input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
10+52
Target:
| Input:
10+52
Target:
<scratch>
[1,0] has 2 digits.
[5,2] has 2 digits.
[1,0] + [5,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [5] , A=[2] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,2] C=0 , END
</scratch>
62
| 62 |
Input:
872+121
Target:
| Input:
872+121
Target:
<scratch>
[8,7,2] has 3 digits.
[1,2,1] has 3 digits.
[8,7,2] + [1,2,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[8,7] + [1,2] , A=[3] , C=0 , 7+2+0=9 , A->9 , C->0
[8] + [1] , A=[9,3] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,3] C=0 , END
</scratch>
993
| 993 |
Input:
759+999
Target:
| Input:
759+999
Target:
<scratch>
[7,5,9] has 3 digits.
[9,9,9] has 3 digits.
[7,5,9] + [9,9,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[7,5] + [9,9] , A=[8] , C=1 , 5+9+1=15 , A->5 , C->1
[7] + [9] , A=[5,8] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,5,8] C=1 , END
</scratch>
1758
| 1758 |
Input:
759+547
Target:
| Input:
759+547
Target:
<scratch>
[7,5,9] has 3 digits.
[5,4,7] has 3 digits.
[7,5,9] + [5,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[7,5] + [5,4] , A=[6] , C=1 , 5+4+1=10 , A->0 , C->1
[7] + [5] , A=[0,6] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,0,6] C=1 , END
</scratch>
1306
| 1306 |
Input:
569+898
Target:
| Input:
569+898
Target:
<scratch>
[5,6,9] has 3 digits.
[8,9,8] has 3 digits.
[5,6,9] + [8,9,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[5,6] + [8,9] , A=[7] , C=1 , 6+9+1=16 , A->6 , C->1
[5] + [8] , A=[6,7] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,6,7] C=1 , END
</scratch>
1467
| 1467 |
Input:
978+156
Target:
| Input:
978+156
Target:
<scratch>
[9,7,8] has 3 digits.
[1,5,6] has 3 digits.
[9,7,8] + [1,5,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[9,7] + [1,5] , A=[4] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [1] , A=[3,4] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,3,4] C=1 , END
</scratch>
1134
| 1134 |
Input:
714+212
Target:
| Input:
714+212
Target:
<scratch>
[7,1,4] has 3 digits.
[2,1,2] has 3 digits.
[7,1,4] + [2,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[7,1] + [2,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[7] + [2] , A=[2,6] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,2,6] C=0 , END
</scratch>
926
| 926 |
Input:
296+845
Target:
| Input:
296+845
Target:
<scratch>
[2,9,6] has 3 digits.
[8,4,5] has 3 digits.
[2,9,6] + [8,4,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[2,9] + [8,4] , A=[1] , C=1 , 9+4+1=14 , A->4 , C->1
[2] + [8] , A=[4,1] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,4,1] C=1 , END
</scratch>
1141
| 1141 |
Input:
48+910
Target:
| Input:
48+910
Target:
<scratch>
[4,8] has 2 digits.
[9,1,0] has 3 digits.
[4,8] + [9,1,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[4] + [9,1] , A=[8] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [9] , A=[5,8] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,5,8] C=0 , END
</scratch>
958
| 958 |
Input:
369+681
Target:
| Input:
369+681
Target:
<scratch>
[3,6,9] has 3 digits.
[6,8,1] has 3 digits.
[3,6,9] + [6,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[3,6] + [6,8] , A=[0] , C=1 , 6+8+1=15 , A->5 , C->1
[3] + [6] , A=[5,0] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,5,0] C=1 , END
</scratch>
1050
| 1050 |
Input:
323+112
Target:
| Input:
323+112
Target:
<scratch>
[3,2,3] has 3 digits.
[1,1,2] has 3 digits.
[3,2,3] + [1,1,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[3,2] + [1,1] , A=[5] , C=0 , 2+1+0=3 , A->3 , C->0
[3] + [1] , A=[3,5] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,3,5] C=0 , END
</scratch>
435
| 435 |
Input:
786+977
Target:
| Input:
786+977
Target:
<scratch>
[7,8,6] has 3 digits.
[9,7,7] has 3 digits.
[7,8,6] + [9,7,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7,8] + [9,7] , A=[3] , C=1 , 8+7+1=16 , A->6 , C->1
[7] + [9] , A=[6,3] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,6,3] C=1 , END
</scratch>
1763
| 1763 |
Input:
72+526
Target:
| Input:
72+526
Target:
<scratch>
[7,2] has 2 digits.
[5,2,6] has 3 digits.
[7,2] + [5,2,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[7] + [5,2] , A=[8] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [5] , A=[9,8] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,9,8] C=0 , END
</scratch>
598
| 598 |
Input:
565+679
Target:
| Input:
565+679
Target:
<scratch>
[5,6,5] has 3 digits.
[6,7,9] has 3 digits.
[5,6,5] + [6,7,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[5,6] + [6,7] , A=[4] , C=1 , 6+7+1=14 , A->4 , C->1
[5] + [6] , A=[4,4] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,4,4] C=1 , END
</scratch>
1244
| 1244 |
Input:
673+678
Target:
| Input:
673+678
Target:
<scratch>
[6,7,3] has 3 digits.
[6,7,8] has 3 digits.
[6,7,3] + [6,7,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,7] + [6,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[6] + [6] , A=[5,1] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,5,1] C=1 , END
</scratch>
1351
| 1351 |
Input:
686+365
Target:
| Input:
686+365
Target:
<scratch>
[6,8,6] has 3 digits.
[3,6,5] has 3 digits.
[6,8,6] + [3,6,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[6,8] + [3,6] , A=[1] , C=1 , 8+6+1=15 , A->5 , C->1
[6] + [3] , A=[5,1] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,5,1] C=1 , END
</scratch>
1051
| 1051 |
Input:
394+926
Target:
| Input:
394+926
Target:
<scratch>
[3,9,4] has 3 digits.
[9,2,6] has 3 digits.
[3,9,4] + [9,2,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[3,9] + [9,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[3] + [9] , A=[2,0] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,2,0] C=1 , END
</scratch>
1320
| 1320 |
Input:
160+616
Target:
| Input:
160+616
Target:
<scratch>
[1,6,0] has 3 digits.
[6,1,6] has 3 digits.
[1,6,0] + [6,1,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[1,6] + [6,1] , A=[6] , C=0 , 6+1+0=7 , A->7 , C->0
[1] + [6] , A=[7,6] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,7,6] C=0 , END
</scratch>
776
| 776 |
Input:
748+663
Target:
| Input:
748+663
Target:
<scratch>
[7,4,8] has 3 digits.
[6,6,3] has 3 digits.
[7,4,8] + [6,6,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[7,4] + [6,6] , A=[1] , C=1 , 4+6+1=11 , A->1 , C->1
[7] + [6] , A=[1,1] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,1,1] C=1 , END
</scratch>
1411
| 1411 |
Input:
665+859
Target:
| Input:
665+859
Target:
<scratch>
[6,6,5] has 3 digits.
[8,5,9] has 3 digits.
[6,6,5] + [8,5,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,6] + [8,5] , A=[4] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [8] , A=[2,4] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,2,4] C=1 , END
</scratch>
1524
| 1524 |
Input:
477+958
Target:
| Input:
477+958
Target:
<scratch>
[4,7,7] has 3 digits.
[9,5,8] has 3 digits.
[4,7,7] + [9,5,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[4,7] + [9,5] , A=[5] , C=1 , 7+5+1=13 , A->3 , C->1
[4] + [9] , A=[3,5] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,3,5] C=1 , END
</scratch>
1435
| 1435 |
Input:
333+404
Target:
| Input:
333+404
Target:
<scratch>
[3,3,3] has 3 digits.
[4,0,4] has 3 digits.
[3,3,3] + [4,0,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[3,3] + [4,0] , A=[7] , C=0 , 3+0+0=3 , A->3 , C->0
[3] + [4] , A=[3,7] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,3,7] C=0 , END
</scratch>
737
| 737 |
Input:
120+260
Target:
| Input:
120+260
Target:
<scratch>
[1,2,0] has 3 digits.
[2,6,0] has 3 digits.
[1,2,0] + [2,6,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1,2] + [2,6] , A=[0] , C=0 , 2+6+0=8 , A->8 , C->0
[1] + [2] , A=[8,0] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,0] C=0 , END
</scratch>
380
| 380 |
Input:
571+879
Target:
| Input:
571+879
Target:
<scratch>
[5,7,1] has 3 digits.
[8,7,9] has 3 digits.
[5,7,1] + [8,7,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[5,7] + [8,7] , A=[0] , C=1 , 7+7+1=15 , A->5 , C->1
[5] + [8] , A=[5,0] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,5,0] C=1 , END
</scratch>
1450
| 1450 |
Input:
888+278
Target:
| Input:
888+278
Target:
<scratch>
[8,8,8] has 3 digits.
[2,7,8] has 3 digits.
[8,8,8] + [2,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[8,8] + [2,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[8] + [2] , A=[6,6] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,6,6] C=1 , END
</scratch>
1166
| 1166 |
Input:
993+799
Target:
| Input:
993+799
Target:
<scratch>
[9,9,3] has 3 digits.
[7,9,9] has 3 digits.
[9,9,3] + [7,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,9] + [7,9] , A=[2] , C=1 , 9+9+1=19 , A->9 , C->1
[9] + [7] , A=[9,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,9,2] C=1 , END
</scratch>
1792
| 1792 |
Input:
613+699
Target:
| Input:
613+699
Target:
<scratch>
[6,1,3] has 3 digits.
[6,9,9] has 3 digits.
[6,1,3] + [6,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[6,1] + [6,9] , A=[2] , C=1 , 1+9+1=11 , A->1 , C->1
[6] + [6] , A=[1,2] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
484+718
Target:
| Input:
484+718
Target:
<scratch>
[4,8,4] has 3 digits.
[7,1,8] has 3 digits.
[4,8,4] + [7,1,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[4,8] + [7,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[4] + [7] , A=[0,2] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,2] C=1 , END
</scratch>
1202
| 1202 |
Input:
602+193
Target:
| Input:
602+193
Target:
<scratch>
[6,0,2] has 3 digits.
[1,9,3] has 3 digits.
[6,0,2] + [1,9,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[6,0] + [1,9] , A=[5] , C=0 , 0+9+0=9 , A->9 , C->0
[6] + [1] , A=[9,5] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,9,5] C=0 , END
</scratch>
795
| 795 |
Input:
965+487
Target:
| Input:
965+487
Target:
<scratch>
[9,6,5] has 3 digits.
[4,8,7] has 3 digits.
[9,6,5] + [4,8,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,6] + [4,8] , A=[2] , C=1 , 6+8+1=15 , A->5 , C->1
[9] + [4] , A=[5,2] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,5,2] C=1 , END
</scratch>
1452
| 1452 |
Input:
784+618
Target:
| Input:
784+618
Target:
<scratch>
[7,8,4] has 3 digits.
[6,1,8] has 3 digits.
[7,8,4] + [6,1,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[7,8] + [6,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[7] + [6] , A=[0,2] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,0,2] C=1 , END
</scratch>
1402
| 1402 |
Input:
887+457
Target:
| Input:
887+457
Target:
<scratch>
[8,8,7] has 3 digits.
[4,5,7] has 3 digits.
[8,8,7] + [4,5,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,8] + [4,5] , A=[4] , C=1 , 8+5+1=14 , A->4 , C->1
[8] + [4] , A=[4,4] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,4,4] C=1 , END
</scratch>
1344
| 1344 |
Input:
196+814
Target:
| Input:
196+814
Target:
<scratch>
[1,9,6] has 3 digits.
[8,1,4] has 3 digits.
[1,9,6] + [8,1,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[1,9] + [8,1] , A=[0] , C=1 , 9+1+1=11 , A->1 , C->1
[1] + [8] , A=[1,0] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,1,0] C=1 , END
</scratch>
1010
| 1010 |
Input:
211+72
Target:
| Input:
211+72
Target:
<scratch>
[2,1,1] has 3 digits.
[7,2] has 2 digits.
[2,1,1] + [7,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[2,1] + [7] , A=[3] , C=0 , 1+7+0=8 , A->8 , C->0
[2] + [] , A=[8,3] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,8,3] C=0 , END
</scratch>
283
| 283 |
Input:
786+358
Target:
| Input:
786+358
Target:
<scratch>
[7,8,6] has 3 digits.
[3,5,8] has 3 digits.
[7,8,6] + [3,5,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[7,8] + [3,5] , A=[4] , C=1 , 8+5+1=14 , A->4 , C->1
[7] + [3] , A=[4,4] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,4,4] C=1 , END
</scratch>
1144
| 1144 |
Input:
856+487
Target:
| Input:
856+487
Target:
<scratch>
[8,5,6] has 3 digits.
[4,8,7] has 3 digits.
[8,5,6] + [4,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[8,5] + [4,8] , A=[3] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [4] , A=[4,3] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,4,3] C=1 , END
</scratch>
1343
| 1343 |
Input:
792+618
Target:
| Input:
792+618
Target:
<scratch>
[7,9,2] has 3 digits.
[6,1,8] has 3 digits.
[7,9,2] + [6,1,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[7,9] + [6,1] , A=[0] , C=1 , 9+1+1=11 , A->1 , C->1
[7] + [6] , A=[1,0] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,1,0] C=1 , END
</scratch>
1410
| 1410 |
Input:
94+804
Target:
| Input:
94+804
Target:
<scratch>
[9,4] has 2 digits.
[8,0,4] has 3 digits.
[9,4] + [8,0,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[9] + [8,0] , A=[8] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [8] , A=[9,8] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,9,8] C=0 , END
</scratch>
898
| 898 |
Input:
587+695
Target:
| Input:
587+695
Target:
<scratch>
[5,8,7] has 3 digits.
[6,9,5] has 3 digits.
[5,8,7] + [6,9,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[5,8] + [6,9] , A=[2] , C=1 , 8+9+1=18 , A->8 , C->1
[5] + [6] , A=[8,2] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,8,2] C=1 , END
</scratch>
1282
| 1282 |
Input:
275+322
Target:
| Input:
275+322
Target:
<scratch>
[2,7,5] has 3 digits.
[3,2,2] has 3 digits.
[2,7,5] + [3,2,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[2,7] + [3,2] , A=[7] , C=0 , 7+2+0=9 , A->9 , C->0
[2] + [3] , A=[9,7] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,9,7] C=0 , END
</scratch>
597
| 597 |
Input:
391+307
Target:
| Input:
391+307
Target:
<scratch>
[3,9,1] has 3 digits.
[3,0,7] has 3 digits.
[3,9,1] + [3,0,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[3,9] + [3,0] , A=[8] , C=0 , 9+0+0=9 , A->9 , C->0
[3] + [3] , A=[9,8] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,9,8] C=0 , END
</scratch>
698
| 698 |
Input:
148+874
Target:
| Input:
148+874
Target:
<scratch>
[1,4,8] has 3 digits.
[8,7,4] has 3 digits.
[1,4,8] + [8,7,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[1,4] + [8,7] , A=[2] , C=1 , 4+7+1=12 , A->2 , C->1
[1] + [8] , A=[2,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,2,2] C=1 , END
</scratch>
1022
| 1022 |
Input:
245+985
Target:
| Input:
245+985
Target:
<scratch>
[2,4,5] has 3 digits.
[9,8,5] has 3 digits.
[2,4,5] + [9,8,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[2,4] + [9,8] , A=[0] , C=1 , 4+8+1=13 , A->3 , C->1
[2] + [9] , A=[3,0] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,3,0] C=1 , END
</scratch>
1230
| 1230 |
Input:
171+525
Target:
| Input:
171+525
Target:
<scratch>
[1,7,1] has 3 digits.
[5,2,5] has 3 digits.
[1,7,1] + [5,2,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[1,7] + [5,2] , A=[6] , C=0 , 7+2+0=9 , A->9 , C->0
[1] + [5] , A=[9,6] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,9,6] C=0 , END
</scratch>
696
| 696 |
Input:
922+979
Target:
| Input:
922+979
Target:
<scratch>
[9,2,2] has 3 digits.
[9,7,9] has 3 digits.
[9,2,2] + [9,7,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[9,2] + [9,7] , A=[1] , C=1 , 2+7+1=10 , A->0 , C->1
[9] + [9] , A=[0,1] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,0,1] C=1 , END
</scratch>
1901
| 1901 |
Input:
121+11
Target:
| Input:
121+11
Target:
<scratch>
[1,2,1] has 3 digits.
[1,1] has 2 digits.
[1,2,1] + [1,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[1,2] + [1] , A=[2] , C=0 , 2+1+0=3 , A->3 , C->0
[1] + [] , A=[3,2] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,3,2] C=0 , END
</scratch>
132
| 132 |
Input:
799+275
Target:
| Input:
799+275
Target:
<scratch>
[7,9,9] has 3 digits.
[2,7,5] has 3 digits.
[7,9,9] + [2,7,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,9] + [2,7] , A=[4] , C=1 , 9+7+1=17 , A->7 , C->1
[7] + [2] , A=[7,4] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,7,4] C=1 , END
</scratch>
1074
| 1074 |
Input:
867+357
Target:
| Input:
867+357
Target:
<scratch>
[8,6,7] has 3 digits.
[3,5,7] has 3 digits.
[8,6,7] + [3,5,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,6] + [3,5] , A=[4] , C=1 , 6+5+1=12 , A->2 , C->1
[8] + [3] , A=[2,4] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,2,4] C=1 , END
</scratch>
1224
| 1224 |
Input:
102+553
Target:
| Input:
102+553
Target:
<scratch>
[1,0,2] has 3 digits.
[5,5,3] has 3 digits.
[1,0,2] + [5,5,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,0] + [5,5] , A=[5] , C=0 , 0+5+0=5 , A->5 , C->0
[1] + [5] , A=[5,5] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,5,5] C=0 , END
</scratch>
655
| 655 |
Input:
879+145
Target:
| Input:
879+145
Target:
<scratch>
[8,7,9] has 3 digits.
[1,4,5] has 3 digits.
[8,7,9] + [1,4,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[8,7] + [1,4] , A=[4] , C=1 , 7+4+1=12 , A->2 , C->1
[8] + [1] , A=[2,4] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,2,4] C=1 , END
</scratch>
1024
| 1024 |
Input:
558+141
Target:
| Input:
558+141
Target:
<scratch>
[5,5,8] has 3 digits.
[1,4,1] has 3 digits.
[5,5,8] + [1,4,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[5,5] + [1,4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[5] + [1] , A=[9,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,9,9] C=0 , END
</scratch>
699
| 699 |
Input:
718+387
Target:
| Input:
718+387
Target:
<scratch>
[7,1,8] has 3 digits.
[3,8,7] has 3 digits.
[7,1,8] + [3,8,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[7,1] + [3,8] , A=[5] , C=1 , 1+8+1=10 , A->0 , C->1
[7] + [3] , A=[0,5] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
112+132
Target:
| Input:
112+132
Target:
<scratch>
[1,1,2] has 3 digits.
[1,3,2] has 3 digits.
[1,1,2] + [1,3,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[1,1] + [1,3] , A=[4] , C=0 , 1+3+0=4 , A->4 , C->0
[1] + [1] , A=[4,4] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,4,4] C=0 , END
</scratch>
244
| 244 |
Input:
333+111
Target:
| Input:
333+111
Target:
<scratch>
[3,3,3] has 3 digits.
[1,1,1] has 3 digits.
[3,3,3] + [1,1,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[3,3] + [1,1] , A=[4] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [1] , A=[4,4] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,4,4] C=0 , END
</scratch>
444
| 444 |
Input:
811+127
Target:
| Input:
811+127
Target:
<scratch>
[8,1,1] has 3 digits.
[1,2,7] has 3 digits.
[8,1,1] + [1,2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[8,1] + [1,2] , A=[8] , C=0 , 1+2+0=3 , A->3 , C->0
[8] + [1] , A=[3,8] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,3,8] C=0 , END
</scratch>
938
| 938 |
Input:
724+214
Target:
| Input:
724+214
Target:
<scratch>
[7,2,4] has 3 digits.
[2,1,4] has 3 digits.
[7,2,4] + [2,1,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[7,2] + [2,1] , A=[8] , C=0 , 2+1+0=3 , A->3 , C->0
[7] + [2] , A=[3,8] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,3,8] C=0 , END
</scratch>
938
| 938 |
Input:
3+770
Target:
| Input:
3+770
Target:
<scratch>
[3] has 1 digits.
[7,7,0] has 3 digits.
[3] + [7,7,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [7,7] , A=[3] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [7] , A=[7,3] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,7,3] C=0 , END
</scratch>
773
| 773 |
Input:
434+412
Target:
| Input:
434+412
Target:
<scratch>
[4,3,4] has 3 digits.
[4,1,2] has 3 digits.
[4,3,4] + [4,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[4,3] + [4,1] , A=[6] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [4] , A=[4,6] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,4,6] C=0 , END
</scratch>
846
| 846 |
Input:
593+698
Target:
| Input:
593+698
Target:
<scratch>
[5,9,3] has 3 digits.
[6,9,8] has 3 digits.
[5,9,3] + [6,9,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[5,9] + [6,9] , A=[1] , C=1 , 9+9+1=19 , A->9 , C->1
[5] + [6] , A=[9,1] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,9,1] C=1 , END
</scratch>
1291
| 1291 |
Input:
637+868
Target:
| Input:
637+868
Target:
<scratch>
[6,3,7] has 3 digits.
[8,6,8] has 3 digits.
[6,3,7] + [8,6,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[6,3] + [8,6] , A=[5] , C=1 , 3+6+1=10 , A->0 , C->1
[6] + [8] , A=[0,5] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,0,5] C=1 , END
</scratch>
1505
| 1505 |
Input:
848+597
Target:
| Input:
848+597
Target:
<scratch>
[8,4,8] has 3 digits.
[5,9,7] has 3 digits.
[8,4,8] + [5,9,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[8,4] + [5,9] , A=[5] , C=1 , 4+9+1=14 , A->4 , C->1
[8] + [5] , A=[4,5] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,4,5] C=1 , END
</scratch>
1445
| 1445 |
Input:
586+588
Target:
| Input:
586+588
Target:
<scratch>
[5,8,6] has 3 digits.
[5,8,8] has 3 digits.
[5,8,6] + [5,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,8] + [5,8] , A=[4] , C=1 , 8+8+1=17 , A->7 , C->1
[5] + [5] , A=[7,4] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,7,4] C=1 , END
</scratch>
1174
| 1174 |
Input:
204+15
Target:
| Input:
204+15
Target:
<scratch>
[2,0,4] has 3 digits.
[1,5] has 2 digits.
[2,0,4] + [1,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,0] + [1] , A=[9] , C=0 , 0+1+0=1 , A->1 , C->0
[2] + [] , A=[1,9] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,1,9] C=0 , END
</scratch>
219
| 219 |
Input:
856+476
Target:
| Input:
856+476
Target:
<scratch>
[8,5,6] has 3 digits.
[4,7,6] has 3 digits.
[8,5,6] + [4,7,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[8,5] + [4,7] , A=[2] , C=1 , 5+7+1=13 , A->3 , C->1
[8] + [4] , A=[3,2] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,3,2] C=1 , END
</scratch>
1332
| 1332 |
Input:
312+554
Target:
| Input:
312+554
Target:
<scratch>
[3,1,2] has 3 digits.
[5,5,4] has 3 digits.
[3,1,2] + [5,5,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[3,1] + [5,5] , A=[6] , C=0 , 1+5+0=6 , A->6 , C->0
[3] + [5] , A=[6,6] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,6,6] C=0 , END
</scratch>
866
| 866 |
Input:
856+389
Target:
| Input:
856+389
Target:
<scratch>
[8,5,6] has 3 digits.
[3,8,9] has 3 digits.
[8,5,6] + [3,8,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[8,5] + [3,8] , A=[5] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [3] , A=[4,5] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,4,5] C=1 , END
</scratch>
1245
| 1245 |
Input:
360+429
Target:
| Input:
360+429
Target:
<scratch>
[3,6,0] has 3 digits.
[4,2,9] has 3 digits.
[3,6,0] + [4,2,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[3,6] + [4,2] , A=[9] , C=0 , 6+2+0=8 , A->8 , C->0
[3] + [4] , A=[8,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,8,9] C=0 , END
</scratch>
789
| 789 |
Input:
266+987
Target:
| Input:
266+987
Target:
<scratch>
[2,6,6] has 3 digits.
[9,8,7] has 3 digits.
[2,6,6] + [9,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[2,6] + [9,8] , A=[3] , C=1 , 6+8+1=15 , A->5 , C->1
[2] + [9] , A=[5,3] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,5,3] C=1 , END
</scratch>
1253
| 1253 |
Input:
825+12
Target:
| Input:
825+12
Target:
<scratch>
[8,2,5] has 3 digits.
[1,2] has 2 digits.
[8,2,5] + [1,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[8,2] + [1] , A=[7] , C=0 , 2+1+0=3 , A->3 , C->0
[8] + [] , A=[3,7] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,3,7] C=0 , END
</scratch>
837
| 837 |
Input:
720+277
Target:
| Input:
720+277
Target:
<scratch>
[7,2,0] has 3 digits.
[2,7,7] has 3 digits.
[7,2,0] + [2,7,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[7,2] + [2,7] , A=[7] , C=0 , 2+7+0=9 , A->9 , C->0
[7] + [2] , A=[9,7] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
853+389
Target:
| Input:
853+389
Target:
<scratch>
[8,5,3] has 3 digits.
[3,8,9] has 3 digits.
[8,5,3] + [3,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[8,5] + [3,8] , A=[2] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [3] , A=[4,2] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,4,2] C=1 , END
</scratch>
1242
| 1242 |
Input:
537+794
Target:
| Input:
537+794
Target:
<scratch>
[5,3,7] has 3 digits.
[7,9,4] has 3 digits.
[5,3,7] + [7,9,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[5,3] + [7,9] , A=[1] , C=1 , 3+9+1=13 , A->3 , C->1
[5] + [7] , A=[3,1] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,3,1] C=1 , END
</scratch>
1331
| 1331 |
Input:
197+917
Target:
| Input:
197+917
Target:
<scratch>
[1,9,7] has 3 digits.
[9,1,7] has 3 digits.
[1,9,7] + [9,1,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[1,9] + [9,1] , A=[4] , C=1 , 9+1+1=11 , A->1 , C->1
[1] + [9] , A=[1,4] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,1,4] C=1 , END
</scratch>
1114
| 1114 |
Input:
557+799
Target:
| Input:
557+799
Target:
<scratch>
[5,5,7] has 3 digits.
[7,9,9] has 3 digits.
[5,5,7] + [7,9,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[5,5] + [7,9] , A=[6] , C=1 , 5+9+1=15 , A->5 , C->1
[5] + [7] , A=[5,6] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,5,6] C=1 , END
</scratch>
1356
| 1356 |
Input:
5+160
Target:
| Input:
5+160
Target:
<scratch>
[5] has 1 digits.
[1,6,0] has 3 digits.
[5] + [1,6,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [1,6] , A=[5] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [1] , A=[6,5] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,6,5] C=0 , END
</scratch>
165
| 165 |
Input:
756+797
Target:
| Input:
756+797
Target:
<scratch>
[7,5,6] has 3 digits.
[7,9,7] has 3 digits.
[7,5,6] + [7,9,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7,5] + [7,9] , A=[3] , C=1 , 5+9+1=15 , A->5 , C->1
[7] + [7] , A=[5,3] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,5,3] C=1 , END
</scratch>
1553
| 1553 |
Input:
819+189
Target:
| Input:
819+189
Target:
<scratch>
[8,1,9] has 3 digits.
[1,8,9] has 3 digits.
[8,1,9] + [1,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[8,1] + [1,8] , A=[8] , C=1 , 1+8+1=10 , A->0 , C->1
[8] + [1] , A=[0,8] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,8] C=1 , END
</scratch>
1008
| 1008 |
Input:
445+956
Target:
| Input:
445+956
Target:
<scratch>
[4,4,5] has 3 digits.
[9,5,6] has 3 digits.
[4,4,5] + [9,5,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[4,4] + [9,5] , A=[1] , C=1 , 4+5+1=10 , A->0 , C->1
[4] + [9] , A=[0,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,0,1] C=1 , END
</scratch>
1401
| 1401 |
Input:
711+16
Target:
| Input:
711+16
Target:
<scratch>
[7,1,1] has 3 digits.
[1,6] has 2 digits.
[7,1,1] + [1,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[7,1] + [1] , A=[7] , C=0 , 1+1+0=2 , A->2 , C->0
[7] + [] , A=[2,7] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,2,7] C=0 , END
</scratch>
727
| 727 |
Input:
919+593
Target:
| Input:
919+593
Target:
<scratch>
[9,1,9] has 3 digits.
[5,9,3] has 3 digits.
[9,1,9] + [5,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[9,1] + [5,9] , A=[2] , C=1 , 1+9+1=11 , A->1 , C->1
[9] + [5] , A=[1,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,2] C=1 , END
</scratch>
1512
| 1512 |
Input:
560+306
Target:
| Input:
560+306
Target:
<scratch>
[5,6,0] has 3 digits.
[3,0,6] has 3 digits.
[5,6,0] + [3,0,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,6] + [3,0] , A=[6] , C=0 , 6+0+0=6 , A->6 , C->0
[5] + [3] , A=[6,6] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,6,6] C=0 , END
</scratch>
866
| 866 |
Input:
609+693
Target:
| Input:
609+693
Target:
<scratch>
[6,0,9] has 3 digits.
[6,9,3] has 3 digits.
[6,0,9] + [6,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[6,0] + [6,9] , A=[2] , C=1 , 0+9+1=10 , A->0 , C->1
[6] + [6] , A=[0,2] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,0,2] C=1 , END
</scratch>
1302
| 1302 |
Input:
103+464
Target:
| Input:
103+464
Target:
<scratch>
[1,0,3] has 3 digits.
[4,6,4] has 3 digits.
[1,0,3] + [4,6,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,0] + [4,6] , A=[7] , C=0 , 0+6+0=6 , A->6 , C->0
[1] + [4] , A=[6,7] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,6,7] C=0 , END
</scratch>
567
| 567 |
Input:
743+125
Target:
| Input:
743+125
Target:
<scratch>
[7,4,3] has 3 digits.
[1,2,5] has 3 digits.
[7,4,3] + [1,2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[7,4] + [1,2] , A=[8] , C=0 , 4+2+0=6 , A->6 , C->0
[7] + [1] , A=[6,8] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,6,8] C=0 , END
</scratch>
868
| 868 |
Input:
548+250
Target:
| Input:
548+250
Target:
<scratch>
[5,4,8] has 3 digits.
[2,5,0] has 3 digits.
[5,4,8] + [2,5,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[5,4] + [2,5] , A=[8] , C=0 , 4+5+0=9 , A->9 , C->0
[5] + [2] , A=[9,8] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,9,8] C=0 , END
</scratch>
798
| 798 |
Input:
976+195
Target:
| Input:
976+195
Target:
<scratch>
[9,7,6] has 3 digits.
[1,9,5] has 3 digits.
[9,7,6] + [1,9,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[9,7] + [1,9] , A=[1] , C=1 , 7+9+1=17 , A->7 , C->1
[9] + [1] , A=[7,1] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,7,1] C=1 , END
</scratch>
1171
| 1171 |
Input:
212+657
Target:
| Input:
212+657
Target:
<scratch>
[2,1,2] has 3 digits.
[6,5,7] has 3 digits.
[2,1,2] + [6,5,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[2,1] + [6,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[2] + [6] , A=[6,9] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,6,9] C=0 , END
</scratch>
869
| 869 |
Input:
250+734
Target:
| Input:
250+734
Target:
<scratch>
[2,5,0] has 3 digits.
[7,3,4] has 3 digits.
[2,5,0] + [7,3,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[2,5] + [7,3] , A=[4] , C=0 , 5+3+0=8 , A->8 , C->0
[2] + [7] , A=[8,4] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,8,4] C=0 , END
</scratch>
984
| 984 |
Input:
12+54
Target:
| Input:
12+54
Target:
<scratch>
[1,2] has 2 digits.
[5,4] has 2 digits.
[1,2] + [5,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [5] , A=[6] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6] C=0 , END
</scratch>
66
| 66 |
Input:
254+956
Target:
| Input:
254+956
Target:
<scratch>
[2,5,4] has 3 digits.
[9,5,6] has 3 digits.
[2,5,4] + [9,5,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[2,5] + [9,5] , A=[0] , C=1 , 5+5+1=11 , A->1 , C->1
[2] + [9] , A=[1,0] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
273+520
Target:
| Input:
273+520
Target:
<scratch>
[2,7,3] has 3 digits.
[5,2,0] has 3 digits.
[2,7,3] + [5,2,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[2,7] + [5,2] , A=[3] , C=0 , 7+2+0=9 , A->9 , C->0
[2] + [5] , A=[9,3] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,9,3] C=0 , END
</scratch>
793
| 793 |
Input:
443+668
Target:
| Input:
443+668
Target:
<scratch>
[4,4,3] has 3 digits.
[6,6,8] has 3 digits.
[4,4,3] + [6,6,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[4,4] + [6,6] , A=[1] , C=1 , 4+6+1=11 , A->1 , C->1
[4] + [6] , A=[1,1] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,1,1] C=1 , END
</scratch>
1111
| 1111 |
Input:
563+748
Target:
| Input:
563+748
Target:
<scratch>
[5,6,3] has 3 digits.
[7,4,8] has 3 digits.
[5,6,3] + [7,4,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[5,6] + [7,4] , A=[1] , C=1 , 6+4+1=11 , A->1 , C->1
[5] + [7] , A=[1,1] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,1,1] C=1 , END
</scratch>
1311
| 1311 |
Input:
503+104
Target:
| Input:
503+104
Target:
<scratch>
[5,0,3] has 3 digits.
[1,0,4] has 3 digits.
[5,0,3] + [1,0,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,0] + [1,0] , A=[7] , C=0 , 0+0+0=0 , A->0 , C->0
[5] + [1] , A=[0,7] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,0,7] C=0 , END
</scratch>
607
| 607 |
Input:
879+885
Target:
| Input:
879+885
Target:
<scratch>
[8,7,9] has 3 digits.
[8,8,5] has 3 digits.
[8,7,9] + [8,8,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[8,7] + [8,8] , A=[4] , C=1 , 7+8+1=16 , A->6 , C->1
[8] + [8] , A=[6,4] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,6,4] C=1 , END
</scratch>
1764
| 1764 |
Input:
879+955
Target:
| Input:
879+955
Target:
<scratch>
[8,7,9] has 3 digits.
[9,5,5] has 3 digits.
[8,7,9] + [9,5,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[8,7] + [9,5] , A=[4] , C=1 , 7+5+1=13 , A->3 , C->1
[8] + [9] , A=[3,4] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,3,4] C=1 , END
</scratch>
1834
| 1834 |
Input:
788+519
Target:
| Input:
788+519
Target:
<scratch>
[7,8,8] has 3 digits.
[5,1,9] has 3 digits.
[7,8,8] + [5,1,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[7,8] + [5,1] , A=[7] , C=1 , 8+1+1=10 , A->0 , C->1
[7] + [5] , A=[0,7] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,0,7] C=1 , END
</scratch>
1307
| 1307 |
Input:
984+156
Target:
| Input:
984+156
Target:
<scratch>
[9,8,4] has 3 digits.
[1,5,6] has 3 digits.
[9,8,4] + [1,5,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[9,8] + [1,5] , A=[0] , C=1 , 8+5+1=14 , A->4 , C->1
[9] + [1] , A=[4,0] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,4,0] C=1 , END
</scratch>
1140
| 1140 |
Input:
849+167
Target:
| Input:
849+167
Target:
<scratch>
[8,4,9] has 3 digits.
[1,6,7] has 3 digits.
[8,4,9] + [1,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[8,4] + [1,6] , A=[6] , C=1 , 4+6+1=11 , A->1 , C->1
[8] + [1] , A=[1,6] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,1,6] C=1 , END
</scratch>
1016
| 1016 |
Input:
682+107
Target:
| Input:
682+107
Target:
<scratch>
[6,8,2] has 3 digits.
[1,0,7] has 3 digits.
[6,8,2] + [1,0,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[6,8] + [1,0] , A=[9] , C=0 , 8+0+0=8 , A->8 , C->0
[6] + [1] , A=[8,9] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,8,9] C=0 , END
</scratch>
789
| 789 |
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