[Mlir-commits] [mlir] 9420fc4 - [MLIR] SM_90 integratation test of TMA `128x64xf16` and `64x64xf16` with 128b Swizzling (#65954)

llvmlistbot at llvm.org llvmlistbot at llvm.org
Fri Sep 15 00:30:19 PDT 2023


Author: Guray Ozen
Date: 2023-09-15T09:30:15+02:00
New Revision: 9420fc4956d0d6b37d87c52dcbadeb2416b5488a

URL: https://github.com/llvm/llvm-project/commit/9420fc4956d0d6b37d87c52dcbadeb2416b5488a
DIFF: https://github.com/llvm/llvm-project/commit/9420fc4956d0d6b37d87c52dcbadeb2416b5488a.diff

LOG: [MLIR] SM_90 integratation test of TMA `128x64xf16` and `64x64xf16` with 128b Swizzling (#65954)

The #65953 added a test `128x64xf16` that does a single TMA load. This
PR adds more complex test that does 2 additional TMA loads with 128B
Swizzling:
```
    TMA Load: Matrix-A[0:128][0:64]
    TMA Load: Matrix-B[0:64][0:64]
    TMA Load: Matrix-B[64:128][0:64]
```

The program tests the loaded data for Matrix-B.

Added: 
    mlir/test/Integration/GPU/CUDA/sm90/tma_load_64x64_swizzle128b.mlir

Modified: 
    

Removed: 
    


################################################################################
diff  --git a/mlir/test/Integration/GPU/CUDA/sm90/tma_load_64x64_swizzle128b.mlir b/mlir/test/Integration/GPU/CUDA/sm90/tma_load_64x64_swizzle128b.mlir
new file mode 100644
index 000000000000000..140b0c2ecd77aa7
--- /dev/null
+++ b/mlir/test/Integration/GPU/CUDA/sm90/tma_load_64x64_swizzle128b.mlir
@@ -0,0 +1,247 @@
+// RUN: mlir-opt %s --convert-nvgpu-to-nvvm \
+// RUN:         -convert-linalg-to-loops \
+// RUN:         -canonicalize -cse \
+// RUN:         -gpu-kernel-outlining \
+// RUN:         -canonicalize -cse \
+// RUN:         -convert-vector-to-scf  \
+// RUN:         -canonicalize -cse \
+// RUN:         -lower-affine \
+// RUN:         -canonicalize -cse \
+// RUN:         -convert-scf-to-cf \
+// RUN:         -canonicalize -cse \
+// RUN:         -convert-nvvm-to-llvm \
+// RUN:         -canonicalize -cse \
+// RUN:         -convert-nvgpu-to-nvvm \
+// RUN:         -canonicalize -cse \
+// RUN:         -convert-scf-to-cf  \
+// RUN:         -convert-vector-to-llvm \
+// RUN:         -canonicalize -cse \
+// RUN:         -convert-math-to-llvm \
+// RUN:         -canonicalize -cse \
+// RUN:         -lower-affine \
+// RUN:         -convert-index-to-llvm=index-bitwidth=32 \
+// RUN:         -convert-arith-to-llvm \
+// RUN:         -finalize-memref-to-llvm='use-opaque-pointers=1' \
+// RUN:         -convert-func-to-llvm \
+// RUN:         -canonicalize -cse \
+// RUN:         -expand-strided-metadata --nvvm-attach-target="module=main_kernel features=+ptx80 chip=sm_90 O=3" \
+// RUN:  | mlir-opt -pass-pipeline='builtin.module(gpu.module(strip-debuginfo,convert-gpu-to-nvvm,convert-index-to-llvm{index-bitwidth=32},canonicalize,cse))' \
+// RUN:  | mlir-opt --gpu-to-llvm --gpu-module-to-binary -canonicalize -cse -reconcile-unrealized-casts \
+// RUN:  | mlir-cpu-runner \
+// RUN:   --shared-libs=%mlir_cuda_runtime \
+// RUN:   --shared-libs=%mlir_runner_utils \
+// RUN:   --entry-point-result=void \
+// RUN:  | FileCheck %s
+
+// This does 3 TMA loads with 128B Swizzling : 
+//    TMA Load: Matrix-A[0:128][0:64]
+//    TMA Load: Matrix-B[0:64][0:64]
+//    TMA Load: Matrix-B[64:128][0:64]
+
+// Test swizzling with TMA load
+// 128B Swizzle Each numbered cell is 16 byte 
+// |-------------------------------|
+// | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 
+// | 1 | 0 | 3 | 2 | 5 | 4 | 7 | 6 |
+// | 2 | 3 | 0 | 1 | 6 | 7 | 4 | 5 |
+// | 3 | 2 | 1 | 0 | 7 | 6 | 5 | 4 | 
+// | 4 | 5 | 6 | 7 | 0 | 1 | 2 | 3 |
+// | 5 | 4 | 7 | 6 | 1 | 0 | 3 | 2 | 
+// | 6 | 7 | 4 | 5 | 2 | 3 | 0 | 1 |
+// |-------------------------------| 
+// | ... pattern repeats ...       |
+// |-------------------------------|
+
+
+!barrierType = !nvgpu.mbarrier.barrier<memorySpace = #gpu.address_space<workgroup>>
+!tokenType = !nvgpu.mbarrier.token
+
+!lhs = memref<128x64xf16>
+!shmemlhs = memref<128x64xf16, 3>
+!lhsTensorMap = !nvgpu.tensormap.descriptor<tensor = !shmemlhs, swizzle = swizzle_128b, l2promo=none, oob=zero, interleave=none>
+
+!rhs = memref<128x64xf16>
+!shmemrhs = memref<128x64xf16, 3>
+!rhsTensorMap = !nvgpu.tensormap.descriptor<tensor = !shmemrhs, swizzle = swizzle_128b, l2promo=none, oob=zero, interleave=none>
+
+module @mymod {
+  func.func private @printMemrefF32(memref<*xf32>)
+  memref.global "private" @bufferLhsGlobal : !shmemlhs
+  memref.global "private" @bufferRhsGlobal : !shmemrhs
+  llvm.func @printf(!llvm.ptr<i8>, ...) -> i32
+  func.func @main() {
+    %c32768 = arith.constant 32768 : index
+    %c-1_i32 = arith.constant -1 : i32
+    %c10000000 = arith.constant 10000000 : index
+    %c64 = arith.constant 64 : index
+    %c1 = arith.constant 1 : index
+    %c32 = arith.constant 32 : index
+    %c0 = arith.constant 0 : index
+    %c128 = arith.constant 128 : index
+    %c8 = arith.constant 8 : index
+    
+    // Step 1. Allocate host data and initialize it.
+    %lhs = memref.alloc() : !lhs
+    %rhs = memref.alloc() : !rhs
+    %lhs32 = memref.alloc() : memref<128x64xf32>
+    %rhs32 = memref.alloc() : memref<64x128xf32>
+    scf.for %i = %c0 to %c64 step %c1 {
+      scf.for %j = %c0 to %c128 step %c1 {
+        %v0 = arith.muli %i, %c128 : index
+        %v00 = arith.addi %v0, %j : index     
+        %v01 = arith.divui %v00, %c8 : index 
+        %v2 = arith.index_cast %v01 : index to i32
+        %vR = arith.sitofp %v2 : i32 to f16      
+        memref.store %vR, %rhs[%i, %j] : !rhs      
+        %vR32 = arith.extf %vR : f16 to f32      
+        memref.store %vR32, %rhs32[%i, %j] : memref<64x128xf32>      
+      }
+    }
+    scf.for %j = %c0 to %c128 step %c1 {
+      scf.for %i = %c0 to %c64 step %c1 {    
+        %b0 = arith.muli %j, %c64 : index
+        %b00 = arith.addi %b0, %i : index
+        %b01 = arith.divui %b00, %c8 : index
+        %v1 = arith.index_cast %b01 : index to i32
+        %vL = arith.sitofp %v1 : i32 to f16
+        memref.store %vL, %lhs[%j, %i] : !lhs
+        %vL32 = arith.extf %vL : f16 to f32
+        memref.store %vL32, %lhs32[%j, %i] : memref<128x64xf32>
+      }
+    }
+
+    // Step 2. Print on the host
+    %lhs32_unranked = memref.cast %lhs32 : memref<128x64xf32> to memref<*xf32>
+    call @printMemrefF32(%lhs32_unranked) : (memref<*xf32>) -> ()
+    %rhs32_unranked = memref.cast %rhs32 : memref<64x128xf32> to memref<*xf32>
+    call @printMemrefF32(%rhs32_unranked) : (memref<*xf32>) -> ()
+    
+    // Step 3. Copy host to device
+    %0 = gpu.wait async
+    %d_glbmem_lhs, %asyncToken = gpu.alloc async [%0] () : !lhs
+    %d_glbmem_rhs, %asyncToken_2 = gpu.alloc async [%0] () : !rhs
+    %1 = gpu.memcpy async [%0] %d_glbmem_lhs, %lhs : !lhs, !lhs
+    %2 = gpu.memcpy async [%0] %d_glbmem_rhs, %rhs : !rhs, !rhs
+    
+    // Step 4. Create TMA tensor descriptor
+    %d_lhs_unranked = memref.cast %d_glbmem_lhs :!lhs  to memref<*xf16>
+    %d_rhs_unranked = memref.cast %d_glbmem_rhs :!rhs  to memref<*xf16>
+
+    %d_lhsTensorMap = nvgpu.tma.create.descriptor %d_lhs_unranked box[%c128, %c64] : memref<*xf16> -> !lhsTensorMap
+    %d_rhsTensorMap = nvgpu.tma.create.descriptor %d_rhs_unranked box[%c64, %c64] : memref<*xf16> -> !rhsTensorMap
+
+    // Step 5. Launch a GPU kernel
+    gpu.launch blocks(%arg0, %arg1, %arg2) in (%arg6 = %c1, %arg7 = %c1, %arg8 = %c1) threads(%arg3, %arg4, %arg5) in (%arg9 = %c128, %arg10 = %c1, %arg11 = %c1) {
+      %5 = gpu.block_dim  x
+      %6 = gpu.thread_id  x
+      %lhsShmem = memref.get_global @bufferLhsGlobal : !shmemlhs
+      %rhsShmem = memref.get_global @bufferRhsGlobal : !shmemrhs
+      %rhsShmem2 = memref.subview %rhsShmem[%c32, %c0][%c32, %c128][%c1, %c1] : !shmemrhs to memref<?x?xf16, strided<[?, ?], offset: ?>, 3>
+    
+      // Step 6. Initialize the mbarrier
+      %9 = nvgpu.mbarrier.create -> !barrierType
+      nvgpu.mbarrier.init %9, %5 : !barrierType
+      %10 = arith.cmpi eq, %6, %c0 : index
+      
+      
+      // Step 7. First thread does TMA load
+      scf.if %10 {
+        gpu.printf "[GPU] TMA SIZE %d\0A" %c32768 : index
+        nvgpu.tma.async.load %d_lhsTensorMap[%c0, %c0], %9 to %lhsShmem : !lhsTensorMap, !barrierType -> !shmemlhs
+        nvgpu.tma.async.load %d_rhsTensorMap[%c0, %c0], %9 to %rhsShmem : !rhsTensorMap, !barrierType -> !shmemrhs
+        nvgpu.tma.async.load %d_rhsTensorMap[%c64, %c0], %9 to %rhsShmem2 : !rhsTensorMap, !barrierType -> memref<?x?xf16, strided<[?, ?], offset: ?>, 3>
+        nvgpu.mbarrier.arrive.expect_tx %9, %c32768 : !barrierType
+      } else {
+        nvgpu.mbarrier.arrive.expect_tx %9, %c0 : !barrierType
+      }
+
+      // Step 8. Wait until TMA is done
+      nvgpu.mbarrier.try_wait.parity %9, %c0, %c10000000 : !barrierType
+
+      // Step 9. Print loaded data in 128b swizzled
+      scf.if %10 {        
+        gpu.printf "===--- Matrix B ---=== %d \n" %c-1_i32 : i32
+        scf.for %ii = %c0 to %c64 step %c1 {
+          scf.for %j = %c0 to %c128 step %c1 {
+            %lhs0 = memref.load %rhsShmem[%ii, %j] : !shmemrhs
+            %lhs032 = arith.extf %lhs0: f16 to f32
+            gpu.printf "%.0f,   " %lhs032 : f32
+          }
+          gpu.printf "%d\n" %c-1_i32 : i32
+        }
+        gpu.printf "===----------------=== %d \n" %c-1_i32 : i32
+      }
+      gpu.terminator
+    }
+    return
+  }
+}
+
+
+// CHECK: [GPU] TMA SIZE 32768
+// CHECK: ===--- Matrix B ---=== -1 
+// CHECK: 0,   0,   0,   0,   0,   0,   0,   0,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   17,   17,   17,   17,   17,   17,   17,   17,   16,   16,   16,   16,   16,   16,   16,   16,   19,   19,   19,   19,   19,   19,   19,   19,   18,   18,   18,   18,   18,   18,   18,   18,   21,   21,   21,   21,   21,   21,   21,   21,   20,   20,   20,   20,   20,   20,   20,   20,   23,   23,   23,   23,   23,   23,   23,   23,   22,   22,   22,   22,   22,   22,   22,   22,   -1
+// CHECK: 17,   17,   17,   17,   17,   17,   17,   17,   16,   16,   16,   16,   16,   16,   16,   16,   19,   19,   19,   19,   19,   19,   19,   19,   18,   18,   18,   18,   18,   18,   18,   18,   21,   21,   21,   21,   21,   21,   21,   21,   20,   20,   20,   20,   20,   20,   20,   20,   23,   23,   23,   23,   23,   23,   23,   23,   22,   22,   22,   22,   22,   22,   22,   22,   34,   34,   34,   34,   34,   34,   34,   34,   35,   35,   35,   35,   35,   35,   35,   35,   32,   32,   32,   32,   32,   32,   32,   32,   33,   33,   33,   33,   33,   33,   33,   33,   38,   38,   38,   38,   38,   38,   38,   38,   39,   39,   39,   39,   39,   39,   39,   39,   36,   36,   36,   36,   36,   36,   36,   36,   37,   37,   37,   37,   37,   37,   37,   37,   -1
+// CHECK: 34,   34,   34,   34,   34,   34,   34,   34,   35,   35,   35,   35,   35,   35,   35,   35,   32,   32,   32,   32,   32,   32,   32,   32,   33,   33,   33,   33,   33,   33,   33,   33,   38,   38,   38,   38,   38,   38,   38,   38,   39,   39,   39,   39,   39,   39,   39,   39,   36,   36,   36,   36,   36,   36,   36,   36,   37,   37,   37,   37,   37,   37,   37,   37,   51,   51,   51,   51,   51,   51,   51,   51,   50,   50,   50,   50,   50,   50,   50,   50,   49,   49,   49,   49,   49,   49,   49,   49,   48,   48,   48,   48,   48,   48,   48,   48,   55,   55,   55,   55,   55,   55,   55,   55,   54,   54,   54,   54,   54,   54,   54,   54,   53,   53,   53,   53,   53,   53,   53,   53,   52,   52,   52,   52,   52,   52,   52,   52,   -1
+// CHECK: 51,   51,   51,   51,   51,   51,   51,   51,   50,   50,   50,   50,   50,   50,   50,   50,   49,   49,   49,   49,   49,   49,   49,   49,   48,   48,   48,   48,   48,   48,   48,   48,   55,   55,   55,   55,   55,   55,   55,   55,   54,   54,   54,   54,   54,   54,   54,   54,   53,   53,   53,   53,   53,   53,   53,   53,   52,   52,   52,   52,   52,   52,   52,   52,   68,   68,   68,   68,   68,   68,   68,   68,   69,   69,   69,   69,   69,   69,   69,   69,   70,   70,   70,   70,   70,   70,   70,   70,   71,   71,   71,   71,   71,   71,   71,   71,   64,   64,   64,   64,   64,   64,   64,   64,   65,   65,   65,   65,   65,   65,   65,   65,   66,   66,   66,   66,   66,   66,   66,   66,   67,   67,   67,   67,   67,   67,   67,   67,   -1
+// CHECK: 68,   68,   68,   68,   68,   68,   68,   68,   69,   69,   69,   69,   69,   69,   69,   69,   70,   70,   70,   70,   70,   70,   70,   70,   71,   71,   71,   71,   71,   71,   71,   71,   64,   64,   64,   64,   64,   64,   64,   64,   65,   65,   65,   65,   65,   65,   65,   65,   66,   66,   66,   66,   66,   66,   66,   66,   67,   67,   67,   67,   67,   67,   67,   67,   85,   85,   85,   85,   85,   85,   85,   85,   84,   84,   84,   84,   84,   84,   84,   84,   87,   87,   87,   87,   87,   87,   87,   87,   86,   86,   86,   86,   86,   86,   86,   86,   81,   81,   81,   81,   81,   81,   81,   81,   80,   80,   80,   80,   80,   80,   80,   80,   83,   83,   83,   83,   83,   83,   83,   83,   82,   82,   82,   82,   82,   82,   82,   82,   -1
+// CHECK: 85,   85,   85,   85,   85,   85,   85,   85,   84,   84,   84,   84,   84,   84,   84,   84,   87,   87,   87,   87,   87,   87,   87,   87,   86,   86,   86,   86,   86,   86,   86,   86,   81,   81,   81,   81,   81,   81,   81,   81,   80,   80,   80,   80,   80,   80,   80,   80,   83,   83,   83,   83,   83,   83,   83,   83,   82,   82,   82,   82,   82,   82,   82,   82,   102,   102,   102,   102,   102,   102,   102,   102,   103,   103,   103,   103,   103,   103,   103,   103,   100,   100,   100,   100,   100,   100,   100,   100,   101,   101,   101,   101,   101,   101,   101,   101,   98,   98,   98,   98,   98,   98,   98,   98,   99,   99,   99,   99,   99,   99,   99,   99,   96,   96,   96,   96,   96,   96,   96,   96,   97,   97,   97,   97,   97,   97,   97,   97,   -1
+// CHECK: 102,   102,   102,   102,   102,   102,   102,   102,   103,   103,   103,   103,   103,   103,   103,   103,   100,   100,   100,   100,   100,   100,   100,   100,   101,   101,   101,   101,   101,   101,   101,   101,   98,   98,   98,   98,   98,   98,   98,   98,   99,   99,   99,   99,   99,   99,   99,   99,   96,   96,   96,   96,   96,   96,   96,   96,   97,   97,   97,   97,   97,   97,   97,   97,   119,   119,   119,   119,   119,   119,   119,   119,   118,   118,   118,   118,   118,   118,   118,   118,   117,   117,   117,   117,   117,   117,   117,   117,   116,   116,   116,   116,   116,   116,   116,   116,   115,   115,   115,   115,   115,   115,   115,   115,   114,   114,   114,   114,   114,   114,   114,   114,   113,   113,   113,   113,   113,   113,   113,   113,   112,   112,   112,   112,   112,   112,   112,   112,   -1
+// CHECK: 119,   119,   119,   119,   119,   119,   119,   119,   118,   118,   118,   118,   118,   118,   118,   118,   117,   117,   117,   117,   117,   117,   117,   117,   116,   116,   116,   116,   116,   116,   116,   116,   115,   115,   115,   115,   115,   115,   115,   115,   114,   114,   114,   114,   114,   114,   114,   114,   113,   113,   113,   113,   113,   113,   113,   113,   112,   112,   112,   112,   112,   112,   112,   112,   128,   128,   128,   128,   128,   128,   128,   128,   129,   129,   129,   129,   129,   129,   129,   129,   130,   130,   130,   130,   130,   130,   130,   130,   131,   131,   131,   131,   131,   131,   131,   131,   132,   132,   132,   132,   132,   132,   132,   132,   133,   133,   133,   133,   133,   133,   133,   133,   134,   134,   134,   134,   134,   134,   134,   134,   135,   135,   135,   135,   135,   135,   135,   135,   -1
+// CHECK: 128,   128,   128,   128,   128,   128,   128,   128,   129,   129,   129,   129,   129,   129,   129,   129,   130,   130,   130,   130,   130,   130,   130,   130,   131,   131,   131,   131,   131,   131,   131,   131,   132,   132,   132,   132,   132,   132,   132,   132,   133,   133,   133,   133,   133,   133,   133,   133,   134,   134,   134,   134,   134,   134,   134,   134,   135,   135,   135,   135,   135,   135,   135,   135,   145,   145,   145,   145,   145,   145,   145,   145,   144,   144,   144,   144,   144,   144,   144,   144,   147,   147,   147,   147,   147,   147,   147,   147,   146,   146,   146,   146,   146,   146,   146,   146,   149,   149,   149,   149,   149,   149,   149,   149,   148,   148,   148,   148,   148,   148,   148,   148,   151,   151,   151,   151,   151,   151,   151,   151,   150,   150,   150,   150,   150,   150,   150,   150,   -1
+// CHECK: 145,   145,   145,   145,   145,   145,   145,   145,   144,   144,   144,   144,   144,   144,   144,   144,   147,   147,   147,   147,   147,   147,   147,   147,   146,   146,   146,   146,   146,   146,   146,   146,   149,   149,   149,   149,   149,   149,   149,   149,   148,   148,   148,   148,   148,   148,   148,   148,   151,   151,   151,   151,   151,   151,   151,   151,   150,   150,   150,   150,   150,   150,   150,   150,   162,   162,   162,   162,   162,   162,   162,   162,   163,   163,   163,   163,   163,   163,   163,   163,   160,   160,   160,   160,   160,   160,   160,   160,   161,   161,   161,   161,   161,   161,   161,   161,   166,   166,   166,   166,   166,   166,   166,   166,   167,   167,   167,   167,   167,   167,   167,   167,   164,   164,   164,   164,   164,   164,   164,   164,   165,   165,   165,   165,   165,   165,   165,   165,   -1
+// CHECK: 162,   162,   162,   162,   162,   162,   162,   162,   163,   163,   163,   163,   163,   163,   163,   163,   160,   160,   160,   160,   160,   160,   160,   160,   161,   161,   161,   161,   161,   161,   161,   161,   166,   166,   166,   166,   166,   166,   166,   166,   167,   167,   167,   167,   167,   167,   167,   167,   164,   164,   164,   164,   164,   164,   164,   164,   165,   165,   165,   165,   165,   165,   165,   165,   179,   179,   179,   179,   179,   179,   179,   179,   178,   178,   178,   178,   178,   178,   178,   178,   177,   177,   177,   177,   177,   177,   177,   177,   176,   176,   176,   176,   176,   176,   176,   176,   183,   183,   183,   183,   183,   183,   183,   183,   182,   182,   182,   182,   182,   182,   182,   182,   181,   181,   181,   181,   181,   181,   181,   181,   180,   180,   180,   180,   180,   180,   180,   180,   -1
+// CHECK: 179,   179,   179,   179,   179,   179,   179,   179,   178,   178,   178,   178,   178,   178,   178,   178,   177,   177,   177,   177,   177,   177,   177,   177,   176,   176,   176,   176,   176,   176,   176,   176,   183,   183,   183,   183,   183,   183,   183,   183,   182,   182,   182,   182,   182,   182,   182,   182,   181,   181,   181,   181,   181,   181,   181,   181,   180,   180,   180,   180,   180,   180,   180,   180,   196,   196,   196,   196,   196,   196,   196,   196,   197,   197,   197,   197,   197,   197,   197,   197,   198,   198,   198,   198,   198,   198,   198,   198,   199,   199,   199,   199,   199,   199,   199,   199,   192,   192,   192,   192,   192,   192,   192,   192,   193,   193,   193,   193,   193,   193,   193,   193,   194,   194,   194,   194,   194,   194,   194,   194,   195,   195,   195,   195,   195,   195,   195,   195,   -1
+// CHECK: 196,   196,   196,   196,   196,   196,   196,   196,   197,   197,   197,   197,   197,   197,   197,   197,   198,   198,   198,   198,   198,   198,   198,   198,   199,   199,   199,   199,   199,   199,   199,   199,   192,   192,   192,   192,   192,   192,   192,   192,   193,   193,   193,   193,   193,   193,   193,   193,   194,   194,   194,   194,   194,   194,   194,   194,   195,   195,   195,   195,   195,   195,   195,   195,   213,   213,   213,   213,   213,   213,   213,   213,   212,   212,   212,   212,   212,   212,   212,   212,   215,   215,   215,   215,   215,   215,   215,   215,   214,   214,   214,   214,   214,   214,   214,   214,   209,   209,   209,   209,   209,   209,   209,   209,   208,   208,   208,   208,   208,   208,   208,   208,   211,   211,   211,   211,   211,   211,   211,   211,   210,   210,   210,   210,   210,   210,   210,   210,   -1
+// CHECK: 213,   213,   213,   213,   213,   213,   213,   213,   212,   212,   212,   212,   212,   212,   212,   212,   215,   215,   215,   215,   215,   215,   215,   215,   214,   214,   214,   214,   214,   214,   214,   214,   209,   209,   209,   209,   209,   209,   209,   209,   208,   208,   208,   208,   208,   208,   208,   208,   211,   211,   211,   211,   211,   211,   211,   211,   210,   210,   210,   210,   210,   210,   210,   210,   230,   230,   230,   230,   230,   230,   230,   230,   231,   231,   231,   231,   231,   231,   231,   231,   228,   228,   228,   228,   228,   228,   228,   228,   229,   229,   229,   229,   229,   229,   229,   229,   226,   226,   226,   226,   226,   226,   226,   226,   227,   227,   227,   227,   227,   227,   227,   227,   224,   224,   224,   224,   224,   224,   224,   224,   225,   225,   225,   225,   225,   225,   225,   225,   -1
+// CHECK: 230,   230,   230,   230,   230,   230,   230,   230,   231,   231,   231,   231,   231,   231,   231,   231,   228,   228,   228,   228,   228,   228,   228,   228,   229,   229,   229,   229,   229,   229,   229,   229,   226,   226,   226,   226,   226,   226,   226,   226,   227,   227,   227,   227,   227,   227,   227,   227,   224,   224,   224,   224,   224,   224,   224,   224,   225,   225,   225,   225,   225,   225,   225,   225,   247,   247,   247,   247,   247,   247,   247,   247,   246,   246,   246,   246,   246,   246,   246,   246,   245,   245,   245,   245,   245,   245,   245,   245,   244,   244,   244,   244,   244,   244,   244,   244,   243,   243,   243,   243,   243,   243,   243,   243,   242,   242,   242,   242,   242,   242,   242,   242,   241,   241,   241,   241,   241,   241,   241,   241,   240,   240,   240,   240,   240,   240,   240,   240,   -1
+// CHECK: 247,   247,   247,   247,   247,   247,   247,   247,   246,   246,   246,   246,   246,   246,   246,   246,   245,   245,   245,   245,   245,   245,   245,   245,   244,   244,   244,   244,   244,   244,   244,   244,   243,   243,   243,   243,   243,   243,   243,   243,   242,   242,   242,   242,   242,   242,   242,   242,   241,   241,   241,   241,   241,   241,   241,   241,   240,   240,   240,   240,   240,   240,   240,   240,   256,   256,   256,   256,   256,   256,   256,   256,   257,   257,   257,   257,   257,   257,   257,   257,   258,   258,   258,   258,   258,   258,   258,   258,   259,   259,   259,   259,   259,   259,   259,   259,   260,   260,   260,   260,   260,   260,   260,   260,   261,   261,   261,   261,   261,   261,   261,   261,   262,   262,   262,   262,   262,   262,   262,   262,   263,   263,   263,   263,   263,   263,   263,   263,   -1
+// CHECK: 256,   256,   256,   256,   256,   256,   256,   256,   257,   257,   257,   257,   257,   257,   257,   257,   258,   258,   258,   258,   258,   258,   258,   258,   259,   259,   259,   259,   259,   259,   259,   259,   260,   260,   260,   260,   260,   260,   260,   260,   261,   261,   261,   261,   261,   261,   261,   261,   262,   262,   262,   262,   262,   262,   262,   262,   263,   263,   263,   263,   263,   263,   263,   263,   273,   273,   273,   273,   273,   273,   273,   273,   272,   272,   272,   272,   272,   272,   272,   272,   275,   275,   275,   275,   275,   275,   275,   275,   274,   274,   274,   274,   274,   274,   274,   274,   277,   277,   277,   277,   277,   277,   277,   277,   276,   276,   276,   276,   276,   276,   276,   276,   279,   279,   279,   279,   279,   279,   279,   279,   278,   278,   278,   278,   278,   278,   278,   278,   -1
+// CHECK: 273,   273,   273,   273,   273,   273,   273,   273,   272,   272,   272,   272,   272,   272,   272,   272,   275,   275,   275,   275,   275,   275,   275,   275,   274,   274,   274,   274,   274,   274,   274,   274,   277,   277,   277,   277,   277,   277,   277,   277,   276,   276,   276,   276,   276,   276,   276,   276,   279,   279,   279,   279,   279,   279,   279,   279,   278,   278,   278,   278,   278,   278,   278,   278,   290,   290,   290,   290,   290,   290,   290,   290,   291,   291,   291,   291,   291,   291,   291,   291,   288,   288,   288,   288,   288,   288,   288,   288,   289,   289,   289,   289,   289,   289,   289,   289,   294,   294,   294,   294,   294,   294,   294,   294,   295,   295,   295,   295,   295,   295,   295,   295,   292,   292,   292,   292,   292,   292,   292,   292,   293,   293,   293,   293,   293,   293,   293,   293,   -1
+// CHECK: 290,   290,   290,   290,   290,   290,   290,   290,   291,   291,   291,   291,   291,   291,   291,   291,   288,   288,   288,   288,   288,   288,   288,   288,   289,   289,   289,   289,   289,   289,   289,   289,   294,   294,   294,   294,   294,   294,   294,   294,   295,   295,   295,   295,   295,   295,   295,   295,   292,   292,   292,   292,   292,   292,   292,   292,   293,   293,   293,   293,   293,   293,   293,   293,   307,   307,   307,   307,   307,   307,   307,   307,   306,   306,   306,   306,   306,   306,   306,   306,   305,   305,   305,   305,   305,   305,   305,   305,   304,   304,   304,   304,   304,   304,   304,   304,   311,   311,   311,   311,   311,   311,   311,   311,   310,   310,   310,   310,   310,   310,   310,   310,   309,   309,   309,   309,   309,   309,   309,   309,   308,   308,   308,   308,   308,   308,   308,   308,   -1
+// CHECK: 307,   307,   307,   307,   307,   307,   307,   307,   306,   306,   306,   306,   306,   306,   306,   306,   305,   305,   305,   305,   305,   305,   305,   305,   304,   304,   304,   304,   304,   304,   304,   304,   311,   311,   311,   311,   311,   311,   311,   311,   310,   310,   310,   310,   310,   310,   310,   310,   309,   309,   309,   309,   309,   309,   309,   309,   308,   308,   308,   308,   308,   308,   308,   308,   324,   324,   324,   324,   324,   324,   324,   324,   325,   325,   325,   325,   325,   325,   325,   325,   326,   326,   326,   326,   326,   326,   326,   326,   327,   327,   327,   327,   327,   327,   327,   327,   320,   320,   320,   320,   320,   320,   320,   320,   321,   321,   321,   321,   321,   321,   321,   321,   322,   322,   322,   322,   322,   322,   322,   322,   323,   323,   323,   323,   323,   323,   323,   323,   -1
+// CHECK: 324,   324,   324,   324,   324,   324,   324,   324,   325,   325,   325,   325,   325,   325,   325,   325,   326,   326,   326,   326,   326,   326,   326,   326,   327,   327,   327,   327,   327,   327,   327,   327,   320,   320,   320,   320,   320,   320,   320,   320,   321,   321,   321,   321,   321,   321,   321,   321,   322,   322,   322,   322,   322,   322,   322,   322,   323,   323,   323,   323,   323,   323,   323,   323,   341,   341,   341,   341,   341,   341,   341,   341,   340,   340,   340,   340,   340,   340,   340,   340,   343,   343,   343,   343,   343,   343,   343,   343,   342,   342,   342,   342,   342,   342,   342,   342,   337,   337,   337,   337,   337,   337,   337,   337,   336,   336,   336,   336,   336,   336,   336,   336,   339,   339,   339,   339,   339,   339,   339,   339,   338,   338,   338,   338,   338,   338,   338,   338,   -1
+// CHECK: 341,   341,   341,   341,   341,   341,   341,   341,   340,   340,   340,   340,   340,   340,   340,   340,   343,   343,   343,   343,   343,   343,   343,   343,   342,   342,   342,   342,   342,   342,   342,   342,   337,   337,   337,   337,   337,   337,   337,   337,   336,   336,   336,   336,   336,   336,   336,   336,   339,   339,   339,   339,   339,   339,   339,   339,   338,   338,   338,   338,   338,   338,   338,   338,   358,   358,   358,   358,   358,   358,   358,   358,   359,   359,   359,   359,   359,   359,   359,   359,   356,   356,   356,   356,   356,   356,   356,   356,   357,   357,   357,   357,   357,   357,   357,   357,   354,   354,   354,   354,   354,   354,   354,   354,   355,   355,   355,   355,   355,   355,   355,   355,   352,   352,   352,   352,   352,   352,   352,   352,   353,   353,   353,   353,   353,   353,   353,   353,   -1
+// CHECK: 358,   358,   358,   358,   358,   358,   358,   358,   359,   359,   359,   359,   359,   359,   359,   359,   356,   356,   356,   356,   356,   356,   356,   356,   357,   357,   357,   357,   357,   357,   357,   357,   354,   354,   354,   354,   354,   354,   354,   354,   355,   355,   355,   355,   355,   355,   355,   355,   352,   352,   352,   352,   352,   352,   352,   352,   353,   353,   353,   353,   353,   353,   353,   353,   375,   375,   375,   375,   375,   375,   375,   375,   374,   374,   374,   374,   374,   374,   374,   374,   373,   373,   373,   373,   373,   373,   373,   373,   372,   372,   372,   372,   372,   372,   372,   372,   371,   371,   371,   371,   371,   371,   371,   371,   370,   370,   370,   370,   370,   370,   370,   370,   369,   369,   369,   369,   369,   369,   369,   369,   368,   368,   368,   368,   368,   368,   368,   368,   -1
+// CHECK: 375,   375,   375,   375,   375,   375,   375,   375,   374,   374,   374,   374,   374,   374,   374,   374,   373,   373,   373,   373,   373,   373,   373,   373,   372,   372,   372,   372,   372,   372,   372,   372,   371,   371,   371,   371,   371,   371,   371,   371,   370,   370,   370,   370,   370,   370,   370,   370,   369,   369,   369,   369,   369,   369,   369,   369,   368,   368,   368,   368,   368,   368,   368,   368,   384,   384,   384,   384,   384,   384,   384,   384,   385,   385,   385,   385,   385,   385,   385,   385,   386,   386,   386,   386,   386,   386,   386,   386,   387,   387,   387,   387,   387,   387,   387,   387,   388,   388,   388,   388,   388,   388,   388,   388,   389,   389,   389,   389,   389,   389,   389,   389,   390,   390,   390,   390,   390,   390,   390,   390,   391,   391,   391,   391,   391,   391,   391,   391,   -1
+// CHECK: 384,   384,   384,   384,   384,   384,   384,   384,   385,   385,   385,   385,   385,   385,   385,   385,   386,   386,   386,   386,   386,   386,   386,   386,   387,   387,   387,   387,   387,   387,   387,   387,   388,   388,   388,   388,   388,   388,   388,   388,   389,   389,   389,   389,   389,   389,   389,   389,   390,   390,   390,   390,   390,   390,   390,   390,   391,   391,   391,   391,   391,   391,   391,   391,   401,   401,   401,   401,   401,   401,   401,   401,   400,   400,   400,   400,   400,   400,   400,   400,   403,   403,   403,   403,   403,   403,   403,   403,   402,   402,   402,   402,   402,   402,   402,   402,   405,   405,   405,   405,   405,   405,   405,   405,   404,   404,   404,   404,   404,   404,   404,   404,   407,   407,   407,   407,   407,   407,   407,   407,   406,   406,   406,   406,   406,   406,   406,   406,   -1
+// CHECK: 401,   401,   401,   401,   401,   401,   401,   401,   400,   400,   400,   400,   400,   400,   400,   400,   403,   403,   403,   403,   403,   403,   403,   403,   402,   402,   402,   402,   402,   402,   402,   402,   405,   405,   405,   405,   405,   405,   405,   405,   404,   404,   404,   404,   404,   404,   404,   404,   407,   407,   407,   407,   407,   407,   407,   407,   406,   406,   406,   406,   406,   406,   406,   406,   418,   418,   418,   418,   418,   418,   418,   418,   419,   419,   419,   419,   419,   419,   419,   419,   416,   416,   416,   416,   416,   416,   416,   416,   417,   417,   417,   417,   417,   417,   417,   417,   422,   422,   422,   422,   422,   422,   422,   422,   423,   423,   423,   423,   423,   423,   423,   423,   420,   420,   420,   420,   420,   420,   420,   420,   421,   421,   421,   421,   421,   421,   421,   421,   -1
+// CHECK: 418,   418,   418,   418,   418,   418,   418,   418,   419,   419,   419,   419,   419,   419,   419,   419,   416,   416,   416,   416,   416,   416,   416,   416,   417,   417,   417,   417,   417,   417,   417,   417,   422,   422,   422,   422,   422,   422,   422,   422,   423,   423,   423,   423,   423,   423,   423,   423,   420,   420,   420,   420,   420,   420,   420,   420,   421,   421,   421,   421,   421,   421,   421,   421,   435,   435,   435,   435,   435,   435,   435,   435,   434,   434,   434,   434,   434,   434,   434,   434,   433,   433,   433,   433,   433,   433,   433,   433,   432,   432,   432,   432,   432,   432,   432,   432,   439,   439,   439,   439,   439,   439,   439,   439,   438,   438,   438,   438,   438,   438,   438,   438,   437,   437,   437,   437,   437,   437,   437,   437,   436,   436,   436,   436,   436,   436,   436,   436,   -1
+// CHECK: 435,   435,   435,   435,   435,   435,   435,   435,   434,   434,   434,   434,   434,   434,   434,   434,   433,   433,   433,   433,   433,   433,   433,   433,   432,   432,   432,   432,   432,   432,   432,   432,   439,   439,   439,   439,   439,   439,   439,   439,   438,   438,   438,   438,   438,   438,   438,   438,   437,   437,   437,   437,   437,   437,   437,   437,   436,   436,   436,   436,   436,   436,   436,   436,   452,   452,   452,   452,   452,   452,   452,   452,   453,   453,   453,   453,   453,   453,   453,   453,   454,   454,   454,   454,   454,   454,   454,   454,   455,   455,   455,   455,   455,   455,   455,   455,   448,   448,   448,   448,   448,   448,   448,   448,   449,   449,   449,   449,   449,   449,   449,   449,   450,   450,   450,   450,   450,   450,   450,   450,   451,   451,   451,   451,   451,   451,   451,   451,   -1
+// CHECK: 452,   452,   452,   452,   452,   452,   452,   452,   453,   453,   453,   453,   453,   453,   453,   453,   454,   454,   454,   454,   454,   454,   454,   454,   455,   455,   455,   455,   455,   455,   455,   455,   448,   448,   448,   448,   448,   448,   448,   448,   449,   449,   449,   449,   449,   449,   449,   449,   450,   450,   450,   450,   450,   450,   450,   450,   451,   451,   451,   451,   451,   451,   451,   451,   469,   469,   469,   469,   469,   469,   469,   469,   468,   468,   468,   468,   468,   468,   468,   468,   471,   471,   471,   471,   471,   471,   471,   471,   470,   470,   470,   470,   470,   470,   470,   470,   465,   465,   465,   465,   465,   465,   465,   465,   464,   464,   464,   464,   464,   464,   464,   464,   467,   467,   467,   467,   467,   467,   467,   467,   466,   466,   466,   466,   466,   466,   466,   466,   -1
+// CHECK: 469,   469,   469,   469,   469,   469,   469,   469,   468,   468,   468,   468,   468,   468,   468,   468,   471,   471,   471,   471,   471,   471,   471,   471,   470,   470,   470,   470,   470,   470,   470,   470,   465,   465,   465,   465,   465,   465,   465,   465,   464,   464,   464,   464,   464,   464,   464,   464,   467,   467,   467,   467,   467,   467,   467,   467,   466,   466,   466,   466,   466,   466,   466,   466,   486,   486,   486,   486,   486,   486,   486,   486,   487,   487,   487,   487,   487,   487,   487,   487,   484,   484,   484,   484,   484,   484,   484,   484,   485,   485,   485,   485,   485,   485,   485,   485,   482,   482,   482,   482,   482,   482,   482,   482,   483,   483,   483,   483,   483,   483,   483,   483,   480,   480,   480,   480,   480,   480,   480,   480,   481,   481,   481,   481,   481,   481,   481,   481,   -1
+// CHECK: 486,   486,   486,   486,   486,   486,   486,   486,   487,   487,   487,   487,   487,   487,   487,   487,   484,   484,   484,   484,   484,   484,   484,   484,   485,   485,   485,   485,   485,   485,   485,   485,   482,   482,   482,   482,   482,   482,   482,   482,   483,   483,   483,   483,   483,   483,   483,   483,   480,   480,   480,   480,   480,   480,   480,   480,   481,   481,   481,   481,   481,   481,   481,   481,   503,   503,   503,   503,   503,   503,   503,   503,   502,   502,   502,   502,   502,   502,   502,   502,   501,   501,   501,   501,   501,   501,   501,   501,   500,   500,   500,   500,   500,   500,   500,   500,   499,   499,   499,   499,   499,   499,   499,   499,   498,   498,   498,   498,   498,   498,   498,   498,   497,   497,   497,   497,   497,   497,   497,   497,   496,   496,   496,   496,   496,   496,   496,   496,   -1
+// CHECK: 503,   503,   503,   503,   503,   503,   503,   503,   502,   502,   502,   502,   502,   502,   502,   502,   501,   501,   501,   501,   501,   501,   501,   501,   500,   500,   500,   500,   500,   500,   500,   500,   499,   499,   499,   499,   499,   499,   499,   499,   498,   498,   498,   498,   498,   498,   498,   498,   497,   497,   497,   497,   497,   497,   497,   497,   496,   496,   496,   496,   496,   496,   496,   496,   512,   512,   512,   512,   512,   512,   512,   512,   513,   513,   513,   513,   513,   513,   513,   513,   514,   514,   514,   514,   514,   514,   514,   514,   515,   515,   515,   515,   515,   515,   515,   515,   516,   516,   516,   516,   516,   516,   516,   516,   517,   517,   517,   517,   517,   517,   517,   517,   518,   518,   518,   518,   518,   518,   518,   518,   519,   519,   519,   519,   519,   519,   519,   519,   -1
+// CHECK: 512,   512,   512,   512,   512,   512,   512,   512,   513,   513,   513,   513,   513,   513,   513,   513,   514,   514,   514,   514,   514,   514,   514,   514,   515,   515,   515,   515,   515,   515,   515,   515,   516,   516,   516,   516,   516,   516,   516,   516,   517,   517,   517,   517,   517,   517,   517,   517,   518,   518,   518,   518,   518,   518,   518,   518,   519,   519,   519,   519,   519,   519,   519,   519,   529,   529,   529,   529,   529,   529,   529,   529,   528,   528,   528,   528,   528,   528,   528,   528,   531,   531,   531,   531,   531,   531,   531,   531,   530,   530,   530,   530,   530,   530,   530,   530,   533,   533,   533,   533,   533,   533,   533,   533,   532,   532,   532,   532,   532,   532,   532,   532,   535,   535,   535,   535,   535,   535,   535,   535,   534,   534,   534,   534,   534,   534,   534,   534,   -1
+// CHECK: 529,   529,   529,   529,   529,   529,   529,   529,   528,   528,   528,   528,   528,   528,   528,   528,   531,   531,   531,   531,   531,   531,   531,   531,   530,   530,   530,   530,   530,   530,   530,   530,   533,   533,   533,   533,   533,   533,   533,   533,   532,   532,   532,   532,   532,   532,   532,   532,   535,   535,   535,   535,   535,   535,   535,   535,   534,   534,   534,   534,   534,   534,   534,   534,   546,   546,   546,   546,   546,   546,   546,   546,   547,   547,   547,   547,   547,   547,   547,   547,   544,   544,   544,   544,   544,   544,   544,   544,   545,   545,   545,   545,   545,   545,   545,   545,   550,   550,   550,   550,   550,   550,   550,   550,   551,   551,   551,   551,   551,   551,   551,   551,   548,   548,   548,   548,   548,   548,   548,   548,   549,   549,   549,   549,   549,   549,   549,   549,   -1
+// CHECK: 546,   546,   546,   546,   546,   546,   546,   546,   547,   547,   547,   547,   547,   547,   547,   547,   544,   544,   544,   544,   544,   544,   544,   544,   545,   545,   545,   545,   545,   545,   545,   545,   550,   550,   550,   550,   550,   550,   550,   550,   551,   551,   551,   551,   551,   551,   551,   551,   548,   548,   548,   548,   548,   548,   548,   548,   549,   549,   549,   549,   549,   549,   549,   549,   563,   563,   563,   563,   563,   563,   563,   563,   562,   562,   562,   562,   562,   562,   562,   562,   561,   561,   561,   561,   561,   561,   561,   561,   560,   560,   560,   560,   560,   560,   560,   560,   567,   567,   567,   567,   567,   567,   567,   567,   566,   566,   566,   566,   566,   566,   566,   566,   565,   565,   565,   565,   565,   565,   565,   565,   564,   564,   564,   564,   564,   564,   564,   564,   -1
+// CHECK: 563,   563,   563,   563,   563,   563,   563,   563,   562,   562,   562,   562,   562,   562,   562,   562,   561,   561,   561,   561,   561,   561,   561,   561,   560,   560,   560,   560,   560,   560,   560,   560,   567,   567,   567,   567,   567,   567,   567,   567,   566,   566,   566,   566,   566,   566,   566,   566,   565,   565,   565,   565,   565,   565,   565,   565,   564,   564,   564,   564,   564,   564,   564,   564,   580,   580,   580,   580,   580,   580,   580,   580,   581,   581,   581,   581,   581,   581,   581,   581,   582,   582,   582,   582,   582,   582,   582,   582,   583,   583,   583,   583,   583,   583,   583,   583,   576,   576,   576,   576,   576,   576,   576,   576,   577,   577,   577,   577,   577,   577,   577,   577,   578,   578,   578,   578,   578,   578,   578,   578,   579,   579,   579,   579,   579,   579,   579,   579,   -1
+// CHECK: 580,   580,   580,   580,   580,   580,   580,   580,   581,   581,   581,   581,   581,   581,   581,   581,   582,   582,   582,   582,   582,   582,   582,   582,   583,   583,   583,   583,   583,   583,   583,   583,   576,   576,   576,   576,   576,   576,   576,   576,   577,   577,   577,   577,   577,   577,   577,   577,   578,   578,   578,   578,   578,   578,   578,   578,   579,   579,   579,   579,   579,   579,   579,   579,   597,   597,   597,   597,   597,   597,   597,   597,   596,   596,   596,   596,   596,   596,   596,   596,   599,   599,   599,   599,   599,   599,   599,   599,   598,   598,   598,   598,   598,   598,   598,   598,   593,   593,   593,   593,   593,   593,   593,   593,   592,   592,   592,   592,   592,   592,   592,   592,   595,   595,   595,   595,   595,   595,   595,   595,   594,   594,   594,   594,   594,   594,   594,   594,   -1
+// CHECK: 597,   597,   597,   597,   597,   597,   597,   597,   596,   596,   596,   596,   596,   596,   596,   596,   599,   599,   599,   599,   599,   599,   599,   599,   598,   598,   598,   598,   598,   598,   598,   598,   593,   593,   593,   593,   593,   593,   593,   593,   592,   592,   592,   592,   592,   592,   592,   592,   595,   595,   595,   595,   595,   595,   595,   595,   594,   594,   594,   594,   594,   594,   594,   594,   614,   614,   614,   614,   614,   614,   614,   614,   615,   615,   615,   615,   615,   615,   615,   615,   612,   612,   612,   612,   612,   612,   612,   612,   613,   613,   613,   613,   613,   613,   613,   613,   610,   610,   610,   610,   610,   610,   610,   610,   611,   611,   611,   611,   611,   611,   611,   611,   608,   608,   608,   608,   608,   608,   608,   608,   609,   609,   609,   609,   609,   609,   609,   609,   -1
+// CHECK: 614,   614,   614,   614,   614,   614,   614,   614,   615,   615,   615,   615,   615,   615,   615,   615,   612,   612,   612,   612,   612,   612,   612,   612,   613,   613,   613,   613,   613,   613,   613,   613,   610,   610,   610,   610,   610,   610,   610,   610,   611,   611,   611,   611,   611,   611,   611,   611,   608,   608,   608,   608,   608,   608,   608,   608,   609,   609,   609,   609,   609,   609,   609,   609,   631,   631,   631,   631,   631,   631,   631,   631,   630,   630,   630,   630,   630,   630,   630,   630,   629,   629,   629,   629,   629,   629,   629,   629,   628,   628,   628,   628,   628,   628,   628,   628,   627,   627,   627,   627,   627,   627,   627,   627,   626,   626,   626,   626,   626,   626,   626,   626,   625,   625,   625,   625,   625,   625,   625,   625,   624,   624,   624,   624,   624,   624,   624,   624,   -1
+// CHECK: 631,   631,   631,   631,   631,   631,   631,   631,   630,   630,   630,   630,   630,   630,   630,   630,   629,   629,   629,   629,   629,   629,   629,   629,   628,   628,   628,   628,   628,   628,   628,   628,   627,   627,   627,   627,   627,   627,   627,   627,   626,   626,   626,   626,   626,   626,   626,   626,   625,   625,   625,   625,   625,   625,   625,   625,   624,   624,   624,   624,   624,   624,   624,   624,   640,   640,   640,   640,   640,   640,   640,   640,   641,   641,   641,   641,   641,   641,   641,   641,   642,   642,   642,   642,   642,   642,   642,   642,   643,   643,   643,   643,   643,   643,   643,   643,   644,   644,   644,   644,   644,   644,   644,   644,   645,   645,   645,   645,   645,   645,   645,   645,   646,   646,   646,   646,   646,   646,   646,   646,   647,   647,   647,   647,   647,   647,   647,   647,   -1
+// CHECK: 640,   640,   640,   640,   640,   640,   640,   640,   641,   641,   641,   641,   641,   641,   641,   641,   642,   642,   642,   642,   642,   642,   642,   642,   643,   643,   643,   643,   643,   643,   643,   643,   644,   644,   644,   644,   644,   644,   644,   644,   645,   645,   645,   645,   645,   645,   645,   645,   646,   646,   646,   646,   646,   646,   646,   646,   647,   647,   647,   647,   647,   647,   647,   647,   657,   657,   657,   657,   657,   657,   657,   657,   656,   656,   656,   656,   656,   656,   656,   656,   659,   659,   659,   659,   659,   659,   659,   659,   658,   658,   658,   658,   658,   658,   658,   658,   661,   661,   661,   661,   661,   661,   661,   661,   660,   660,   660,   660,   660,   660,   660,   660,   663,   663,   663,   663,   663,   663,   663,   663,   662,   662,   662,   662,   662,   662,   662,   662,   -1
+// CHECK: 657,   657,   657,   657,   657,   657,   657,   657,   656,   656,   656,   656,   656,   656,   656,   656,   659,   659,   659,   659,   659,   659,   659,   659,   658,   658,   658,   658,   658,   658,   658,   658,   661,   661,   661,   661,   661,   661,   661,   661,   660,   660,   660,   660,   660,   660,   660,   660,   663,   663,   663,   663,   663,   663,   663,   663,   662,   662,   662,   662,   662,   662,   662,   662,   674,   674,   674,   674,   674,   674,   674,   674,   675,   675,   675,   675,   675,   675,   675,   675,   672,   672,   672,   672,   672,   672,   672,   672,   673,   673,   673,   673,   673,   673,   673,   673,   678,   678,   678,   678,   678,   678,   678,   678,   679,   679,   679,   679,   679,   679,   679,   679,   676,   676,   676,   676,   676,   676,   676,   676,   677,   677,   677,   677,   677,   677,   677,   677,   -1
+// CHECK: 674,   674,   674,   674,   674,   674,   674,   674,   675,   675,   675,   675,   675,   675,   675,   675,   672,   672,   672,   672,   672,   672,   672,   672,   673,   673,   673,   673,   673,   673,   673,   673,   678,   678,   678,   678,   678,   678,   678,   678,   679,   679,   679,   679,   679,   679,   679,   679,   676,   676,   676,   676,   676,   676,   676,   676,   677,   677,   677,   677,   677,   677,   677,   677,   691,   691,   691,   691,   691,   691,   691,   691,   690,   690,   690,   690,   690,   690,   690,   690,   689,   689,   689,   689,   689,   689,   689,   689,   688,   688,   688,   688,   688,   688,   688,   688,   695,   695,   695,   695,   695,   695,   695,   695,   694,   694,   694,   694,   694,   694,   694,   694,   693,   693,   693,   693,   693,   693,   693,   693,   692,   692,   692,   692,   692,   692,   692,   692,   -1
+// CHECK: 691,   691,   691,   691,   691,   691,   691,   691,   690,   690,   690,   690,   690,   690,   690,   690,   689,   689,   689,   689,   689,   689,   689,   689,   688,   688,   688,   688,   688,   688,   688,   688,   695,   695,   695,   695,   695,   695,   695,   695,   694,   694,   694,   694,   694,   694,   694,   694,   693,   693,   693,   693,   693,   693,   693,   693,   692,   692,   692,   692,   692,   692,   692,   692,   708,   708,   708,   708,   708,   708,   708,   708,   709,   709,   709,   709,   709,   709,   709,   709,   710,   710,   710,   710,   710,   710,   710,   710,   711,   711,   711,   711,   711,   711,   711,   711,   704,   704,   704,   704,   704,   704,   704,   704,   705,   705,   705,   705,   705,   705,   705,   705,   706,   706,   706,   706,   706,   706,   706,   706,   707,   707,   707,   707,   707,   707,   707,   707,   -1
+// CHECK: 708,   708,   708,   708,   708,   708,   708,   708,   709,   709,   709,   709,   709,   709,   709,   709,   710,   710,   710,   710,   710,   710,   710,   710,   711,   711,   711,   711,   711,   711,   711,   711,   704,   704,   704,   704,   704,   704,   704,   704,   705,   705,   705,   705,   705,   705,   705,   705,   706,   706,   706,   706,   706,   706,   706,   706,   707,   707,   707,   707,   707,   707,   707,   707,   725,   725,   725,   725,   725,   725,   725,   725,   724,   724,   724,   724,   724,   724,   724,   724,   727,   727,   727,   727,   727,   727,   727,   727,   726,   726,   726,   726,   726,   726,   726,   726,   721,   721,   721,   721,   721,   721,   721,   721,   720,   720,   720,   720,   720,   720,   720,   720,   723,   723,   723,   723,   723,   723,   723,   723,   722,   722,   722,   722,   722,   722,   722,   722,   -1
+// CHECK: 725,   725,   725,   725,   725,   725,   725,   725,   724,   724,   724,   724,   724,   724,   724,   724,   727,   727,   727,   727,   727,   727,   727,   727,   726,   726,   726,   726,   726,   726,   726,   726,   721,   721,   721,   721,   721,   721,   721,   721,   720,   720,   720,   720,   720,   720,   720,   720,   723,   723,   723,   723,   723,   723,   723,   723,   722,   722,   722,   722,   722,   722,   722,   722,   742,   742,   742,   742,   742,   742,   742,   742,   743,   743,   743,   743,   743,   743,   743,   743,   740,   740,   740,   740,   740,   740,   740,   740,   741,   741,   741,   741,   741,   741,   741,   741,   738,   738,   738,   738,   738,   738,   738,   738,   739,   739,   739,   739,   739,   739,   739,   739,   736,   736,   736,   736,   736,   736,   736,   736,   737,   737,   737,   737,   737,   737,   737,   737,   -1
+// CHECK: 742,   742,   742,   742,   742,   742,   742,   742,   743,   743,   743,   743,   743,   743,   743,   743,   740,   740,   740,   740,   740,   740,   740,   740,   741,   741,   741,   741,   741,   741,   741,   741,   738,   738,   738,   738,   738,   738,   738,   738,   739,   739,   739,   739,   739,   739,   739,   739,   736,   736,   736,   736,   736,   736,   736,   736,   737,   737,   737,   737,   737,   737,   737,   737,   759,   759,   759,   759,   759,   759,   759,   759,   758,   758,   758,   758,   758,   758,   758,   758,   757,   757,   757,   757,   757,   757,   757,   757,   756,   756,   756,   756,   756,   756,   756,   756,   755,   755,   755,   755,   755,   755,   755,   755,   754,   754,   754,   754,   754,   754,   754,   754,   753,   753,   753,   753,   753,   753,   753,   753,   752,   752,   752,   752,   752,   752,   752,   752,   -1
+// CHECK: 759,   759,   759,   759,   759,   759,   759,   759,   758,   758,   758,   758,   758,   758,   758,   758,   757,   757,   757,   757,   757,   757,   757,   757,   756,   756,   756,   756,   756,   756,   756,   756,   755,   755,   755,   755,   755,   755,   755,   755,   754,   754,   754,   754,   754,   754,   754,   754,   753,   753,   753,   753,   753,   753,   753,   753,   752,   752,   752,   752,   752,   752,   752,   752,   768,   768,   768,   768,   768,   768,   768,   768,   769,   769,   769,   769,   769,   769,   769,   769,   770,   770,   770,   770,   770,   770,   770,   770,   771,   771,   771,   771,   771,   771,   771,   771,   772,   772,   772,   772,   772,   772,   772,   772,   773,   773,   773,   773,   773,   773,   773,   773,   774,   774,   774,   774,   774,   774,   774,   774,   775,   775,   775,   775,   775,   775,   775,   775,   -1
+// CHECK: 768,   768,   768,   768,   768,   768,   768,   768,   769,   769,   769,   769,   769,   769,   769,   769,   770,   770,   770,   770,   770,   770,   770,   770,   771,   771,   771,   771,   771,   771,   771,   771,   772,   772,   772,   772,   772,   772,   772,   772,   773,   773,   773,   773,   773,   773,   773,   773,   774,   774,   774,   774,   774,   774,   774,   774,   775,   775,   775,   775,   775,   775,   775,   775,   785,   785,   785,   785,   785,   785,   785,   785,   784,   784,   784,   784,   784,   784,   784,   784,   787,   787,   787,   787,   787,   787,   787,   787,   786,   786,   786,   786,   786,   786,   786,   786,   789,   789,   789,   789,   789,   789,   789,   789,   788,   788,   788,   788,   788,   788,   788,   788,   791,   791,   791,   791,   791,   791,   791,   791,   790,   790,   790,   790,   790,   790,   790,   790,   -1
+// CHECK: 785,   785,   785,   785,   785,   785,   785,   785,   784,   784,   784,   784,   784,   784,   784,   784,   787,   787,   787,   787,   787,   787,   787,   787,   786,   786,   786,   786,   786,   786,   786,   786,   789,   789,   789,   789,   789,   789,   789,   789,   788,   788,   788,   788,   788,   788,   788,   788,   791,   791,   791,   791,   791,   791,   791,   791,   790,   790,   790,   790,   790,   790,   790,   790,   802,   802,   802,   802,   802,   802,   802,   802,   803,   803,   803,   803,   803,   803,   803,   803,   800,   800,   800,   800,   800,   800,   800,   800,   801,   801,   801,   801,   801,   801,   801,   801,   806,   806,   806,   806,   806,   806,   806,   806,   807,   807,   807,   807,   807,   807,   807,   807,   804,   804,   804,   804,   804,   804,   804,   804,   805,   805,   805,   805,   805,   805,   805,   805,   -1
+// CHECK: 802,   802,   802,   802,   802,   802,   802,   802,   803,   803,   803,   803,   803,   803,   803,   803,   800,   800,   800,   800,   800,   800,   800,   800,   801,   801,   801,   801,   801,   801,   801,   801,   806,   806,   806,   806,   806,   806,   806,   806,   807,   807,   807,   807,   807,   807,   807,   807,   804,   804,   804,   804,   804,   804,   804,   804,   805,   805,   805,   805,   805,   805,   805,   805,   819,   819,   819,   819,   819,   819,   819,   819,   818,   818,   818,   818,   818,   818,   818,   818,   817,   817,   817,   817,   817,   817,   817,   817,   816,   816,   816,   816,   816,   816,   816,   816,   823,   823,   823,   823,   823,   823,   823,   823,   822,   822,   822,   822,   822,   822,   822,   822,   821,   821,   821,   821,   821,   821,   821,   821,   820,   820,   820,   820,   820,   820,   820,   820,   -1
+// CHECK: 819,   819,   819,   819,   819,   819,   819,   819,   818,   818,   818,   818,   818,   818,   818,   818,   817,   817,   817,   817,   817,   817,   817,   817,   816,   816,   816,   816,   816,   816,   816,   816,   823,   823,   823,   823,   823,   823,   823,   823,   822,   822,   822,   822,   822,   822,   822,   822,   821,   821,   821,   821,   821,   821,   821,   821,   820,   820,   820,   820,   820,   820,   820,   820,   836,   836,   836,   836,   836,   836,   836,   836,   837,   837,   837,   837,   837,   837,   837,   837,   838,   838,   838,   838,   838,   838,   838,   838,   839,   839,   839,   839,   839,   839,   839,   839,   832,   832,   832,   832,   832,   832,   832,   832,   833,   833,   833,   833,   833,   833,   833,   833,   834,   834,   834,   834,   834,   834,   834,   834,   835,   835,   835,   835,   835,   835,   835,   835,   -1
+// CHECK: 836,   836,   836,   836,   836,   836,   836,   836,   837,   837,   837,   837,   837,   837,   837,   837,   838,   838,   838,   838,   838,   838,   838,   838,   839,   839,   839,   839,   839,   839,   839,   839,   832,   832,   832,   832,   832,   832,   832,   832,   833,   833,   833,   833,   833,   833,   833,   833,   834,   834,   834,   834,   834,   834,   834,   834,   835,   835,   835,   835,   835,   835,   835,   835,   853,   853,   853,   853,   853,   853,   853,   853,   852,   852,   852,   852,   852,   852,   852,   852,   855,   855,   855,   855,   855,   855,   855,   855,   854,   854,   854,   854,   854,   854,   854,   854,   849,   849,   849,   849,   849,   849,   849,   849,   848,   848,   848,   848,   848,   848,   848,   848,   851,   851,   851,   851,   851,   851,   851,   851,   850,   850,   850,   850,   850,   850,   850,   850,   -1
+// CHECK: 853,   853,   853,   853,   853,   853,   853,   853,   852,   852,   852,   852,   852,   852,   852,   852,   855,   855,   855,   855,   855,   855,   855,   855,   854,   854,   854,   854,   854,   854,   854,   854,   849,   849,   849,   849,   849,   849,   849,   849,   848,   848,   848,   848,   848,   848,   848,   848,   851,   851,   851,   851,   851,   851,   851,   851,   850,   850,   850,   850,   850,   850,   850,   850,   870,   870,   870,   870,   870,   870,   870,   870,   871,   871,   871,   871,   871,   871,   871,   871,   868,   868,   868,   868,   868,   868,   868,   868,   869,   869,   869,   869,   869,   869,   869,   869,   866,   866,   866,   866,   866,   866,   866,   866,   867,   867,   867,   867,   867,   867,   867,   867,   864,   864,   864,   864,   864,   864,   864,   864,   865,   865,   865,   865,   865,   865,   865,   865,   -1
+// CHECK: 870,   870,   870,   870,   870,   870,   870,   870,   871,   871,   871,   871,   871,   871,   871,   871,   868,   868,   868,   868,   868,   868,   868,   868,   869,   869,   869,   869,   869,   869,   869,   869,   866,   866,   866,   866,   866,   866,   866,   866,   867,   867,   867,   867,   867,   867,   867,   867,   864,   864,   864,   864,   864,   864,   864,   864,   865,   865,   865,   865,   865,   865,   865,   865,   887,   887,   887,   887,   887,   887,   887,   887,   886,   886,   886,   886,   886,   886,   886,   886,   885,   885,   885,   885,   885,   885,   885,   885,   884,   884,   884,   884,   884,   884,   884,   884,   883,   883,   883,   883,   883,   883,   883,   883,   882,   882,   882,   882,   882,   882,   882,   882,   881,   881,   881,   881,   881,   881,   881,   881,   880,   880,   880,   880,   880,   880,   880,   880,   -1
+// CHECK: 887,   887,   887,   887,   887,   887,   887,   887,   886,   886,   886,   886,   886,   886,   886,   886,   885,   885,   885,   885,   885,   885,   885,   885,   884,   884,   884,   884,   884,   884,   884,   884,   883,   883,   883,   883,   883,   883,   883,   883,   882,   882,   882,   882,   882,   882,   882,   882,   881,   881,   881,   881,   881,   881,   881,   881,   880,   880,   880,   880,   880,   880,   880,   880,   896,   896,   896,   896,   896,   896,   896,   896,   897,   897,   897,   897,   897,   897,   897,   897,   898,   898,   898,   898,   898,   898,   898,   898,   899,   899,   899,   899,   899,   899,   899,   899,   900,   900,   900,   900,   900,   900,   900,   900,   901,   901,   901,   901,   901,   901,   901,   901,   902,   902,   902,   902,   902,   902,   902,   902,   903,   903,   903,   903,   903,   903,   903,   903,   -1
+// CHECK: 896,   896,   896,   896,   896,   896,   896,   896,   897,   897,   897,   897,   897,   897,   897,   897,   898,   898,   898,   898,   898,   898,   898,   898,   899,   899,   899,   899,   899,   899,   899,   899,   900,   900,   900,   900,   900,   900,   900,   900,   901,   901,   901,   901,   901,   901,   901,   901,   902,   902,   902,   902,   902,   902,   902,   902,   903,   903,   903,   903,   903,   903,   903,   903,   913,   913,   913,   913,   913,   913,   913,   913,   912,   912,   912,   912,   912,   912,   912,   912,   915,   915,   915,   915,   915,   915,   915,   915,   914,   914,   914,   914,   914,   914,   914,   914,   917,   917,   917,   917,   917,   917,   917,   917,   916,   916,   916,   916,   916,   916,   916,   916,   919,   919,   919,   919,   919,   919,   919,   919,   918,   918,   918,   918,   918,   918,   918,   918,   -1
+// CHECK: 913,   913,   913,   913,   913,   913,   913,   913,   912,   912,   912,   912,   912,   912,   912,   912,   915,   915,   915,   915,   915,   915,   915,   915,   914,   914,   914,   914,   914,   914,   914,   914,   917,   917,   917,   917,   917,   917,   917,   917,   916,   916,   916,   916,   916,   916,   916,   916,   919,   919,   919,   919,   919,   919,   919,   919,   918,   918,   918,   918,   918,   918,   918,   918,   930,   930,   930,   930,   930,   930,   930,   930,   931,   931,   931,   931,   931,   931,   931,   931,   928,   928,   928,   928,   928,   928,   928,   928,   929,   929,   929,   929,   929,   929,   929,   929,   934,   934,   934,   934,   934,   934,   934,   934,   935,   935,   935,   935,   935,   935,   935,   935,   932,   932,   932,   932,   932,   932,   932,   932,   933,   933,   933,   933,   933,   933,   933,   933,   -1
+// CHECK: 930,   930,   930,   930,   930,   930,   930,   930,   931,   931,   931,   931,   931,   931,   931,   931,   928,   928,   928,   928,   928,   928,   928,   928,   929,   929,   929,   929,   929,   929,   929,   929,   934,   934,   934,   934,   934,   934,   934,   934,   935,   935,   935,   935,   935,   935,   935,   935,   932,   932,   932,   932,   932,   932,   932,   932,   933,   933,   933,   933,   933,   933,   933,   933,   947,   947,   947,   947,   947,   947,   947,   947,   946,   946,   946,   946,   946,   946,   946,   946,   945,   945,   945,   945,   945,   945,   945,   945,   944,   944,   944,   944,   944,   944,   944,   944,   951,   951,   951,   951,   951,   951,   951,   951,   950,   950,   950,   950,   950,   950,   950,   950,   949,   949,   949,   949,   949,   949,   949,   949,   948,   948,   948,   948,   948,   948,   948,   948,   -1
+// CHECK: 947,   947,   947,   947,   947,   947,   947,   947,   946,   946,   946,   946,   946,   946,   946,   946,   945,   945,   945,   945,   945,   945,   945,   945,   944,   944,   944,   944,   944,   944,   944,   944,   951,   951,   951,   951,   951,   951,   951,   951,   950,   950,   950,   950,   950,   950,   950,   950,   949,   949,   949,   949,   949,   949,   949,   949,   948,   948,   948,   948,   948,   948,   948,   948,   964,   964,   964,   964,   964,   964,   964,   964,   965,   965,   965,   965,   965,   965,   965,   965,   966,   966,   966,   966,   966,   966,   966,   966,   967,   967,   967,   967,   967,   967,   967,   967,   960,   960,   960,   960,   960,   960,   960,   960,   961,   961,   961,   961,   961,   961,   961,   961,   962,   962,   962,   962,   962,   962,   962,   962,   963,   963,   963,   963,   963,   963,   963,   963,   -1
+// CHECK: 964,   964,   964,   964,   964,   964,   964,   964,   965,   965,   965,   965,   965,   965,   965,   965,   966,   966,   966,   966,   966,   966,   966,   966,   967,   967,   967,   967,   967,   967,   967,   967,   960,   960,   960,   960,   960,   960,   960,   960,   961,   961,   961,   961,   961,   961,   961,   961,   962,   962,   962,   962,   962,   962,   962,   962,   963,   963,   963,   963,   963,   963,   963,   963,   981,   981,   981,   981,   981,   981,   981,   981,   980,   980,   980,   980,   980,   980,   980,   980,   983,   983,   983,   983,   983,   983,   983,   983,   982,   982,   982,   982,   982,   982,   982,   982,   977,   977,   977,   977,   977,   977,   977,   977,   976,   976,   976,   976,   976,   976,   976,   976,   979,   979,   979,   979,   979,   979,   979,   979,   978,   978,   978,   978,   978,   978,   978,   978,   -1
+// CHECK: 981,   981,   981,   981,   981,   981,   981,   981,   980,   980,   980,   980,   980,   980,   980,   980,   983,   983,   983,   983,   983,   983,   983,   983,   982,   982,   982,   982,   982,   982,   982,   982,   977,   977,   977,   977,   977,   977,   977,   977,   976,   976,   976,   976,   976,   976,   976,   976,   979,   979,   979,   979,   979,   979,   979,   979,   978,   978,   978,   978,   978,   978,   978,   978,   998,   998,   998,   998,   998,   998,   998,   998,   999,   999,   999,   999,   999,   999,   999,   999,   996,   996,   996,   996,   996,   996,   996,   996,   997,   997,   997,   997,   997,   997,   997,   997,   994,   994,   994,   994,   994,   994,   994,   994,   995,   995,   995,   995,   995,   995,   995,   995,   992,   992,   992,   992,   992,   992,   992,   992,   993,   993,   993,   993,   993,   993,   993,   993,   -1
+// CHECK: 998,   998,   998,   998,   998,   998,   998,   998,   999,   999,   999,   999,   999,   999,   999,   999,   996,   996,   996,   996,   996,   996,   996,   996,   997,   997,   997,   997,   997,   997,   997,   997,   994,   994,   994,   994,   994,   994,   994,   994,   995,   995,   995,   995,   995,   995,   995,   995,   992,   992,   992,   992,   992,   992,   992,   992,   993,   993,   993,   993,   993,   993,   993,   993,   1015,   1015,   1015,   1015,   1015,   1015,   1015,   1015,   1014,   1014,   1014,   1014,   1014,   1014,   1014,   1014,   1013,   1013,   1013,   1013,   1013,   1013,   1013,   1013,   1012,   1012,   1012,   1012,   1012,   1012,   1012,   1012,   1011,   1011,   1011,   1011,   1011,   1011,   1011,   1011,   1010,   1010,   1010,   1010,   1010,   1010,   1010,   1010,   1009,   1009,   1009,   1009,   1009,   1009,   1009,   1009,   1008,   1008,   1008,   1008,   1008,   1008,   1008,   1008,   -1
+// CHECK: 1015,   1015,   1015,   1015,   1015,   1015,   1015,   1015,   1014,   1014,   1014,   1014,   1014,   1014,   1014,   1014,   1013,   1013,   1013,   1013,   1013,   1013,   1013,   1013,   1012,   1012,   1012,   1012,   1012,   1012,   1012,   1012,   1011,   1011,   1011,   1011,   1011,   1011,   1011,   1011,   1010,   1010,   1010,   1010,   1010,   1010,   1010,   1010,   1009,   1009,   1009,   1009,   1009,   1009,   1009,   1009,   1008,   1008,   1008,   1008,   1008,   1008,   1008,   1008,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   -1
+


        


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