,20,169,214,160,83,205,82,181,186,65,200,69,199,211,
-  142,73,192,12,95,61,223,88,160,27,239,219,148,173,194,106,39,160,159,183,191,104,62,204,106,102,53,7,223,43,158,111,
-  60,35,65,62,101,45,151,191,193,185,63,146,7,166,92,132,140,178,174,241,121,99,65,188,3,124,134,173,91,118,181,162,
-  126,190,187,187,216,138,139,243,214,255,122,111,47,178,171,45,53,30,160,131,210,14,222,93,0,157,150,7,180,20,95,139,
-  175,3,157,53,247,22,121,42,250,73,80,141,111,45,186,181,16,172,151,115,222,200,121,3,168,103,93,181,206,3,81,162,
-  149,104,13,116,16,207,136,231,239,120,235,7,180,58,213,127,240,254,26,249,129,144,102,238,68,51,154,209,96,61,164,2,
-  85,32,40,75,247,65,185,252,184,187,151,187,23,228,180,179,50,173,76,16,254,128,42,26,224,202,34,189,246,14,46,210,
-  13,104,193,208,157,158,47,41,111,89,111,132,55,2,82,154,165,156,78,57,13,192,8,70,252,175,116,88,195,244,194,145,
-  13,101,67,56,217,238,196,39,39,62,1,235,11,171,164,85,18,42,207,13,12,10,12,2,199,74,198,49,14,72,254,203,
-  253,20,254,218,240,23,159,79,212,212,171,184,250,206,213,206,213,240,160,47,242,66,228,5,8,78,244,93,247,93,135,121,
-  239,206,171,60,175,50,28,75,61,218,235,104,47,0,71,91,71,219,59,12,227,255,231,67,244,16,61,192,55,200,219,215,
-  219,23,82,82,146,7,37,15,2,187,46,233,66,254,130,241,1,220,78,98,59,64,206,48,182,254,147,119,93,105,255,112,
-  9,32,104,155,234,14,208,101,87,232,233,128,23,3,94,132,90,47,21,175,85,188,22,176,38,111,101,222,74,224,45,239,
-  26,239,26,64,233,34,94,10,139,163,234,223,72,175,218,58,251,123,212,125,234,62,176,70,169,0,21,0,238,28,233,145,
-  30,56,247,188,235,138,235,10,40,191,190,122,68,193,243,119,148,167,47,192,77,175,118,40,11,97,248,157,206,175,1,138,
-  183,87,139,0,218,212,46,154,21,113,43,34,17,42,119,9,157,31,54,25,204,51,73,227,146,250,131,220,155,61,51,251,
-  93,80,187,124,13,124,229,129,67,106,180,70,4,69,117,81,11,64,188,32,94,1,16,149,69,53,0,49,79,7,129,180,
-  162,117,1,71,251,47,58,172,228,233,34,60,57,216,154,108,77,6,171,187,111,172,247,65,200,42,153,23,155,87,25,206,
-  180,79,170,154,116,163,192,230,42,242,215,45,176,57,74,243,144,179,194,243,41,72,1,0,141,71,169,60,128,74,19,107,
-  150,174,106,85,173,11,197,158,139,142,142,46,3,234,101,247,76,207,22,160,141,181,204,90,14,24,119,202,32,23,130,35,
-  105,97,129,220,47,75,202,82,96,198,121,27,121,75,131,26,96,190,96,77,128,107,77,50,118,167,207,129,155,111,103,110,
-  201,88,12,226,213,130,153,128,156,193,58,3,176,241,237,252,108,140,5,208,108,132,232,10,16,221,180,246,139,213,22,87,
-  59,10,193,177,198,67,142,55,128,163,214,113,235,52,224,224,172,141,218,21,86,198,195,255,253,178,200,0,117,73,61,164,
-  186,129,156,229,56,224,88,13,86,163,176,50,97,149,225,112,255,196,204,196,45,224,174,107,61,96,245,6,225,151,64,119,
-  3,28,31,175,53,239,63,90,166,251,72,20,8,56,10,219,90,13,181,39,225,53,128,184,48,245,35,64,171,164,98,155,
-  139,188,30,51,5,170,151,47,63,188,252,51,0,158,218,158,30,64,89,107,165,245,7,32,242,107,44,239,245,124,209,142,
-  238,54,126,97,41,200,61,214,114,107,25,248,190,246,94,247,172,7,43,199,234,45,123,194,169,168,91,27,111,125,14,158,
-  117,214,183,214,183,32,6,20,124,139,19,189,245,181,157,62,171,69,106,64,149,6,184,47,71,118,2,152,184,52,54,189,
-  72,253,34,237,67,7,141,93,55,240,219,65,145,208,186,76,124,171,248,205,96,180,203,153,159,123,5,184,238,89,235,217,
-  8,116,150,197,101,44,16,193,90,116,223,10,127,175,239,24,123,173,249,237,170,63,64,240,223,143,187,143,255,248,123,90,
-  118,128,113,85,139,190,48,89,55,148,164,130,110,52,171,150,202,155,50,17,84,7,171,181,213,6,164,219,90,103,109,0,
-  249,147,245,166,245,54,200,135,204,98,102,28,200,209,230,105,243,44,200,71,204,77,230,86,144,227,205,75,102,2,200,225,
-  166,48,29,32,159,52,203,152,229,65,190,100,86,53,171,131,28,103,31,135,155,109,204,14,32,219,90,215,173,27,32,207,
-  201,186,178,34,168,243,170,191,106,7,28,226,250,159,42,102,82,168,235,201,141,27,212,20,235,170,117,13,204,99,222,170,
-  222,18,32,231,152,153,86,4,92,121,49,109,67,218,56,184,245,86,214,158,172,229,32,70,231,195,183,64,198,36,109,39,
-  182,46,200,103,197,188,13,16,22,170,66,0,58,255,26,25,29,122,37,52,15,234,157,168,126,169,122,30,128,111,166,111,
-  41,80,71,190,45,117,219,6,63,163,166,176,152,28,58,115,244,141,86,107,179,74,155,103,205,163,96,110,243,94,241,238,
-  7,111,156,217,196,172,13,39,158,72,92,117,115,18,88,69,153,202,103,144,79,147,214,1,199,120,13,204,92,141,42,52,
-  223,235,59,219,93,105,9,16,23,171,118,0,180,121,49,38,42,108,113,216,98,168,114,53,242,225,168,71,64,142,116,207,
-  119,47,0,138,201,63,228,106,32,74,212,21,245,10,197,62,248,119,77,253,92,118,217,53,96,67,84,117,85,29,172,230,
-  42,88,5,131,175,140,156,40,39,194,217,31,92,187,93,187,65,254,204,109,110,67,254,254,40,1,246,132,233,251,119,99,
-  183,159,234,110,232,2,167,51,73,230,86,34,137,148,142,155,239,223,112,222,112,2,232,136,134,255,117,212,30,177,94,172,
-  135,220,106,217,33,217,33,112,124,198,241,219,199,111,67,228,43,58,213,84,254,235,128,135,3,30,6,85,135,139,92,228,
-  239,57,157,126,52,162,178,54,104,34,222,54,136,255,94,148,194,190,167,178,27,171,88,5,53,134,7,237,9,218,3,61,
-  70,68,132,68,132,64,198,71,169,67,83,135,194,119,1,51,71,205,28,5,73,7,110,110,184,185,1,192,56,108,28,254,
-  155,193,248,255,120,108,101,43,228,124,144,59,34,119,4,220,110,155,114,36,229,8,8,157,246,62,80,64,204,16,184,94,
-  71,109,3,112,45,243,71,220,255,70,30,69,143,138,0,85,186,232,6,105,141,222,44,29,92,100,83,145,77,80,238,161,
-  240,89,225,179,64,206,206,109,147,219,6,216,104,133,89,97,246,178,23,133,104,0,156,246,134,187,88,29,83,199,64,102,
-  235,133,175,202,171,158,170,39,164,252,230,187,233,187,9,215,79,120,59,122,59,130,120,176,224,247,55,135,233,251,177,126,
-  187,14,142,212,55,127,130,22,222,187,0,169,8,64,195,225,42,23,160,74,155,202,213,139,150,46,90,26,66,159,187,62,
-  245,90,75,72,127,122,203,27,155,15,65,90,241,77,3,54,126,13,233,159,109,173,186,229,41,200,60,183,247,145,61,203,
-  33,183,250,137,55,142,91,224,62,112,101,250,149,6,224,75,190,93,245,246,45,144,93,115,7,228,54,7,101,154,37,204,
-  96,224,2,107,52,18,42,154,138,22,0,98,130,241,38,128,104,33,218,0,136,205,66,119,9,126,148,33,192,28,166,50,
-  13,228,64,171,149,213,24,172,251,125,134,239,58,92,59,148,54,32,173,30,36,246,207,172,159,233,0,49,174,224,151,202,
-  141,183,51,1,55,253,245,39,78,45,97,88,139,13,0,93,74,7,172,19,187,196,206,160,200,134,89,117,18,234,148,131,
-  128,46,180,18,85,128,199,124,77,188,173,129,88,181,87,237,179,49,160,232,66,185,243,218,177,218,199,122,214,131,220,99,
-  237,179,246,130,239,61,239,175,158,175,193,122,197,106,110,13,130,83,142,91,201,183,126,7,215,30,179,179,217,30,196,235,
-  5,3,168,211,54,37,241,88,121,59,0,191,174,94,3,104,124,32,248,108,192,222,128,253,80,253,131,242,111,84,120,3,
-  192,52,205,104,160,178,28,34,135,20,106,192,113,247,112,145,7,234,29,225,17,183,128,248,160,200,160,44,240,92,12,248,
-  61,240,105,184,190,39,245,195,212,190,32,38,21,12,168,252,14,196,188,104,237,24,37,28,80,163,255,197,214,42,180,32,
-  16,80,239,144,182,71,85,62,169,118,180,82,207,138,227,33,110,98,212,241,168,12,160,135,175,175,239,9,160,186,82,202,
-  42,148,76,135,127,104,4,116,180,138,81,49,96,237,52,7,248,122,129,245,142,247,75,223,183,144,179,193,115,213,115,12,
-  206,126,116,107,235,173,25,252,61,5,41,24,96,211,90,13,52,228,20,33,17,160,244,42,85,7,96,82,143,224,73,1,
-  153,1,57,197,62,30,242,97,207,247,123,157,128,38,47,86,10,173,52,18,184,146,51,38,231,83,160,153,153,106,222,6,
-  202,168,151,213,56,64,228,103,138,255,179,181,140,126,127,69,239,203,235,116,227,76,53,79,222,146,73,96,253,236,203,245,
-  185,192,219,207,189,221,189,25,220,111,230,118,202,109,13,238,199,178,199,103,15,128,188,17,217,35,178,59,65,222,183,153,
-  125,51,43,66,110,203,140,219,25,27,32,55,43,115,121,230,7,144,187,54,227,153,140,238,144,187,50,99,120,70,73,200,
-  221,154,49,46,99,32,228,6,103,46,201,120,13,114,167,102,94,202,252,28,114,63,201,60,149,249,25,228,126,152,153,145,
-  185,24,114,167,100,7,101,175,135,188,120,247,92,247,104,240,244,85,213,148,9,230,105,163,153,168,7,42,139,105,118,159,
-  176,123,11,116,254,179,192,115,63,191,241,27,200,11,214,49,235,48,248,62,245,94,241,236,7,107,176,156,40,63,128,83,
-  43,110,45,75,28,11,158,134,214,99,214,32,16,126,48,58,15,224,196,54,86,1,156,242,229,203,67,183,6,168,62,67,
-  142,4,168,191,174,194,231,101,191,41,187,30,202,245,47,254,109,220,126,96,166,231,69,207,103,64,121,53,83,105,90,244,
-  189,162,156,250,3,211,234,186,153,33,47,163,1,171,12,145,5,234,33,182,179,7,172,95,124,235,125,243,64,110,54,171,
-  154,21,224,118,110,238,87,185,99,225,210,252,219,191,220,126,31,140,129,5,1,23,185,86,215,40,173,191,79,95,163,85,
-  221,19,87,72,79,195,79,5,61,10,80,255,69,117,18,160,234,238,202,13,138,14,42,58,8,138,22,55,82,140,20,144,
-  221,60,49,158,24,32,55,191,177,119,97,53,90,244,239,231,218,174,191,167,214,169,117,32,79,216,126,199,120,53,90,141,
-  134,180,16,115,171,185,21,174,74,207,89,207,89,16,141,10,2,118,178,175,62,110,168,174,51,203,178,185,122,196,239,206,
-  68,2,156,142,210,156,222,156,65,87,203,93,25,112,101,64,36,178,161,89,202,44,5,198,33,35,201,72,178,157,185,3,
-  255,163,29,85,59,133,105,28,52,14,194,101,223,229,209,151,71,67,66,192,149,133,87,22,66,229,31,3,191,9,252,6,
-  98,91,57,7,59,7,131,42,201,5,155,242,81,96,34,130,232,102,115,219,234,171,229,106,57,168,120,157,129,48,190,18,
-  195,197,112,80,163,184,201,77,242,85,173,254,233,56,103,167,108,107,107,234,80,171,31,66,35,67,35,225,198,78,223,30,
-  223,30,216,190,246,116,243,211,205,97,110,216,156,109,115,182,193,179,13,158,155,245,220,44,8,62,28,178,39,100,15,128,
-  42,167,202,221,129,4,253,127,50,140,58,70,29,184,93,235,118,204,237,24,72,251,61,237,183,180,223,64,44,99,24,195,
-  88,100,75,148,142,214,116,150,11,97,162,42,128,156,133,93,108,125,55,165,162,107,123,251,135,140,130,11,167,245,231,162,
-  1,64,201,186,53,167,150,116,148,116,144,28,214,70,198,202,88,48,235,187,191,113,127,3,170,164,70,0,48,10,141,179,
-  239,159,189,90,238,178,47,159,242,41,88,101,53,98,39,143,242,12,207,192,197,104,215,38,215,38,200,174,107,197,91,241,
-  96,59,219,182,26,71,194,203,58,224,218,59,200,159,141,89,247,206,189,189,188,46,254,58,40,127,177,92,12,64,199,99,
-  142,229,236,101,111,112,96,157,206,37,183,149,220,6,1,94,207,33,207,33,240,85,114,157,119,157,3,57,194,211,212,83,
-  23,172,182,217,127,100,207,4,206,38,175,79,94,7,140,23,207,138,177,32,70,26,191,26,197,65,148,119,110,118,110,2,
-  227,118,80,122,80,0,24,199,67,198,135,142,2,71,141,240,54,97,75,192,249,92,196,35,17,127,128,163,69,216,142,240,
-  119,192,177,38,180,68,232,73,48,158,11,249,32,100,56,24,199,130,222,14,122,17,216,96,244,53,122,129,249,137,207,240,
-  229,129,185,192,167,204,158,112,58,227,86,189,91,173,32,111,172,89,218,236,4,198,187,5,29,242,51,77,244,218,58,150,
-  47,78,96,182,7,136,155,42,123,2,180,61,29,55,62,198,29,83,148,202,53,250,86,105,83,245,21,96,176,231,160,167,
-  36,136,58,190,109,230,57,96,34,11,208,60,255,98,133,212,135,65,59,146,163,84,85,85,13,172,225,190,86,190,134,96,
-  142,244,238,240,53,133,220,0,239,20,239,13,56,125,234,86,244,173,42,192,42,187,195,68,217,252,109,27,216,188,86,109,
-  0,72,143,227,69,128,232,46,170,36,64,124,175,232,114,145,149,163,154,65,169,81,197,74,22,235,7,96,150,243,141,5,
-  66,85,178,238,109,195,30,45,145,90,232,195,141,27,196,108,99,177,177,28,28,187,3,110,59,147,192,241,150,250,67,165,
-  2,31,24,30,99,21,40,191,28,238,8,128,236,103,244,124,60,246,142,86,18,11,123,88,232,140,86,195,174,175,3,88,
-  79,240,27,128,236,169,129,56,53,194,126,61,132,225,0,234,35,93,84,170,154,216,242,185,207,56,71,105,124,247,168,222,
-  27,79,119,177,251,85,204,153,125,151,93,177,17,82,181,206,54,43,47,0,180,255,212,209,156,81,140,14,141,171,247,86,
-  141,147,53,234,233,78,20,226,60,240,140,185,215,92,12,148,200,151,179,191,215,25,84,255,190,100,98,130,220,39,107,200,
-  154,96,54,241,198,250,58,130,124,211,154,108,93,133,235,11,50,70,100,84,131,155,87,50,139,102,186,65,248,203,231,39,
-  1,100,111,209,200,239,230,29,248,29,177,52,128,167,94,81,14,128,166,199,219,191,211,116,82,211,165,208,105,86,189,55,
-  234,253,6,124,152,183,52,239,28,224,182,146,172,171,64,112,62,149,50,252,30,129,32,254,134,160,121,228,1,247,169,20,
-  149,2,86,79,179,166,89,7,124,199,61,95,187,223,3,175,219,181,202,253,46,152,63,120,127,247,46,6,185,220,106,97,
-  181,7,154,170,154,210,0,101,169,226,100,2,95,107,234,145,186,159,230,170,62,48,139,34,34,3,8,227,29,38,1,231,
-  185,160,14,2,101,168,32,26,2,33,52,34,4,48,200,32,19,56,194,10,117,30,112,241,133,152,10,226,68,112,255,160,
-  22,224,120,58,236,221,176,158,224,108,30,57,46,226,9,16,67,229,50,181,8,28,45,189,175,120,215,128,104,105,213,181,
-  122,2,129,92,183,65,50,103,33,237,235,218,94,12,85,69,85,49,176,98,205,9,230,83,96,205,241,238,242,61,7,57,
-  207,123,102,121,194,224,140,59,233,139,164,231,64,83,19,249,27,165,76,1,108,234,164,129,152,172,215,249,193,254,125,22,
-  64,251,69,194,4,40,122,165,126,72,141,129,53,63,131,176,151,157,147,2,222,7,86,152,175,230,46,3,202,170,55,117,
-  175,35,178,201,254,7,215,133,45,174,2,93,233,6,32,70,10,189,230,158,68,55,210,109,47,244,158,189,83,237,4,114,
-  212,21,117,25,120,92,62,39,31,7,181,218,183,213,183,8,172,115,238,231,220,143,130,111,65,78,189,236,34,144,147,158,
-  18,120,187,45,228,5,166,45,79,253,16,78,205,188,153,116,179,7,164,171,188,83,121,179,65,132,21,252,126,55,108,197,
-  178,157,47,161,215,249,198,173,191,223,219,135,112,95,21,219,189,180,153,22,70,67,128,78,109,29,197,248,138,175,66,60,
-  181,147,227,234,196,213,129,128,133,158,108,79,54,152,211,205,147,230,73,52,225,94,83,238,203,228,43,120,222,91,43,161,
-  71,166,221,159,46,80,251,25,86,7,21,166,194,64,229,178,136,69,144,16,234,158,239,158,15,153,39,204,112,51,28,68,
-  42,63,242,35,186,14,140,27,215,181,221,221,253,185,159,202,187,254,57,127,224,113,5,224,66,127,14,1,220,58,112,109,
-  217,181,163,215,142,70,146,253,99,182,39,219,3,81,68,31,137,62,82,192,111,255,159,59,108,138,149,218,173,118,195,254,
-  249,251,179,246,103,65,94,185,60,149,167,160,166,25,249,117,228,215,16,120,84,119,190,150,57,28,210,247,196,126,14,45,
-  245,130,48,147,213,4,53,1,214,100,231,172,200,89,1,121,183,101,47,217,11,122,166,70,12,141,24,10,161,55,141,95,
-  141,95,65,149,213,170,43,56,255,73,0,98,103,62,212,104,29,176,4,117,21,229,69,121,184,127,120,196,23,17,95,192,
-  45,203,156,106,78,133,141,51,54,198,109,140,131,114,43,203,69,149,139,130,71,122,14,156,50,112,10,136,149,254,90,28,
-  29,8,241,191,191,241,160,127,34,30,230,48,92,13,190,242,229,149,47,33,247,122,238,236,220,217,36,10,141,72,111,215,
-  141,168,228,41,157,21,58,243,10,141,109,135,123,205,159,188,171,95,143,60,23,32,224,23,245,29,64,151,248,224,112,231,
-  99,206,199,72,174,93,187,196,161,18,135,64,60,154,215,45,175,27,208,216,107,121,45,96,186,205,81,13,47,36,36,219,
-  191,233,92,210,148,11,181,81,83,172,228,114,229,80,14,112,239,147,117,101,93,56,187,216,181,215,181,23,100,130,29,8,
-  55,205,207,148,0,187,123,107,36,234,218,1,59,176,138,225,224,61,182,83,31,21,68,152,99,30,151,23,0,218,221,142,
-  185,20,154,22,154,70,169,106,101,99,234,198,212,5,89,52,187,66,118,5,96,181,89,211,172,9,124,33,154,137,102,64,
-  99,177,34,159,230,230,199,136,35,64,117,86,55,212,53,80,233,222,133,222,249,32,175,122,167,121,63,5,182,102,229,100,
-  173,5,86,36,53,96,31,208,84,84,21,63,129,120,85,148,23,59,65,220,118,14,115,142,6,49,48,176,66,96,3,48,
-  30,10,126,37,100,61,136,227,193,190,224,98,224,235,100,212,52,58,64,198,7,166,50,43,195,169,170,55,43,220,56,3,
-  60,109,127,122,185,130,243,97,107,119,81,30,32,117,176,242,55,142,42,6,208,112,159,218,9,80,181,75,245,41,85,206,
-  87,41,15,113,3,138,254,92,116,53,168,228,172,250,89,101,65,56,228,247,114,14,32,40,110,59,105,254,204,128,117,143,
-  228,81,239,200,180,41,175,188,79,118,3,179,182,111,132,183,61,168,254,230,18,51,7,110,140,204,124,43,163,41,220,248,
-  45,125,91,122,44,136,119,169,74,121,96,38,64,158,71,55,196,218,216,74,12,42,56,239,98,115,85,44,64,169,41,197,
-  122,199,188,89,228,115,158,141,106,21,218,56,244,15,224,49,247,1,183,150,49,253,213,174,135,42,108,213,61,149,223,101,
-  58,0,68,99,81,68,20,3,199,44,199,121,71,14,68,95,13,187,63,124,38,52,106,91,103,93,157,17,112,97,198,213,
-  43,87,19,192,114,82,158,10,161,150,238,134,252,37,226,73,128,244,226,90,62,215,221,73,35,249,158,80,173,82,102,246,
-  18,181,1,124,251,181,163,101,110,215,136,190,217,82,23,98,250,218,234,53,110,126,228,59,3,96,198,213,84,0,102,181,
-  27,15,2,152,145,93,198,0,152,97,218,25,48,163,116,97,184,121,69,12,6,80,151,228,109,128,7,219,20,153,21,121,
-  42,50,25,106,141,169,28,84,185,14,176,199,219,200,215,18,232,40,15,200,183,128,128,124,199,252,63,167,142,247,103,153,
-  177,115,108,102,51,200,171,150,215,242,129,111,178,247,176,103,46,72,97,29,176,206,195,233,118,73,19,110,101,131,107,142,
-  57,200,140,4,99,69,193,76,199,153,53,26,96,56,186,85,59,137,245,59,201,58,0,195,190,43,213,38,246,203,216,101,
-  68,63,244,67,135,122,29,151,65,224,15,214,247,86,18,112,197,236,101,246,1,202,243,189,93,96,127,175,2,14,61,255,
-  125,54,5,57,84,125,169,102,128,47,203,235,242,230,129,167,125,110,104,206,113,112,247,200,181,114,87,129,101,121,165,175,
-  8,228,86,243,244,247,12,130,228,155,57,211,178,135,67,230,41,215,171,238,218,224,41,98,125,107,206,5,115,179,220,42,
-  43,130,117,70,78,80,21,65,134,168,90,170,2,200,92,181,86,93,2,185,78,189,41,127,0,89,94,238,87,247,131,236,
-  173,130,212,89,80,29,84,162,74,2,217,65,213,86,69,65,190,198,56,245,41,168,38,206,104,231,124,112,164,71,238,141,
-  156,4,77,35,154,247,108,222,21,170,205,40,30,83,98,21,208,206,108,104,182,2,164,165,44,127,173,135,188,107,15,40,
-  140,192,243,103,25,46,35,192,124,212,219,222,91,31,228,43,214,36,235,123,184,62,51,163,86,70,0,220,124,58,99,113,
-  198,38,16,141,40,206,79,254,192,51,199,38,220,109,234,98,247,136,64,7,236,193,94,117,17,160,243,142,240,47,66,138,
-  132,84,131,250,35,226,35,227,219,1,3,205,15,204,175,129,230,178,185,236,11,24,162,130,182,169,52,18,122,111,254,89,
-  45,2,110,169,125,106,55,48,210,26,97,13,2,117,206,92,101,254,0,242,97,111,115,111,36,200,131,238,163,238,169,96,
-  245,203,187,145,215,11,44,149,27,149,251,58,88,222,220,196,156,181,96,13,203,11,201,219,12,242,72,222,195,121,239,128,
-  181,216,29,224,142,4,223,98,207,27,158,25,144,247,155,183,186,119,41,120,66,172,69,86,125,56,113,60,101,79,74,89,
-  48,187,171,251,213,44,112,236,41,184,143,237,91,161,101,114,19,154,253,5,57,154,255,152,81,107,99,187,129,79,0,68,
-  47,87,167,1,218,237,139,174,27,18,21,18,5,213,66,162,87,69,175,2,89,55,123,114,246,100,80,19,229,3,242,1,
-  32,167,208,50,231,126,191,65,207,147,93,186,79,146,28,162,90,170,150,96,93,82,23,212,5,240,117,145,187,228,46,56,
-  219,211,181,212,181,20,172,33,58,224,48,58,23,100,90,236,111,160,22,3,36,52,183,3,214,85,126,16,197,169,229,207,
-  110,109,215,41,166,179,75,82,54,38,39,38,39,86,123,45,177,245,205,39,110,62,1,81,196,60,31,243,60,128,53,197,
-  154,242,63,217,95,213,29,202,51,182,167,205,74,155,5,251,206,237,221,179,119,15,68,181,212,142,64,252,185,192,209,129,
-  163,129,153,188,202,171,96,151,92,254,237,236,0,173,242,149,241,162,213,194,106,1,187,55,187,58,185,58,65,218,37,107,
-  170,53,21,130,110,25,169,70,42,244,188,22,190,57,124,51,56,70,136,39,196,19,160,126,180,251,128,252,179,96,192,95,
-  251,241,43,187,217,13,49,167,29,125,28,125,160,111,197,72,25,41,225,251,93,233,203,211,151,195,34,231,207,227,126,30,
-  7,101,210,203,156,44,115,18,90,209,238,120,187,227,0,118,255,8,200,209,232,220,255,218,97,111,88,114,139,220,2,231,
-  230,158,77,63,155,14,102,168,122,74,61,197,66,135,70,102,126,215,78,74,230,123,122,194,159,9,176,157,150,63,239,133,
-  93,182,96,164,95,113,138,122,19,160,233,130,146,115,162,62,139,250,12,202,199,68,52,142,104,12,214,144,164,43,73,87,
-  128,111,172,165,214,82,32,52,159,242,86,56,148,68,63,197,106,17,167,56,5,178,152,138,83,113,32,163,105,72,67,72,
-  173,232,251,205,247,27,92,243,121,78,123,78,23,104,116,151,3,96,93,212,223,103,93,71,173,58,34,99,214,109,45,164,
-  167,146,156,31,222,3,117,238,215,65,112,141,110,149,38,20,75,41,150,194,177,184,44,189,190,100,59,87,3,87,3,80,
-  219,229,14,185,3,112,252,41,149,68,27,190,64,59,67,80,92,244,21,253,64,235,163,3,77,68,71,209,245,239,29,83,
-  213,150,120,170,128,202,242,29,242,29,4,82,124,223,249,102,129,245,72,78,233,156,203,96,62,40,143,200,195,224,57,32,
-  227,229,72,184,60,197,245,162,235,69,184,222,46,189,125,122,42,136,55,109,156,121,46,128,123,161,54,238,27,63,87,54,
-  173,81,217,193,145,40,9,208,249,97,199,105,58,208,46,164,122,189,179,149,163,170,84,4,231,112,215,169,188,181,160,142,
-  101,189,151,117,24,56,226,251,206,183,18,196,14,163,190,81,27,104,99,124,102,55,171,91,163,11,213,169,36,180,86,214,
-  73,117,194,158,187,218,201,91,164,85,121,212,31,246,103,238,181,251,13,220,176,179,121,126,164,80,207,187,43,218,110,200,
-  84,171,138,85,5,204,105,158,141,222,185,32,99,229,48,249,44,156,62,118,235,147,36,39,228,14,240,85,245,121,192,120,
-  62,223,238,0,231,178,52,53,238,240,163,54,135,249,45,61,167,227,102,107,213,195,168,225,113,51,98,100,76,36,4,189,
-  235,220,234,60,1,204,145,113,50,21,120,142,115,156,179,115,107,145,255,146,245,239,192,1,162,154,154,167,54,130,115,159,
-  236,172,106,128,35,155,46,106,43,244,91,119,223,133,110,223,66,216,144,176,150,97,49,112,120,220,73,113,178,171,227,235,
-  140,234,153,237,51,171,86,193,181,203,115,208,179,13,204,162,230,56,243,69,150,201,26,214,75,242,57,144,113,170,187,236,
-  197,36,89,95,14,149,253,64,214,144,67,213,16,170,203,251,212,123,242,61,70,169,203,202,82,62,80,197,84,61,85,159,
-  183,84,53,213,70,53,3,85,143,54,180,5,170,171,86,170,37,168,154,170,189,106,11,170,146,234,160,58,130,170,74,107,
-  154,129,90,164,90,168,150,64,170,250,89,45,128,234,49,21,255,168,116,25,74,109,143,233,25,83,4,152,232,74,116,91,
-  192,40,245,182,122,27,128,97,12,45,68,164,123,188,170,174,226,193,26,234,235,232,107,2,102,31,239,31,190,86,224,42,
-  225,235,226,189,4,103,242,110,181,188,245,41,127,171,117,106,84,16,241,222,122,91,205,2,200,186,169,183,181,145,223,27,
-  151,152,204,228,210,21,186,79,111,213,162,245,107,80,254,76,204,206,152,190,192,249,220,25,185,223,0,85,185,174,123,25,
-  228,215,108,220,171,161,51,66,99,85,5,85,1,204,206,222,55,189,19,193,37,179,183,103,127,14,238,97,217,31,101,47,
-  135,188,27,238,61,238,171,112,112,194,245,126,215,234,194,246,119,46,140,189,16,12,87,27,166,47,77,47,10,158,22,190,
-  26,190,215,192,186,95,165,170,113,160,114,85,31,53,18,216,202,103,148,5,254,208,246,87,173,33,157,28,160,38,240,2,
-  176,221,150,136,248,33,31,32,210,118,98,137,253,122,19,240,20,249,13,41,173,151,244,106,241,164,25,151,29,37,161,230,
-  218,222,102,239,241,96,52,83,143,169,209,64,50,239,235,94,39,133,198,96,208,192,199,121,182,177,13,164,199,186,109,221,
-  6,223,91,222,45,158,165,32,87,90,219,172,253,112,122,213,45,227,214,75,224,146,102,113,51,26,140,13,5,129,210,211,
-  129,122,30,28,127,45,31,141,190,9,80,85,202,71,0,26,117,43,215,177,212,164,82,51,241,148,191,22,251,118,108,71,
-  144,15,102,28,207,8,3,25,158,62,38,125,4,200,233,238,178,174,12,176,94,204,219,238,26,9,178,115,94,217,188,217,
-  96,213,204,91,150,251,18,88,253,242,190,201,187,9,50,199,253,142,123,54,200,91,158,218,158,210,32,215,248,220,190,91,
-  64,25,115,181,185,12,212,167,234,49,53,24,56,167,198,169,63,128,195,252,204,8,224,93,49,86,244,6,21,66,38,89,
-  96,30,181,62,176,62,2,245,8,67,25,10,25,45,172,221,214,110,72,120,220,115,201,147,0,134,191,201,105,125,0,101,
-  35,245,235,22,105,97,37,95,108,190,147,191,232,30,63,141,243,5,95,212,94,47,127,0,168,241,104,197,103,98,114,98,
-  114,32,238,11,231,33,231,33,144,120,190,243,124,7,100,171,250,170,62,224,32,229,63,45,120,244,111,91,89,61,79,190,
-  83,59,213,78,144,157,212,52,53,13,100,53,213,70,181,129,140,106,86,107,171,53,36,44,119,239,114,239,2,97,49,134,
-  49,254,76,17,207,235,0,99,67,186,232,0,224,27,193,212,187,39,97,39,0,207,123,98,25,192,254,134,57,199,115,183,
-  231,110,239,197,89,117,182,230,217,154,16,79,237,39,107,63,121,7,226,244,63,13,81,183,145,69,99,151,177,11,142,141,
-  57,186,238,232,58,72,184,150,224,73,240,64,195,113,193,13,131,27,66,241,86,206,125,206,125,160,246,232,13,252,239,2,
-  143,56,234,82,23,18,7,152,9,102,2,100,111,181,230,91,243,129,6,148,162,20,108,46,145,251,108,238,179,80,92,56,
-  76,135,9,205,147,67,203,135,150,7,188,182,131,144,242,23,17,206,0,59,0,105,167,85,60,42,183,9,108,18,216,4,
-  250,188,25,121,44,242,24,252,180,35,35,43,35,11,102,61,58,107,232,172,161,16,155,84,188,108,241,178,80,173,120,141,
-  21,53,86,0,88,179,172,89,133,146,162,255,239,18,64,46,21,75,33,247,106,78,173,156,90,112,246,216,153,236,51,217,
-  192,167,0,170,163,118,230,68,125,205,123,76,8,214,200,92,194,46,219,136,231,178,246,46,42,132,159,151,94,52,63,172,
-  1,90,206,80,11,1,74,59,106,150,41,185,176,228,66,136,12,80,189,85,111,48,143,186,154,185,154,129,122,78,78,144,
-  19,0,195,14,84,11,19,123,112,130,122,82,205,87,243,65,62,164,27,194,201,33,106,128,26,0,151,54,187,211,220,105,
-  144,185,223,154,110,77,7,141,172,98,55,80,188,254,152,70,40,119,187,10,73,49,132,251,62,183,1,14,187,83,177,232,
-  4,208,241,19,99,60,78,156,225,199,106,215,47,217,188,100,115,8,204,246,86,244,86,4,95,29,79,103,79,103,192,75,
-  115,154,3,33,118,32,249,159,79,167,106,187,20,64,17,138,0,69,69,39,209,25,40,101,35,241,59,104,70,11,144,99,
-  197,88,49,22,228,38,134,50,2,46,132,185,119,187,247,65,222,44,185,64,46,180,251,89,228,207,131,11,145,186,49,224,
-  161,48,191,19,32,222,6,40,250,172,60,10,208,126,67,209,239,195,110,132,37,82,189,226,104,199,22,99,0,100,254,188,
-  235,218,174,230,32,95,189,190,230,186,19,196,73,249,158,122,11,28,253,66,122,5,55,0,99,92,72,72,200,75,224,248,
-  50,100,118,104,93,48,158,13,9,10,137,7,163,82,240,209,224,166,96,92,11,74,10,50,193,152,22,176,43,96,63,136,
-  118,1,83,2,62,0,113,211,209,205,241,16,240,137,81,195,168,14,212,55,250,27,131,0,193,66,126,6,126,231,99,166,
-  129,85,207,170,98,149,7,179,151,175,138,175,40,228,85,241,254,228,157,3,167,22,221,234,150,56,7,104,6,108,36,95,
-  240,82,207,143,109,53,172,203,0,41,169,142,82,5,111,105,209,207,180,34,74,224,250,232,147,145,43,34,247,128,99,63,
-  251,153,6,52,87,219,85,46,16,144,15,116,20,174,154,219,221,142,243,253,124,196,167,96,124,108,102,154,81,160,218,228,
-  206,204,59,12,81,239,132,46,11,13,129,254,183,59,175,235,18,0,125,74,118,24,208,97,62,184,167,121,211,188,30,240,
-  46,240,61,105,254,2,190,222,230,25,115,4,88,13,172,94,102,26,88,211,165,146,78,144,47,201,227,170,46,88,3,228,
-  10,217,9,228,211,178,174,220,11,86,130,156,106,61,14,214,0,107,164,92,11,242,49,185,93,190,8,214,23,178,147,60,
-  7,210,41,189,214,78,176,218,203,87,229,14,144,223,202,28,185,18,172,246,86,186,124,30,228,99,210,148,41,32,139,169,
-  21,114,50,84,238,85,170,113,169,88,8,153,105,69,202,210,64,7,239,167,222,31,128,24,117,94,157,251,27,34,93,8,
-  72,183,68,130,218,46,107,202,154,96,190,224,235,233,109,10,170,138,185,208,236,5,55,127,202,90,150,181,7,174,221,151,
-  62,36,189,35,136,175,152,195,68,208,178,184,110,161,27,131,174,31,34,34,1,170,183,149,233,0,15,84,45,95,180,228,
-  186,146,167,161,131,108,152,216,48,5,40,229,249,208,51,30,200,146,217,82,7,47,46,155,220,119,79,3,80,146,184,198,
-  53,144,46,43,214,138,3,79,227,188,199,242,58,130,219,202,113,231,108,128,140,233,57,165,115,218,195,146,158,71,140,195,
-  149,96,87,228,165,189,151,146,193,147,36,107,202,90,96,76,183,111,206,106,222,225,29,200,87,101,138,224,61,222,47,144,
-  109,176,179,121,249,50,161,119,7,5,126,158,189,157,105,22,99,238,160,172,120,57,169,125,40,199,167,226,162,184,74,80,
-  229,185,101,122,148,254,29,140,81,214,19,214,21,96,161,172,43,117,230,240,150,174,151,201,87,177,252,123,142,132,113,71,
-  134,177,184,13,198,148,215,202,141,182,93,69,116,19,186,107,68,95,45,40,98,119,90,71,52,17,77,128,57,242,146,188,
-  12,214,171,230,105,115,31,88,189,189,169,190,73,144,103,122,219,122,158,130,83,231,110,125,153,56,7,168,103,103,51,252,
-  20,90,15,192,150,214,60,1,144,54,47,191,203,120,20,64,219,4,49,3,32,110,95,141,37,69,119,21,93,6,106,209,
-  113,231,177,15,33,109,246,165,239,46,61,9,114,103,102,177,172,138,160,110,154,63,249,230,128,170,42,39,201,155,192,167,
-  154,137,194,13,53,75,165,1,22,21,136,4,70,137,69,194,3,148,97,4,247,1,167,121,152,135,129,189,162,190,104,0,
-  56,69,164,136,4,218,139,87,196,107,127,99,144,144,102,83,147,119,201,35,242,24,200,162,234,160,58,168,249,46,106,55,
-  36,72,207,171,158,87,33,163,177,206,188,231,247,155,48,1,110,117,212,207,96,71,184,127,95,250,83,166,196,127,112,116,
-  181,1,64,101,247,187,17,205,0,58,124,109,92,3,136,252,162,214,244,184,122,113,245,32,232,67,239,113,239,113,48,175,
-  232,142,224,44,212,170,82,56,40,77,233,194,112,175,242,159,179,86,15,44,202,4,38,128,213,68,57,149,19,148,79,55,
-  196,190,82,217,253,139,251,23,72,235,110,110,54,55,131,184,131,98,154,116,86,175,135,29,219,253,207,99,93,195,187,157,
-  154,107,246,79,141,1,118,245,148,207,1,228,205,57,126,223,177,57,199,230,132,14,235,185,164,87,241,94,197,193,49,201,
-  241,184,227,113,0,157,162,253,31,228,168,190,44,94,6,111,146,251,154,251,26,108,78,219,148,182,41,13,212,102,109,215,
-  27,26,17,57,17,57,16,208,74,152,194,4,235,208,93,6,210,223,135,227,37,93,213,127,245,132,239,146,239,18,152,125,
-  69,107,209,26,90,183,108,21,214,42,12,78,204,61,217,255,100,127,88,94,46,179,115,102,103,40,246,142,179,142,179,14,
-  84,237,16,216,43,176,23,200,114,44,99,25,255,156,122,69,254,194,177,176,64,57,53,210,210,248,183,224,149,193,43,33,
-  165,92,248,150,240,45,176,178,250,141,167,110,60,5,223,14,250,106,243,87,155,97,124,212,107,174,215,92,16,247,107,137,
-  91,37,110,1,200,56,25,87,96,163,254,95,51,140,217,198,108,184,241,240,245,121,215,231,193,181,79,174,237,188,182,19,
-  140,79,180,93,215,41,62,97,27,144,67,159,138,8,128,180,32,213,202,62,253,253,187,222,174,130,125,60,3,224,216,167,
-  85,152,186,14,11,110,237,152,224,152,96,28,171,189,162,228,15,37,127,0,49,200,117,214,117,22,120,67,103,24,120,207,
-  86,39,114,22,210,253,245,27,208,36,219,81,216,169,250,170,190,96,53,80,9,42,1,188,243,229,99,242,49,56,147,227,
-  250,218,245,53,200,72,142,112,4,140,182,5,145,201,61,61,52,101,232,202,109,123,99,60,124,207,83,197,39,237,101,242,
-  14,64,196,20,45,72,209,97,73,228,224,224,151,131,95,134,248,135,139,237,44,182,19,228,147,185,93,114,187,0,221,205,
-  99,230,49,224,37,61,175,81,148,43,148,206,221,127,227,168,234,235,12,97,48,131,65,206,82,101,84,25,112,61,42,119,
-  202,157,112,174,180,171,186,171,58,40,91,118,88,148,202,135,43,128,29,27,85,17,128,91,175,136,131,54,126,89,30,160,
-  94,13,157,133,136,87,149,23,197,205,137,155,3,113,95,132,236,8,217,14,230,79,215,134,95,235,5,242,139,219,31,220,
-  158,12,170,140,47,215,183,18,120,154,233,36,2,146,210,148,1,190,18,243,196,64,16,195,196,112,241,56,240,179,99,149,
-  227,69,16,202,241,180,99,28,136,179,1,207,7,44,3,227,187,192,107,129,1,96,156,10,156,24,52,9,140,233,193,109,
-  130,30,2,163,98,208,238,224,198,96,212,11,22,193,139,65,172,10,242,6,126,9,158,149,214,90,171,33,120,223,113,141,
-  118,207,128,27,99,51,54,101,44,134,107,221,210,86,164,253,12,226,67,234,80,9,88,13,224,169,170,41,4,235,239,119,
-  196,217,121,30,43,63,127,4,132,47,208,141,173,156,209,161,71,67,60,33,73,76,102,190,16,34,4,72,19,199,197,1,
-  192,41,82,109,65,7,59,131,163,14,41,125,175,252,53,114,151,116,143,7,91,237,228,111,162,24,126,181,38,249,207,36,
-  174,255,161,3,109,216,118,250,41,217,91,246,1,113,202,115,197,115,11,216,111,70,152,149,128,21,206,173,78,47,132,124,
-  230,60,229,136,130,144,119,140,70,142,58,192,16,39,206,86,64,100,192,54,231,66,96,13,186,49,39,98,145,152,11,252,
-  33,86,217,215,61,88,252,4,28,16,35,109,105,232,177,226,41,27,162,24,11,124,41,222,215,117,48,52,22,143,1,163,
-  120,94,231,202,196,97,241,44,240,28,67,232,5,32,202,50,3,72,162,135,86,159,145,215,228,124,96,181,103,143,231,20,
-  16,153,219,58,247,6,48,192,10,180,130,128,176,252,126,6,247,186,104,84,35,152,167,216,197,46,176,78,89,117,173,250,
-  96,86,247,252,226,157,5,178,147,252,86,254,6,103,39,39,125,147,252,11,228,126,234,237,228,77,7,225,201,207,43,0,
-  23,74,235,86,137,135,187,105,251,52,122,2,75,0,202,148,111,59,164,81,112,163,154,80,124,67,248,71,225,111,0,103,
-  114,75,228,150,7,226,233,111,223,191,178,118,86,249,94,113,182,181,90,209,76,245,140,122,6,172,229,190,107,190,75,224,
-  57,233,122,218,245,0,120,118,121,26,121,186,194,138,1,39,54,156,232,4,91,207,94,88,127,161,55,176,158,161,44,0,
-  199,240,130,142,166,111,151,150,97,63,123,70,127,207,115,181,117,230,47,43,69,127,79,207,50,93,76,237,77,215,52,73,
-  179,139,118,246,205,190,154,49,98,61,164,243,30,86,168,238,233,97,253,96,255,126,162,94,95,81,55,228,42,128,17,15,
-  21,95,18,51,49,102,70,244,200,154,37,43,126,84,233,42,128,239,43,95,34,208,138,93,90,81,78,76,20,186,246,161,
-  150,86,245,195,167,116,22,242,132,221,166,242,73,70,3,41,170,188,42,3,124,41,31,144,61,64,61,43,15,202,45,64,
-  41,235,61,235,105,144,199,125,223,251,190,0,245,130,111,148,239,17,144,83,188,253,188,209,160,58,123,39,121,43,128,217,
-  203,245,137,171,36,228,125,144,185,44,227,99,200,123,52,99,70,230,215,112,105,69,250,146,180,47,225,250,206,180,117,105,
-  239,130,248,216,190,79,179,1,92,131,244,253,216,48,71,7,162,60,161,123,64,4,122,245,35,237,90,42,164,98,64,84,
-  64,20,41,181,154,197,172,139,153,11,102,175,196,7,19,251,128,213,40,125,87,250,143,160,22,248,206,249,102,0,53,120,
-  132,251,129,60,241,146,120,22,232,41,226,116,22,89,188,46,222,250,135,207,123,6,95,221,113,252,199,84,35,167,29,152,
-  173,213,246,71,54,208,128,136,21,174,54,171,205,96,117,80,161,42,20,206,190,155,183,32,111,1,152,87,180,61,49,252,
-  217,115,55,192,129,38,186,158,249,98,174,77,177,186,231,251,166,46,124,7,17,4,16,150,172,34,1,58,252,24,241,78,
-  208,163,65,143,66,252,184,34,165,139,148,6,181,60,111,92,222,56,80,137,114,156,28,7,228,230,247,119,41,156,4,128,
-  97,191,239,41,178,200,2,249,129,206,36,90,41,234,132,58,1,102,140,178,148,5,103,3,117,77,169,249,0,47,240,2,
-  24,254,150,27,18,224,144,79,83,186,207,127,104,211,138,159,253,251,199,20,92,112,163,62,190,81,211,23,206,111,59,243,
-  232,233,55,78,191,81,143,164,218,183,26,220,106,0,165,38,149,125,169,236,75,0,178,167,46,168,252,111,63,108,196,200,
-  168,104,84,132,51,63,157,62,121,250,36,28,110,118,248,217,195,207,66,197,87,3,86,5,172,130,106,55,3,219,4,182,
-  1,249,26,27,216,80,192,225,243,223,22,187,152,220,251,186,82,74,193,229,71,188,57,222,28,8,25,19,186,33,116,3,
-  60,156,55,224,224,128,131,80,103,252,169,185,167,230,194,204,38,51,139,204,44,2,191,126,148,245,65,214,7,48,178,65,
-  145,95,138,252,2,197,6,58,218,59,218,131,252,156,237,108,39,159,90,245,207,28,39,181,88,115,125,141,253,98,164,24,
-  9,157,122,132,253,30,246,59,220,206,181,126,179,126,131,93,149,142,119,56,222,1,102,57,191,109,244,109,35,24,155,245,
-  130,245,130,5,17,145,145,27,35,55,2,200,89,114,86,1,67,253,63,56,213,97,223,147,34,20,129,163,187,142,94,57,
-  122,5,178,71,103,223,206,190,205,183,66,75,64,47,215,155,181,108,170,233,40,219,210,52,7,95,157,147,141,255,228,93,
-  253,78,111,69,128,114,134,154,12,208,188,103,241,158,145,175,70,190,10,21,147,34,123,71,246,6,235,183,148,248,148,120,
-  80,13,204,239,205,239,129,20,27,33,163,144,144,7,191,1,221,96,27,208,246,218,128,202,117,90,132,32,245,9,179,163,
-  217,17,174,214,245,172,247,172,7,81,163,224,194,87,118,56,181,238,168,14,168,204,232,252,0,235,94,143,91,5,63,183,
-  198,8,249,33,64,237,210,229,138,197,188,19,243,14,148,136,8,18,65,2,228,154,212,93,169,187,64,109,149,167,228,41,
-  192,44,52,181,158,59,239,223,30,174,115,29,228,19,118,191,19,169,59,215,38,23,247,78,242,78,130,27,63,120,124,30,
-  31,136,7,117,231,102,45,58,224,123,94,23,73,174,127,77,172,176,81,197,241,246,251,78,0,232,244,136,227,12,193,4,
-  135,21,173,179,188,220,185,114,231,32,176,189,53,198,122,26,188,215,115,186,229,116,7,229,150,91,229,86,32,213,120,211,
-  120,19,48,238,226,234,43,27,88,56,194,114,86,0,121,230,69,243,34,168,72,115,143,185,7,216,228,9,247,36,129,21,
-  202,9,150,0,229,213,81,187,19,243,56,18,128,96,14,48,0,56,42,94,23,19,65,166,168,197,170,33,184,215,170,190,
-  170,62,248,94,81,223,170,215,225,104,151,140,199,50,126,135,156,249,222,218,222,178,32,150,218,159,31,3,112,97,140,174,
-  133,58,208,197,94,91,115,217,81,48,240,114,188,169,255,46,188,140,246,52,243,148,7,51,37,245,106,234,207,192,35,89,
-  221,179,154,130,168,33,78,139,51,32,178,29,219,29,63,130,56,237,8,114,100,2,179,28,3,29,189,65,76,55,34,141,
-  88,224,113,241,156,120,1,104,36,82,68,10,16,34,246,138,3,182,243,242,132,77,114,104,0,32,106,138,154,5,3,19,
-  117,67,221,0,224,134,118,204,108,217,94,131,163,28,5,138,112,146,19,64,43,91,252,164,133,229,182,220,192,23,214,8,
-  107,4,144,226,217,69,103,192,39,30,19,229,128,171,132,211,24,72,231,17,38,2,135,185,72,29,64,48,138,169,192,85,
-  49,95,196,2,145,140,164,60,112,139,26,172,1,154,83,129,209,192,94,118,145,6,100,51,134,35,64,35,42,50,1,216,
-  67,73,234,3,150,56,37,158,7,138,177,144,235,192,45,198,48,11,112,16,206,4,32,86,229,170,120,160,157,122,83,77,
-  0,90,202,47,101,83,32,210,166,216,137,66,83,169,209,0,201,52,213,89,117,6,185,200,252,222,252,18,204,82,222,190,
-  222,231,193,157,236,235,232,107,15,39,127,73,236,157,120,18,164,23,72,7,199,200,130,64,200,118,75,103,134,229,91,114,
-  62,64,239,9,49,237,34,203,69,86,135,150,47,215,9,173,211,13,40,238,155,230,91,4,4,202,5,250,127,116,160,243,
-  31,8,56,254,108,127,244,35,254,197,40,6,234,41,85,94,85,0,243,69,115,140,57,8,228,235,190,55,125,111,192,249,
-  129,41,19,146,187,195,142,210,151,174,95,220,14,228,114,141,5,32,166,20,180,87,151,98,116,0,241,241,83,186,214,245,
-  183,120,157,41,190,125,218,170,5,96,237,83,154,249,240,125,49,187,35,247,98,157,213,243,119,113,120,234,79,174,189,84,
-  215,186,5,51,33,157,143,171,247,0,158,28,91,173,120,185,251,203,13,96,100,177,183,3,127,8,168,4,230,230,219,129,
-  183,235,129,242,229,214,207,45,6,106,145,239,21,95,109,144,239,123,63,243,190,10,234,81,175,203,59,6,100,31,239,82,
-  239,15,32,203,123,222,244,148,3,89,207,219,219,83,25,212,47,158,49,222,39,64,134,123,171,121,21,168,48,95,130,247,
-  115,144,199,124,253,125,51,64,181,54,111,153,165,65,165,88,143,88,63,0,74,198,202,170,96,126,107,93,182,4,184,247,
-  152,15,152,23,193,87,75,186,228,2,56,245,102,198,206,140,241,144,87,221,252,208,252,4,68,245,130,25,158,243,219,116,
-  118,243,72,151,124,202,235,85,128,202,243,212,103,0,141,95,43,93,62,186,119,116,111,40,215,44,188,85,120,43,144,91,
-  146,94,73,122,5,212,69,249,171,92,14,36,10,37,20,96,240,182,29,96,223,91,224,206,238,203,162,158,82,223,169,239,
-  64,142,147,189,101,111,144,163,233,68,39,200,232,99,85,180,42,194,229,215,61,107,60,107,32,95,141,235,1,251,168,27,
-  236,90,60,10,224,89,174,252,162,10,123,238,241,106,204,44,120,95,171,23,145,95,1,212,13,45,187,35,250,213,232,87,
-  161,84,171,192,95,3,127,5,235,102,122,157,244,58,64,130,102,58,80,220,166,180,170,66,219,55,53,64,49,67,247,37,
-  147,227,213,84,53,21,36,170,151,234,5,89,175,155,131,204,65,112,249,180,251,130,251,66,129,251,50,54,159,177,3,108,
-  176,116,0,239,126,86,249,27,138,254,113,215,199,168,57,246,243,186,4,144,188,211,104,14,176,101,220,237,115,41,34,69,
-  212,155,122,220,115,172,225,177,134,80,138,114,153,229,50,11,82,151,254,187,171,40,137,190,162,47,88,99,188,191,120,127,
-  129,117,158,53,113,107,226,32,111,93,238,23,185,95,64,179,31,163,68,148,128,176,146,70,166,145,9,50,86,59,40,127,
-  247,46,165,168,79,125,72,107,99,5,88,1,112,253,59,175,195,235,128,210,241,21,126,169,240,11,148,61,86,54,173,108,
-  26,84,126,183,74,116,149,104,72,216,146,240,82,194,75,240,135,99,213,129,85,7,224,247,155,217,197,178,139,193,192,82,
-  81,191,70,253,10,65,107,117,199,116,213,67,247,19,248,167,247,208,206,144,168,70,118,227,193,230,198,72,99,36,60,112,
-  33,226,225,136,135,33,115,136,213,223,234,15,91,38,111,189,188,245,50,68,111,137,222,17,189,3,70,182,24,253,225,232,
-  15,33,56,54,184,120,112,113,0,149,172,146,109,236,234,127,36,5,75,124,42,62,5,247,236,220,25,185,51,224,224,171,
-  251,103,237,159,5,242,35,0,181,215,113,3,192,216,161,131,205,235,159,107,196,127,111,188,205,43,222,181,225,190,187,82,
-  157,254,251,30,93,16,209,107,49,82,61,9,80,174,104,252,190,18,65,37,130,32,106,143,152,47,230,131,124,197,53,193,
-  53,1,56,33,27,201,70,104,61,184,194,229,180,107,3,58,202,54,160,111,202,1,114,0,200,97,90,119,254,242,53,119,
-  128,59,0,50,134,154,78,211,9,98,54,115,152,131,173,98,117,99,173,158,203,59,95,243,111,222,247,186,182,163,171,191,
-  8,249,92,65,199,164,125,63,209,28,160,200,166,218,117,75,110,41,185,5,130,127,51,63,53,63,5,243,170,39,214,19,
-  11,228,170,74,170,18,16,108,203,85,23,94,152,170,13,232,107,106,145,90,4,18,245,180,122,26,100,138,46,146,187,248,
-  132,123,141,123,13,228,44,151,125,100,31,16,149,236,243,194,1,18,234,106,195,190,127,15,126,196,247,37,128,232,209,242,
-  50,64,199,38,69,234,132,188,21,242,22,151,106,188,94,202,93,202,13,242,171,92,114,1,21,239,90,238,90,14,220,82,
-  39,213,73,32,232,79,144,57,127,71,99,39,145,68,1,145,162,129,104,232,127,126,252,173,230,8,34,117,253,133,24,44,
-  134,222,129,247,234,239,55,90,237,83,251,64,158,214,27,133,181,197,154,104,141,7,247,54,171,149,213,20,206,170,156,247,
-  115,94,6,181,75,23,223,218,5,157,54,117,100,123,5,99,24,192,173,107,210,255,61,215,219,199,92,0,179,167,14,80,
-  212,52,247,228,228,99,201,75,4,89,221,15,63,112,200,1,230,218,27,147,110,244,4,209,205,156,102,30,2,225,113,190,
-  237,124,23,68,128,115,161,115,37,136,31,156,143,57,167,129,232,227,156,26,240,29,24,29,2,18,3,190,5,241,80,64,
-  189,0,47,136,30,1,145,1,71,64,60,24,176,211,57,27,140,33,1,155,2,130,65,12,14,104,21,112,20,68,37,103,
-  155,128,222,32,202,57,127,117,14,6,163,140,51,200,25,3,194,235,252,212,241,3,112,209,81,221,249,6,136,29,142,115,
-  198,57,16,11,141,87,29,47,3,239,24,39,140,243,32,38,26,43,141,121,192,235,226,85,241,36,136,135,141,75,198,81,
-  160,46,211,153,12,180,18,187,196,62,160,149,56,34,14,2,77,196,28,49,27,232,204,33,45,188,32,218,104,57,102,28,
-  90,10,146,36,146,129,198,154,114,11,84,212,77,211,108,170,96,23,28,54,58,122,73,59,177,249,141,233,2,242,11,83,
-  245,90,244,103,212,53,69,14,219,17,131,129,218,217,33,207,254,187,75,163,236,249,25,34,151,125,116,231,255,221,245,151,
-  28,122,191,3,31,73,36,168,72,217,93,246,0,179,185,47,211,119,28,100,53,235,178,149,0,73,231,115,62,200,238,12,
-  87,130,210,50,83,235,128,241,26,240,166,127,127,242,141,214,197,245,107,223,211,246,180,206,62,53,22,160,246,83,53,214,
-  86,174,87,185,55,79,150,127,40,118,89,172,1,12,116,141,116,183,2,138,136,218,118,0,217,21,77,249,17,226,31,247,
-  221,200,47,118,86,154,90,118,202,166,37,105,128,14,118,216,199,93,236,4,148,250,69,253,2,100,208,159,71,128,193,234,
-  105,245,12,200,101,230,102,115,58,200,223,100,81,121,19,142,15,185,185,58,241,13,200,25,230,141,246,158,5,199,131,5,
-  3,234,107,115,181,189,26,214,84,131,31,219,39,171,249,246,244,255,179,236,235,95,164,17,118,241,251,16,118,175,102,30,
-  2,232,242,146,227,93,70,51,58,116,83,141,234,225,87,194,183,130,123,220,158,156,61,95,128,239,218,245,109,215,125,160,
-  210,93,139,220,203,65,141,149,237,172,61,64,91,85,95,181,3,181,90,230,200,44,96,23,15,177,14,56,171,30,86,11,
-  128,67,252,196,41,96,16,130,97,64,16,85,169,15,124,41,246,136,174,64,52,15,242,32,208,141,46,140,3,138,209,132,
-  38,64,87,78,115,6,84,105,157,1,144,35,180,29,242,76,80,213,85,77,56,31,230,158,224,126,3,148,13,146,228,83,
-  144,4,192,182,154,186,15,86,242,17,187,169,165,221,96,183,245,195,218,70,149,204,171,89,173,100,92,201,56,8,207,211,
-  34,60,230,31,174,143,92,31,1,137,210,33,29,128,193,123,188,87,136,12,129,155,54,160,163,212,67,234,33,176,106,43,
-  175,242,130,26,166,182,169,109,112,181,135,167,129,167,1,164,237,242,253,236,251,25,140,178,220,199,125,216,53,76,201,211,
-  53,66,191,237,23,93,19,9,235,239,113,192,209,117,74,193,12,18,104,27,210,174,138,72,2,40,154,80,243,165,184,131,
-  113,7,33,228,77,95,125,95,125,48,31,242,5,251,130,129,239,217,193,14,64,253,41,5,239,222,48,4,188,54,197,170,
-  129,166,144,203,62,170,180,42,13,234,23,190,227,59,184,58,214,243,186,231,117,184,93,206,55,202,55,10,140,42,188,206,
-  235,160,105,124,169,117,244,190,177,101,155,109,187,98,214,55,249,51,183,214,95,110,235,215,53,111,5,176,122,162,41,212,
-  27,234,141,199,119,237,218,188,43,109,87,90,104,203,142,81,157,87,116,94,1,1,153,129,142,64,7,128,250,74,125,245,
-  223,210,67,181,27,236,25,245,141,250,112,186,244,169,106,167,170,193,174,212,93,37,119,149,132,114,197,157,77,156,77,160,
-  222,252,160,31,131,126,4,245,138,93,20,115,55,186,98,167,255,69,14,241,196,195,229,201,222,238,222,238,144,241,1,45,
-  105,9,29,155,213,238,95,187,63,132,95,142,112,69,184,0,196,40,49,10,134,252,48,244,129,161,15,192,245,160,235,179,
-  175,207,134,189,61,143,93,59,118,13,74,158,116,182,113,182,129,174,34,124,87,248,46,16,31,80,129,10,160,118,218,242,
-  127,127,181,248,252,55,246,176,7,162,87,59,138,56,138,192,35,227,163,86,68,173,128,31,70,166,175,72,95,1,191,63,
-  249,251,208,223,135,66,88,21,45,203,59,104,195,99,153,143,101,66,96,96,224,245,192,235,119,236,83,255,83,2,16,191,
-  12,114,154,145,6,23,221,23,58,93,232,4,231,230,158,235,117,174,23,24,39,1,100,23,189,65,58,102,235,192,99,79,
-  174,222,96,46,157,249,211,55,245,23,117,125,15,96,52,247,111,16,129,193,198,108,99,182,227,161,58,245,75,117,45,213,
-  21,140,95,93,143,184,30,1,171,135,119,139,119,11,144,195,91,188,5,56,11,9,153,188,219,128,166,170,135,213,195,96,
-  213,210,6,193,219,73,133,171,112,56,59,210,213,200,213,8,172,37,186,17,165,209,193,62,47,11,96,255,175,234,115,128,
-  203,191,228,59,176,117,10,233,233,84,7,8,249,64,11,27,116,122,47,44,40,112,114,224,100,168,113,48,110,80,220,32,
-  224,225,220,205,185,155,129,125,62,183,207,13,140,164,35,29,53,42,72,169,66,188,127,182,250,148,60,199,64,6,130,53,
-  84,23,229,187,93,154,217,115,238,27,87,162,43,17,164,45,119,106,220,225,88,236,106,173,54,2,220,216,96,75,56,218,
-  129,105,157,57,234,39,128,154,135,43,154,177,67,99,135,66,241,47,34,166,71,76,7,121,223,141,109,55,182,1,149,188,
-  103,189,103,129,15,88,202,82,123,107,169,92,8,223,211,223,193,190,63,223,240,13,88,245,84,9,85,2,84,186,86,23,
-  73,249,66,115,130,175,103,122,222,246,76,2,17,195,92,230,129,206,104,248,170,234,128,106,125,3,169,233,179,75,152,94,
-  16,129,195,86,67,203,30,168,85,107,204,226,185,37,60,87,60,9,1,168,49,226,23,177,4,212,115,86,61,171,54,200,
-  87,92,137,174,253,128,7,23,167,129,76,42,144,13,100,169,105,170,7,112,134,67,20,7,94,183,139,33,5,194,46,134,
-  175,75,40,240,147,120,83,148,5,158,228,21,198,3,85,197,54,241,33,136,46,98,155,112,2,15,139,102,34,22,216,35,
-  218,136,26,32,38,25,241,198,24,32,194,104,96,188,4,226,136,81,221,152,14,98,157,97,26,45,128,23,29,59,29,9,
-  32,234,25,235,29,18,196,179,142,37,70,58,240,139,241,133,113,14,196,2,71,7,199,51,32,86,26,169,142,92,16,239,
-  56,178,28,22,112,202,225,112,20,3,113,214,249,142,67,128,216,238,168,229,152,5,98,143,241,147,99,59,136,77,142,237,
-  142,217,192,102,199,111,142,61,32,126,54,94,51,94,7,241,190,145,98,228,1,31,25,215,140,20,16,239,27,55,141,28,
-  96,178,145,101,184,64,76,50,142,24,135,128,145,226,41,49,14,24,98,140,22,163,65,60,42,186,27,131,128,94,34,94,
-  52,0,122,139,88,81,25,68,7,113,89,108,3,154,137,125,226,56,80,93,44,97,61,208,140,213,226,39,160,186,88,44,
-  182,0,77,197,38,177,13,68,136,157,113,85,127,66,89,115,216,142,68,162,190,255,86,101,95,55,223,239,224,170,149,125,
-  58,123,54,248,210,114,141,220,170,112,230,187,235,141,175,63,5,217,229,220,123,221,155,11,32,221,17,0,9,191,105,234,
-  208,129,44,77,247,121,162,156,195,65,4,17,161,170,94,94,233,93,165,175,131,40,146,152,125,235,24,120,190,206,58,144,
-  117,2,216,44,223,144,15,129,154,41,167,201,201,192,75,50,70,46,5,245,150,170,34,139,0,175,202,64,41,64,189,42,
-  99,101,12,240,134,204,144,27,64,117,178,158,149,143,131,234,104,117,180,154,0,173,229,68,171,22,168,142,86,51,235,49,
-  80,241,214,203,214,105,80,177,230,47,86,24,200,126,102,176,25,9,158,121,222,40,239,199,224,186,100,140,16,247,65,122,
-  163,244,231,210,158,70,215,92,252,88,192,46,4,3,28,61,164,155,245,5,172,226,56,64,135,116,177,28,64,180,235,90,
-  218,222,115,254,218,240,218,84,146,81,58,99,110,44,97,36,128,90,174,125,144,144,159,180,10,94,183,119,163,31,15,61,
-  23,122,14,170,181,137,44,21,89,18,204,140,219,101,111,43,176,182,228,92,205,57,8,92,147,123,229,41,32,130,246,52,
-  4,186,138,72,17,1,56,68,101,81,5,232,234,223,175,197,32,241,216,95,186,182,159,88,8,8,251,232,239,80,222,94,
-  53,85,77,193,42,162,226,85,60,168,116,157,233,77,118,250,74,248,74,192,141,112,207,183,158,111,65,12,161,51,157,129,
-  53,0,222,162,250,142,172,63,131,238,115,17,167,191,111,64,41,213,22,160,107,175,224,69,206,6,206,6,98,75,237,175,
-  75,244,40,209,3,240,229,157,202,59,5,12,212,126,19,51,105,75,91,192,40,36,106,178,63,195,253,43,9,36,128,28,
-  161,247,23,235,156,58,171,206,130,181,84,139,177,156,221,155,119,56,239,48,248,194,180,202,169,209,40,159,31,3,28,26,
-  99,83,237,254,176,231,203,134,123,126,157,191,20,4,60,131,174,169,122,0,157,26,134,18,240,72,192,35,80,51,33,166,
-  117,76,107,80,115,108,0,107,148,22,209,193,153,239,175,21,46,197,234,172,166,88,169,185,170,174,170,11,150,169,82,85,
-  42,88,191,235,0,228,236,179,174,115,174,115,224,187,143,94,244,2,163,83,190,215,13,28,89,174,51,70,103,31,255,103,
-  215,232,92,111,163,113,93,59,231,47,37,96,95,121,227,87,128,35,47,156,172,120,226,247,19,191,183,108,121,41,228,226,
-  244,139,211,161,58,181,70,215,26,13,96,73,75,222,145,250,252,239,130,140,79,18,147,192,87,207,61,216,61,24,126,175,
-  186,162,203,138,46,144,115,53,251,82,246,37,232,245,188,46,210,142,10,115,76,115,76,3,25,103,203,222,222,101,106,252,
-  242,185,190,90,170,182,170,13,39,30,242,140,244,140,132,128,201,1,75,3,150,66,195,97,141,110,54,186,9,96,180,50,
-  90,1,88,149,173,202,80,108,120,241,110,197,187,193,227,67,70,175,28,189,18,222,127,235,221,198,239,54,134,181,101,147,
-  222,78,122,27,74,108,114,90,78,11,234,191,25,92,35,184,6,168,32,86,179,26,240,254,197,84,180,221,31,68,246,97,
-  13,107,160,100,25,103,63,103,63,24,184,39,170,72,84,17,248,113,106,198,249,140,243,240,115,243,37,151,151,92,6,103,
-  175,128,231,2,158,131,254,7,6,57,6,57,32,32,53,96,125,192,122,0,149,165,178,254,102,144,254,27,143,88,205,159,
-  149,229,100,57,216,53,99,103,217,157,101,33,59,53,199,155,227,165,147,161,187,118,238,211,27,128,213,94,163,1,171,74,
-  235,69,234,83,127,214,48,80,124,81,208,209,42,29,45,127,2,104,245,88,220,186,200,81,145,163,120,168,178,25,93,36,
-  186,8,88,71,82,207,165,158,3,202,155,147,204,73,192,155,60,101,39,216,11,71,63,219,111,64,87,218,29,182,31,210,
-  142,133,252,77,111,20,233,93,124,171,125,171,33,33,192,189,214,189,22,68,136,14,60,236,44,228,115,54,103,255,178,166,
-  20,120,147,11,173,201,100,106,126,88,8,84,13,208,116,190,250,79,148,73,44,146,90,36,21,202,60,30,50,54,100,44,
-  88,139,51,150,103,44,7,85,68,238,147,251,128,91,133,204,81,245,223,191,117,58,131,169,126,180,41,86,74,181,87,237,
-  225,246,24,95,45,95,45,184,182,214,227,242,184,64,180,46,104,247,172,195,182,26,199,120,45,43,43,215,231,171,250,28,
-  7,232,88,93,175,245,200,154,117,58,151,251,177,220,143,16,28,175,246,171,253,224,253,53,39,46,39,14,104,109,206,48,
-  103,0,31,179,194,86,167,186,183,223,243,238,14,246,203,84,39,213,9,172,122,106,135,218,1,170,130,90,169,86,194,133,
-  197,238,5,238,5,144,115,93,190,33,223,0,241,71,126,254,4,184,236,210,239,179,111,172,45,170,176,100,157,77,13,233,
-  250,96,193,15,187,249,171,158,87,57,169,73,173,179,205,108,179,8,190,6,1,70,128,3,140,159,131,59,7,119,5,245,
-  142,123,156,123,28,16,168,214,235,96,141,56,45,27,44,26,139,230,127,233,27,149,183,3,179,69,44,1,148,214,239,87,
-  91,85,182,202,6,124,234,128,218,13,248,212,122,245,7,168,73,92,225,10,112,222,86,211,186,223,214,179,239,200,101,182,
-  0,233,84,34,27,136,167,19,161,64,89,117,86,213,1,246,218,84,173,242,108,230,5,160,52,219,200,0,238,39,157,52,
-  96,158,86,191,193,65,115,246,2,33,244,167,60,208,138,219,60,11,116,22,221,68,5,224,136,221,95,160,5,169,92,3,
-  14,242,40,143,1,165,196,163,226,81,16,227,237,215,239,51,132,161,64,25,49,77,244,7,246,99,112,11,184,204,27,236,
-  7,186,139,73,194,9,84,162,43,79,1,30,49,89,124,10,156,225,41,158,3,81,90,188,35,70,3,135,25,202,92,96,
-  59,6,15,0,69,197,18,177,4,40,197,163,124,0,244,207,167,44,254,227,253,35,200,14,80,179,116,6,193,140,178,206,
-  89,113,224,10,50,223,52,175,131,123,151,85,65,150,129,163,115,110,93,75,188,4,114,36,159,179,25,140,152,130,235,98,
-  103,43,30,3,200,204,84,105,0,45,51,35,134,6,13,8,26,8,101,131,114,47,229,94,134,140,139,219,182,109,45,14,
-  214,31,57,67,115,94,1,178,212,125,234,1,160,21,13,249,4,184,169,230,169,121,160,102,208,133,121,192,251,182,222,255,
-  77,245,174,154,11,12,99,1,243,129,76,222,195,7,236,80,87,212,66,224,45,142,144,0,184,181,67,137,155,235,72,192,
-  197,121,94,1,245,40,251,57,0,214,97,163,159,241,16,56,75,196,140,140,185,14,85,106,196,110,138,93,0,123,239,191,
-  245,222,173,247,192,55,73,175,3,13,148,220,55,76,207,185,206,15,232,98,121,245,157,189,70,215,23,128,187,238,68,130,
-  239,254,189,178,243,39,2,64,52,176,3,144,195,246,255,219,86,67,180,149,21,1,2,183,86,234,90,236,141,98,111,64,
-  92,227,192,47,3,191,4,185,206,245,174,235,93,32,71,157,87,23,128,18,98,136,29,80,248,159,167,22,201,248,207,219,
-  11,109,127,142,104,17,8,245,158,106,168,26,130,85,94,165,171,116,80,161,250,185,92,232,235,158,232,158,8,57,197,229,
-  58,185,14,196,212,130,153,209,75,197,244,62,122,224,200,157,138,100,21,218,232,94,28,77,223,47,121,41,170,127,84,127,
-  168,208,56,114,74,228,20,144,81,201,71,146,143,128,90,100,77,176,38,0,89,249,242,208,97,249,54,245,222,58,206,122,
-  158,143,87,43,212,10,144,211,117,77,164,172,77,119,186,67,86,75,115,191,185,31,46,238,113,159,115,159,227,111,141,69,
-  237,90,11,157,61,220,112,93,207,15,215,6,127,163,216,123,62,92,5,51,111,149,95,148,111,0,52,124,183,116,120,212,
-  254,168,253,80,38,61,120,94,240,60,144,239,101,31,202,62,4,42,65,249,51,129,133,77,77,214,25,244,15,116,163,64,
-  235,132,90,160,22,128,181,95,171,88,101,191,106,173,180,86,194,197,193,238,203,238,203,128,95,62,223,15,88,133,2,108,
-  188,172,101,230,115,151,226,167,126,31,253,179,143,163,224,4,243,35,123,233,217,162,52,192,50,103,230,142,172,243,89,231,
-  91,178,117,255,150,86,91,90,65,245,237,241,251,227,247,3,109,242,213,76,254,33,69,233,191,96,232,70,124,24,149,141,
-  202,176,255,195,125,157,247,117,134,93,127,236,170,187,171,46,84,78,13,248,40,224,35,104,184,39,164,127,72,127,80,253,
-  52,87,254,239,140,181,253,90,12,165,21,173,32,105,171,89,213,172,10,231,58,186,251,184,251,64,249,63,170,172,170,178,
-  10,226,167,197,143,142,31,13,188,37,149,84,54,57,33,23,192,90,103,173,131,248,121,181,102,212,154,1,195,222,25,209,
-  117,68,87,152,254,200,244,182,211,219,194,178,87,179,98,179,98,161,232,117,71,105,71,105,40,187,33,160,71,64,15,144,
-  205,180,90,192,95,110,60,104,255,143,108,163,207,171,152,16,232,11,244,193,224,211,209,219,162,183,193,60,51,163,121,70,
-  115,248,105,229,130,21,11,86,128,181,223,250,221,250,29,6,76,24,252,254,224,247,33,232,131,224,117,193,235,0,228,10,
-  169,29,164,255,110,69,232,254,76,199,235,198,235,112,107,231,205,49,55,199,192,238,122,187,142,236,58,2,180,33,145,68,
-  233,98,57,128,227,83,125,63,206,198,105,99,189,113,136,173,17,63,119,221,170,63,121,247,203,5,29,185,166,221,85,127,
-  128,10,241,213,94,43,62,164,248,16,136,94,111,108,51,182,129,42,147,247,118,222,219,160,182,202,80,25,10,56,239,153,
-  254,252,191,105,64,121,67,247,101,145,161,170,143,234,3,242,67,245,132,122,2,174,84,210,169,206,244,142,102,67,179,33,
-  136,208,130,243,225,86,176,205,197,62,148,175,38,113,143,155,186,117,217,98,255,240,110,193,207,109,115,86,188,4,16,247,
-  104,173,3,37,218,150,104,11,161,143,90,143,91,143,131,185,204,189,207,189,15,184,223,86,45,49,10,217,128,218,20,43,
-  53,74,45,86,139,193,234,166,94,84,47,130,28,174,250,169,126,112,249,39,119,9,119,9,200,218,99,125,105,125,9,162,
-  130,125,94,37,128,235,9,58,152,220,221,214,14,228,108,71,36,98,128,110,140,214,177,99,196,195,193,69,131,139,66,205,
-  113,165,195,74,135,129,76,204,59,151,119,14,84,104,222,252,188,249,160,174,170,247,149,86,195,185,55,142,195,223,91,108,
-  77,209,250,197,238,96,111,169,115,234,28,88,109,85,81,85,20,60,13,244,60,57,123,209,229,112,57,10,168,166,212,183,
-  207,207,5,216,105,169,112,128,27,245,120,193,254,189,95,254,51,160,224,49,33,91,247,189,184,244,114,194,229,212,133,169,
-  11,27,109,188,101,122,55,121,55,65,217,217,145,33,145,33,160,134,228,94,203,189,6,234,123,111,7,111,7,32,156,253,
-  118,79,156,191,154,17,188,147,114,35,236,192,209,105,223,63,255,49,68,104,189,255,191,78,111,12,214,235,84,212,203,239,
-  166,251,159,27,229,245,28,177,243,10,138,213,182,66,222,239,252,129,38,32,91,160,174,243,13,95,1,138,25,124,1,40,
-  219,113,80,156,227,52,160,248,146,169,128,84,110,229,1,164,170,166,202,2,22,95,243,1,144,133,23,15,168,147,108,102,
-  21,160,240,225,5,164,189,191,41,150,49,11,144,246,239,255,25,213,202,176,145,238,153,76,231,53,48,67,172,47,172,108,
-  144,191,88,159,90,159,66,202,31,222,249,222,175,225,234,97,87,156,235,26,136,7,10,102,12,173,41,250,189,215,62,198,
-  70,128,152,44,185,22,160,106,219,184,153,225,103,194,79,67,108,83,199,123,142,247,64,166,121,94,244,188,8,106,177,116,
-  201,108,32,156,63,116,19,70,91,125,73,48,144,71,128,84,123,254,6,217,148,145,74,226,53,241,58,80,201,254,189,32,
-  76,63,99,81,83,212,249,231,1,184,216,75,18,73,224,152,35,58,139,110,160,150,88,231,173,139,208,38,171,220,202,114,
-  171,32,56,62,162,76,68,25,184,58,47,227,92,198,57,176,30,146,171,228,170,128,250,50,74,109,86,155,3,86,168,61,
-  122,189,232,128,10,240,217,192,72,49,187,24,62,205,14,116,131,244,253,23,254,204,104,69,155,114,222,158,134,52,36,69,
-  180,18,199,196,49,160,158,29,152,134,136,29,98,7,205,141,234,142,49,142,49,208,226,171,50,231,202,156,131,128,27,90,
-  164,196,138,241,62,228,125,8,200,177,231,125,176,189,94,238,53,119,223,206,120,241,169,166,26,89,103,213,42,181,10,172,
-  167,181,252,190,199,165,30,85,143,194,217,134,174,20,87,10,168,190,246,125,173,83,208,14,236,152,160,203,131,19,255,208,
-  162,20,216,114,237,45,39,170,77,0,101,230,212,24,86,114,106,201,169,188,27,249,142,218,160,54,128,85,210,53,212,53,
-  20,24,34,31,148,15,2,14,155,42,116,239,237,189,30,233,54,37,221,199,48,134,129,85,93,38,201,36,224,105,149,167,
-  242,224,218,151,158,32,79,16,164,142,210,192,147,145,110,159,215,14,32,245,138,14,138,182,148,241,247,243,90,119,143,187,
-  199,119,253,204,254,193,47,199,27,5,208,42,73,84,1,40,81,171,70,185,216,122,177,245,32,188,182,245,149,245,21,88,
-  177,62,229,83,128,105,175,123,103,33,83,172,220,118,102,52,146,87,120,5,100,89,85,89,85,6,245,5,159,240,9,92,
-  155,229,185,223,115,63,164,20,247,109,240,109,40,176,111,126,6,144,177,83,7,147,155,131,253,54,127,221,140,127,182,141,
-  217,195,239,160,117,109,86,112,194,253,118,86,171,184,60,21,185,243,169,29,197,119,20,175,148,117,255,128,94,239,247,122,
-  31,74,183,41,155,91,54,23,64,182,146,173,254,75,51,31,254,34,242,129,198,64,72,95,116,123,223,237,125,176,228,147,
-  159,115,126,206,1,171,177,187,173,187,45,116,28,27,125,41,250,18,68,148,55,166,25,211,64,134,177,196,222,108,239,116,
-  244,253,142,255,110,205,161,61,90,195,93,221,93,29,50,183,241,33,31,66,239,41,45,106,182,168,9,81,95,198,204,143,
-  153,15,96,23,145,254,109,216,250,202,106,151,218,5,237,221,29,27,117,108,4,87,15,93,105,117,165,21,44,140,88,216,
-  111,97,63,88,58,41,107,65,214,2,24,94,51,122,84,244,40,136,202,118,36,59,146,65,110,97,31,251,248,231,197,231,
-  127,139,160,21,10,228,40,214,179,30,170,190,31,216,33,176,3,12,121,51,122,101,244,74,152,223,57,163,77,70,27,88,
-  120,108,81,234,162,84,112,127,233,170,231,170,7,143,118,28,22,50,44,4,194,186,132,111,13,223,10,32,219,203,246,255,
-  173,50,32,126,110,244,20,166,192,206,172,29,175,236,120,5,110,184,175,63,126,253,113,126,53,102,49,142,113,178,177,70,
-  87,141,209,122,14,252,241,147,227,4,192,213,35,86,231,63,113,156,109,196,65,109,3,16,65,186,241,81,151,78,1,219,
-  196,81,113,52,160,86,221,73,165,58,151,234,12,142,80,183,203,237,2,223,104,239,19,222,39,0,195,70,88,197,61,147,
-  127,253,199,6,32,195,206,104,93,230,49,30,3,43,83,229,170,92,48,67,213,18,181,4,206,92,116,157,113,157,1,179,
-  30,63,241,19,24,45,10,158,127,48,77,55,62,187,112,179,176,138,207,196,203,5,17,155,192,46,234,113,128,206,161,33,
-  11,156,7,156,7,104,91,171,114,241,1,197,7,0,228,222,200,189,1,124,98,198,154,177,192,125,249,79,245,94,55,68,
-  243,59,88,254,213,167,159,111,160,190,127,178,179,138,81,49,224,57,103,111,176,159,187,22,186,22,130,181,83,35,192,70,
-  217,130,169,226,125,51,105,3,112,229,35,22,3,96,171,210,212,108,33,223,5,168,211,167,66,255,98,45,138,181,128,146,
-  159,70,253,17,245,7,200,167,19,151,39,46,7,114,188,237,189,237,129,79,109,100,61,36,95,197,231,222,14,105,215,254,
-  60,204,84,166,130,85,86,181,86,173,65,125,199,151,124,9,183,107,251,186,248,186,192,181,162,158,19,158,19,5,228,63,
-  19,0,204,219,218,226,175,123,67,232,14,220,145,170,254,93,239,223,221,62,14,7,72,171,99,156,7,248,125,110,122,74,
-  222,176,188,97,141,216,18,127,113,192,197,1,48,248,221,90,109,106,181,1,81,58,55,60,55,28,184,47,227,82,198,37,
-  80,91,205,6,102,3,192,105,203,146,27,249,50,187,218,1,250,19,160,231,127,220,16,119,201,154,254,135,235,29,133,95,
-  189,232,94,7,168,122,255,56,102,171,226,45,146,223,202,153,96,221,167,46,171,203,160,134,147,70,58,92,238,231,238,226,
-  238,10,89,175,88,237,173,246,32,206,228,231,153,129,107,95,106,174,246,174,15,180,72,69,5,91,102,190,152,187,228,148,
-  136,86,17,173,32,100,138,118,84,84,123,155,1,17,105,83,157,29,133,52,255,41,104,127,128,134,58,48,21,39,212,25,
-  117,6,196,183,121,121,121,121,16,114,40,253,245,244,215,161,195,132,152,140,152,12,16,47,148,17,101,4,168,165,206,73,
-  206,73,192,92,102,50,19,184,64,85,170,2,101,109,199,43,83,215,246,136,104,198,50,22,84,58,211,152,6,162,136,218,
-  171,246,2,69,109,106,180,45,123,207,33,91,212,160,178,253,58,196,94,255,66,108,20,27,129,83,242,21,249,10,168,193,
-  89,113,89,113,32,171,36,215,79,174,15,234,186,239,71,223,143,64,170,157,57,87,54,16,122,175,247,19,151,13,196,196,
-  240,54,111,131,108,165,202,169,114,160,242,180,67,153,114,216,215,195,215,3,174,119,240,156,242,156,2,241,176,13,28,104,
-  81,146,178,26,144,94,127,131,85,0,74,209,19,192,177,64,213,2,232,154,20,92,214,49,208,49,208,120,183,78,191,18,
-  243,74,204,3,81,77,7,28,170,181,55,195,155,1,228,240,34,47,2,142,66,202,116,248,51,220,59,244,125,87,111,169,
-  170,170,42,88,111,43,143,242,128,245,8,253,232,7,103,3,92,99,92,99,192,91,74,191,54,252,98,51,121,0,71,215,
-  168,45,0,103,234,23,224,89,220,219,241,94,190,183,10,56,191,82,179,1,58,47,11,106,227,216,236,216,44,90,215,234,
-  83,116,71,209,29,192,39,46,229,82,160,170,91,53,172,26,128,39,191,225,102,225,48,4,28,249,243,88,171,88,125,170,
-  154,168,38,96,149,86,41,42,5,172,10,170,158,170,7,231,218,104,138,149,183,137,58,162,142,128,225,43,56,207,142,111,
-  212,25,177,83,83,255,170,4,248,223,133,10,106,187,189,191,141,1,184,16,110,44,1,88,218,41,177,102,162,55,209,11,
-  155,106,111,92,190,113,57,128,106,161,180,211,163,27,124,253,151,33,226,162,143,232,3,42,196,90,107,173,133,229,205,150,
-  149,92,86,18,78,244,58,121,224,228,1,104,20,28,18,20,18,4,117,142,4,191,29,252,54,168,87,216,200,198,2,55,
-  252,238,76,71,24,117,168,3,233,153,186,17,215,129,43,122,33,197,52,136,9,143,9,135,214,178,77,227,54,141,237,180,
-  234,97,59,246,207,249,71,8,158,154,162,166,128,99,178,227,27,199,55,240,112,143,1,137,3,18,161,221,194,182,11,219,
-  46,132,83,71,188,19,189,19,97,101,96,78,243,156,230,224,121,86,93,83,215,64,44,179,229,69,255,189,93,141,211,53,
-  2,35,39,106,185,227,170,3,180,140,239,208,79,52,101,168,84,15,93,20,185,116,220,178,147,203,78,194,87,187,63,127,
-  233,243,151,32,173,229,237,53,183,215,0,56,122,59,122,223,17,120,252,87,181,170,247,103,58,30,49,30,129,212,240,148,
-  22,41,45,96,195,91,235,46,175,187,12,50,149,113,140,147,46,237,188,26,99,52,254,152,242,189,62,103,145,203,210,198,
-  237,216,186,215,255,196,30,251,117,214,199,3,148,120,77,27,128,54,63,20,155,25,241,120,196,227,80,165,102,145,46,69,
-  186,128,220,148,51,63,103,62,176,212,60,103,158,3,194,108,121,80,149,223,121,186,112,13,104,15,205,217,151,199,117,195,
-  160,140,18,102,109,179,54,92,78,112,151,119,151,47,144,177,81,5,83,184,235,91,104,238,168,91,89,47,22,210,211,185,
-  163,6,160,194,100,245,22,64,227,122,37,43,69,63,19,253,12,148,187,17,214,50,172,37,200,237,121,239,228,189,3,234,
-  172,245,180,245,52,224,200,15,36,11,151,98,181,204,166,88,117,210,178,185,210,82,229,85,121,72,239,171,139,9,175,228,
-  122,230,123,230,131,40,126,199,148,91,101,115,152,135,234,128,195,172,151,175,118,146,0,208,225,172,49,20,160,72,92,237,
-  25,101,75,149,45,5,193,35,116,35,52,249,126,206,187,57,239,2,107,204,38,102,147,59,50,150,247,22,136,113,228,103,
-  234,52,197,106,139,86,231,178,98,148,80,2,84,49,93,116,123,233,21,247,25,247,25,200,126,219,218,104,109,4,113,168,
-  160,163,118,117,166,182,85,123,162,237,94,1,172,191,43,43,177,206,47,51,234,223,152,67,0,230,165,82,15,224,100,241,
-  45,191,156,237,123,182,47,236,119,166,244,76,233,9,206,149,37,158,41,241,12,136,99,81,31,71,125,12,226,209,128,251,
-  3,238,7,178,68,132,136,0,46,219,142,121,134,70,166,49,109,199,205,176,239,79,176,205,93,14,178,255,47,216,158,39,
-  254,99,160,189,222,130,242,145,114,125,12,188,235,24,112,215,209,153,159,57,185,243,24,96,31,253,246,223,127,116,230,55,
-  172,252,199,71,231,93,255,255,247,71,109,183,28,118,173,133,248,47,179,159,119,102,198,190,214,253,11,100,132,150,17,181,
-  226,85,148,138,2,223,85,13,140,157,141,112,173,118,173,6,171,143,77,57,142,43,248,38,123,26,121,63,0,184,106,75,
-  73,148,203,210,253,190,66,118,198,25,97,237,194,218,129,177,198,218,100,109,2,246,202,31,116,243,179,127,113,159,47,195,
-  158,55,163,248,154,175,129,183,125,85,125,85,65,121,50,188,25,94,48,67,174,47,185,190,4,204,82,9,205,18,154,129,
-  245,235,229,206,151,59,131,21,154,176,44,97,25,88,189,18,86,36,172,0,107,64,194,210,132,165,32,95,191,252,209,229,
-  143,192,250,246,242,75,151,95,2,249,230,229,169,151,167,130,245,72,194,226,132,197,96,221,159,176,50,97,37,88,181,237,
-  243,90,37,124,147,240,13,88,69,18,198,36,140,1,43,50,97,116,194,104,176,174,93,234,117,169,23,88,223,95,186,116,
-  233,18,88,219,110,78,186,57,9,84,70,110,70,110,6,144,170,134,171,225,64,64,33,245,191,241,115,246,47,104,38,134,
-  156,169,1,10,43,65,93,81,87,64,117,212,148,204,75,143,186,143,186,143,66,182,180,206,88,103,64,236,44,184,175,36,
-  188,160,29,243,61,127,227,180,108,3,40,55,89,203,143,183,120,183,120,169,200,23,34,95,128,138,101,162,222,137,122,7,
-  172,55,114,190,206,249,26,152,103,142,48,71,0,66,59,180,133,6,76,251,27,221,141,215,192,156,117,76,23,147,203,104,
-  6,48,0,178,95,182,130,173,96,184,184,89,83,79,109,37,173,252,26,94,253,61,55,78,19,47,2,228,54,23,13,11,
-  105,158,182,183,143,109,1,202,165,169,41,0,77,135,149,24,24,33,34,4,148,87,161,31,132,126,0,50,205,189,217,189,
-  25,240,168,68,149,8,136,66,167,88,105,59,49,94,109,87,219,65,94,215,102,203,90,175,3,212,156,76,171,172,85,22,
-  46,148,116,77,116,77,4,238,191,203,239,112,2,108,172,175,149,235,178,50,249,234,175,126,236,93,99,189,77,185,234,218,
-  13,128,111,117,39,199,185,161,250,115,250,39,108,168,188,110,246,186,217,229,42,116,120,170,227,184,142,227,160,204,215,229,
-  186,151,235,14,32,43,203,202,5,144,173,194,31,246,231,24,177,70,44,236,157,188,107,241,174,197,176,124,251,242,145,203,
-  71,66,241,35,198,48,99,24,220,103,132,13,15,27,14,129,62,49,92,12,7,249,37,105,164,253,3,3,25,172,95,139,
-  39,180,10,205,193,10,174,241,174,241,112,35,202,42,98,21,129,251,115,91,220,106,113,11,42,206,169,120,182,226,89,96,
-  156,172,168,249,155,36,250,55,241,127,140,216,107,36,38,60,90,119,190,30,113,248,241,146,143,151,132,164,45,201,49,201,
-  49,176,227,233,211,105,167,211,160,104,3,71,53,71,53,232,58,52,108,126,216,124,16,115,180,172,164,90,101,7,54,255,
-  204,152,251,255,158,106,7,32,207,234,0,171,210,218,192,160,192,32,24,222,56,122,68,244,8,88,116,68,203,252,174,13,
-  91,223,96,125,3,72,253,36,149,84,96,180,247,169,248,167,226,161,82,96,149,82,85,74,1,168,70,170,17,128,90,168,
-  155,233,21,146,195,253,247,195,143,140,140,98,20,108,190,180,41,103,83,14,92,218,127,233,135,75,63,176,213,120,2,64,
-  94,213,28,66,231,96,141,200,172,202,208,167,30,233,248,79,107,26,170,22,188,95,141,63,85,65,0,149,159,169,58,44,
-  110,101,220,74,136,105,236,200,115,228,129,92,151,23,151,23,7,106,150,28,37,71,1,238,66,54,0,70,190,1,93,168,
-  22,130,117,70,111,76,170,155,250,72,125,4,87,198,123,38,121,38,65,218,71,190,239,125,223,131,177,131,214,180,6,221,
-  44,42,229,150,54,4,91,235,235,141,1,54,126,116,143,83,197,126,225,200,11,249,153,65,160,101,57,181,6,160,148,81,
-  163,124,241,231,139,63,15,225,83,228,105,121,26,172,24,119,176,59,24,72,212,197,125,133,78,177,242,111,64,111,219,84,
-  130,11,106,180,26,13,242,93,53,84,13,133,132,178,158,49,158,49,144,241,163,217,215,236,91,96,57,73,128,91,163,245,
-  220,222,25,144,47,184,48,16,32,52,93,83,9,58,55,12,219,16,184,59,112,55,212,250,173,204,216,50,99,129,65,121,
-  175,230,189,10,220,200,27,145,55,2,212,57,249,142,124,7,16,133,68,41,240,111,16,63,218,29,236,99,117,38,199,202,
-  211,84,2,111,117,45,123,120,246,71,215,6,215,6,144,123,72,37,181,128,232,128,1,176,59,67,75,63,95,115,221,5,
-  150,252,125,244,111,187,154,58,165,126,233,5,93,19,245,238,181,220,3,222,71,188,143,204,140,159,87,124,111,227,189,141,
-  35,207,136,233,205,70,54,27,9,141,123,150,126,173,244,107,96,124,17,18,31,18,15,214,160,140,13,25,27,64,54,115,
-  71,187,163,65,141,180,190,183,190,7,209,65,205,82,179,128,87,116,39,92,70,234,26,13,81,146,198,52,6,154,218,25,
-  197,6,54,245,196,107,59,102,105,34,90,68,67,126,182,172,130,237,216,251,17,182,80,37,149,4,130,132,33,12,160,140,
-  13,136,249,3,7,143,253,255,215,236,251,88,172,128,218,84,62,242,249,183,140,89,62,240,227,223,203,106,216,231,71,218,
-  71,175,141,236,123,109,213,41,35,63,243,161,175,183,164,253,57,225,118,32,162,242,27,190,253,107,134,95,157,166,41,31,
-  241,17,88,61,85,91,213,22,212,231,90,133,38,109,181,57,202,28,5,87,134,123,150,120,150,128,225,199,122,227,0,84,
-  69,77,61,89,127,35,240,141,130,1,104,177,100,209,13,64,188,27,53,56,184,127,112,127,16,189,84,117,85,29,40,170,
-  197,82,254,229,223,147,124,36,89,175,255,72,222,229,93,80,59,180,10,37,184,30,118,61,12,106,183,251,172,251,44,16,
-  102,55,216,115,105,234,138,8,39,131,140,2,142,122,132,189,223,70,217,53,40,217,246,115,206,212,243,82,249,231,219,141,
-  252,93,94,171,71,21,213,72,186,8,179,169,129,62,237,103,168,108,187,127,77,158,6,34,73,224,77,222,4,2,242,251,
-  220,20,46,144,245,171,238,191,160,6,170,173,106,43,88,247,107,135,210,91,79,125,175,190,135,179,111,230,45,206,91,12,
-  50,131,106,255,175,189,179,14,144,170,108,251,255,231,204,108,7,187,44,221,221,33,165,18,210,173,148,164,148,40,34,160,
-  128,98,43,10,10,10,130,129,1,40,42,33,130,65,11,18,178,44,37,32,221,181,75,119,109,192,230,228,57,247,239,143,
-  235,158,117,89,31,126,198,3,207,227,251,190,115,253,115,118,102,103,206,156,186,175,252,94,223,139,138,96,123,32,167,94,
-  252,53,175,90,0,112,113,147,209,83,191,159,1,80,255,7,245,42,64,201,238,149,95,46,156,90,56,21,162,82,140,88,
-  35,22,172,97,142,193,142,193,160,142,91,45,173,150,128,141,47,248,226,174,84,28,69,82,52,196,42,85,87,184,239,87,
-  225,42,28,136,144,138,246,165,221,66,155,155,88,199,243,134,231,13,48,198,232,239,125,5,112,243,176,192,49,215,47,32,
-  29,128,123,98,47,220,217,195,108,175,71,79,152,215,178,245,22,112,127,31,161,153,45,241,78,165,149,5,30,42,240,16,
-  125,34,223,148,129,158,170,182,187,167,187,39,240,147,172,91,130,124,61,174,119,73,60,186,34,118,15,239,242,46,88,61,
-  4,130,167,126,150,222,227,75,39,5,233,117,253,132,39,213,147,10,134,111,148,198,34,128,180,227,2,221,93,87,26,13,
-  103,141,189,231,111,6,30,217,242,160,190,191,101,1,14,47,183,77,2,248,110,195,229,243,87,42,94,169,248,234,227,43,
-  79,253,212,234,167,86,48,56,102,104,240,208,96,48,82,140,38,134,12,47,219,202,214,187,170,98,52,141,160,173,173,173,
-  45,156,251,238,116,163,211,141,96,214,103,51,186,205,232,6,238,198,25,85,51,170,66,207,167,162,107,70,215,132,162,83,
-  3,171,4,86,1,235,53,77,207,231,202,21,112,152,98,72,108,3,105,76,99,184,222,218,219,203,219,11,54,239,205,204,
-  202,204,130,188,171,242,150,202,91,10,218,183,124,168,216,67,197,192,246,98,160,25,104,130,175,151,227,79,4,90,186,119,
-  194,10,176,2,160,72,141,226,93,139,119,133,161,155,158,218,243,212,30,120,247,200,132,174,19,186,194,234,167,175,218,175,
-  218,33,230,17,123,23,123,23,184,111,74,104,165,208,74,160,138,105,190,250,203,127,114,146,173,239,220,50,197,224,249,122,
-  64,138,141,13,180,2,45,120,172,127,116,201,232,146,176,180,106,90,76,90,12,236,218,182,247,208,222,67,240,206,218,113,
-  5,199,21,132,39,94,127,98,241,19,139,161,65,225,7,250,63,208,31,108,63,219,218,200,112,29,181,90,173,214,46,103,
-  240,93,50,29,2,153,219,97,219,1,151,214,95,40,120,161,32,172,42,189,226,177,21,143,129,117,88,125,162,62,177,82,
-  108,53,1,108,143,138,98,76,190,41,138,112,198,231,130,127,244,56,98,231,255,235,157,183,214,35,128,66,245,194,200,202,
-  0,104,117,56,224,103,163,170,81,53,184,68,205,201,69,131,138,6,65,64,95,215,107,174,215,192,83,223,189,197,189,5,
-  200,16,118,7,2,53,253,241,221,82,160,233,90,129,42,250,208,7,172,38,50,41,212,179,86,29,83,199,32,225,231,172,
-  157,89,59,193,19,47,142,141,173,81,78,3,177,191,168,52,253,29,111,121,215,130,126,223,185,87,6,176,143,81,143,3,
-  180,174,21,236,176,55,179,55,179,93,174,118,190,80,222,66,121,193,216,38,3,143,232,233,25,231,25,7,28,208,77,214,
-  97,190,166,227,187,116,253,52,86,90,149,225,89,158,5,107,152,144,39,120,50,165,73,46,97,164,134,168,189,43,172,100,
-  182,198,57,175,223,30,37,14,237,169,71,116,38,103,34,59,0,42,69,90,47,1,220,243,125,201,73,249,34,243,69,66,
-  241,73,209,173,162,91,129,185,252,250,142,235,59,64,173,115,94,115,94,3,44,125,126,119,15,139,43,6,98,176,156,143,
-  117,143,156,159,138,98,40,67,33,37,193,155,238,77,135,243,241,206,189,206,189,96,60,160,33,28,22,128,213,71,214,86,
-  236,107,226,80,154,53,255,168,247,103,173,174,152,181,169,147,211,33,95,116,198,54,25,160,216,165,164,215,51,118,103,236,
-  30,55,251,203,251,54,175,221,188,54,252,241,227,117,42,45,172,180,16,154,141,40,243,85,153,175,160,208,155,17,147,35,
-  38,131,49,50,51,61,51,29,188,53,50,237,153,118,80,110,71,7,71,7,80,53,92,47,184,94,0,210,61,31,122,62,
-  4,227,99,61,96,245,9,97,75,49,190,103,13,107,128,71,132,13,199,40,103,148,51,202,1,133,181,131,235,213,219,155,
-  218,113,107,197,120,198,3,54,233,177,49,186,115,131,27,64,33,29,8,250,6,107,238,166,26,213,128,190,210,195,135,169,
-  3,226,155,58,160,184,145,189,30,229,117,146,182,23,247,104,232,144,238,153,32,77,230,42,81,193,118,143,237,30,48,166,
-  216,227,237,241,96,236,48,226,141,120,48,10,88,55,172,27,192,104,115,163,185,17,40,197,147,60,121,23,43,166,185,43,
-  99,231,196,97,86,107,84,7,213,1,204,118,146,0,80,99,4,235,127,118,157,51,202,25,5,55,219,122,19,188,9,96,
-  76,209,16,27,59,192,165,211,210,103,177,245,97,25,4,198,50,233,39,9,222,99,156,167,11,93,32,176,132,253,156,253,
-  28,80,76,88,31,249,109,32,164,250,47,195,231,228,254,216,179,89,190,190,227,59,32,67,217,148,13,72,151,192,196,119,
-  156,234,210,239,234,237,191,213,221,149,78,79,26,57,244,204,149,92,215,217,23,160,106,199,82,157,206,129,123,48,128,52,
-  125,191,13,125,255,131,178,123,41,239,238,115,224,131,100,214,23,168,178,89,72,6,193,169,13,226,208,38,187,61,9,158,
-  4,56,95,210,181,201,181,233,55,36,128,56,224,230,97,73,224,173,125,87,2,77,235,132,36,141,108,125,101,206,85,155,
-  31,130,148,109,178,109,178,253,88,141,30,69,238,43,114,31,216,190,118,148,117,148,5,179,167,251,148,251,20,160,178,231,
-  243,220,29,246,71,95,96,181,86,16,2,86,43,85,67,213,0,239,60,117,74,157,2,243,172,234,175,250,67,194,87,142,
-  11,142,11,224,186,170,214,171,245,96,235,145,211,243,61,60,76,18,235,71,127,27,25,253,227,157,61,76,115,127,78,68,
-  130,113,78,104,155,91,185,130,226,108,67,108,67,236,51,171,31,204,247,126,190,247,193,150,238,8,114,4,129,247,123,243,
-  91,243,219,91,60,243,187,11,177,58,43,254,180,218,165,90,168,22,96,134,169,53,106,13,88,83,85,111,213,27,142,27,
-  142,143,29,31,131,243,89,53,65,77,0,219,192,156,235,228,104,83,161,29,62,28,243,23,135,192,222,190,248,21,171,7,
-  130,168,25,0,180,18,195,60,227,43,201,24,31,235,25,247,242,218,123,214,222,3,135,143,29,254,225,240,15,0,246,230,
-  246,230,183,40,160,187,21,112,252,108,251,25,82,18,147,203,38,151,133,47,223,249,188,241,231,141,225,76,187,179,13,207,
-  54,132,230,199,194,63,13,255,20,234,174,9,25,23,50,14,212,117,237,184,59,255,181,66,52,218,74,38,195,12,84,99,
-  212,24,216,184,39,179,126,102,125,184,50,192,42,102,21,131,86,237,91,117,106,213,9,42,174,174,56,191,226,124,0,243,
-  166,121,243,111,85,118,116,134,205,252,197,252,5,170,14,175,241,73,141,79,224,201,26,131,243,12,206,3,1,199,34,99,
-  35,99,97,73,222,180,95,211,126,133,248,37,174,161,174,161,96,91,46,172,12,191,131,134,253,89,209,231,108,53,101,37,
-  43,33,95,184,189,134,189,6,244,249,57,170,80,84,33,120,240,167,136,130,17,5,225,250,254,11,111,94,120,19,222,111,
-  254,126,173,247,107,193,55,175,204,62,49,251,4,164,158,188,121,244,230,81,0,251,91,246,183,0,168,171,163,91,243,47,
-  195,193,254,255,158,85,7,163,3,88,175,152,163,205,209,240,211,91,203,214,44,91,3,23,46,93,172,112,177,2,175,217,
-  126,212,94,162,9,96,43,38,11,115,201,116,105,14,219,94,225,143,26,227,13,13,33,113,212,2,40,112,89,237,6,104,
-  58,52,230,72,120,157,240,58,80,225,179,124,51,242,205,0,203,150,185,37,115,11,240,158,103,162,103,34,96,106,12,239,
-  221,206,76,109,211,10,244,105,153,115,97,174,82,181,85,109,72,27,230,125,213,251,42,156,158,239,188,228,188,196,111,77,
-  192,42,103,229,33,46,90,88,151,178,226,178,249,213,239,124,6,85,228,12,64,241,209,82,106,175,95,174,80,155,200,117,
-  145,235,160,204,140,200,10,145,21,192,58,152,213,53,171,43,168,52,179,178,89,153,156,208,163,187,171,64,119,74,102,209,
-  26,44,6,214,218,171,42,170,138,112,243,73,111,93,111,93,56,219,200,89,219,89,27,178,103,135,168,236,85,9,196,149,
-  146,231,202,53,49,123,176,211,126,128,102,95,26,71,0,242,223,95,221,83,98,122,137,233,16,122,200,54,203,54,11,212,
-  224,244,166,233,77,129,143,188,63,123,127,6,108,62,114,139,59,12,41,200,61,193,254,136,52,201,155,5,52,43,77,47,
-  73,8,156,249,197,89,209,89,17,82,35,204,65,230,32,48,174,230,116,140,46,182,147,192,241,215,19,217,231,247,39,37,
-  214,7,213,106,10,96,106,247,125,138,199,54,30,96,76,193,204,162,238,188,238,188,233,203,86,230,61,20,115,40,6,38,
-  166,174,251,121,221,207,48,99,226,225,229,135,151,195,175,43,29,103,29,103,225,234,160,168,139,81,23,193,49,38,255,206,
-  252,59,193,179,33,44,50,44,18,220,219,141,233,198,116,112,181,177,86,90,43,193,221,208,122,201,122,9,92,110,107,145,
-  181,8,92,202,90,104,45,4,87,168,249,182,249,54,184,246,155,211,204,105,224,250,81,160,61,174,84,97,225,113,37,91,
-  187,173,221,224,42,33,159,119,238,55,159,53,159,5,151,219,124,213,124,21,92,137,230,12,115,6,184,238,21,150,29,87,
-  126,107,136,53,4,92,94,107,168,53,20,92,135,173,39,172,39,192,85,213,122,222,122,30,92,225,214,219,214,219,224,58,
-  98,141,181,198,130,235,107,235,93,235,93,112,141,183,166,89,211,192,85,130,126,244,3,79,68,216,185,176,115,96,126,88,
-  240,233,130,79,131,10,41,60,175,240,60,80,253,35,183,68,110,1,46,5,124,25,240,37,57,249,247,239,176,222,188,77,
-  101,108,41,241,196,131,213,68,88,221,204,123,37,145,225,61,34,208,188,132,37,142,47,29,95,130,57,82,99,200,203,101,
-  167,127,128,93,63,11,201,194,153,139,217,131,226,194,0,28,5,213,77,126,228,71,112,245,182,188,150,23,8,14,88,20,
-  176,8,8,49,10,27,133,1,149,13,61,254,111,7,32,190,117,40,129,136,33,208,72,108,250,62,216,52,157,119,238,173,
-  93,111,3,52,77,177,253,54,159,51,110,243,189,223,62,47,191,99,100,103,172,125,149,252,187,219,11,235,243,73,46,136,
-  31,166,190,82,77,85,83,48,47,171,203,234,50,168,209,2,189,59,243,180,51,204,25,6,169,95,153,99,205,177,190,57,
-  110,190,68,197,5,135,204,103,218,118,38,27,114,154,14,80,172,181,250,28,160,209,175,5,199,228,121,45,207,107,80,110,
-  113,116,100,116,36,152,113,153,243,51,231,131,154,236,45,226,45,2,88,92,214,51,180,238,14,2,198,87,225,30,167,214,
-  169,117,96,254,40,129,165,117,66,2,144,204,245,102,63,179,31,156,220,225,28,228,28,132,208,42,231,212,251,73,0,235,
-  198,138,254,79,219,197,188,187,116,63,124,73,168,178,0,69,63,144,235,215,240,122,254,206,225,29,195,59,66,217,99,17,
-  195,35,134,131,42,232,156,226,156,2,68,103,147,176,220,221,57,97,62,61,49,91,67,49,195,100,64,182,185,64,144,46,
-  153,23,205,199,205,199,225,68,117,199,125,142,251,248,125,15,155,2,88,223,90,42,56,55,143,82,234,14,5,30,217,251,
-  247,97,126,95,0,56,181,205,246,8,192,148,49,55,202,167,126,152,250,161,55,108,254,23,223,125,255,221,247,144,217,32,
-  237,141,180,55,0,12,83,26,23,111,195,43,254,215,69,15,80,146,230,241,204,205,25,105,25,105,48,171,217,151,31,127,
-  249,49,236,248,117,215,194,93,11,161,206,192,144,146,33,37,161,205,212,136,248,136,120,176,63,106,124,106,124,10,106,142,
-  46,165,222,198,233,49,180,99,127,248,144,107,178,107,50,108,109,155,85,52,171,40,148,61,87,166,75,153,46,208,105,77,
-  231,177,157,199,130,177,200,190,210,46,148,148,210,252,253,247,229,58,215,1,212,215,234,107,104,188,171,105,84,211,40,232,
-  175,250,157,239,119,30,50,146,2,66,2,66,96,193,240,212,251,83,239,135,11,187,132,95,219,118,140,206,116,6,60,127,
-  83,161,251,230,128,188,203,38,54,65,232,20,219,116,219,116,232,48,55,98,77,196,26,232,127,46,58,33,58,1,34,54,
-  56,63,118,126,12,223,166,126,55,228,187,33,48,62,100,92,177,113,197,224,80,239,125,199,246,29,3,21,172,155,197,176,
-  189,109,123,251,142,24,24,29,168,218,186,218,186,194,190,89,123,90,238,105,9,107,211,215,44,89,179,4,140,169,0,214,
-  84,41,137,6,76,147,251,120,190,137,100,226,166,182,22,158,113,239,104,219,203,127,240,43,62,3,90,20,160,118,186,76,
-  36,173,152,167,252,15,5,175,20,188,2,249,221,129,191,6,254,10,86,66,86,98,86,34,168,75,214,20,107,10,16,116,
-  151,233,95,127,99,177,90,168,22,130,53,95,154,226,212,11,106,184,26,14,23,126,117,133,185,194,32,41,175,183,190,183,
-  62,100,51,244,152,0,41,74,148,251,134,143,124,56,225,216,62,119,73,81,165,230,252,221,251,187,170,71,0,74,150,171,
-  184,188,208,115,133,158,131,168,80,113,56,172,222,130,25,38,89,109,87,219,239,130,2,53,114,109,3,117,64,255,162,96,
-  150,173,49,114,253,172,158,234,73,245,36,156,15,115,37,186,18,33,121,188,103,174,103,46,216,74,231,84,156,73,85,165,
-  84,252,139,133,207,240,254,4,16,50,95,53,4,104,213,49,188,95,224,136,192,17,80,109,108,241,1,197,7,0,63,57,
-  170,59,170,131,138,201,250,40,235,35,80,151,172,72,43,18,176,223,225,230,208,220,129,233,106,25,184,104,21,22,7,202,
-  44,170,130,85,48,120,27,11,187,85,252,222,172,89,89,179,192,60,35,52,219,220,210,52,191,163,171,60,239,231,6,221,
-  6,22,250,199,1,200,188,156,235,200,227,18,200,214,167,81,198,126,128,167,219,24,69,88,196,162,147,149,147,87,103,14,
-  203,28,6,27,103,159,56,123,226,44,124,181,102,203,234,45,171,97,114,187,77,213,55,85,135,233,243,247,247,222,223,27,
-  22,231,185,248,225,197,15,97,253,146,27,245,110,212,131,109,195,210,46,166,93,132,93,15,166,103,165,103,193,222,17,233,
-  27,210,55,192,254,17,25,165,51,74,195,193,140,204,151,51,95,134,195,77,50,3,51,3,225,72,84,102,187,204,118,112,
-  116,95,102,231,204,206,112,108,109,230,208,204,161,16,63,47,115,118,230,108,72,24,144,149,39,43,15,196,207,151,166,210,
-  132,30,142,113,142,113,112,60,194,177,192,177,0,78,76,204,58,159,117,30,78,212,113,4,56,2,224,100,41,71,125,71,
-  125,56,217,214,81,207,81,15,78,245,23,136,206,233,155,142,145,142,145,112,250,25,199,51,142,103,224,76,160,115,134,115,
-  6,156,61,234,158,233,158,9,231,45,129,190,93,10,15,141,11,141,131,155,71,243,47,204,191,16,140,119,242,55,202,223,
-  8,40,29,180,44,104,25,144,78,27,218,0,70,118,128,122,183,50,221,82,25,235,170,166,169,105,96,189,35,14,133,122,
-  151,247,120,15,110,206,20,218,247,51,117,157,197,156,197,192,200,147,211,225,228,121,113,52,215,62,32,58,217,189,39,123,
-  157,21,6,184,180,222,122,23,192,123,242,90,140,36,104,84,112,232,180,208,105,192,240,160,43,65,87,0,187,182,143,150,
-  143,100,229,79,86,234,253,114,167,28,114,113,40,23,168,3,234,0,88,69,100,238,147,89,87,122,6,61,118,181,91,237,
-  134,248,95,28,139,29,139,193,172,202,33,14,241,27,132,209,6,176,163,169,96,249,207,245,145,121,29,62,199,243,190,242,
-  234,126,128,210,61,43,157,46,52,164,208,16,136,30,111,59,110,59,14,170,91,214,199,89,31,3,78,65,118,220,53,246,
-  199,223,16,29,54,108,160,138,241,28,207,129,53,64,18,49,76,16,136,208,229,133,238,205,238,205,112,173,155,251,67,247,
-  135,57,216,218,20,64,186,158,51,177,254,77,214,107,253,118,135,33,86,109,124,4,61,197,244,182,42,64,221,46,170,2,
-  64,217,215,42,28,202,215,36,95,19,136,30,171,161,241,67,221,247,187,239,7,172,108,210,163,187,59,103,205,212,122,162,
-  2,19,152,0,102,105,29,152,70,72,133,236,114,73,247,49,247,49,184,54,221,61,220,61,28,140,30,57,191,156,113,85,
-  146,11,113,131,124,68,68,177,187,254,170,89,251,3,89,171,89,81,218,60,145,51,114,251,246,162,45,24,160,253,168,61,
-  39,118,199,236,142,233,200,207,229,86,57,87,57,161,219,150,158,59,122,238,0,30,96,56,195,1,56,193,137,127,199,33,
-  53,202,27,229,193,185,207,241,178,227,101,152,251,217,236,126,179,251,65,236,35,113,15,197,61,4,149,98,100,46,69,183,
-  71,242,148,200,83,2,34,76,25,52,103,141,17,131,144,221,20,248,219,94,5,90,181,142,135,120,8,174,30,247,158,247,
-  158,135,229,157,210,230,167,205,7,62,12,169,17,82,3,250,196,244,25,210,103,8,20,78,41,118,170,216,41,0,235,81,
-  235,209,59,18,80,249,154,207,23,169,69,96,204,54,86,26,43,161,227,75,93,26,116,105,0,41,239,164,124,152,242,33,
-  44,120,116,225,23,11,191,128,31,138,72,0,50,96,123,116,72,116,8,20,92,26,224,8,112,252,54,199,227,79,211,239,
-  146,157,33,23,72,74,105,97,105,178,217,140,94,70,47,184,215,12,173,23,90,15,138,108,9,120,53,224,85,88,53,49,
-  163,127,70,127,216,183,119,255,153,253,103,224,244,91,103,86,156,89,1,29,102,118,184,220,225,50,116,24,211,105,110,167,
-  185,144,127,92,161,231,11,61,15,96,245,177,250,0,72,51,52,228,194,80,255,94,124,131,30,159,177,61,3,41,42,169,
-  100,82,73,248,174,206,188,174,243,186,66,234,119,25,33,25,33,106,191,125,48,128,154,38,138,207,170,45,14,246,244,57,
-  238,233,0,7,235,5,141,151,157,253,92,245,54,10,224,45,253,199,81,189,93,13,208,106,155,253,93,190,231,251,208,239,
-  107,132,20,61,89,244,36,4,206,117,21,116,21,4,79,113,231,16,231,16,32,85,15,200,12,213,153,50,227,54,21,15,
-  95,73,221,186,141,99,156,187,132,111,230,250,191,83,48,209,42,15,3,24,0,102,89,49,20,222,50,42,85,165,66,130,
-  114,28,114,28,2,247,89,129,214,216,218,231,220,207,193,116,9,60,142,113,183,202,246,109,180,3,171,222,3,48,58,9,
-  107,86,171,38,129,121,109,193,182,224,128,23,106,60,85,120,97,225,133,96,251,200,185,214,185,22,172,30,238,213,238,213,
-  192,119,60,200,131,64,104,54,196,234,175,61,167,42,215,214,155,125,189,110,221,143,91,20,180,42,47,44,52,102,75,193,
-  168,122,151,169,147,234,36,28,95,233,184,232,184,8,158,0,97,175,177,53,205,185,191,253,211,36,9,144,112,69,227,210,
-  251,74,69,183,194,68,235,53,49,20,197,122,199,92,138,185,196,152,146,101,98,226,98,226,192,60,152,28,150,28,6,202,
-  238,28,232,28,8,56,229,190,17,165,39,148,171,59,156,225,211,131,163,212,227,210,27,97,189,97,245,180,122,130,53,70,
-  38,238,222,120,220,251,154,247,53,56,215,223,53,218,53,58,7,205,161,2,80,243,228,185,88,27,111,244,6,240,220,80,
-  190,137,185,93,254,102,0,242,165,126,46,70,1,120,27,203,245,155,215,90,178,185,187,35,141,10,0,131,46,218,135,3,
-  116,125,195,218,167,66,84,72,169,2,201,209,153,100,98,123,63,233,188,176,142,31,78,208,203,160,141,222,118,149,76,177,
-  237,121,221,187,20,207,247,124,15,70,28,247,115,63,24,153,50,199,193,88,108,212,49,234,0,109,245,115,213,94,219,151,
-  94,146,96,50,58,232,222,142,206,178,110,141,54,98,72,153,37,144,32,227,7,13,209,122,193,40,97,148,0,106,201,231,
-  141,85,186,55,225,152,64,67,140,185,186,194,254,177,64,182,140,110,26,34,51,64,160,91,70,111,99,137,177,4,184,118,
-  161,193,133,6,192,119,135,159,59,252,28,20,153,159,247,106,222,171,48,60,160,182,81,219,128,152,183,108,171,109,171,193,
-  250,68,179,124,169,187,84,9,248,109,240,168,23,47,168,205,170,163,234,8,102,30,25,0,166,70,169,173,106,43,156,237,
-  229,156,228,156,4,55,22,122,79,122,79,230,14,60,174,182,146,160,104,243,227,66,170,0,217,179,138,44,128,35,245,140,
-  73,0,215,34,227,11,95,255,234,250,87,197,72,157,84,45,182,90,44,68,205,140,89,20,179,8,204,196,228,73,201,147,
-  64,189,228,90,236,90,12,92,146,9,214,132,74,224,76,64,118,175,151,56,86,234,47,86,0,140,223,233,17,31,36,42,
-  103,0,117,251,68,197,223,149,220,250,232,159,42,134,166,79,110,161,89,239,202,169,54,170,13,168,190,124,200,135,112,35,
-  209,251,136,247,17,56,215,207,181,200,181,8,108,79,229,204,204,171,42,210,235,20,59,80,130,70,239,52,117,10,192,8,
-  20,58,229,54,111,5,158,52,174,26,87,3,215,214,248,176,104,209,162,69,193,190,204,153,199,153,7,60,77,220,83,221,
-  83,1,83,247,116,4,231,98,179,187,115,250,80,238,255,102,89,151,214,195,66,114,100,174,144,222,62,107,152,122,91,189,
-  13,199,39,58,210,29,233,224,12,82,47,171,151,115,156,167,64,132,194,165,226,113,112,182,126,247,142,143,120,85,26,188,
-  101,215,208,111,179,23,64,171,206,1,59,141,94,70,175,160,244,234,133,10,188,95,224,125,176,55,118,45,115,45,3,111,
-  79,243,57,243,57,32,69,235,33,219,223,68,88,220,238,249,183,101,111,229,250,157,215,80,204,21,210,251,101,186,132,108,
-  194,58,33,189,145,199,235,57,10,58,10,130,163,165,204,177,179,61,159,115,63,241,61,196,183,59,48,252,239,38,81,254,
-  244,169,25,175,233,11,218,28,32,173,189,156,207,132,74,222,199,44,195,50,106,87,88,248,192,130,107,11,174,21,239,85,
-  169,89,229,115,149,207,65,245,109,181,6,213,26,4,96,142,52,71,254,165,8,78,87,56,140,90,70,45,112,93,115,157,
-  116,157,132,111,43,126,83,224,155,2,240,227,252,101,135,150,29,130,226,199,109,29,108,29,160,87,217,168,157,81,59,33,
-  191,211,62,208,62,16,172,6,122,30,70,208,109,2,142,238,52,160,1,164,237,144,210,254,146,163,105,175,166,189,10,23,
-  63,148,18,126,247,228,46,45,186,180,128,7,222,108,250,96,211,7,1,116,36,141,44,220,59,152,249,214,11,82,216,105,
-  2,223,15,124,33,240,5,232,51,184,127,169,254,165,32,181,122,170,61,213,14,63,143,255,121,204,207,99,96,254,133,180,
-  207,211,62,135,126,135,162,134,69,13,131,188,19,4,218,102,141,18,22,171,191,28,128,232,5,172,150,146,78,58,168,96,
-  25,68,87,252,189,192,192,192,64,120,116,106,212,145,168,35,80,169,66,208,230,160,205,16,183,60,189,113,122,99,248,54,
-  233,219,204,111,51,97,103,204,142,159,118,252,4,15,151,235,58,169,235,36,104,180,174,241,248,198,227,33,236,155,200,235,
-  145,215,1,44,183,229,6,16,3,200,111,80,37,31,27,217,11,198,11,96,126,225,109,233,109,9,139,39,45,248,98,193,
-  23,112,104,245,161,26,135,106,176,201,94,29,192,170,69,117,0,123,45,113,108,54,182,151,7,127,198,190,32,13,5,140,
-  253,233,15,206,211,135,225,13,7,136,25,99,157,1,104,214,32,230,74,88,213,176,170,80,105,113,254,131,249,15,130,21,
-  152,225,204,112,130,170,226,41,237,41,13,76,82,47,168,23,128,96,237,168,164,100,59,150,98,40,195,53,164,96,159,166,
-  79,244,57,20,55,245,239,37,235,251,17,118,107,192,161,22,235,207,69,234,253,164,176,151,189,96,46,181,58,90,29,193,
-  252,69,6,194,165,127,45,216,240,83,187,156,155,157,155,129,207,245,126,230,232,109,10,192,186,11,204,2,200,120,76,197,
-  234,247,63,190,59,165,98,227,69,128,194,35,172,1,0,141,66,243,111,141,168,22,81,13,202,118,138,90,24,181,16,204,
-  13,41,153,41,153,96,141,53,191,55,191,7,126,20,250,90,2,41,69,169,255,79,32,118,187,140,150,47,83,228,107,72,
-  63,161,33,42,223,234,140,177,206,120,225,150,230,100,243,45,235,77,235,77,48,15,168,182,170,45,164,37,153,171,204,85,
-  112,234,35,103,170,51,53,71,224,249,73,206,231,97,253,43,114,127,178,118,101,55,196,230,3,104,220,207,24,8,80,168,
-  96,181,46,197,175,22,191,10,97,155,237,199,236,199,192,219,57,109,81,218,34,176,54,123,190,240,124,1,252,34,208,39,
-  130,40,79,249,187,144,217,211,180,133,214,189,234,132,58,1,222,247,165,73,84,157,150,245,122,230,140,43,197,149,2,55,
-  44,111,43,111,43,48,238,205,105,128,174,196,73,102,106,139,205,55,184,106,109,151,59,115,120,177,19,110,205,79,181,41,
-  7,16,143,218,2,240,242,104,163,25,192,103,94,106,0,180,232,107,88,0,45,179,100,34,118,109,61,216,178,248,57,9,
-  92,194,223,227,43,46,115,153,149,86,1,62,225,19,126,131,70,100,234,173,110,254,86,89,90,125,152,183,94,159,236,237,
-  162,92,129,106,151,92,251,89,238,179,7,122,63,241,122,254,82,123,61,175,193,183,159,110,185,246,243,114,182,29,17,121,
-  87,111,39,203,99,105,61,35,121,148,176,11,25,115,50,230,0,141,220,111,185,223,2,46,152,237,205,246,64,144,30,20,
-  251,199,9,153,127,175,50,182,81,15,30,109,35,207,163,249,153,204,85,240,230,19,136,85,124,184,227,93,199,187,224,61,
-  40,235,200,214,42,231,243,182,187,165,184,96,39,90,234,235,176,56,91,127,42,128,147,143,217,118,0,172,125,232,124,199,
-  228,231,146,159,123,108,247,186,138,103,46,159,185,12,93,109,85,230,84,153,3,246,119,2,155,6,54,5,171,205,141,25,
-  55,102,128,74,118,28,117,28,5,213,195,179,213,179,21,216,170,222,82,111,1,118,53,67,205,0,202,232,138,72,160,238,
-  5,48,110,115,125,124,247,37,65,235,221,96,125,190,65,250,123,62,82,145,150,58,49,24,148,235,190,59,110,227,152,229,
-  14,220,188,185,18,68,190,247,243,106,189,29,162,183,234,79,58,126,255,41,241,57,148,201,186,119,101,131,250,89,253,12,
-  230,24,33,183,81,19,212,90,181,22,206,92,116,94,119,94,135,155,46,111,188,55,30,12,199,45,189,61,91,68,255,109,
-  125,194,55,155,205,56,35,70,64,6,236,62,48,49,127,86,228,144,200,33,80,190,104,222,2,121,11,128,57,58,101,92,
-  202,56,80,7,60,125,61,125,129,21,202,174,132,93,238,206,210,41,59,178,19,77,210,187,210,157,121,204,3,171,143,158,
-  215,20,175,234,169,122,144,53,205,250,206,250,14,78,4,58,198,59,198,243,27,25,138,47,248,137,2,216,80,151,35,0,
-  55,203,101,67,132,78,221,225,248,111,128,126,28,44,128,2,249,84,57,128,198,53,243,214,10,91,25,182,18,202,31,142,
-  28,21,57,10,172,235,105,133,210,10,1,63,72,15,5,17,162,231,249,179,115,213,126,171,252,223,106,47,125,158,253,65,
-  253,92,236,203,158,23,35,126,216,94,241,147,45,151,58,175,206,131,57,85,149,81,101,32,235,136,32,61,78,252,32,149,
-  94,170,253,46,112,1,54,204,16,132,64,74,101,124,116,237,191,254,85,117,245,39,101,141,54,170,109,186,102,63,0,192,
-  246,4,219,7,0,147,110,38,53,75,41,148,82,232,195,153,179,30,158,177,122,198,234,160,39,94,251,230,141,38,111,52,
-  129,2,143,22,250,177,208,143,0,86,3,75,232,119,111,55,39,194,215,195,241,129,237,3,112,196,102,53,204,106,8,223,
-  190,59,167,211,156,78,176,232,139,37,37,150,148,128,66,7,164,41,176,239,198,168,74,81,149,160,120,186,12,6,180,58,
-  107,197,110,221,38,224,232,32,108,22,153,75,172,38,86,19,88,154,152,86,50,173,36,236,175,224,26,233,26,9,141,126,
-  108,240,90,131,215,224,145,177,125,233,11,4,244,12,220,22,184,13,192,90,102,45,187,163,1,71,110,209,44,32,2,153,
-  8,251,50,188,109,120,91,120,34,110,240,190,193,251,32,115,100,198,128,140,1,240,203,214,45,99,182,140,129,5,7,211,
-  222,73,123,7,30,169,146,231,80,158,67,16,53,218,254,134,253,13,176,222,22,8,213,95,14,64,140,236,251,41,243,64,
-  30,145,166,206,96,151,173,177,173,49,52,93,22,94,60,188,56,84,172,28,60,34,120,4,172,159,157,121,38,243,12,236,
-  106,113,114,245,201,213,48,121,196,100,215,100,23,172,155,26,215,63,174,63,116,56,223,233,243,78,159,67,221,61,245,6,
-  215,27,12,161,15,71,108,137,216,2,96,229,183,242,75,232,42,193,171,208,32,111,218,185,97,194,134,9,176,226,151,159,
-  246,252,180,7,152,68,93,234,90,71,132,181,202,62,74,20,70,226,77,161,137,125,199,77,28,64,226,53,99,152,62,238,
-  63,10,60,92,57,13,73,205,39,164,65,190,202,198,178,203,10,125,86,232,51,42,230,63,30,17,28,17,12,238,153,41,
-  51,83,102,130,89,195,250,213,250,21,56,105,13,179,134,1,7,56,194,17,224,12,117,168,3,40,109,24,93,70,49,163,
-  24,168,165,218,208,69,234,235,190,71,7,170,187,53,107,137,87,27,42,151,14,168,135,233,204,103,105,161,21,85,99,133,
-  6,210,236,110,5,89,65,96,30,144,137,205,23,46,186,218,187,218,195,245,37,194,247,110,248,28,132,175,1,82,183,8,
-  133,245,250,58,232,9,179,107,227,238,236,67,217,220,55,175,99,127,206,235,88,247,61,25,60,87,46,127,185,15,138,36,
-  20,73,160,81,84,165,136,179,17,103,193,117,41,185,100,114,73,176,50,141,185,198,92,96,186,149,96,37,0,25,186,242,
-  97,102,211,142,250,6,133,249,182,62,7,65,6,176,45,212,215,211,147,109,232,125,205,189,194,30,151,36,147,194,113,105,
-  199,67,137,225,52,247,170,89,106,22,120,243,91,251,172,125,112,225,29,215,24,215,24,72,26,232,217,228,217,4,198,18,
-  253,59,159,2,220,92,41,48,128,13,63,232,140,110,57,81,242,65,239,168,86,0,173,171,133,126,20,240,106,192,171,180,
-  173,90,183,84,82,169,36,48,23,120,222,241,188,3,174,47,179,222,206,122,27,172,49,222,8,111,4,112,69,176,243,216,
-  180,67,244,219,196,227,127,47,179,237,115,36,174,201,196,95,235,168,100,172,61,81,194,94,229,217,46,236,97,9,51,178,
-  84,150,2,115,56,149,168,4,182,214,250,251,105,0,187,102,169,159,0,78,197,235,170,211,236,187,133,47,143,245,25,238,
-  16,0,235,235,230,9,0,167,9,234,10,112,250,91,101,3,248,186,134,172,235,130,71,132,138,188,66,77,113,116,42,247,
-  23,199,178,68,49,129,118,68,47,151,0,62,108,144,4,134,129,85,228,184,3,134,27,221,1,2,95,22,204,121,64,23,
-  185,111,54,13,235,176,165,73,147,175,237,164,134,111,110,18,152,159,237,140,30,38,56,67,2,24,219,43,36,3,24,117,
-  36,0,53,218,136,37,52,188,122,127,163,244,117,58,42,129,145,237,99,113,40,141,3,250,243,31,232,36,154,206,152,150,
-  142,146,65,166,69,38,150,79,136,153,25,51,19,162,155,105,136,211,122,143,199,227,1,238,211,144,22,219,93,98,169,209,
-  14,187,234,38,147,168,173,151,37,145,97,189,35,118,47,117,128,25,109,70,195,233,177,142,20,71,10,208,91,67,97,218,
-  229,12,44,98,131,37,208,112,25,28,212,187,213,14,188,170,4,224,237,44,16,156,79,30,176,138,96,199,254,192,176,21,
-  75,15,118,62,216,185,252,52,251,85,251,34,251,34,104,251,83,37,111,37,47,132,159,203,51,35,207,12,240,28,184,185,
-  249,230,102,176,154,167,21,73,43,2,214,117,231,103,206,207,64,61,226,185,234,185,10,156,49,39,153,147,128,29,150,205,
-  146,64,226,7,61,100,205,215,212,45,219,84,221,4,251,161,172,3,98,244,241,87,48,238,53,238,5,194,116,133,107,160,
-  208,225,103,7,38,185,155,193,43,230,90,151,190,64,67,67,109,212,119,250,181,15,90,26,173,175,195,115,20,162,16,80,
-  71,39,160,130,244,126,108,185,60,169,228,63,145,147,190,27,193,137,47,240,220,32,118,199,12,177,222,183,222,7,239,163,
-  18,232,121,203,10,18,33,33,198,241,149,227,43,240,254,200,108,102,131,125,97,206,157,236,122,134,7,0,206,236,201,38,
-  8,10,4,168,87,90,21,2,40,23,94,225,237,194,69,10,23,129,168,25,65,25,65,25,224,25,238,216,239,216,15,86,
-  94,115,181,185,26,184,71,29,85,71,129,208,92,207,185,237,79,158,183,149,173,215,111,149,248,236,231,84,216,218,198,170,
-  94,170,23,184,19,172,22,86,11,80,207,171,78,170,19,92,73,118,79,112,79,128,43,219,221,141,220,141,192,216,173,191,
-  247,54,64,102,146,172,239,184,214,52,212,122,107,201,93,10,4,125,207,79,24,192,61,133,212,113,128,138,225,101,231,230,
-  155,147,111,14,228,117,4,14,11,28,6,158,52,247,54,247,54,80,150,213,208,106,8,132,208,139,94,57,236,35,217,129,
-  238,191,246,235,82,245,251,71,244,235,82,217,1,150,111,62,199,41,78,129,154,204,5,46,0,117,180,255,242,129,26,173,
-  70,131,167,162,85,194,42,1,214,46,213,80,53,132,43,131,220,63,187,127,134,43,105,158,112,79,56,24,62,150,179,247,
-  0,28,229,197,239,143,27,70,77,125,253,190,248,187,143,235,95,53,48,75,110,133,96,8,11,200,172,190,246,146,0,117,
-  146,14,157,60,220,254,112,251,199,153,147,53,251,169,217,79,193,176,189,207,184,158,113,65,104,157,208,200,208,72,157,179,
-  202,186,37,243,163,31,72,91,41,91,41,72,139,190,153,239,102,62,248,122,233,172,121,179,230,193,202,170,171,182,174,218,
-  10,69,34,141,171,198,85,232,27,46,243,2,202,56,130,246,7,237,7,171,167,102,63,113,228,58,80,31,91,213,119,2,
-  73,72,95,101,157,181,206,194,210,128,180,208,180,80,248,245,51,199,39,142,79,160,198,248,234,15,84,127,0,134,76,127,
-  154,167,129,168,39,242,94,204,123,17,192,90,108,45,190,139,25,170,223,139,143,253,106,152,53,12,162,91,229,189,150,247,
-  26,60,85,111,68,141,17,53,192,61,221,125,200,125,8,182,143,220,89,99,103,13,48,106,240,34,47,66,175,174,121,198,
-  231,25,15,81,95,218,3,237,129,96,13,33,142,56,254,252,0,194,223,135,65,82,9,25,36,205,97,106,132,56,124,69,
-  70,7,52,11,104,6,189,98,243,124,148,231,35,168,227,145,201,231,235,47,103,198,101,198,193,129,111,246,30,221,123,20,
-  14,85,60,252,222,225,247,224,158,225,53,47,212,188,0,237,39,63,88,244,193,162,80,167,112,189,151,235,189,12,225,11,
-  163,198,71,141,135,99,21,15,230,61,152,23,190,102,86,149,89,85,32,107,150,163,174,163,174,74,180,93,7,48,102,138,
-  66,55,45,201,88,125,20,36,134,126,125,61,100,192,229,201,53,163,254,0,34,228,51,8,67,245,182,49,64,75,195,94,
-  130,96,130,35,30,173,209,187,236,186,178,235,32,112,125,30,35,143,1,142,82,225,161,225,161,224,93,152,246,120,218,227,
-  96,53,245,190,232,125,17,8,179,234,90,117,129,118,108,103,59,176,89,43,130,51,76,99,26,48,68,88,119,216,40,129,
-  133,74,144,10,6,30,157,65,93,165,23,188,33,149,37,234,139,35,73,41,141,129,110,33,180,167,230,50,49,16,170,136,
-  154,168,38,194,137,70,142,90,142,90,224,106,43,147,203,109,139,115,26,202,35,79,137,161,60,146,114,183,28,201,192,117,
-  218,224,234,140,161,181,23,160,229,103,1,151,73,38,57,184,124,141,157,165,175,150,190,10,246,132,232,215,162,95,3,239,
-  253,233,51,211,103,130,217,206,211,214,211,22,172,29,105,29,210,58,128,106,237,45,227,45,3,156,213,235,40,159,206,48,
-  251,28,0,223,115,186,78,122,159,84,168,134,182,84,208,16,163,19,217,165,97,233,21,169,33,236,115,217,21,35,83,230,
-  15,168,206,162,56,85,45,170,80,5,78,244,112,180,113,180,1,87,25,245,142,122,7,108,61,115,102,78,15,215,150,38,
-  249,163,171,179,105,101,77,128,178,201,106,19,192,189,23,138,78,142,222,27,189,23,74,53,45,164,10,41,240,108,113,214,
-  119,214,7,119,126,239,1,239,1,176,102,233,231,34,93,213,87,245,129,16,13,13,245,57,74,55,52,123,146,18,122,77,
-  229,209,122,206,202,229,248,252,6,37,187,53,147,106,207,30,0,119,131,27,160,222,150,10,156,234,44,3,178,210,7,153,
-  151,204,75,112,230,121,87,115,87,243,28,250,175,147,174,15,228,3,136,171,96,188,3,224,190,108,53,250,207,38,96,55,
-  84,250,87,239,122,197,249,214,93,167,112,89,135,181,155,246,183,47,173,11,27,47,0,80,47,224,61,0,94,179,205,215,
-  62,104,55,0,99,177,184,250,70,45,158,209,129,192,195,0,60,79,31,0,99,56,221,101,213,11,121,132,49,91,87,234,
-  159,55,190,1,48,126,84,207,9,116,68,201,20,242,215,140,113,0,198,50,205,204,52,73,42,29,70,19,29,96,12,148,
-  94,31,227,132,102,187,26,37,144,53,203,45,4,27,69,79,170,70,0,223,253,18,250,116,128,17,96,20,153,88,127,106,
-  145,188,69,242,66,192,215,142,102,142,102,224,29,107,38,154,137,128,59,27,82,116,103,19,88,182,108,59,44,153,238,99,
-  66,235,106,94,149,121,13,244,145,102,213,179,9,206,35,206,35,144,178,199,187,200,187,8,108,190,166,215,42,0,215,171,
-  11,129,198,166,151,124,25,211,216,172,91,43,77,109,70,234,199,53,2,96,255,22,99,49,192,200,138,206,197,158,101,158,
-  101,159,255,180,168,212,238,106,187,171,149,232,120,172,238,229,103,46,63,3,205,2,42,133,86,10,133,242,222,124,85,242,
-  85,129,112,123,84,203,168,150,64,75,103,115,103,115,176,106,102,108,206,216,12,86,186,14,76,6,102,158,205,60,11,234,
-  117,115,156,57,14,140,22,90,223,134,102,211,217,138,126,125,80,219,123,61,247,197,200,175,105,111,131,52,187,86,25,205,
-  230,86,38,27,2,43,235,174,177,126,61,208,40,106,20,5,130,117,2,244,188,94,119,62,54,196,230,250,117,244,173,9,
-  57,26,235,138,102,65,61,0,181,174,222,175,77,255,223,183,254,142,233,109,112,174,251,227,115,36,45,29,192,220,142,172,
-  68,101,211,68,255,181,196,133,111,126,205,18,177,215,230,92,171,164,85,18,172,4,245,174,122,23,82,95,55,251,155,253,
-  225,204,139,206,81,206,81,96,139,148,193,136,218,1,111,39,62,216,218,3,172,1,112,95,45,174,51,221,23,230,2,180,
-  14,9,236,104,244,50,122,5,87,174,94,161,100,183,146,221,128,109,194,18,234,186,215,91,195,91,3,172,252,86,91,171,
-  45,24,47,9,52,135,10,122,108,65,146,214,227,135,165,2,98,132,233,235,174,245,161,114,101,207,191,113,224,0,163,165,
-  158,247,83,68,87,184,93,217,246,86,62,63,71,247,38,172,215,3,2,155,171,41,106,10,80,130,134,52,132,19,54,233,
-  213,114,28,85,249,85,126,176,141,206,246,107,128,132,119,36,32,56,240,245,221,178,155,173,235,235,219,189,82,223,206,64,
-  128,22,215,236,175,51,135,57,97,71,170,213,41,57,186,228,104,48,188,246,161,246,161,224,10,178,30,176,30,0,149,199,
-  90,97,173,0,242,234,22,129,115,250,252,51,245,115,91,76,235,143,152,108,218,110,185,46,43,164,55,131,121,218,174,250,
-  236,105,138,62,160,162,66,186,162,90,106,40,106,45,125,29,199,202,192,89,115,151,138,85,177,192,98,233,81,60,185,198,
-  209,206,209,14,178,142,90,63,88,63,128,173,83,206,0,52,161,155,248,31,251,254,109,126,207,191,141,12,55,117,36,105,
-  127,24,32,43,146,188,0,111,198,27,203,1,42,60,187,238,72,28,113,60,240,73,129,17,5,6,20,24,0,125,119,61,
-  26,242,104,8,4,220,27,48,55,96,46,128,56,4,96,191,223,126,63,92,74,56,223,238,124,59,248,106,204,244,1,211,
-  7,192,214,159,183,157,216,118,2,202,188,31,144,26,144,10,189,93,194,194,84,234,251,192,253,129,251,193,234,166,123,28,
-  178,178,13,58,218,36,133,16,2,70,130,52,99,95,175,238,109,235,109,11,75,74,166,53,74,107,4,251,74,187,242,184,
-  242,64,245,184,234,145,213,35,97,164,235,249,142,207,119,132,162,79,20,239,82,188,11,128,117,218,58,157,179,18,241,31,
-  23,77,63,103,21,182,10,67,129,232,130,63,23,252,25,70,84,31,121,106,228,41,176,170,126,84,251,163,218,176,243,248,
-  174,101,187,150,129,249,149,122,67,189,1,61,191,142,58,20,117,8,242,29,21,58,94,171,14,203,88,246,111,148,126,127,
-  235,65,144,74,200,171,172,103,61,216,219,24,59,141,157,80,101,127,240,67,193,15,65,153,113,65,241,65,241,112,244,94,
-  87,168,43,20,182,180,200,188,158,121,29,246,141,220,253,201,238,79,96,127,149,3,211,15,76,135,42,239,85,94,94,121,
-  57,212,127,187,193,220,6,115,225,151,77,155,166,108,154,2,87,30,186,250,210,213,151,248,76,74,248,76,19,7,208,56,
-  34,199,189,104,130,148,244,62,155,192,57,0,181,255,79,55,129,249,232,51,71,1,68,77,84,43,1,90,204,13,174,97,
-  223,109,223,205,40,247,251,206,231,157,207,195,158,173,231,173,243,22,120,174,164,237,78,219,13,230,103,142,177,142,177,96,
-  125,144,217,52,179,41,168,241,230,24,115,12,112,89,43,210,126,250,121,171,160,21,104,17,163,158,81,15,184,160,249,219,
-  175,102,27,16,113,180,95,208,10,55,175,54,52,62,204,116,13,205,114,18,45,244,161,42,64,125,171,190,5,175,75,29,
-  87,199,225,216,12,199,227,142,199,33,187,220,58,58,103,230,110,253,16,158,3,72,29,161,180,162,243,241,104,223,49,81,
-  57,29,141,252,163,217,14,208,180,113,224,3,246,115,246,115,92,185,234,77,124,37,241,21,216,176,206,149,236,74,6,179,
-  124,230,196,204,137,96,6,221,236,122,179,43,88,45,50,86,101,172,2,245,188,204,11,200,158,244,108,104,154,83,135,86,
-  132,99,196,144,27,87,185,151,123,129,222,70,136,17,2,188,170,75,245,143,232,235,118,86,31,87,181,92,16,182,32,205,
-  62,211,85,104,84,205,211,170,178,170,12,71,175,100,29,205,58,154,3,18,211,47,231,121,109,56,43,207,119,218,160,236,
-  12,145,19,224,129,138,60,9,80,212,19,178,208,168,96,84,128,3,125,226,47,198,95,4,115,189,179,129,179,1,152,175,
-  36,215,77,174,11,86,207,172,192,172,64,32,81,6,115,177,92,42,177,198,25,227,65,227,65,96,141,54,160,166,56,26,
-  198,116,58,208,1,140,215,165,50,65,150,54,44,205,36,160,50,202,25,13,141,134,64,69,173,119,180,35,99,204,215,153,
-  220,4,142,113,12,108,7,165,130,116,254,125,185,238,55,70,123,182,123,182,131,109,171,158,79,208,0,224,154,77,96,95,
-  191,132,248,32,40,113,189,249,71,203,106,223,253,29,113,203,219,239,138,99,148,3,96,223,46,215,23,101,94,205,60,110,
-  157,91,243,107,174,161,108,239,101,255,245,246,45,239,55,206,254,75,6,114,126,160,225,80,217,210,118,129,254,229,117,250,
-  232,106,1,196,88,66,48,242,114,140,154,11,80,239,243,122,223,23,27,88,108,32,84,223,20,222,60,188,57,152,163,147,
-  58,36,117,0,156,66,114,128,253,46,177,212,248,216,105,230,107,22,171,150,50,207,196,204,146,222,14,111,23,238,227,62,
-  136,47,172,3,161,199,249,150,111,115,208,73,59,1,246,20,83,55,1,142,87,203,118,200,114,225,242,99,245,243,211,230,
-  89,109,255,167,3,172,156,101,127,23,224,233,93,230,43,214,17,235,200,212,105,7,106,94,28,114,113,72,169,159,143,14,
-  190,252,222,229,247,160,192,245,200,17,145,35,160,248,177,152,30,49,61,160,64,183,136,170,17,85,33,236,61,25,192,107,
-  244,204,136,207,136,7,99,191,163,155,163,27,24,129,102,184,25,14,198,34,170,83,29,108,175,211,157,238,96,244,55,6,
-  26,3,193,176,211,155,222,96,156,161,54,181,129,173,114,254,198,114,173,143,223,146,74,178,81,69,235,155,125,70,125,163,
-  62,24,111,106,242,135,130,180,162,21,216,170,210,159,254,64,81,157,240,235,37,61,70,70,17,163,174,81,215,87,49,4,
-  230,72,2,193,72,214,131,125,181,67,110,20,22,255,194,120,83,230,95,176,95,219,133,13,250,123,69,114,102,188,1,151,
-  62,190,227,250,184,149,17,106,132,254,150,209,86,186,194,107,60,38,149,2,195,41,189,77,132,223,166,2,240,123,123,45,
-  122,177,148,78,116,108,23,136,157,205,35,236,90,231,39,186,6,187,6,195,141,50,94,183,215,157,163,183,199,14,112,181,
-  144,84,39,126,137,213,208,180,154,23,79,0,20,202,39,21,156,38,11,236,15,219,28,54,7,36,28,188,24,112,49,0,
-  174,189,122,57,241,114,34,152,207,220,56,122,227,40,208,192,253,152,251,49,176,141,150,64,195,54,141,214,180,6,227,9,
-  99,136,49,4,108,249,121,133,87,192,120,95,238,163,237,21,25,240,103,124,201,83,60,5,70,47,163,169,209,20,108,85,
-  41,71,57,176,205,22,154,112,227,21,65,70,24,31,9,205,188,173,27,35,25,9,134,91,62,111,196,72,111,2,25,194,
-  94,122,248,221,172,207,178,62,227,55,104,109,64,206,132,211,198,151,104,15,144,244,137,84,40,239,66,225,177,134,214,23,
-  213,1,162,146,213,43,0,205,30,11,250,216,126,220,126,28,18,171,164,117,77,235,10,27,174,220,220,122,115,43,120,103,
-  167,188,144,242,2,168,110,158,54,158,54,64,97,205,194,122,74,67,188,221,186,114,148,79,214,55,37,53,114,226,33,185,
-  207,198,5,29,168,244,215,247,63,58,87,133,200,215,19,249,131,110,117,240,77,80,255,145,190,244,5,53,89,122,233,212,
-  51,170,142,170,3,7,174,100,94,205,188,10,36,228,12,216,124,207,201,166,35,150,32,78,86,218,124,149,193,245,255,158,
-  123,249,247,35,60,93,146,51,86,232,55,206,1,212,203,16,126,236,121,15,7,47,11,118,6,59,43,197,62,17,63,232,
-  220,160,115,208,201,222,181,111,215,190,96,235,96,244,51,250,193,190,18,187,219,237,110,7,95,85,250,114,211,151,155,224,
-  248,184,147,67,78,14,129,123,222,14,238,17,220,3,186,231,207,83,51,79,77,40,84,58,224,76,192,25,176,58,232,128,
-  195,125,107,134,208,40,77,45,106,129,154,194,47,252,2,241,75,93,77,93,77,225,199,165,105,147,210,38,193,185,146,222,
-  43,222,43,112,255,51,247,157,184,239,4,60,213,125,120,250,240,116,40,118,111,137,39,74,60,1,96,237,183,246,235,28,
-  133,237,31,101,147,125,172,94,69,109,69,225,122,143,171,207,95,125,30,166,86,249,100,248,39,195,225,215,238,219,223,219,
-  254,30,84,249,34,168,100,80,73,232,217,32,207,196,60,19,161,88,153,192,201,129,147,65,181,16,26,93,117,72,103,100,
-  239,212,185,233,140,140,49,94,154,60,141,143,104,73,75,112,100,90,175,91,175,67,66,136,251,53,247,107,176,253,185,172,
-  210,89,165,225,88,35,87,126,87,126,112,236,149,201,210,70,178,100,174,108,199,217,201,78,198,104,60,232,56,121,192,119,
-  31,22,104,72,207,19,18,105,159,233,26,59,227,175,29,94,155,91,6,33,213,152,42,47,214,245,99,54,157,233,92,32,
-  202,238,180,45,183,45,7,170,138,67,200,77,214,178,22,184,36,252,223,164,171,15,213,135,128,83,87,44,60,185,50,149,
-  1,217,153,26,223,251,178,176,115,55,143,7,100,79,82,190,245,125,123,174,109,132,118,68,39,139,195,106,150,211,37,215,
-  53,250,247,131,0,50,134,72,169,179,99,180,236,111,227,123,177,113,119,231,161,107,243,80,206,87,53,71,9,116,101,221,
-  0,170,83,128,2,249,43,162,52,212,225,123,206,112,38,135,194,179,229,202,228,223,174,185,211,23,16,23,215,129,69,99,
-  29,136,133,228,130,42,89,57,43,18,57,20,161,237,119,149,58,89,183,71,245,247,190,208,21,166,182,218,33,112,1,100,
-  36,73,38,168,99,178,54,68,149,173,31,244,238,94,5,248,236,156,100,120,159,42,105,60,36,131,190,140,15,197,113,35,
-  75,67,65,91,235,73,188,1,186,183,199,171,51,178,85,244,245,168,175,201,8,124,208,50,223,113,54,211,77,204,165,180,
-  163,99,102,67,57,228,249,104,167,155,49,195,244,247,204,236,140,180,56,44,15,232,235,83,88,147,17,180,17,131,97,101,
-  74,229,51,155,125,38,12,96,181,75,230,48,117,181,139,238,112,6,198,142,184,205,125,246,245,132,92,1,8,107,37,80,
-  155,124,155,148,251,22,160,226,141,127,140,54,148,231,202,35,78,155,209,85,2,45,163,163,166,42,173,168,255,111,101,107,
-  41,89,95,15,72,32,102,123,69,2,11,227,51,201,244,219,38,107,104,85,121,121,62,3,62,145,235,30,208,85,50,163,
-  161,253,164,2,16,173,243,253,21,150,137,67,209,205,99,213,3,104,124,176,82,72,254,214,249,91,219,107,61,181,168,198,
-  226,26,139,161,80,137,172,177,89,99,193,124,62,189,66,122,5,224,166,26,167,198,1,182,187,52,161,90,179,238,169,179,
-  106,136,26,2,158,167,204,118,102,59,112,150,181,186,89,221,32,57,206,211,206,211,14,166,253,124,101,253,149,245,112,173,
-  140,103,155,103,27,216,122,231,212,63,207,189,47,235,234,227,151,45,221,236,31,55,236,15,244,67,127,189,76,133,225,177,
-  169,42,15,208,112,159,100,68,223,124,139,181,0,205,250,88,91,0,130,10,105,148,3,134,111,14,192,38,253,90,207,11,
-  163,126,118,197,65,164,175,254,127,47,29,136,247,148,192,193,232,163,73,5,238,207,110,82,151,245,94,71,175,191,178,90,
-  15,251,28,241,166,58,224,243,13,140,140,16,125,99,180,215,36,4,97,122,253,21,211,191,211,72,239,215,167,191,238,209,
-  137,192,58,122,221,234,253,26,77,117,32,227,91,207,86,46,189,167,110,163,239,92,183,169,120,249,62,95,72,31,103,99,
-  125,28,127,149,70,223,158,171,226,82,69,87,28,218,11,91,146,21,202,40,70,241,91,59,181,5,176,82,63,231,221,190,
-  150,1,180,174,64,117,5,160,234,12,163,25,192,186,174,2,129,42,156,215,90,170,191,55,83,235,85,159,254,240,237,79,
-  247,230,25,69,245,107,31,50,166,100,118,226,232,214,251,251,184,190,254,61,245,125,234,161,239,243,163,58,161,212,79,95,
-  103,125,223,141,71,53,77,113,127,29,160,13,211,21,168,98,114,189,204,161,12,99,24,240,181,144,231,136,62,116,246,21,
-  187,210,245,126,209,251,171,159,141,93,117,151,236,102,215,156,247,161,162,87,244,200,198,215,169,64,33,10,21,153,72,128,
-  126,238,190,215,16,238,208,219,216,179,219,245,68,250,182,5,180,189,107,166,159,191,64,253,156,168,219,216,223,219,85,74,
-  195,244,126,46,105,164,203,39,2,25,54,58,104,127,196,0,112,30,21,127,172,251,64,177,159,43,119,216,142,203,215,127,
-  62,254,95,10,60,178,47,120,47,125,190,211,244,142,135,3,180,53,173,41,0,51,251,70,76,9,127,54,252,217,98,223,
-  63,246,244,227,163,30,31,5,238,104,247,53,247,53,88,16,191,32,112,65,32,100,108,185,217,228,102,19,104,60,52,236,
-  237,176,183,225,193,39,34,135,70,14,133,60,133,109,143,218,30,5,235,49,98,137,37,27,251,108,172,145,166,85,163,147,
-  100,250,110,156,53,43,152,21,96,115,155,172,169,89,83,97,227,204,204,224,204,96,112,215,13,124,48,240,65,120,112,97,
-  187,158,237,122,66,223,103,7,180,31,208,30,242,70,197,124,19,243,13,128,101,90,230,127,20,82,245,239,6,32,110,155,
-  27,82,154,37,253,148,244,19,124,57,225,243,73,159,79,130,245,3,54,68,111,136,134,162,7,236,213,236,213,160,219,184,
-  60,102,30,19,170,126,17,108,5,91,192,151,146,209,81,213,52,187,72,208,29,46,249,107,104,155,49,65,50,188,182,111,
-  133,62,210,245,128,58,171,206,194,217,44,247,44,247,44,216,125,205,121,175,243,94,56,124,204,185,203,185,11,110,228,181,
-  238,179,238,3,171,145,100,116,141,167,0,14,214,55,198,2,76,11,144,5,178,190,190,40,144,179,223,170,175,0,188,87,
-  67,180,163,245,211,109,166,97,183,169,167,255,112,0,68,109,17,54,182,169,166,64,107,250,22,18,200,135,81,41,187,41,
-  209,118,27,71,249,78,93,163,63,91,54,15,200,9,129,200,173,152,118,158,23,199,168,253,125,242,58,229,90,236,154,187,
-  164,64,125,21,150,188,0,97,35,196,145,24,159,38,138,123,248,100,113,73,3,98,126,119,94,198,223,188,46,119,138,114,
-  211,247,251,225,185,238,107,22,192,174,241,50,24,176,157,70,168,166,116,194,199,134,22,2,208,234,186,56,135,51,94,21,
-  87,187,212,204,223,185,220,183,171,32,90,127,240,127,243,54,255,255,163,243,207,189,223,223,12,143,72,217,223,65,46,128,
-  231,117,198,234,35,195,24,44,111,175,201,69,55,221,166,75,78,7,37,176,154,236,255,61,167,64,144,30,110,110,245,2,
-  176,6,105,178,132,228,59,222,223,102,252,205,117,99,100,167,61,0,30,210,67,71,235,233,215,58,128,200,17,174,202,251,
-  247,105,134,196,190,186,103,227,85,253,250,57,113,12,108,30,65,127,5,116,151,192,203,254,141,190,152,223,11,253,118,208,
-  72,129,28,6,247,10,237,17,176,42,96,21,199,106,189,94,116,66,209,9,208,189,106,121,111,121,47,20,249,216,85,215,
-  85,23,172,138,169,70,170,1,234,128,185,221,220,14,4,234,64,245,78,179,251,248,28,210,115,186,34,189,192,154,99,205,
-  1,231,64,243,186,121,29,60,89,86,109,171,54,236,153,148,145,148,145,4,115,135,94,63,113,253,4,88,61,164,130,32,
-  14,99,226,42,233,125,105,147,42,235,100,127,159,216,5,127,237,48,90,232,204,104,128,175,183,225,125,128,232,226,146,32,
-  105,223,70,158,199,30,27,229,58,215,123,75,2,156,66,177,114,135,130,94,215,247,171,114,142,132,214,173,235,197,147,235,
-  253,220,255,255,163,245,103,222,198,113,187,221,247,255,234,126,173,59,252,220,223,238,248,254,174,88,185,244,69,153,92,199,
-  17,12,48,178,129,244,76,125,178,93,249,32,169,203,1,2,171,26,231,0,70,218,101,29,188,149,36,207,112,216,229,223,
-  237,255,118,142,114,110,59,106,222,230,254,222,238,62,255,217,247,125,199,81,62,59,145,151,67,14,158,21,255,161,205,147,
-  242,187,215,226,98,151,223,37,187,89,33,167,221,9,190,46,228,56,111,14,21,191,227,197,37,98,135,2,255,125,110,180,
-  187,101,55,195,114,5,176,46,128,67,157,165,119,174,245,82,249,221,107,246,216,132,255,140,250,255,243,23,126,144,254,227,
-  100,206,12,101,183,42,42,15,192,87,157,2,187,7,126,27,248,109,222,137,222,11,214,97,235,48,68,199,169,32,21,4,
-  15,154,145,95,68,126,1,245,67,66,7,135,14,134,128,239,5,210,163,82,56,200,65,48,2,165,244,106,68,72,243,88,
-  102,1,25,96,116,224,180,243,1,231,3,176,113,70,230,165,204,75,112,246,113,239,72,239,72,40,254,105,209,53,69,215,
-  64,239,159,250,76,233,51,5,154,111,109,53,184,213,96,8,202,23,252,90,240,107,0,214,36,107,146,118,237,66,249,159,
-  36,190,38,252,53,182,53,144,177,33,253,151,244,95,224,251,245,115,99,231,198,194,143,247,46,127,120,249,195,16,148,233,
-  174,225,174,1,173,239,137,56,21,113,10,26,167,135,117,13,235,10,225,21,108,39,109,39,65,213,144,137,210,106,189,110,
-  138,181,223,241,64,68,30,176,199,36,211,103,124,43,189,54,102,89,193,156,38,126,97,14,53,135,194,225,205,206,169,206,
-  169,112,192,235,42,233,42,9,23,86,202,220,18,199,61,42,94,197,91,253,5,195,125,177,179,49,20,96,211,227,130,245,
-  94,94,76,174,193,150,6,106,42,192,181,53,70,75,0,117,37,86,184,227,25,161,21,104,130,175,233,170,22,64,193,206,
-  146,217,125,110,133,40,134,242,15,203,86,237,188,195,234,254,78,73,89,81,176,106,129,56,192,139,167,171,165,0,11,198,
-  26,186,164,31,59,240,238,30,64,155,66,57,21,125,158,209,162,72,7,204,21,103,170,92,103,81,248,217,243,122,205,191,
-  169,64,29,58,123,57,67,79,200,117,234,247,43,254,77,243,238,83,111,133,180,98,174,42,144,189,216,147,65,109,0,86,
-  92,119,189,153,29,206,203,39,125,153,184,166,0,45,59,137,2,238,49,64,2,152,64,95,90,101,129,134,2,246,20,232,
-  151,45,68,99,224,251,232,181,115,67,55,41,59,37,96,179,173,215,239,7,102,235,91,201,212,47,214,205,206,17,217,21,
-  5,105,94,238,36,21,227,236,253,14,210,223,79,17,67,96,36,74,101,201,182,77,7,84,161,154,33,206,46,129,83,210,
-  51,226,96,76,138,151,253,157,253,42,246,235,219,220,215,102,57,3,149,74,205,213,195,0,113,15,132,119,10,126,56,248,
-  225,226,227,138,84,138,78,140,78,4,195,166,126,80,63,128,74,229,53,94,203,81,201,249,251,233,19,110,169,165,4,103,
-  15,26,19,7,253,166,174,32,249,116,114,190,156,9,4,32,69,50,113,70,11,13,129,41,107,172,49,214,0,213,117,38,
-  60,67,67,19,210,53,244,177,161,134,178,213,55,22,27,139,193,246,160,84,54,141,71,141,245,198,122,176,109,49,18,141,
-  68,176,187,109,179,109,179,193,62,194,216,102,108,131,224,230,1,246,0,59,132,127,26,52,41,104,18,228,235,17,218,50,
-  180,37,148,207,138,50,163,76,40,255,108,112,247,224,238,16,244,94,250,194,244,133,96,117,203,24,150,49,12,212,78,111,
-  15,111,15,32,63,91,217,10,168,187,4,217,13,214,149,194,39,101,128,154,119,191,12,82,116,60,102,230,49,243,128,171,
-  191,21,110,133,195,183,199,18,159,75,124,14,118,247,207,56,152,113,16,108,245,114,174,212,53,213,100,93,60,252,169,60,
-  79,142,86,177,39,254,189,195,234,160,245,175,203,167,255,223,0,8,250,68,154,149,75,152,18,98,84,124,90,2,218,114,
-  229,100,29,68,79,144,231,33,248,91,113,208,2,127,144,204,185,125,137,4,138,246,87,181,205,123,93,50,232,246,215,229,
-  185,183,189,41,199,111,219,162,245,133,141,24,0,227,105,121,174,109,221,245,179,26,36,235,198,56,38,247,194,216,175,159,
-  191,102,2,177,179,135,104,90,208,190,122,125,206,151,4,132,113,67,175,175,188,178,190,140,234,162,159,140,143,179,3,96,
-  33,51,248,70,232,103,141,194,250,253,204,127,59,201,40,14,224,71,154,52,65,7,208,62,32,207,191,107,167,140,60,162,
-  31,18,7,200,121,77,250,84,32,85,231,46,199,110,211,250,161,102,206,4,78,112,121,33,51,105,95,72,206,175,108,11,
-  9,88,108,11,165,167,197,182,85,32,196,246,237,114,188,246,95,100,96,169,125,183,172,95,91,156,92,55,251,30,253,254,
-  47,178,63,251,22,185,31,246,165,90,159,46,17,253,101,95,38,231,111,95,40,208,101,219,10,201,184,219,23,202,239,218,
-  151,105,61,185,68,246,111,95,170,247,179,64,216,184,108,7,245,239,189,174,211,147,166,144,6,204,109,104,8,4,174,79,
-  236,93,54,220,109,122,231,172,0,133,119,147,68,103,191,233,114,62,85,250,105,186,243,176,92,218,240,175,218,77,223,115,
-  242,142,182,11,190,190,160,251,255,189,231,196,136,214,127,172,22,251,185,33,75,122,7,151,150,208,36,12,53,98,63,252,
-  135,4,30,109,154,231,42,165,37,0,228,127,89,12,205,160,201,106,51,192,171,181,141,76,42,81,41,106,103,213,129,65,
-  91,130,182,64,135,206,145,206,72,39,148,110,29,52,40,104,16,24,197,180,66,77,151,38,81,53,76,154,165,111,124,98,
-  54,51,155,193,209,66,174,237,174,237,176,189,102,86,133,172,10,112,170,152,12,6,11,105,20,54,49,108,34,52,109,215,
-  116,86,211,89,208,125,120,143,238,61,186,67,201,41,101,146,202,36,1,149,213,21,41,31,170,167,213,211,90,25,253,119,
-  122,56,238,112,0,34,61,6,158,107,158,179,158,179,16,151,186,166,252,154,242,48,111,234,92,251,92,59,36,206,79,204,
-  155,152,23,170,189,26,116,49,232,34,180,30,16,113,40,226,16,148,95,21,164,130,20,4,116,48,226,140,56,80,143,74,
-  69,73,77,150,102,231,59,46,86,182,43,29,72,32,216,90,106,8,203,179,82,74,205,186,98,117,177,186,192,57,143,96,
-  214,15,141,115,14,112,14,128,99,115,221,181,221,181,225,250,67,222,215,189,175,131,199,193,203,188,236,86,182,106,0,199,
-  223,48,202,3,172,186,42,6,99,126,11,53,3,96,127,164,81,27,192,234,28,171,233,32,91,167,235,7,94,154,94,175,
-  137,1,179,125,173,33,66,193,122,193,254,115,88,218,237,186,254,33,189,47,43,149,2,176,10,233,138,200,156,181,137,248,
-  229,14,74,71,237,144,45,215,131,144,186,8,22,182,130,244,8,81,196,16,70,62,203,20,157,17,229,16,103,185,143,37,
-  144,145,104,173,226,77,155,100,188,170,217,74,1,24,29,117,6,206,64,63,127,210,188,201,131,134,124,175,102,182,129,144,
-  9,225,121,172,146,0,70,31,198,234,122,147,93,255,95,230,143,84,145,129,125,116,214,14,185,161,51,127,97,178,127,149,
-  148,180,31,64,189,94,64,87,106,214,228,26,226,213,86,103,62,85,217,156,149,158,39,106,91,55,0,190,50,219,150,170,
-  217,168,102,35,227,64,207,55,235,62,83,247,25,48,142,101,141,202,26,5,20,246,182,243,182,3,188,26,194,246,87,33,
-  169,190,207,30,212,37,252,85,190,57,77,106,170,154,10,92,209,172,132,215,116,66,36,137,221,236,6,35,191,254,29,31,
-  157,174,83,244,135,209,149,33,12,1,134,27,47,27,47,3,209,26,202,84,89,230,185,144,70,59,218,129,81,89,99,160,
-  95,147,121,31,198,71,122,128,235,183,66,199,105,120,84,85,85,21,108,3,132,134,217,136,17,86,30,227,67,107,148,53,
-  10,108,79,91,15,91,15,131,49,214,189,209,189,17,84,166,227,81,199,163,96,62,150,233,206,116,131,114,185,154,184,154,
-  0,87,173,51,150,64,14,5,66,97,220,37,251,242,219,36,123,129,220,245,81,209,42,26,92,147,204,242,102,121,112,181,
-  19,86,190,139,9,174,218,174,218,48,189,225,149,188,87,242,66,106,23,161,139,55,132,229,233,128,56,214,207,182,21,199,
-  249,211,107,62,205,23,251,203,255,142,245,220,217,250,151,126,78,21,67,168,221,243,121,69,175,70,56,132,54,185,143,18,
-  40,98,180,109,10,0,37,109,194,122,214,67,247,236,217,145,74,80,61,13,45,107,173,51,234,74,73,207,80,59,117,1,
-  192,168,173,33,78,127,159,183,202,169,237,144,176,5,21,54,100,219,91,87,205,130,255,109,143,205,208,250,162,134,36,140,
-  172,186,0,106,146,253,35,173,47,118,254,51,239,163,93,238,79,184,75,230,16,181,113,9,89,198,75,182,193,0,198,43,
-  186,247,235,37,37,164,19,163,165,215,152,82,98,47,173,98,250,250,125,30,235,244,219,186,127,130,252,237,199,248,65,253,
-  64,120,102,234,29,141,6,8,41,66,75,128,182,37,84,123,128,23,187,169,197,0,13,106,197,204,177,29,180,29,180,183,
-  105,241,72,120,114,120,50,52,26,20,102,134,153,16,249,152,45,198,22,3,222,218,60,202,163,144,49,77,104,87,47,13,
-  240,60,230,121,12,14,55,112,141,119,141,135,195,91,28,7,28,7,224,202,30,43,204,10,131,208,140,208,203,161,151,161,
-  94,211,186,19,234,78,128,14,13,58,78,233,56,5,106,238,170,149,89,43,19,2,118,5,109,8,218,0,96,21,176,196,
-  216,102,104,6,155,187,69,139,251,223,18,61,9,215,248,196,248,4,152,44,77,229,199,103,197,215,140,175,9,223,158,153,
-  155,54,55,13,118,140,216,85,104,87,33,8,122,203,59,213,59,21,106,95,9,125,35,244,13,104,80,57,116,81,232,34,
-  40,249,86,80,169,160,82,16,242,136,241,164,241,36,80,64,211,214,89,218,144,190,196,85,174,2,155,165,121,143,36,237,
-  64,168,223,101,226,228,250,230,203,198,206,74,32,89,77,99,213,117,243,63,117,165,210,100,116,23,108,166,161,3,77,219,
-  37,186,210,21,172,103,37,51,153,186,205,124,214,124,22,78,126,232,137,242,68,193,129,24,103,73,103,73,72,232,226,234,
-  239,234,15,169,85,172,177,214,88,32,17,133,186,250,168,100,70,94,11,146,12,204,156,134,66,7,171,158,248,223,98,80,
-  253,226,151,127,43,65,116,11,207,123,192,28,181,8,224,219,117,65,159,219,191,182,127,221,115,206,136,148,150,165,90,150,
-  130,58,139,34,30,139,120,12,212,149,196,41,137,83,192,168,225,125,207,251,158,118,90,194,254,70,224,161,177,241,234,134,
-  102,117,187,172,123,151,206,72,19,44,219,101,48,31,205,117,115,101,134,14,16,84,54,173,42,217,191,42,115,116,132,189,
-  104,142,198,76,27,122,59,88,154,126,241,26,213,140,106,128,67,157,81,103,128,88,230,50,23,168,198,151,124,9,108,80,
-  229,85,121,32,69,229,85,121,129,116,181,83,237,4,181,84,230,0,176,77,245,86,189,129,61,86,140,21,3,172,55,95,
-  53,95,5,181,202,122,197,122,5,56,99,61,107,61,11,68,242,6,111,0,246,236,64,35,224,110,13,243,212,233,50,209,
-  171,125,212,126,181,31,188,19,85,148,138,2,231,14,211,101,186,192,251,173,53,206,26,7,171,63,189,145,116,35,9,86,
-  15,191,49,249,198,100,48,110,193,254,95,24,45,153,204,54,19,196,118,196,91,177,91,253,107,195,47,126,241,203,63,52,
-  240,104,147,95,103,158,54,0,216,187,27,159,1,220,235,148,204,201,51,150,250,20,160,227,248,208,170,70,39,163,83,68,
-  173,154,223,135,28,13,57,10,205,207,133,95,12,191,8,5,231,219,191,177,127,3,55,54,152,109,204,54,112,121,168,119,
-  130,119,2,156,106,32,35,227,79,215,114,183,115,183,131,107,145,102,9,179,4,120,6,27,99,141,177,144,223,145,191,100,
-  254,146,80,111,127,189,125,245,246,65,179,221,45,220,45,220,80,245,149,106,69,171,21,133,160,159,66,87,132,174,0,16,
-  8,23,232,1,69,255,252,222,141,59,37,62,158,108,77,215,103,171,96,171,0,89,227,51,142,101,28,131,95,126,218,56,
-  113,227,68,88,94,124,89,222,101,121,225,100,244,233,205,167,55,67,240,119,86,17,171,8,148,121,49,112,113,224,98,168,
-  58,51,100,70,200,12,40,61,51,104,116,208,104,200,215,208,126,159,253,62,8,109,102,12,53,134,130,253,11,227,11,227,
-  11,176,181,167,30,245,128,178,218,208,106,222,106,245,146,166,111,75,96,15,123,192,122,73,173,87,235,193,122,67,6,131,
-  153,247,203,32,70,51,85,189,162,94,1,207,122,85,90,149,6,215,187,42,69,165,128,235,152,218,167,246,129,227,19,107,
-  160,53,16,50,189,86,117,171,58,100,60,168,98,84,12,36,175,246,174,241,174,129,227,125,221,11,221,11,225,114,61,239,
-  82,239,82,224,57,249,93,129,184,36,239,147,140,212,136,162,210,124,250,125,97,165,7,146,173,109,236,95,244,126,249,63,
-  28,120,248,72,23,66,0,202,57,173,48,128,117,103,75,38,199,180,142,105,93,170,210,75,165,155,174,106,186,10,242,238,
-  76,126,43,249,45,80,59,83,106,167,212,6,66,100,64,35,166,110,230,252,251,22,71,6,198,217,100,208,29,169,58,16,
-  57,165,43,184,181,52,212,234,143,250,33,124,32,130,237,218,225,47,164,3,148,210,186,9,223,23,8,248,154,255,47,106,
-  186,201,162,234,154,186,6,184,244,60,29,119,54,73,132,64,190,210,249,149,95,1,187,12,166,196,46,100,24,216,116,32,
-  100,207,158,223,224,99,169,242,205,165,186,187,9,45,95,144,151,174,43,29,45,36,224,112,7,152,77,205,166,224,140,55,
-  71,152,35,32,229,101,129,26,79,79,191,242,238,149,119,225,242,80,79,41,79,41,176,189,161,191,31,8,48,243,156,176,
-  133,13,46,38,19,156,173,192,216,201,254,181,225,23,191,248,229,31,18,120,180,214,232,109,187,102,51,176,38,3,148,47,
-  36,44,5,79,191,47,202,183,223,179,234,51,128,2,41,161,237,140,135,140,135,160,106,173,224,124,193,249,160,224,232,128,
-  227,1,199,225,198,5,179,140,89,6,174,30,247,38,122,19,33,101,166,121,205,188,6,153,55,173,123,172,123,192,155,41,
-  165,111,30,211,7,166,217,109,26,29,105,212,190,81,123,24,88,119,80,231,65,157,161,120,247,146,15,149,124,8,140,170,
-  246,17,82,126,179,174,90,87,1,212,88,53,246,63,144,113,250,159,35,26,202,96,28,50,164,145,186,135,209,3,82,182,
-  36,61,149,244,20,252,90,113,235,198,173,27,97,83,196,198,74,27,43,193,137,98,199,103,29,159,5,25,155,179,58,100,
-  117,128,224,39,164,194,145,167,147,64,25,34,11,5,124,16,240,1,4,95,51,134,27,195,193,222,135,241,140,7,99,142,
-  145,223,200,15,172,23,135,194,186,174,86,168,21,96,190,41,60,225,86,63,245,145,250,8,60,75,104,70,51,240,212,148,
-  121,11,222,65,170,174,170,11,158,167,84,99,213,24,60,215,132,6,213,187,76,32,18,222,207,212,83,234,41,48,183,50,
-  154,209,96,181,211,115,47,106,235,231,35,255,173,219,108,88,195,45,21,152,184,123,164,167,163,227,115,146,225,115,62,30,
-  123,204,255,96,248,229,255,112,224,209,86,255,145,7,224,209,86,230,92,128,217,215,218,20,175,146,89,37,211,118,176,255,
-  61,149,175,87,190,14,198,43,23,27,94,108,8,84,200,152,151,49,15,8,22,218,103,200,102,19,250,119,229,214,57,5,
-  70,54,43,203,95,29,128,154,123,46,202,191,158,127,144,123,255,198,239,236,132,175,130,227,107,2,191,221,235,255,78,197,
-  60,64,31,239,75,82,153,241,62,109,25,150,1,206,117,86,113,171,56,120,31,177,62,177,62,129,141,135,82,183,165,110,
-  131,165,193,201,219,146,183,1,207,74,2,72,104,163,51,236,114,236,93,109,98,27,214,122,101,144,35,196,222,244,175,13,
-  191,248,197,47,255,144,192,163,77,211,156,175,238,251,66,148,250,204,154,146,229,169,238,107,61,45,35,77,96,96,107,67,
-  63,250,129,49,66,28,77,111,69,134,51,28,172,245,194,202,100,124,173,127,88,99,143,13,223,96,180,138,183,56,142,94,
-  37,101,253,11,145,53,35,84,132,162,116,187,55,30,12,126,48,24,163,75,68,215,130,93,11,66,129,81,133,107,20,174,
-  1,96,149,178,74,1,200,160,53,254,231,247,110,220,105,241,25,98,109,64,133,215,28,108,181,108,181,192,17,151,209,51,
-  163,39,156,41,120,186,236,233,178,112,120,255,161,228,67,201,112,226,202,241,33,199,135,192,133,13,23,78,92,56,1,231,
-  86,156,223,115,126,15,120,182,120,159,244,62,9,212,200,229,232,251,158,36,221,20,106,248,120,204,125,44,19,122,82,104,
-  54,93,98,51,253,185,14,250,181,110,223,245,241,244,27,190,185,20,213,245,54,60,219,0,255,43,153,44,199,225,170,47,
-  25,189,171,253,164,250,243,254,86,245,53,192,180,155,134,56,92,85,99,15,248,31,8,191,252,223,147,214,62,199,242,87,
-  0,251,91,178,158,230,28,15,252,218,142,157,190,223,62,93,177,105,183,166,221,224,222,149,193,105,193,105,96,253,114,185,
-  242,229,202,192,85,119,156,59,14,48,52,180,242,78,179,51,249,229,143,2,14,9,116,118,11,164,214,178,172,93,214,46,
-  112,127,99,181,180,90,130,107,160,229,180,156,144,220,194,243,186,231,117,248,114,254,213,105,87,167,193,165,98,238,95,221,
-  191,130,205,55,223,196,14,176,114,152,52,245,246,124,82,244,117,86,237,219,145,15,248,197,47,126,241,203,127,47,240,240,
-  57,138,137,0,143,68,8,134,126,78,43,113,0,131,150,254,110,79,190,153,134,190,62,253,178,217,249,164,220,238,48,224,
-  249,66,211,130,234,150,206,211,53,245,28,135,84,74,3,92,126,86,29,3,232,123,149,116,190,231,251,234,137,21,2,203,
-  151,41,95,134,70,221,91,245,180,245,180,65,131,243,141,174,52,186,2,33,95,135,111,8,151,158,142,56,25,114,162,231,
-  48,248,43,32,127,16,144,24,243,140,121,0,246,210,246,210,128,195,152,110,76,135,139,19,79,175,59,189,14,22,124,254,
-  195,184,31,198,193,250,234,235,54,173,219,4,238,5,158,171,158,171,96,244,205,181,55,19,64,149,151,125,90,117,37,0,
-  80,117,53,123,131,230,16,178,158,151,231,196,250,88,238,179,87,135,47,238,239,165,34,225,254,72,130,70,199,253,114,207,
-  50,231,74,179,93,122,81,193,38,167,4,8,38,57,241,77,217,94,91,40,217,215,243,79,74,163,253,233,25,2,51,59,
-  254,178,100,116,207,151,149,166,84,51,62,118,150,255,134,251,229,255,174,180,105,175,255,136,0,40,157,100,21,6,88,119,
-  169,88,223,232,141,209,27,203,214,124,121,94,179,250,205,234,67,190,185,41,19,83,38,130,74,72,126,36,249,17,0,161,
-  187,70,105,94,125,191,252,103,3,142,211,122,82,243,18,25,84,233,41,107,125,99,125,3,206,78,230,243,230,243,96,150,
-  82,1,42,0,86,141,73,25,145,50,2,214,244,187,89,248,102,97,48,186,234,138,119,65,0,199,53,209,159,253,54,74,
-  127,206,146,71,212,99,242,51,107,219,250,47,181,95,252,226,151,127,90,224,161,171,7,234,58,64,104,91,163,15,192,235,
-  221,196,209,124,161,128,56,150,193,31,200,158,220,37,197,225,204,172,40,142,100,74,5,9,44,46,111,20,135,242,164,112,
-  72,16,31,32,244,160,9,131,197,16,158,120,91,232,245,46,61,105,220,4,72,119,72,67,184,194,184,14,80,190,128,12,
-  46,121,225,180,101,1,244,173,26,92,55,40,127,80,254,200,243,245,242,212,171,85,175,22,116,234,209,37,168,75,16,212,
-  248,184,230,139,53,95,132,192,205,33,191,132,252,2,96,29,181,142,2,168,39,212,19,255,167,3,17,95,229,35,90,83,
-  175,61,103,123,14,64,6,249,165,60,146,120,52,241,40,108,44,178,225,235,13,95,195,202,15,86,100,173,200,130,11,191,
-  92,104,126,161,57,80,80,38,189,26,175,232,189,185,1,212,17,185,239,123,22,202,253,251,106,164,4,168,137,139,164,82,
-  161,52,95,190,103,176,84,32,60,77,165,34,226,122,78,142,193,81,92,2,16,231,36,161,193,115,62,45,243,43,50,151,
-  10,142,220,25,172,7,26,245,229,1,0,87,136,49,21,192,243,153,37,180,143,69,214,230,241,47,98,191,248,229,118,210,
-  90,247,94,25,143,235,55,2,1,30,185,105,190,3,48,175,64,139,45,149,67,43,135,218,221,143,157,172,90,169,106,37,
-  176,93,191,240,210,133,151,128,39,50,90,103,180,6,244,96,86,212,93,26,128,231,151,91,45,177,111,224,232,113,233,77,
-  81,155,101,160,169,183,152,101,179,108,224,90,97,142,52,71,130,121,65,57,149,19,142,109,117,212,119,212,135,111,198,94,
-  91,125,109,53,100,92,179,202,89,229,192,56,165,247,231,1,88,209,90,244,109,111,61,255,36,99,99,236,82,255,37,247,
-  139,95,252,242,15,13,60,178,3,16,95,102,196,2,8,123,82,50,40,205,158,21,7,52,234,126,9,48,146,98,185,7,
-  224,122,45,225,199,78,26,40,142,229,141,169,52,1,112,12,145,0,68,45,49,63,151,221,173,219,253,7,191,235,131,218,
-  212,3,8,234,43,204,84,173,46,169,230,0,207,59,172,170,0,77,134,71,52,11,27,25,54,50,176,223,189,91,238,29,
-  118,239,48,104,83,185,221,220,118,115,161,198,71,53,175,212,188,2,33,227,195,43,134,87,4,80,243,212,60,0,107,169,
-  158,194,41,77,132,255,251,216,174,244,249,104,186,73,108,215,108,215,128,30,214,44,107,22,92,207,123,245,194,213,11,176,
-  245,240,150,143,183,124,12,107,11,174,249,116,205,167,112,106,218,153,110,103,186,129,245,149,149,108,37,131,205,55,160,46,
-  42,231,253,79,250,90,2,203,217,251,229,126,124,26,46,153,180,139,19,124,77,159,177,91,252,139,203,47,126,249,175,7,
-  30,190,202,243,113,0,91,132,56,160,51,94,10,120,217,246,152,237,177,199,199,12,77,108,210,187,73,111,168,159,17,218,
-  48,180,33,88,239,94,158,121,121,38,80,210,61,219,61,27,8,215,77,223,202,15,177,186,43,226,171,108,184,52,9,202,
-  92,177,71,106,158,170,160,42,128,183,164,149,215,202,11,174,167,172,245,214,122,48,23,90,23,173,139,112,233,134,123,130,
-  123,2,204,13,185,174,174,43,184,248,184,251,51,247,103,96,251,60,103,98,40,165,139,84,130,123,6,75,79,230,186,5,
-  198,91,242,239,53,21,252,151,222,47,126,241,203,63,60,240,248,111,75,51,77,247,23,172,33,62,202,4,136,254,140,246,
-  0,15,95,84,14,128,161,79,88,45,0,234,246,9,235,22,242,112,200,195,246,237,213,155,87,91,82,109,9,52,81,205,
-  6,53,27,4,117,143,215,187,88,239,34,228,239,81,112,87,193,93,96,204,178,127,102,255,12,64,77,147,169,235,106,139,
-  218,2,160,214,170,181,255,232,128,196,87,193,208,172,42,198,28,99,14,128,49,197,152,2,96,180,48,90,128,187,159,35,
-  217,145,12,167,155,158,234,114,170,11,108,141,220,178,119,203,94,248,181,240,214,45,91,183,192,197,5,23,167,92,156,2,
-  214,62,53,72,13,2,219,69,189,247,234,57,159,144,172,151,36,224,88,253,154,64,151,62,174,38,85,163,109,163,4,10,
-  101,62,227,27,60,228,23,191,248,229,159,35,109,110,169,8,22,55,173,87,1,214,61,85,100,93,84,201,168,146,21,191,
-  120,185,121,243,122,205,235,65,129,180,27,215,110,92,3,245,118,210,220,164,185,64,138,85,203,170,5,224,135,88,221,17,
-  11,107,211,118,196,174,155,212,221,58,144,139,231,38,55,65,53,83,159,170,79,193,218,34,172,126,222,109,86,53,171,26,
-  184,43,88,17,86,4,88,75,84,21,85,5,46,61,229,254,210,253,37,204,175,144,56,48,113,32,156,222,227,42,239,42,
-  15,182,15,114,254,158,170,35,44,131,19,134,73,176,56,166,19,229,0,172,130,177,243,252,183,196,47,126,241,203,127,59,
-  223,242,63,68,54,54,186,245,117,171,27,0,55,159,14,168,1,48,27,235,1,128,149,135,237,107,0,186,12,117,158,117,
-  46,117,46,29,120,99,231,147,123,140,61,70,157,161,123,243,236,123,117,223,171,129,243,139,166,22,121,189,200,235,80,243,
-  240,61,39,238,57,1,245,206,220,55,237,190,105,80,177,93,197,114,21,203,65,190,171,249,247,229,223,7,246,212,160,153,
-  65,50,163,164,49,141,1,212,30,181,71,66,30,9,122,212,219,122,120,208,89,153,186,233,155,167,113,7,76,149,24,43,
-  205,30,99,52,49,154,0,176,146,149,0,198,61,198,61,0,198,101,227,50,176,212,42,108,21,6,199,192,204,90,153,181,
-  224,178,243,82,192,165,0,56,208,251,64,193,3,5,97,79,252,238,221,187,119,67,66,112,124,80,124,16,164,30,76,223,
-  145,190,3,232,38,153,76,219,6,6,49,8,108,101,244,175,71,2,100,61,46,199,176,41,78,160,81,159,95,144,137,179,
-  235,250,209,27,32,235,170,41,67,196,158,89,215,208,191,136,252,226,151,127,92,192,49,64,255,113,85,111,195,0,238,91,
-  166,154,2,148,57,82,190,123,193,55,10,190,1,121,119,219,146,108,73,160,194,29,27,28,27,0,183,149,207,202,7,24,
-  68,16,113,27,237,100,252,41,45,246,207,148,127,217,107,248,255,121,109,232,64,193,184,237,121,221,58,103,196,119,125,44,
-  253,61,223,192,178,4,61,255,232,7,117,88,29,6,213,92,104,197,213,8,9,40,204,64,169,196,123,26,89,131,172,65,
-  224,45,171,22,170,133,96,46,83,225,42,28,142,111,113,124,232,248,16,150,221,76,238,144,220,1,46,140,114,151,119,151,
-  7,219,219,122,255,190,123,21,8,176,244,45,185,239,147,107,10,137,128,63,224,240,139,95,252,242,207,203,199,252,143,151,
-  150,90,177,6,235,57,13,158,64,128,252,249,132,193,169,205,88,153,198,221,127,136,53,18,160,225,231,202,0,200,51,34,
-  248,187,128,103,2,158,129,252,173,243,215,202,95,11,202,221,87,222,40,111,64,229,124,85,146,170,36,65,249,140,10,113,
-  21,226,160,72,254,34,115,138,204,129,232,23,163,119,70,239,132,144,164,144,74,33,149,192,184,18,48,38,96,12,128,209,
-  221,232,14,160,7,88,145,61,225,247,32,7,1,52,95,253,111,180,140,37,100,122,182,81,91,166,108,171,115,234,28,0,
-  47,240,2,176,206,58,97,157,0,239,46,79,186,39,29,50,43,101,102,102,102,66,242,172,164,250,73,245,225,124,179,115,
-  243,206,205,131,132,6,9,131,18,6,65,194,244,248,101,241,203,224,194,186,243,121,206,231,129,212,153,105,103,211,206,130,
-  181,75,6,126,217,46,235,27,126,226,150,144,243,107,129,70,37,222,39,85,147,245,147,196,240,206,105,202,57,128,205,19,
-  212,171,0,25,167,2,199,200,215,86,157,246,47,26,191,248,229,159,46,173,15,106,63,186,40,0,177,134,36,16,234,216,
-  135,27,27,141,141,67,243,61,121,176,113,106,227,84,104,180,33,162,99,68,71,80,7,47,151,186,92,10,40,239,42,225,
-  42,1,152,164,144,194,111,52,174,166,102,181,114,106,7,90,253,142,14,87,196,231,104,187,111,227,232,223,105,139,101,101,
-  111,125,14,255,173,1,132,47,181,246,27,228,76,244,175,111,182,83,184,158,127,20,166,207,47,70,239,199,163,207,239,154,
-  190,14,233,250,255,151,117,165,226,130,254,94,17,149,166,210,0,183,158,19,18,39,159,87,43,52,141,237,72,126,226,39,
-  80,251,213,72,53,18,172,242,170,134,170,1,102,7,249,158,249,174,4,34,102,123,101,41,11,172,242,60,194,35,112,115,
-  154,55,202,27,5,219,30,77,235,159,214,31,54,239,77,123,43,237,45,72,235,97,90,166,149,3,82,229,59,63,19,32,
-  238,41,129,50,63,185,83,32,176,103,247,250,7,167,250,197,47,126,241,7,30,255,41,195,91,75,219,61,61,183,65,141,
-  7,8,15,102,13,64,221,102,164,1,60,28,166,150,2,180,138,87,59,0,202,31,85,63,1,132,96,188,72,67,26,66,
-  200,55,65,197,131,138,67,212,181,168,250,81,245,33,255,128,2,135,10,28,130,130,251,11,182,46,216,26,10,196,21,168,
-  91,160,46,196,244,200,183,42,223,42,200,147,150,167,89,158,102,16,182,36,236,82,216,37,8,236,21,244,98,208,139,96,
-  251,209,88,111,172,7,181,144,197,44,6,115,187,185,220,92,14,174,48,215,105,215,105,200,28,153,81,59,163,54,220,172,
-  120,243,200,205,35,144,212,52,113,115,226,102,72,220,159,216,55,177,47,92,111,122,125,239,245,189,144,242,65,114,133,228,
-  10,144,81,82,154,63,61,173,244,228,238,6,250,124,167,232,27,171,29,15,98,180,27,96,1,100,172,148,237,145,135,228,
-  206,255,220,145,76,128,101,19,229,122,28,249,85,154,254,221,195,99,47,251,23,135,95,252,242,63,85,218,116,200,169,225,
-  11,79,177,6,3,196,109,42,120,50,82,69,170,106,11,95,42,218,106,94,171,121,80,232,196,141,46,55,186,128,58,34,
-  208,29,138,155,11,205,133,64,13,202,82,22,200,167,29,241,36,221,235,177,83,15,218,115,43,165,84,14,11,226,211,23,
-  123,244,182,180,118,220,255,252,240,214,127,93,73,241,5,16,97,122,27,152,43,224,56,40,52,237,106,158,14,136,124,115,
-  126,74,233,255,103,234,253,134,74,69,90,189,171,7,2,134,232,227,115,112,140,99,128,141,245,172,7,46,233,1,135,87,
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+  224,131,50,253,254,251,101,12,91,1,228,200,33,77,110,190,89,42,56,1,56,221,21,165,115,186,197,109,148,134,155,15,
+  93,161,235,255,207,197,24,201,27,217,82,123,45,220,173,33,160,95,215,113,9,166,14,215,209,197,119,77,116,11,201,90,
+  160,56,93,127,241,138,246,239,230,176,50,75,66,197,80,161,203,128,154,255,129,90,122,197,91,110,145,106,183,221,38,241,
+  217,179,75,213,27,111,84,218,123,21,55,170,108,80,37,131,42,154,4,38,30,7,178,126,90,84,193,160,242,6,17,213,
+  214,162,178,154,202,104,98,61,70,41,88,210,177,32,246,147,46,1,138,209,205,132,34,61,52,40,114,83,158,142,232,132,
+  143,74,186,247,70,200,218,8,93,161,43,116,133,174,32,9,143,155,53,200,167,11,254,88,86,164,12,144,29,146,117,118,
+  224,86,93,244,215,78,23,172,222,18,170,225,8,93,161,43,116,133,174,204,113,91,49,120,188,58,29,198,156,162,153,115,
+  178,118,133,90,176,52,23,180,75,200,162,51,6,157,50,232,132,118,177,146,142,105,55,234,81,141,208,112,88,23,234,29,
+  212,116,64,247,86,79,208,48,63,123,181,139,150,110,215,237,160,127,153,80,162,81,14,86,104,55,238,120,45,44,98,180,
+  69,158,61,50,100,93,135,174,203,112,253,31,97,80,138,245,216,112,190,26,0,0,0,37,116,69,88,116,100,97,116,101,
+  58,99,114,101,97,116,101,0,50,48,49,54,45,48,55,45,50,55,84,50,48,58,50,54,58,51,49,45,48,52,58,48,
+  48,174,172,147,128,0,0,0,37,116,69,88,116,100,97,116,101,58,109,111,100,105,102,121,0,50,48,49,54,45,48,55,
+  45,50,55,84,50,48,58,50,54,58,51,49,45,48,52,58,48,48,223,241,43,60,0,0,0,58,116,69,88,116,115,118,
+  103,58,98,97,115,101,45,117,114,105,0,102,105,108,101,58,47,47,47,99,111,114,101,47,102,105,108,101,115,47,109,101,
+  100,105,97,47,104,105,103,97,110,47,108,111,103,111,47,104,105,103,97,110,46,115,118,103,214,196,144,254,0,0,0,0,
+  73,69,78,68,174,66,96,130,
 };
 }
 namespace Sprite {
diff --git a/icarus/data/icarus.ico b/icarus/data/icarus.ico
index b810951d9bb39cd6dcc339229acd2e5fa97f00e7..b5859acfc876a4480ca115786c8e2a2431b4f4dc 100644
GIT binary patch
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