input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
363+989
Target:
| Input:
363+989
Target:
<scratch>
[3,6,3] has 3 digits.
[9,8,9] has 3 digits.
[3,6,3] + [9,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[3,6] + [9,8] , A=[2] , C=1 , 6+8+1=15 , A->5 , C->1
[3] + [9] , A=[5,2] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,5,2] C=1 , END
</scratch>
1352
| 1352 |
Input:
292+829
Target:
| Input:
292+829
Target:
<scratch>
[2,9,2] has 3 digits.
[8,2,9] has 3 digits.
[2,9,2] + [8,2,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[2,9] + [8,2] , A=[1] , C=1 , 9+2+1=12 , A->2 , C->1
[2] + [8] , A=[2,1] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,2,1] C=1 , END
</scratch>
1121
| 1121 |
Input:
459+552
Target:
| Input:
459+552
Target:
<scratch>
[4,5,9] has 3 digits.
[5,5,2] has 3 digits.
[4,5,9] + [5,5,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[4,5] + [5,5] , A=[1] , C=1 , 5+5+1=11 , A->1 , C->1
[4] + [5] , A=[1,1] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,1,1] C=1 , END
</scratch>
1011
| 1011 |
Input:
703+101
Target:
| Input:
703+101
Target:
<scratch>
[7,0,3] has 3 digits.
[1,0,1] has 3 digits.
[7,0,3] + [1,0,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[7,0] + [1,0] , A=[4] , C=0 , 0+0+0=0 , A->0 , C->0
[7] + [1] , A=[0,4] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,0,4] C=0 , END
</scratch>
804
| 804 |
Input:
519+150
Target:
| Input:
519+150
Target:
<scratch>
[5,1,9] has 3 digits.
[1,5,0] has 3 digits.
[5,1,9] + [1,5,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[5,1] + [1,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[5] + [1] , A=[6,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,6,9] C=0 , END
</scratch>
669
| 669 |
Input:
677+897
Target:
| Input:
677+897
Target:
<scratch>
[6,7,7] has 3 digits.
[8,9,7] has 3 digits.
[6,7,7] + [8,9,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[6,7] + [8,9] , A=[4] , C=1 , 7+9+1=17 , A->7 , C->1
[6] + [8] , A=[7,4] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,7,4] C=1 , END
</scratch>
1574
| 1574 |
Input:
936+66
Target:
| Input:
936+66
Target:
<scratch>
[9,3,6] has 3 digits.
[6,6] has 2 digits.
[9,3,6] + [6,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[9,3] + [6] , A=[2] , C=1 , 3+6+1=10 , A->0 , C->1
[9] + [] , A=[0,2] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
458+573
Target:
| Input:
458+573
Target:
<scratch>
[4,5,8] has 3 digits.
[5,7,3] has 3 digits.
[4,5,8] + [5,7,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[4,5] + [5,7] , A=[1] , C=1 , 5+7+1=13 , A->3 , C->1
[4] + [5] , A=[3,1] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,3,1] C=1 , END
</scratch>
1031
| 1031 |
Input:
138+969
Target:
| Input:
138+969
Target:
<scratch>
[1,3,8] has 3 digits.
[9,6,9] has 3 digits.
[1,3,8] + [9,6,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[1,3] + [9,6] , A=[7] , C=1 , 3+6+1=10 , A->0 , C->1
[1] + [9] , A=[0,7] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,0,7] C=1 , END
</scratch>
1107
| 1107 |
Input:
732+468
Target:
| Input:
732+468
Target:
<scratch>
[7,3,2] has 3 digits.
[4,6,8] has 3 digits.
[7,3,2] + [4,6,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[7,3] + [4,6] , A=[0] , C=1 , 3+6+1=10 , A->0 , C->1
[7] + [4] , A=[0,0] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,0,0] C=1 , END
</scratch>
1200
| 1200 |
Input:
977+725
Target:
| Input:
977+725
Target:
<scratch>
[9,7,7] has 3 digits.
[7,2,5] has 3 digits.
[9,7,7] + [7,2,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[9,7] + [7,2] , A=[2] , C=1 , 7+2+1=10 , A->0 , C->1
[9] + [7] , A=[0,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,0,2] C=1 , END
</scratch>
1702
| 1702 |
Input:
166+203
Target:
| Input:
166+203
Target:
<scratch>
[1,6,6] has 3 digits.
[2,0,3] has 3 digits.
[1,6,6] + [2,0,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[1,6] + [2,0] , A=[9] , C=0 , 6+0+0=6 , A->6 , C->0
[1] + [2] , A=[6,9] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,6,9] C=0 , END
</scratch>
369
| 369 |
Input:
879+181
Target:
| Input:
879+181
Target:
<scratch>
[8,7,9] has 3 digits.
[1,8,1] has 3 digits.
[8,7,9] + [1,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[8,7] + [1,8] , A=[0] , C=1 , 7+8+1=16 , A->6 , C->1
[8] + [1] , A=[6,0] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,6,0] C=1 , END
</scratch>
1060
| 1060 |
Input:
489+927
Target:
| Input:
489+927
Target:
<scratch>
[4,8,9] has 3 digits.
[9,2,7] has 3 digits.
[4,8,9] + [9,2,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[4,8] + [9,2] , A=[6] , C=1 , 8+2+1=11 , A->1 , C->1
[4] + [9] , A=[1,6] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,1,6] C=1 , END
</scratch>
1416
| 1416 |
Input:
36+253
Target:
| Input:
36+253
Target:
<scratch>
[3,6] has 2 digits.
[2,5,3] has 3 digits.
[3,6] + [2,5,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[3] + [2,5] , A=[9] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [2] , A=[8,9] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,8,9] C=0 , END
</scratch>
289
| 289 |
Input:
718+210
Target:
| Input:
718+210
Target:
<scratch>
[7,1,8] has 3 digits.
[2,1,0] has 3 digits.
[7,1,8] + [2,1,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[7,1] + [2,1] , A=[8] , C=0 , 1+1+0=2 , A->2 , C->0
[7] + [2] , A=[2,8] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,2,8] C=0 , END
</scratch>
928
| 928 |
Input:
202+780
Target:
| Input:
202+780
Target:
<scratch>
[2,0,2] has 3 digits.
[7,8,0] has 3 digits.
[2,0,2] + [7,8,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[2,0] + [7,8] , A=[2] , C=0 , 0+8+0=8 , A->8 , C->0
[2] + [7] , A=[8,2] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,8,2] C=0 , END
</scratch>
982
| 982 |
Input:
956+185
Target:
| Input:
956+185
Target:
<scratch>
[9,5,6] has 3 digits.
[1,8,5] has 3 digits.
[9,5,6] + [1,8,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[9,5] + [1,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[9] + [1] , A=[4,1] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,4,1] C=1 , END
</scratch>
1141
| 1141 |
Input:
938+85
Target:
| Input:
938+85
Target:
<scratch>
[9,3,8] has 3 digits.
[8,5] has 2 digits.
[9,3,8] + [8,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[9,3] + [8] , A=[3] , C=1 , 3+8+1=12 , A->2 , C->1
[9] + [] , A=[2,3] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,2,3] C=1 , END
</scratch>
1023
| 1023 |
Input:
766+201
Target:
| Input:
766+201
Target:
<scratch>
[7,6,6] has 3 digits.
[2,0,1] has 3 digits.
[7,6,6] + [2,0,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[7,6] + [2,0] , A=[7] , C=0 , 6+0+0=6 , A->6 , C->0
[7] + [2] , A=[6,7] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,6,7] C=0 , END
</scratch>
967
| 967 |
Input:
988+478
Target:
| Input:
988+478
Target:
<scratch>
[9,8,8] has 3 digits.
[4,7,8] has 3 digits.
[9,8,8] + [4,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[9,8] + [4,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[9] + [4] , A=[6,6] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,6,6] C=1 , END
</scratch>
1466
| 1466 |
Input:
613+244
Target:
| Input:
613+244
Target:
<scratch>
[6,1,3] has 3 digits.
[2,4,4] has 3 digits.
[6,1,3] + [2,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[6,1] + [2,4] , A=[7] , C=0 , 1+4+0=5 , A->5 , C->0
[6] + [2] , A=[5,7] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,5,7] C=0 , END
</scratch>
857
| 857 |
Input:
811+158
Target:
| Input:
811+158
Target:
<scratch>
[8,1,1] has 3 digits.
[1,5,8] has 3 digits.
[8,1,1] + [1,5,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,1] + [1,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[8] + [1] , A=[6,9] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,6,9] C=0 , END
</scratch>
969
| 969 |
Input:
274+514
Target:
| Input:
274+514
Target:
<scratch>
[2,7,4] has 3 digits.
[5,1,4] has 3 digits.
[2,7,4] + [5,1,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[2,7] + [5,1] , A=[8] , C=0 , 7+1+0=8 , A->8 , C->0
[2] + [5] , A=[8,8] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,8,8] C=0 , END
</scratch>
788
| 788 |
Input:
565+448
Target:
| Input:
565+448
Target:
<scratch>
[5,6,5] has 3 digits.
[4,4,8] has 3 digits.
[5,6,5] + [4,4,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[5,6] + [4,4] , A=[3] , C=1 , 6+4+1=11 , A->1 , C->1
[5] + [4] , A=[1,3] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,1,3] C=1 , END
</scratch>
1013
| 1013 |
Input:
346+203
Target:
| Input:
346+203
Target:
<scratch>
[3,4,6] has 3 digits.
[2,0,3] has 3 digits.
[3,4,6] + [2,0,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[3,4] + [2,0] , A=[9] , C=0 , 4+0+0=4 , A->4 , C->0
[3] + [2] , A=[4,9] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,4,9] C=0 , END
</scratch>
549
| 549 |
Input:
868+248
Target:
| Input:
868+248
Target:
<scratch>
[8,6,8] has 3 digits.
[2,4,8] has 3 digits.
[8,6,8] + [2,4,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[8,6] + [2,4] , A=[6] , C=1 , 6+4+1=11 , A->1 , C->1
[8] + [2] , A=[1,6] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,1,6] C=1 , END
</scratch>
1116
| 1116 |
Input:
579+552
Target:
| Input:
579+552
Target:
<scratch>
[5,7,9] has 3 digits.
[5,5,2] has 3 digits.
[5,7,9] + [5,5,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,7] + [5,5] , A=[1] , C=1 , 7+5+1=13 , A->3 , C->1
[5] + [5] , A=[3,1] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
41+817
Target:
| Input:
41+817
Target:
<scratch>
[4,1] has 2 digits.
[8,1,7] has 3 digits.
[4,1] + [8,1,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[4] + [8,1] , A=[8] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [8] , A=[5,8] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,5,8] C=0 , END
</scratch>
858
| 858 |
Input:
542+778
Target:
| Input:
542+778
Target:
<scratch>
[5,4,2] has 3 digits.
[7,7,8] has 3 digits.
[5,4,2] + [7,7,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[5,4] + [7,7] , A=[0] , C=1 , 4+7+1=12 , A->2 , C->1
[5] + [7] , A=[2,0] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,2,0] C=1 , END
</scratch>
1320
| 1320 |
Input:
399+904
Target:
| Input:
399+904
Target:
<scratch>
[3,9,9] has 3 digits.
[9,0,4] has 3 digits.
[3,9,9] + [9,0,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[3,9] + [9,0] , A=[3] , C=1 , 9+0+1=10 , A->0 , C->1
[3] + [9] , A=[0,3] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,3] C=1 , END
</scratch>
1303
| 1303 |
Input:
342+659
Target:
| Input:
342+659
Target:
<scratch>
[3,4,2] has 3 digits.
[6,5,9] has 3 digits.
[3,4,2] + [6,5,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[3,4] + [6,5] , A=[1] , C=1 , 4+5+1=10 , A->0 , C->1
[3] + [6] , A=[0,1] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
458+752
Target:
| Input:
458+752
Target:
<scratch>
[4,5,8] has 3 digits.
[7,5,2] has 3 digits.
[4,5,8] + [7,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,5] + [7,5] , A=[0] , C=1 , 5+5+1=11 , A->1 , C->1
[4] + [7] , A=[1,0] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
344+640
Target:
| Input:
344+640
Target:
<scratch>
[3,4,4] has 3 digits.
[6,4,0] has 3 digits.
[3,4,4] + [6,4,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[3,4] + [6,4] , A=[4] , C=0 , 4+4+0=8 , A->8 , C->0
[3] + [6] , A=[8,4] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,8,4] C=0 , END
</scratch>
984
| 984 |
Input:
132+744
Target:
| Input:
132+744
Target:
<scratch>
[1,3,2] has 3 digits.
[7,4,4] has 3 digits.
[1,3,2] + [7,4,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1,3] + [7,4] , A=[6] , C=0 , 3+4+0=7 , A->7 , C->0
[1] + [7] , A=[7,6] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,7,6] C=0 , END
</scratch>
876
| 876 |
Input:
165+201
Target:
| Input:
165+201
Target:
<scratch>
[1,6,5] has 3 digits.
[2,0,1] has 3 digits.
[1,6,5] + [2,0,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[1,6] + [2,0] , A=[6] , C=0 , 6+0+0=6 , A->6 , C->0
[1] + [2] , A=[6,6] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,6,6] C=0 , END
</scratch>
366
| 366 |
Input:
599+505
Target:
| Input:
599+505
Target:
<scratch>
[5,9,9] has 3 digits.
[5,0,5] has 3 digits.
[5,9,9] + [5,0,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[5,9] + [5,0] , A=[4] , C=1 , 9+0+1=10 , A->0 , C->1
[5] + [5] , A=[0,4] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,0,4] C=1 , END
</scratch>
1104
| 1104 |
Input:
357+600
Target:
| Input:
357+600
Target:
<scratch>
[3,5,7] has 3 digits.
[6,0,0] has 3 digits.
[3,5,7] + [6,0,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[3,5] + [6,0] , A=[7] , C=0 , 5+0+0=5 , A->5 , C->0
[3] + [6] , A=[5,7] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,5,7] C=0 , END
</scratch>
957
| 957 |
Input:
589+497
Target:
| Input:
589+497
Target:
<scratch>
[5,8,9] has 3 digits.
[4,9,7] has 3 digits.
[5,8,9] + [4,9,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[5,8] + [4,9] , A=[6] , C=1 , 8+9+1=18 , A->8 , C->1
[5] + [4] , A=[8,6] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,8,6] C=1 , END
</scratch>
1086
| 1086 |
Input:
380+208
Target:
| Input:
380+208
Target:
<scratch>
[3,8,0] has 3 digits.
[2,0,8] has 3 digits.
[3,8,0] + [2,0,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[3,8] + [2,0] , A=[8] , C=0 , 8+0+0=8 , A->8 , C->0
[3] + [2] , A=[8,8] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,8,8] C=0 , END
</scratch>
588
| 588 |
Input:
624+331
Target:
| Input:
624+331
Target:
<scratch>
[6,2,4] has 3 digits.
[3,3,1] has 3 digits.
[6,2,4] + [3,3,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[6,2] + [3,3] , A=[5] , C=0 , 2+3+0=5 , A->5 , C->0
[6] + [3] , A=[5,5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,5,5] C=0 , END
</scratch>
955
| 955 |
Input:
517+342
Target:
| Input:
517+342
Target:
<scratch>
[5,1,7] has 3 digits.
[3,4,2] has 3 digits.
[5,1,7] + [3,4,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[5,1] + [3,4] , A=[9] , C=0 , 1+4+0=5 , A->5 , C->0
[5] + [3] , A=[5,9] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,5,9] C=0 , END
</scratch>
859
| 859 |
Input:
580+316
Target:
| Input:
580+316
Target:
<scratch>
[5,8,0] has 3 digits.
[3,1,6] has 3 digits.
[5,8,0] + [3,1,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,8] + [3,1] , A=[6] , C=0 , 8+1+0=9 , A->9 , C->0
[5] + [3] , A=[9,6] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,9,6] C=0 , END
</scratch>
896
| 896 |
Input:
384+698
Target:
| Input:
384+698
Target:
<scratch>
[3,8,4] has 3 digits.
[6,9,8] has 3 digits.
[3,8,4] + [6,9,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[3,8] + [6,9] , A=[2] , C=1 , 8+9+1=18 , A->8 , C->1
[3] + [6] , A=[8,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,8,2] C=1 , END
</scratch>
1082
| 1082 |
Input:
750+243
Target:
| Input:
750+243
Target:
<scratch>
[7,5,0] has 3 digits.
[2,4,3] has 3 digits.
[7,5,0] + [2,4,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[7,5] + [2,4] , A=[3] , C=0 , 5+4+0=9 , A->9 , C->0
[7] + [2] , A=[9,3] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,3] C=0 , END
</scratch>
993
| 993 |
Input:
804+11
Target:
| Input:
804+11
Target:
<scratch>
[8,0,4] has 3 digits.
[1,1] has 2 digits.
[8,0,4] + [1,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[8,0] + [1] , A=[5] , C=0 , 0+1+0=1 , A->1 , C->0
[8] + [] , A=[1,5] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,1,5] C=0 , END
</scratch>
815
| 815 |
Input:
403+76
Target:
| Input:
403+76
Target:
<scratch>
[4,0,3] has 3 digits.
[7,6] has 2 digits.
[4,0,3] + [7,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[4,0] + [7] , A=[9] , C=0 , 0+7+0=7 , A->7 , C->0
[4] + [] , A=[7,9] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,7,9] C=0 , END
</scratch>
479
| 479 |
Input:
483+501
Target:
| Input:
483+501
Target:
<scratch>
[4,8,3] has 3 digits.
[5,0,1] has 3 digits.
[4,8,3] + [5,0,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[4,8] + [5,0] , A=[4] , C=0 , 8+0+0=8 , A->8 , C->0
[4] + [5] , A=[8,4] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,8,4] C=0 , END
</scratch>
984
| 984 |
Input:
140+327
Target:
| Input:
140+327
Target:
<scratch>
[1,4,0] has 3 digits.
[3,2,7] has 3 digits.
[1,4,0] + [3,2,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[1,4] + [3,2] , A=[7] , C=0 , 4+2+0=6 , A->6 , C->0
[1] + [3] , A=[6,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,6,7] C=0 , END
</scratch>
467
| 467 |
Input:
747+788
Target:
| Input:
747+788
Target:
<scratch>
[7,4,7] has 3 digits.
[7,8,8] has 3 digits.
[7,4,7] + [7,8,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[7,4] + [7,8] , A=[5] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [7] , A=[3,5] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,3,5] C=1 , END
</scratch>
1535
| 1535 |
Input:
412+520
Target:
| Input:
412+520
Target:
<scratch>
[4,1,2] has 3 digits.
[5,2,0] has 3 digits.
[4,1,2] + [5,2,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[4,1] + [5,2] , A=[2] , C=0 , 1+2+0=3 , A->3 , C->0
[4] + [5] , A=[3,2] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,3,2] C=0 , END
</scratch>
932
| 932 |
Input:
898+426
Target:
| Input:
898+426
Target:
<scratch>
[8,9,8] has 3 digits.
[4,2,6] has 3 digits.
[8,9,8] + [4,2,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[8,9] + [4,2] , A=[4] , C=1 , 9+2+1=12 , A->2 , C->1
[8] + [4] , A=[2,4] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,2,4] C=1 , END
</scratch>
1324
| 1324 |
Input:
887+713
Target:
| Input:
887+713
Target:
<scratch>
[8,8,7] has 3 digits.
[7,1,3] has 3 digits.
[8,8,7] + [7,1,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[8,8] + [7,1] , A=[0] , C=1 , 8+1+1=10 , A->0 , C->1
[8] + [7] , A=[0,0] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,0,0] C=1 , END
</scratch>
1600
| 1600 |
Input:
20+970
Target:
| Input:
20+970
Target:
<scratch>
[2,0] has 2 digits.
[9,7,0] has 3 digits.
[2,0] + [9,7,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[2] + [9,7] , A=[0] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [9] , A=[9,0] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,9,0] C=0 , END
</scratch>
990
| 990 |
Input:
182+801
Target:
| Input:
182+801
Target:
<scratch>
[1,8,2] has 3 digits.
[8,0,1] has 3 digits.
[1,8,2] + [8,0,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[1,8] + [8,0] , A=[3] , C=0 , 8+0+0=8 , A->8 , C->0
[1] + [8] , A=[8,3] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,8,3] C=0 , END
</scratch>
983
| 983 |
Input:
843+958
Target:
| Input:
843+958
Target:
<scratch>
[8,4,3] has 3 digits.
[9,5,8] has 3 digits.
[8,4,3] + [9,5,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[8,4] + [9,5] , A=[1] , C=1 , 4+5+1=10 , A->0 , C->1
[8] + [9] , A=[0,1] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,0,1] C=1 , END
</scratch>
1801
| 1801 |
Input:
570+306
Target:
| Input:
570+306
Target:
<scratch>
[5,7,0] has 3 digits.
[3,0,6] has 3 digits.
[5,7,0] + [3,0,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,7] + [3,0] , A=[6] , C=0 , 7+0+0=7 , A->7 , C->0
[5] + [3] , A=[7,6] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,7,6] C=0 , END
</scratch>
876
| 876 |
Input:
689+777
Target:
| Input:
689+777
Target:
<scratch>
[6,8,9] has 3 digits.
[7,7,7] has 3 digits.
[6,8,9] + [7,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,8] + [7,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[6] + [7] , A=[6,6] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,6,6] C=1 , END
</scratch>
1466
| 1466 |
Input:
430+237
Target:
| Input:
430+237
Target:
<scratch>
[4,3,0] has 3 digits.
[2,3,7] has 3 digits.
[4,3,0] + [2,3,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[4,3] + [2,3] , A=[7] , C=0 , 3+3+0=6 , A->6 , C->0
[4] + [2] , A=[6,7] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,6,7] C=0 , END
</scratch>
667
| 667 |
Input:
596+836
Target:
| Input:
596+836
Target:
<scratch>
[5,9,6] has 3 digits.
[8,3,6] has 3 digits.
[5,9,6] + [8,3,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[5,9] + [8,3] , A=[2] , C=1 , 9+3+1=13 , A->3 , C->1
[5] + [8] , A=[3,2] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,3,2] C=1 , END
</scratch>
1432
| 1432 |
Input:
514+212
Target:
| Input:
514+212
Target:
<scratch>
[5,1,4] has 3 digits.
[2,1,2] has 3 digits.
[5,1,4] + [2,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[5,1] + [2,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[5] + [2] , A=[2,6] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,2,6] C=0 , END
</scratch>
726
| 726 |
Input:
217+620
Target:
| Input:
217+620
Target:
<scratch>
[2,1,7] has 3 digits.
[6,2,0] has 3 digits.
[2,1,7] + [6,2,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[2,1] + [6,2] , A=[7] , C=0 , 1+2+0=3 , A->3 , C->0
[2] + [6] , A=[3,7] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,3,7] C=0 , END
</scratch>
837
| 837 |
Input:
915+3
Target:
| Input:
915+3
Target:
<scratch>
[9,1,5] has 3 digits.
[3] has 1 digits.
[9,1,5] + [3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[9,1] + [] , A=[8] , C=0 , 1+0+0=1 , A->1 , C->0
[9] + [] , A=[1,8] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,1,8] C=0 , END
</scratch>
918
| 918 |
Input:
13+400
Target:
| Input:
13+400
Target:
<scratch>
[1,3] has 2 digits.
[4,0,0] has 3 digits.
[1,3] + [4,0,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1] + [4,0] , A=[3] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [4] , A=[1,3] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,1,3] C=0 , END
</scratch>
413
| 413 |
Input:
980+12
Target:
| Input:
980+12
Target:
<scratch>
[9,8,0] has 3 digits.
[1,2] has 2 digits.
[9,8,0] + [1,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[9,8] + [1] , A=[2] , C=0 , 8+1+0=9 , A->9 , C->0
[9] + [] , A=[9,2] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,9,2] C=0 , END
</scratch>
992
| 992 |
Input:
551+142
Target:
| Input:
551+142
Target:
<scratch>
[5,5,1] has 3 digits.
[1,4,2] has 3 digits.
[5,5,1] + [1,4,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[5,5] + [1,4] , A=[3] , C=0 , 5+4+0=9 , A->9 , C->0
[5] + [1] , A=[9,3] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,9,3] C=0 , END
</scratch>
693
| 693 |
Input:
444+500
Target:
| Input:
444+500
Target:
<scratch>
[4,4,4] has 3 digits.
[5,0,0] has 3 digits.
[4,4,4] + [5,0,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[4,4] + [5,0] , A=[4] , C=0 , 4+0+0=4 , A->4 , C->0
[4] + [5] , A=[4,4] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,4,4] C=0 , END
</scratch>
944
| 944 |
Input:
576+435
Target:
| Input:
576+435
Target:
<scratch>
[5,7,6] has 3 digits.
[4,3,5] has 3 digits.
[5,7,6] + [4,3,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[5,7] + [4,3] , A=[1] , C=1 , 7+3+1=11 , A->1 , C->1
[5] + [4] , A=[1,1] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,1,1] C=1 , END
</scratch>
1011
| 1011 |
Input:
283+403
Target:
| Input:
283+403
Target:
<scratch>
[2,8,3] has 3 digits.
[4,0,3] has 3 digits.
[2,8,3] + [4,0,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[2,8] + [4,0] , A=[6] , C=0 , 8+0+0=8 , A->8 , C->0
[2] + [4] , A=[8,6] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,8,6] C=0 , END
</scratch>
686
| 686 |
Input:
675+596
Target:
| Input:
675+596
Target:
<scratch>
[6,7,5] has 3 digits.
[5,9,6] has 3 digits.
[6,7,5] + [5,9,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[6,7] + [5,9] , A=[1] , C=1 , 7+9+1=17 , A->7 , C->1
[6] + [5] , A=[7,1] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,7,1] C=1 , END
</scratch>
1271
| 1271 |
Input:
750+41
Target:
| Input:
750+41
Target:
<scratch>
[7,5,0] has 3 digits.
[4,1] has 2 digits.
[7,5,0] + [4,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[7,5] + [4] , A=[1] , C=0 , 5+4+0=9 , A->9 , C->0
[7] + [] , A=[9,1] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,9,1] C=0 , END
</scratch>
791
| 791 |
Input:
65+624
Target:
| Input:
65+624
Target:
<scratch>
[6,5] has 2 digits.
[6,2,4] has 3 digits.
[6,5] + [6,2,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[6] + [6,2] , A=[9] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [6] , A=[8,9] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,8,9] C=0 , END
</scratch>
689
| 689 |
Input:
802+95
Target:
| Input:
802+95
Target:
<scratch>
[8,0,2] has 3 digits.
[9,5] has 2 digits.
[8,0,2] + [9,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[8,0] + [9] , A=[7] , C=0 , 0+9+0=9 , A->9 , C->0
[8] + [] , A=[9,7] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
779+948
Target:
| Input:
779+948
Target:
<scratch>
[7,7,9] has 3 digits.
[9,4,8] has 3 digits.
[7,7,9] + [9,4,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[7,7] + [9,4] , A=[7] , C=1 , 7+4+1=12 , A->2 , C->1
[7] + [9] , A=[2,7] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,2,7] C=1 , END
</scratch>
1727
| 1727 |
Input:
953+469
Target:
| Input:
953+469
Target:
<scratch>
[9,5,3] has 3 digits.
[4,6,9] has 3 digits.
[9,5,3] + [4,6,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,5] + [4,6] , A=[2] , C=1 , 5+6+1=12 , A->2 , C->1
[9] + [4] , A=[2,2] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,2,2] C=1 , END
</scratch>
1422
| 1422 |
Input:
586+568
Target:
| Input:
586+568
Target:
<scratch>
[5,8,6] has 3 digits.
[5,6,8] has 3 digits.
[5,8,6] + [5,6,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,8] + [5,6] , A=[4] , C=1 , 8+6+1=15 , A->5 , C->1
[5] + [5] , A=[5,4] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,5,4] C=1 , END
</scratch>
1154
| 1154 |
Input:
369+893
Target:
| Input:
369+893
Target:
<scratch>
[3,6,9] has 3 digits.
[8,9,3] has 3 digits.
[3,6,9] + [8,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[3,6] + [8,9] , A=[2] , C=1 , 6+9+1=16 , A->6 , C->1
[3] + [8] , A=[6,2] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,6,2] C=1 , END
</scratch>
1262
| 1262 |
Input:
111+25
Target:
| Input:
111+25
Target:
<scratch>
[1,1,1] has 3 digits.
[2,5] has 2 digits.
[1,1,1] + [2,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[1,1] + [2] , A=[6] , C=0 , 1+2+0=3 , A->3 , C->0
[1] + [] , A=[3,6] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,3,6] C=0 , END
</scratch>
136
| 136 |
Input:
518+592
Target:
| Input:
518+592
Target:
<scratch>
[5,1,8] has 3 digits.
[5,9,2] has 3 digits.
[5,1,8] + [5,9,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[5,1] + [5,9] , A=[0] , C=1 , 1+9+1=11 , A->1 , C->1
[5] + [5] , A=[1,0] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
715+164
Target:
| Input:
715+164
Target:
<scratch>
[7,1,5] has 3 digits.
[1,6,4] has 3 digits.
[7,1,5] + [1,6,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[7,1] + [1,6] , A=[9] , C=0 , 1+6+0=7 , A->7 , C->0
[7] + [1] , A=[7,9] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,7,9] C=0 , END
</scratch>
879
| 879 |
Input:
554+698
Target:
| Input:
554+698
Target:
<scratch>
[5,5,4] has 3 digits.
[6,9,8] has 3 digits.
[5,5,4] + [6,9,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[5,5] + [6,9] , A=[2] , C=1 , 5+9+1=15 , A->5 , C->1
[5] + [6] , A=[5,2] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,5,2] C=1 , END
</scratch>
1252
| 1252 |
Input:
794+787
Target:
| Input:
794+787
Target:
<scratch>
[7,9,4] has 3 digits.
[7,8,7] has 3 digits.
[7,9,4] + [7,8,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[7,9] + [7,8] , A=[1] , C=1 , 9+8+1=18 , A->8 , C->1
[7] + [7] , A=[8,1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,8,1] C=1 , END
</scratch>
1581
| 1581 |
Input:
992+388
Target:
| Input:
992+388
Target:
<scratch>
[9,9,2] has 3 digits.
[3,8,8] has 3 digits.
[9,9,2] + [3,8,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,9] + [3,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[9] + [3] , A=[8,0] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,8,0] C=1 , END
</scratch>
1380
| 1380 |
Input:
560+239
Target:
| Input:
560+239
Target:
<scratch>
[5,6,0] has 3 digits.
[2,3,9] has 3 digits.
[5,6,0] + [2,3,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[5,6] + [2,3] , A=[9] , C=0 , 6+3+0=9 , A->9 , C->0
[5] + [2] , A=[9,9] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,9,9] C=0 , END
</scratch>
799
| 799 |
Input:
979+866
Target:
| Input:
979+866
Target:
<scratch>
[9,7,9] has 3 digits.
[8,6,6] has 3 digits.
[9,7,9] + [8,6,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[9,7] + [8,6] , A=[5] , C=1 , 7+6+1=14 , A->4 , C->1
[9] + [8] , A=[4,5] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,4,5] C=1 , END
</scratch>
1845
| 1845 |
Input:
358+421
Target:
| Input:
358+421
Target:
<scratch>
[3,5,8] has 3 digits.
[4,2,1] has 3 digits.
[3,5,8] + [4,2,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[3,5] + [4,2] , A=[9] , C=0 , 5+2+0=7 , A->7 , C->0
[3] + [4] , A=[7,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,7,9] C=0 , END
</scratch>
779
| 779 |
Input:
242+551
Target:
| Input:
242+551
Target:
<scratch>
[2,4,2] has 3 digits.
[5,5,1] has 3 digits.
[2,4,2] + [5,5,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[2,4] + [5,5] , A=[3] , C=0 , 4+5+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:
505+121
Target:
| Input:
505+121
Target:
<scratch>
[5,0,5] has 3 digits.
[1,2,1] has 3 digits.
[5,0,5] + [1,2,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[5,0] + [1,2] , A=[6] , C=0 , 0+2+0=2 , A->2 , C->0
[5] + [1] , A=[2,6] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,2,6] C=0 , END
</scratch>
626
| 626 |
Input:
70+120
Target:
| Input:
70+120
Target:
<scratch>
[7,0] has 2 digits.
[1,2,0] has 3 digits.
[7,0] + [1,2,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[7] + [1,2] , A=[0] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [1] , A=[9,0] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,9,0] C=0 , END
</scratch>
190
| 190 |
Input:
878+586
Target:
| Input:
878+586
Target:
<scratch>
[8,7,8] has 3 digits.
[5,8,6] has 3 digits.
[8,7,8] + [5,8,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[8,7] + [5,8] , A=[4] , C=1 , 7+8+1=16 , A->6 , C->1
[8] + [5] , A=[6,4] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,6,4] C=1 , END
</scratch>
1464
| 1464 |
Input:
775+377
Target:
| Input:
775+377
Target:
<scratch>
[7,7,5] has 3 digits.
[3,7,7] has 3 digits.
[7,7,5] + [3,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[7,7] + [3,7] , A=[2] , C=1 , 7+7+1=15 , A->5 , C->1
[7] + [3] , A=[5,2] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,5,2] C=1 , END
</scratch>
1152
| 1152 |
Input:
817+185
Target:
| Input:
817+185
Target:
<scratch>
[8,1,7] has 3 digits.
[1,8,5] has 3 digits.
[8,1,7] + [1,8,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[8,1] + [1,8] , A=[2] , C=1 , 1+8+1=10 , A->0 , C->1
[8] + [1] , A=[0,2] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
700+204
Target:
| Input:
700+204
Target:
<scratch>
[7,0,0] has 3 digits.
[2,0,4] has 3 digits.
[7,0,0] + [2,0,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[7,0] + [2,0] , A=[4] , C=0 , 0+0+0=0 , A->0 , C->0
[7] + [2] , A=[0,4] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,0,4] C=0 , END
</scratch>
904
| 904 |
Input:
400+324
Target:
| Input:
400+324
Target:
<scratch>
[4,0,0] has 3 digits.
[3,2,4] has 3 digits.
[4,0,0] + [3,2,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[4,0] + [3,2] , A=[4] , C=0 , 0+2+0=2 , A->2 , C->0
[4] + [3] , A=[2,4] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,2,4] C=0 , END
</scratch>
724
| 724 |
Input:
349+855
Target:
| Input:
349+855
Target:
<scratch>
[3,4,9] has 3 digits.
[8,5,5] has 3 digits.
[3,4,9] + [8,5,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[3,4] + [8,5] , A=[4] , C=1 , 4+5+1=10 , A->0 , C->1
[3] + [8] , A=[0,4] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,0,4] C=1 , END
</scratch>
1204
| 1204 |
Input:
947+31
Target:
| Input:
947+31
Target:
<scratch>
[9,4,7] has 3 digits.
[3,1] has 2 digits.
[9,4,7] + [3,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[9,4] + [3] , A=[8] , C=0 , 4+3+0=7 , A->7 , C->0
[9] + [] , A=[7,8] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,7,8] C=0 , END
</scratch>
978
| 978 |
Input:
885+358
Target:
| Input:
885+358
Target:
<scratch>
[8,8,5] has 3 digits.
[3,5,8] has 3 digits.
[8,8,5] + [3,5,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,8] + [3,5] , A=[3] , C=1 , 8+5+1=14 , A->4 , C->1
[8] + [3] , A=[4,3] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,4,3] C=1 , END
</scratch>
1243
| 1243 |
Input:
314+455
Target:
| Input:
314+455
Target:
<scratch>
[3,1,4] has 3 digits.
[4,5,5] has 3 digits.
[3,1,4] + [4,5,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[3,1] + [4,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[3] + [4] , A=[6,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,6,9] C=0 , END
</scratch>
769
| 769 |
Input:
993+498
Target:
| Input:
993+498
Target:
<scratch>
[9,9,3] has 3 digits.
[4,9,8] has 3 digits.
[9,9,3] + [4,9,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[9,9] + [4,9] , A=[1] , C=1 , 9+9+1=19 , A->9 , C->1
[9] + [4] , A=[9,1] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,9,1] C=1 , END
</scratch>
1491
| 1491 |
Input:
439+794
Target:
| Input:
439+794
Target:
<scratch>
[4,3,9] has 3 digits.
[7,9,4] has 3 digits.
[4,3,9] + [7,9,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[4,3] + [7,9] , A=[3] , C=1 , 3+9+1=13 , A->3 , C->1
[4] + [7] , A=[3,3] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,3,3] C=1 , END
</scratch>
1233
| 1233 |
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