input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
41+119
Target:
| Input:
41+119
Target:
<scratch>
[4,1] has 2 digits.
[1,1,9] has 3 digits.
[4,1] + [1,1,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[4] + [1,1] , A=[0] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [1] , A=[6,0] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,6,0] C=0 , END
</scratch>
160
| 160 |
Input:
589+8
Target:
| Input:
589+8
Target:
<scratch>
[5,8,9] has 3 digits.
[8] has 1 digits.
[5,8,9] + [8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[5,8] + [] , A=[7] , C=1 , 8+0+1=9 , A->9 , C->0
[5] + [] , A=[9,7] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,9,7] C=0 , END
</scratch>
597
| 597 |
Input:
66+945
Target:
| Input:
66+945
Target:
<scratch>
[6,6] has 2 digits.
[9,4,5] has 3 digits.
[6,6] + [9,4,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[6] + [9,4] , A=[1] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [9] , A=[1,1] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,1,1] C=1 , END
</scratch>
1011
| 1011 |
Input:
979+287
Target:
| Input:
979+287
Target:
<scratch>
[9,7,9] has 3 digits.
[2,8,7] has 3 digits.
[9,7,9] + [2,8,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[9,7] + [2,8] , A=[6] , C=1 , 7+8+1=16 , A->6 , C->1
[9] + [2] , A=[6,6] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,6,6] C=1 , END
</scratch>
1266
| 1266 |
Input:
826+922
Target:
| Input:
826+922
Target:
<scratch>
[8,2,6] has 3 digits.
[9,2,2] has 3 digits.
[8,2,6] + [9,2,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[8,2] + [9,2] , A=[8] , C=0 , 2+2+0=4 , A->4 , C->0
[8] + [9] , A=[4,8] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,4,8] C=1 , END
</scratch>
1748
| 1748 |
Input:
649+963
Target:
| Input:
649+963
Target:
<scratch>
[6,4,9] has 3 digits.
[9,6,3] has 3 digits.
[6,4,9] + [9,6,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[6,4] + [9,6] , A=[2] , C=1 , 4+6+1=11 , A->1 , C->1
[6] + [9] , A=[1,2] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,1,2] C=1 , END
</scratch>
1612
| 1612 |
Input:
540+706
Target:
| Input:
540+706
Target:
<scratch>
[5,4,0] has 3 digits.
[7,0,6] has 3 digits.
[5,4,0] + [7,0,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,4] + [7,0] , A=[6] , C=0 , 4+0+0=4 , A->4 , C->0
[5] + [7] , A=[4,6] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,4,6] C=1 , END
</scratch>
1246
| 1246 |
Input:
512+781
Target:
| Input:
512+781
Target:
<scratch>
[5,1,2] has 3 digits.
[7,8,1] has 3 digits.
[5,1,2] + [7,8,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[5,1] + [7,8] , A=[3] , C=0 , 1+8+0=9 , A->9 , C->0
[5] + [7] , A=[9,3] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,9,3] C=1 , END
</scratch>
1293
| 1293 |
Input:
599+722
Target:
| Input:
599+722
Target:
<scratch>
[5,9,9] has 3 digits.
[7,2,2] has 3 digits.
[5,9,9] + [7,2,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,9] + [7,2] , A=[1] , C=1 , 9+2+1=12 , A->2 , C->1
[5] + [7] , A=[2,1] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,2,1] C=1 , END
</scratch>
1321
| 1321 |
Input:
19+306
Target:
| Input:
19+306
Target:
<scratch>
[1,9] has 2 digits.
[3,0,6] has 3 digits.
[1,9] + [3,0,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[1] + [3,0] , A=[5] , C=1 , 1+0+1=2 , A->2 , C->0
[] + [3] , A=[2,5] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,2,5] C=0 , END
</scratch>
325
| 325 |
Input:
142+743
Target:
| Input:
142+743
Target:
<scratch>
[1,4,2] has 3 digits.
[7,4,3] has 3 digits.
[1,4,2] + [7,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[1,4] + [7,4] , A=[5] , C=0 , 4+4+0=8 , A->8 , C->0
[1] + [7] , A=[8,5] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,8,5] C=0 , END
</scratch>
885
| 885 |
Input:
757+48
Target:
| Input:
757+48
Target:
<scratch>
[7,5,7] has 3 digits.
[4,8] has 2 digits.
[7,5,7] + [4,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[7,5] + [4] , A=[5] , C=1 , 5+4+1=10 , A->0 , C->1
[7] + [] , A=[0,5] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,0,5] C=0 , END
</scratch>
805
| 805 |
Input:
217+650
Target:
| Input:
217+650
Target:
<scratch>
[2,1,7] has 3 digits.
[6,5,0] has 3 digits.
[2,1,7] + [6,5,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[2,1] + [6,5] , A=[7] , C=0 , 1+5+0=6 , A->6 , C->0
[2] + [6] , A=[6,7] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,6,7] C=0 , END
</scratch>
867
| 867 |
Input:
115+747
Target:
| Input:
115+747
Target:
<scratch>
[1,1,5] has 3 digits.
[7,4,7] has 3 digits.
[1,1,5] + [7,4,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[1,1] + [7,4] , A=[2] , C=1 , 1+4+1=6 , A->6 , C->0
[1] + [7] , A=[6,2] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,6,2] C=0 , END
</scratch>
862
| 862 |
Input:
689+229
Target:
| Input:
689+229
Target:
<scratch>
[6,8,9] has 3 digits.
[2,2,9] has 3 digits.
[6,8,9] + [2,2,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[6,8] + [2,2] , A=[8] , C=1 , 8+2+1=11 , A->1 , C->1
[6] + [2] , A=[1,8] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,1,8] C=0 , END
</scratch>
918
| 918 |
Input:
802+916
Target:
| Input:
802+916
Target:
<scratch>
[8,0,2] has 3 digits.
[9,1,6] has 3 digits.
[8,0,2] + [9,1,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[8,0] + [9,1] , A=[8] , C=0 , 0+1+0=1 , A->1 , C->0
[8] + [9] , A=[1,8] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,1,8] C=1 , END
</scratch>
1718
| 1718 |
Input:
649+304
Target:
| Input:
649+304
Target:
<scratch>
[6,4,9] has 3 digits.
[3,0,4] has 3 digits.
[6,4,9] + [3,0,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[6,4] + [3,0] , A=[3] , C=1 , 4+0+1=5 , A->5 , C->0
[6] + [3] , A=[5,3] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,5,3] C=0 , END
</scratch>
953
| 953 |
Input:
167+563
Target:
| Input:
167+563
Target:
<scratch>
[1,6,7] has 3 digits.
[5,6,3] has 3 digits.
[1,6,7] + [5,6,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[1,6] + [5,6] , A=[0] , C=1 , 6+6+1=13 , A->3 , C->1
[1] + [5] , A=[3,0] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,3,0] C=0 , END
</scratch>
730
| 730 |
Input:
221+82
Target:
| Input:
221+82
Target:
<scratch>
[2,2,1] has 3 digits.
[8,2] has 2 digits.
[2,2,1] + [8,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[2,2] + [8] , A=[3] , C=0 , 2+8+0=10 , A->0 , C->1
[2] + [] , A=[0,3] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,0,3] C=0 , END
</scratch>
303
| 303 |
Input:
659+201
Target:
| Input:
659+201
Target:
<scratch>
[6,5,9] has 3 digits.
[2,0,1] has 3 digits.
[6,5,9] + [2,0,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[6,5] + [2,0] , A=[0] , C=1 , 5+0+1=6 , A->6 , C->0
[6] + [2] , A=[6,0] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,6,0] C=0 , END
</scratch>
860
| 860 |
Input:
296+664
Target:
| Input:
296+664
Target:
<scratch>
[2,9,6] has 3 digits.
[6,6,4] has 3 digits.
[2,9,6] + [6,6,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[2,9] + [6,6] , A=[0] , C=1 , 9+6+1=16 , A->6 , C->1
[2] + [6] , A=[6,0] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,6,0] C=0 , END
</scratch>
960
| 960 |
Input:
442+570
Target:
| Input:
442+570
Target:
<scratch>
[4,4,2] has 3 digits.
[5,7,0] has 3 digits.
[4,4,2] + [5,7,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[4,4] + [5,7] , A=[2] , C=0 , 4+7+0=11 , A->1 , C->1
[4] + [5] , A=[1,2] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,1,2] C=1 , END
</scratch>
1012
| 1012 |
Input:
970+948
Target:
| Input:
970+948
Target:
<scratch>
[9,7,0] has 3 digits.
[9,4,8] has 3 digits.
[9,7,0] + [9,4,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[9,7] + [9,4] , A=[8] , C=0 , 7+4+0=11 , A->1 , C->1
[9] + [9] , A=[1,8] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,1,8] C=1 , END
</scratch>
1918
| 1918 |
Input:
288+545
Target:
| Input:
288+545
Target:
<scratch>
[2,8,8] has 3 digits.
[5,4,5] has 3 digits.
[2,8,8] + [5,4,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[2,8] + [5,4] , A=[3] , C=1 , 8+4+1=13 , A->3 , C->1
[2] + [5] , A=[3,3] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,3,3] C=0 , END
</scratch>
833
| 833 |
Input:
495+389
Target:
| Input:
495+389
Target:
<scratch>
[4,9,5] has 3 digits.
[3,8,9] has 3 digits.
[4,9,5] + [3,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[4,9] + [3,8] , A=[4] , C=1 , 9+8+1=18 , A->8 , C->1
[4] + [3] , A=[8,4] , C=1 , 4+3+1=8 , A->8 , C->0
[] + [] , A=[8,8,4] C=0 , END
</scratch>
884
| 884 |
Input:
94+426
Target:
| Input:
94+426
Target:
<scratch>
[9,4] has 2 digits.
[4,2,6] has 3 digits.
[9,4] + [4,2,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[9] + [4,2] , A=[0] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [4] , A=[2,0] , C=1 , 0+4+1=5 , A->5 , C->0
[] + [] , A=[5,2,0] C=0 , END
</scratch>
520
| 520 |
Input:
58+832
Target:
| Input:
58+832
Target:
<scratch>
[5,8] has 2 digits.
[8,3,2] has 3 digits.
[5,8] + [8,3,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[5] + [8,3] , A=[0] , C=1 , 5+3+1=9 , A->9 , C->0
[] + [8] , A=[9,0] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,9,0] C=0 , END
</scratch>
890
| 890 |
Input:
122+921
Target:
| Input:
122+921
Target:
<scratch>
[1,2,2] has 3 digits.
[9,2,1] has 3 digits.
[1,2,2] + [9,2,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[1,2] + [9,2] , A=[3] , C=0 , 2+2+0=4 , A->4 , C->0
[1] + [9] , A=[4,3] , C=0 , 1+9+0=10 , A->0 , C->1
[] + [] , A=[0,4,3] C=1 , END
</scratch>
1043
| 1043 |
Input:
21+14
Target:
| Input:
21+14
Target:
<scratch>
[2,1] has 2 digits.
[1,4] has 2 digits.
[2,1] + [1,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[2] + [1] , A=[5] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,5] C=0 , END
</scratch>
35
| 35 |
Input:
341+633
Target:
| Input:
341+633
Target:
<scratch>
[3,4,1] has 3 digits.
[6,3,3] has 3 digits.
[3,4,1] + [6,3,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[3,4] + [6,3] , A=[4] , C=0 , 4+3+0=7 , A->7 , C->0
[3] + [6] , A=[7,4] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,7,4] C=0 , END
</scratch>
974
| 974 |
Input:
335+613
Target:
| Input:
335+613
Target:
<scratch>
[3,3,5] has 3 digits.
[6,1,3] has 3 digits.
[3,3,5] + [6,1,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[3,3] + [6,1] , A=[8] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [6] , A=[4,8] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,4,8] C=0 , END
</scratch>
948
| 948 |
Input:
859+176
Target:
| Input:
859+176
Target:
<scratch>
[8,5,9] has 3 digits.
[1,7,6] has 3 digits.
[8,5,9] + [1,7,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[8,5] + [1,7] , A=[5] , C=1 , 5+7+1=13 , A->3 , C->1
[8] + [1] , A=[3,5] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,3,5] C=1 , END
</scratch>
1035
| 1035 |
Input:
251+837
Target:
| Input:
251+837
Target:
<scratch>
[2,5,1] has 3 digits.
[8,3,7] has 3 digits.
[2,5,1] + [8,3,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[2,5] + [8,3] , A=[8] , C=0 , 5+3+0=8 , A->8 , C->0
[2] + [8] , A=[8,8] , C=0 , 2+8+0=10 , A->0 , C->1
[] + [] , A=[0,8,8] C=1 , END
</scratch>
1088
| 1088 |
Input:
902+381
Target:
| Input:
902+381
Target:
<scratch>
[9,0,2] has 3 digits.
[3,8,1] has 3 digits.
[9,0,2] + [3,8,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[9,0] + [3,8] , A=[3] , C=0 , 0+8+0=8 , A->8 , C->0
[9] + [3] , A=[8,3] , C=0 , 9+3+0=12 , A->2 , C->1
[] + [] , A=[2,8,3] C=1 , END
</scratch>
1283
| 1283 |
Input:
381+118
Target:
| Input:
381+118
Target:
<scratch>
[3,8,1] has 3 digits.
[1,1,8] has 3 digits.
[3,8,1] + [1,1,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[3,8] + [1,1] , A=[9] , C=0 , 8+1+0=9 , A->9 , C->0
[3] + [1] , A=[9,9] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,9,9] C=0 , END
</scratch>
499
| 499 |
Input:
377+264
Target:
| Input:
377+264
Target:
<scratch>
[3,7,7] has 3 digits.
[2,6,4] has 3 digits.
[3,7,7] + [2,6,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[3,7] + [2,6] , A=[1] , C=1 , 7+6+1=14 , A->4 , C->1
[3] + [2] , A=[4,1] , C=1 , 3+2+1=6 , A->6 , C->0
[] + [] , A=[6,4,1] C=0 , END
</scratch>
641
| 641 |
Input:
812+965
Target:
| Input:
812+965
Target:
<scratch>
[8,1,2] has 3 digits.
[9,6,5] has 3 digits.
[8,1,2] + [9,6,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[8,1] + [9,6] , A=[7] , C=0 , 1+6+0=7 , A->7 , C->0
[8] + [9] , A=[7,7] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,7,7] C=1 , END
</scratch>
1777
| 1777 |
Input:
329+769
Target:
| Input:
329+769
Target:
<scratch>
[3,2,9] has 3 digits.
[7,6,9] has 3 digits.
[3,2,9] + [7,6,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[3,2] + [7,6] , A=[8] , C=1 , 2+6+1=9 , A->9 , C->0
[3] + [7] , A=[9,8] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,9,8] C=1 , END
</scratch>
1098
| 1098 |
Input:
842+575
Target:
| Input:
842+575
Target:
<scratch>
[8,4,2] has 3 digits.
[5,7,5] has 3 digits.
[8,4,2] + [5,7,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[8,4] + [5,7] , A=[7] , C=0 , 4+7+0=11 , A->1 , C->1
[8] + [5] , A=[1,7] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,1,7] C=1 , END
</scratch>
1417
| 1417 |
Input:
981+124
Target:
| Input:
981+124
Target:
<scratch>
[9,8,1] has 3 digits.
[1,2,4] has 3 digits.
[9,8,1] + [1,2,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[9,8] + [1,2] , A=[5] , C=0 , 8+2+0=10 , A->0 , C->1
[9] + [1] , A=[0,5] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
263+640
Target:
| Input:
263+640
Target:
<scratch>
[2,6,3] has 3 digits.
[6,4,0] has 3 digits.
[2,6,3] + [6,4,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[2,6] + [6,4] , A=[3] , C=0 , 6+4+0=10 , A->0 , C->1
[2] + [6] , A=[0,3] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,0,3] C=0 , END
</scratch>
903
| 903 |
Input:
338+955
Target:
| Input:
338+955
Target:
<scratch>
[3,3,8] has 3 digits.
[9,5,5] has 3 digits.
[3,3,8] + [9,5,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[3,3] + [9,5] , A=[3] , C=1 , 3+5+1=9 , A->9 , C->0
[3] + [9] , A=[9,3] , C=0 , 3+9+0=12 , A->2 , C->1
[] + [] , A=[2,9,3] C=1 , END
</scratch>
1293
| 1293 |
Input:
91+209
Target:
| Input:
91+209
Target:
<scratch>
[9,1] has 2 digits.
[2,0,9] has 3 digits.
[9,1] + [2,0,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[9] + [2,0] , A=[0] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [2] , A=[0,0] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,0,0] C=0 , END
</scratch>
300
| 300 |
Input:
740+323
Target:
| Input:
740+323
Target:
<scratch>
[7,4,0] has 3 digits.
[3,2,3] has 3 digits.
[7,4,0] + [3,2,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[7,4] + [3,2] , A=[3] , C=0 , 4+2+0=6 , A->6 , C->0
[7] + [3] , A=[6,3] , C=0 , 7+3+0=10 , A->0 , C->1
[] + [] , A=[0,6,3] C=1 , END
</scratch>
1063
| 1063 |
Input:
416+388
Target:
| Input:
416+388
Target:
<scratch>
[4,1,6] has 3 digits.
[3,8,8] has 3 digits.
[4,1,6] + [3,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[4,1] + [3,8] , A=[4] , C=1 , 1+8+1=10 , A->0 , C->1
[4] + [3] , A=[0,4] , C=1 , 4+3+1=8 , A->8 , C->0
[] + [] , A=[8,0,4] C=0 , END
</scratch>
804
| 804 |
Input:
718+679
Target:
| Input:
718+679
Target:
<scratch>
[7,1,8] has 3 digits.
[6,7,9] has 3 digits.
[7,1,8] + [6,7,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[7,1] + [6,7] , A=[7] , C=1 , 1+7+1=9 , A->9 , C->0
[7] + [6] , A=[9,7] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,9,7] C=1 , END
</scratch>
1397
| 1397 |
Input:
163+954
Target:
| Input:
163+954
Target:
<scratch>
[1,6,3] has 3 digits.
[9,5,4] has 3 digits.
[1,6,3] + [9,5,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,6] + [9,5] , A=[7] , C=0 , 6+5+0=11 , A->1 , C->1
[1] + [9] , A=[1,7] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,1,7] C=1 , END
</scratch>
1117
| 1117 |
Input:
753+482
Target:
| Input:
753+482
Target:
<scratch>
[7,5,3] has 3 digits.
[4,8,2] has 3 digits.
[7,5,3] + [4,8,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[7,5] + [4,8] , A=[5] , C=0 , 5+8+0=13 , A->3 , C->1
[7] + [4] , A=[3,5] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,3,5] C=1 , END
</scratch>
1235
| 1235 |
Input:
806+944
Target:
| Input:
806+944
Target:
<scratch>
[8,0,6] has 3 digits.
[9,4,4] has 3 digits.
[8,0,6] + [9,4,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[8,0] + [9,4] , A=[0] , C=1 , 0+4+1=5 , A->5 , C->0
[8] + [9] , A=[5,0] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,5,0] C=1 , END
</scratch>
1750
| 1750 |
Input:
893+212
Target:
| Input:
893+212
Target:
<scratch>
[8,9,3] has 3 digits.
[2,1,2] has 3 digits.
[8,9,3] + [2,1,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[8,9] + [2,1] , A=[5] , C=0 , 9+1+0=10 , A->0 , C->1
[8] + [2] , A=[0,5] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
969+998
Target:
| Input:
969+998
Target:
<scratch>
[9,6,9] has 3 digits.
[9,9,8] has 3 digits.
[9,6,9] + [9,9,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[9,6] + [9,9] , A=[7] , C=1 , 6+9+1=16 , A->6 , C->1
[9] + [9] , A=[6,7] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,6,7] C=1 , END
</scratch>
1967
| 1967 |
Input:
994+972
Target:
| Input:
994+972
Target:
<scratch>
[9,9,4] has 3 digits.
[9,7,2] has 3 digits.
[9,9,4] + [9,7,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[9,9] + [9,7] , A=[6] , C=0 , 9+7+0=16 , A->6 , C->1
[9] + [9] , A=[6,6] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,6,6] C=1 , END
</scratch>
1966
| 1966 |
Input:
594+10
Target:
| Input:
594+10
Target:
<scratch>
[5,9,4] has 3 digits.
[1,0] has 2 digits.
[5,9,4] + [1,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[5,9] + [1] , A=[4] , C=0 , 9+1+0=10 , A->0 , C->1
[5] + [] , A=[0,4] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,0,4] C=0 , END
</scratch>
604
| 604 |
Input:
700+28
Target:
| Input:
700+28
Target:
<scratch>
[7,0,0] has 3 digits.
[2,8] has 2 digits.
[7,0,0] + [2,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[7,0] + [2] , A=[8] , C=0 , 0+2+0=2 , A->2 , C->0
[7] + [] , A=[2,8] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,2,8] C=0 , END
</scratch>
728
| 728 |
Input:
17+557
Target:
| Input:
17+557
Target:
<scratch>
[1,7] has 2 digits.
[5,5,7] has 3 digits.
[1,7] + [5,5,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[1] + [5,5] , A=[4] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [5] , A=[7,4] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,7,4] C=0 , END
</scratch>
574
| 574 |
Input:
129+983
Target:
| Input:
129+983
Target:
<scratch>
[1,2,9] has 3 digits.
[9,8,3] has 3 digits.
[1,2,9] + [9,8,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[1,2] + [9,8] , A=[2] , C=1 , 2+8+1=11 , A->1 , C->1
[1] + [9] , A=[1,2] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,1,2] C=1 , END
</scratch>
1112
| 1112 |
Input:
593+489
Target:
| Input:
593+489
Target:
<scratch>
[5,9,3] has 3 digits.
[4,8,9] has 3 digits.
[5,9,3] + [4,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[5,9] + [4,8] , A=[2] , C=1 , 9+8+1=18 , A->8 , C->1
[5] + [4] , A=[8,2] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,8,2] C=1 , END
</scratch>
1082
| 1082 |
Input:
672+454
Target:
| Input:
672+454
Target:
<scratch>
[6,7,2] has 3 digits.
[4,5,4] has 3 digits.
[6,7,2] + [4,5,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[6,7] + [4,5] , A=[6] , C=0 , 7+5+0=12 , A->2 , C->1
[6] + [4] , A=[2,6] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
44+821
Target:
| Input:
44+821
Target:
<scratch>
[4,4] has 2 digits.
[8,2,1] has 3 digits.
[4,4] + [8,2,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[4] + [8,2] , A=[5] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [8] , A=[6,5] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,6,5] C=0 , END
</scratch>
865
| 865 |
Input:
509+424
Target:
| Input:
509+424
Target:
<scratch>
[5,0,9] has 3 digits.
[4,2,4] has 3 digits.
[5,0,9] + [4,2,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[5,0] + [4,2] , A=[3] , C=1 , 0+2+1=3 , A->3 , C->0
[5] + [4] , A=[3,3] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,3,3] C=0 , END
</scratch>
933
| 933 |
Input:
97+261
Target:
| Input:
97+261
Target:
<scratch>
[9,7] has 2 digits.
[2,6,1] has 3 digits.
[9,7] + [2,6,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[9] + [2,6] , A=[8] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [2] , A=[5,8] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,5,8] C=0 , END
</scratch>
358
| 358 |
Input:
631+149
Target:
| Input:
631+149
Target:
<scratch>
[6,3,1] has 3 digits.
[1,4,9] has 3 digits.
[6,3,1] + [1,4,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[6,3] + [1,4] , A=[0] , C=1 , 3+4+1=8 , A->8 , C->0
[6] + [1] , A=[8,0] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,8,0] C=0 , END
</scratch>
780
| 780 |
Input:
195+445
Target:
| Input:
195+445
Target:
<scratch>
[1,9,5] has 3 digits.
[4,4,5] has 3 digits.
[1,9,5] + [4,4,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[1,9] + [4,4] , A=[0] , C=1 , 9+4+1=14 , A->4 , C->1
[1] + [4] , A=[4,0] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,4,0] C=0 , END
</scratch>
640
| 640 |
Input:
563+130
Target:
| Input:
563+130
Target:
<scratch>
[5,6,3] has 3 digits.
[1,3,0] has 3 digits.
[5,6,3] + [1,3,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[5,6] + [1,3] , A=[3] , C=0 , 6+3+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:
793+861
Target:
| Input:
793+861
Target:
<scratch>
[7,9,3] has 3 digits.
[8,6,1] has 3 digits.
[7,9,3] + [8,6,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[7,9] + [8,6] , A=[4] , C=0 , 9+6+0=15 , A->5 , C->1
[7] + [8] , A=[5,4] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,5,4] C=1 , END
</scratch>
1654
| 1654 |
Input:
380+59
Target:
| Input:
380+59
Target:
<scratch>
[3,8,0] has 3 digits.
[5,9] has 2 digits.
[3,8,0] + [5,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[3,8] + [5] , A=[9] , C=0 , 8+5+0=13 , A->3 , C->1
[3] + [] , A=[3,9] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,3,9] C=0 , END
</scratch>
439
| 439 |
Input:
175+608
Target:
| Input:
175+608
Target:
<scratch>
[1,7,5] has 3 digits.
[6,0,8] has 3 digits.
[1,7,5] + [6,0,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[1,7] + [6,0] , A=[3] , C=1 , 7+0+1=8 , A->8 , C->0
[1] + [6] , A=[8,3] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,3] C=0 , END
</scratch>
783
| 783 |
Input:
133+429
Target:
| Input:
133+429
Target:
<scratch>
[1,3,3] has 3 digits.
[4,2,9] has 3 digits.
[1,3,3] + [4,2,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[1,3] + [4,2] , A=[2] , C=1 , 3+2+1=6 , A->6 , C->0
[1] + [4] , A=[6,2] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,6,2] C=0 , END
</scratch>
562
| 562 |
Input:
204+353
Target:
| Input:
204+353
Target:
<scratch>
[2,0,4] has 3 digits.
[3,5,3] has 3 digits.
[2,0,4] + [3,5,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[2,0] + [3,5] , A=[7] , C=0 , 0+5+0=5 , A->5 , C->0
[2] + [3] , A=[5,7] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,5,7] C=0 , END
</scratch>
557
| 557 |
Input:
431+951
Target:
| Input:
431+951
Target:
<scratch>
[4,3,1] has 3 digits.
[9,5,1] has 3 digits.
[4,3,1] + [9,5,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[4,3] + [9,5] , A=[2] , C=0 , 3+5+0=8 , A->8 , C->0
[4] + [9] , A=[8,2] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,8,2] C=1 , END
</scratch>
1382
| 1382 |
Input:
923+232
Target:
| Input:
923+232
Target:
<scratch>
[9,2,3] has 3 digits.
[2,3,2] has 3 digits.
[9,2,3] + [2,3,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[9,2] + [2,3] , A=[5] , C=0 , 2+3+0=5 , A->5 , C->0
[9] + [2] , A=[5,5] , C=0 , 9+2+0=11 , A->1 , C->1
[] + [] , A=[1,5,5] C=1 , END
</scratch>
1155
| 1155 |
Input:
405+492
Target:
| Input:
405+492
Target:
<scratch>
[4,0,5] has 3 digits.
[4,9,2] has 3 digits.
[4,0,5] + [4,9,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[4,0] + [4,9] , A=[7] , C=0 , 0+9+0=9 , A->9 , C->0
[4] + [4] , A=[9,7] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
182+112
Target:
| Input:
182+112
Target:
<scratch>
[1,8,2] has 3 digits.
[1,1,2] has 3 digits.
[1,8,2] + [1,1,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[1,8] + [1,1] , A=[4] , C=0 , 8+1+0=9 , A->9 , C->0
[1] + [1] , A=[9,4] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,9,4] C=0 , END
</scratch>
294
| 294 |
Input:
134+391
Target:
| Input:
134+391
Target:
<scratch>
[1,3,4] has 3 digits.
[3,9,1] has 3 digits.
[1,3,4] + [3,9,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[1,3] + [3,9] , A=[5] , C=0 , 3+9+0=12 , A->2 , C->1
[1] + [3] , A=[2,5] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,2,5] C=0 , END
</scratch>
525
| 525 |
Input:
814+233
Target:
| Input:
814+233
Target:
<scratch>
[8,1,4] has 3 digits.
[2,3,3] has 3 digits.
[8,1,4] + [2,3,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[8,1] + [2,3] , A=[7] , C=0 , 1+3+0=4 , A->4 , C->0
[8] + [2] , A=[4,7] , C=0 , 8+2+0=10 , A->0 , C->1
[] + [] , A=[0,4,7] C=1 , END
</scratch>
1047
| 1047 |
Input:
436+358
Target:
| Input:
436+358
Target:
<scratch>
[4,3,6] has 3 digits.
[3,5,8] has 3 digits.
[4,3,6] + [3,5,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[4,3] + [3,5] , A=[4] , C=1 , 3+5+1=9 , A->9 , C->0
[4] + [3] , A=[9,4] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,9,4] C=0 , END
</scratch>
794
| 794 |
Input:
797+129
Target:
| Input:
797+129
Target:
<scratch>
[7,9,7] has 3 digits.
[1,2,9] has 3 digits.
[7,9,7] + [1,2,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[7,9] + [1,2] , A=[6] , C=1 , 9+2+1=12 , A->2 , C->1
[7] + [1] , A=[2,6] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,2,6] C=0 , END
</scratch>
926
| 926 |
Input:
229+347
Target:
| Input:
229+347
Target:
<scratch>
[2,2,9] has 3 digits.
[3,4,7] has 3 digits.
[2,2,9] + [3,4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[2,2] + [3,4] , A=[6] , C=1 , 2+4+1=7 , A->7 , C->0
[2] + [3] , A=[7,6] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,7,6] C=0 , END
</scratch>
576
| 576 |
Input:
411+148
Target:
| Input:
411+148
Target:
<scratch>
[4,1,1] has 3 digits.
[1,4,8] has 3 digits.
[4,1,1] + [1,4,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[4,1] + [1,4] , A=[9] , C=0 , 1+4+0=5 , A->5 , C->0
[4] + [1] , A=[5,9] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,5,9] C=0 , END
</scratch>
559
| 559 |
Input:
392+256
Target:
| Input:
392+256
Target:
<scratch>
[3,9,2] has 3 digits.
[2,5,6] has 3 digits.
[3,9,2] + [2,5,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[3,9] + [2,5] , A=[8] , C=0 , 9+5+0=14 , A->4 , C->1
[3] + [2] , A=[4,8] , C=1 , 3+2+1=6 , A->6 , C->0
[] + [] , A=[6,4,8] C=0 , END
</scratch>
648
| 648 |
Input:
534+635
Target:
| Input:
534+635
Target:
<scratch>
[5,3,4] has 3 digits.
[6,3,5] has 3 digits.
[5,3,4] + [6,3,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[5,3] + [6,3] , A=[9] , C=0 , 3+3+0=6 , A->6 , C->0
[5] + [6] , A=[6,9] , C=0 , 5+6+0=11 , A->1 , C->1
[] + [] , A=[1,6,9] C=1 , END
</scratch>
1169
| 1169 |
Input:
568+229
Target:
| Input:
568+229
Target:
<scratch>
[5,6,8] has 3 digits.
[2,2,9] has 3 digits.
[5,6,8] + [2,2,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5,6] + [2,2] , A=[7] , C=1 , 6+2+1=9 , A->9 , C->0
[5] + [2] , A=[9,7] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,9,7] C=0 , END
</scratch>
797
| 797 |
Input:
112+32
Target:
| Input:
112+32
Target:
<scratch>
[1,1,2] has 3 digits.
[3,2] has 2 digits.
[1,1,2] + [3,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[1,1] + [3] , A=[4] , C=0 , 1+3+0=4 , A->4 , C->0
[1] + [] , A=[4,4] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,4,4] C=0 , END
</scratch>
144
| 144 |
Input:
524+268
Target:
| Input:
524+268
Target:
<scratch>
[5,2,4] has 3 digits.
[2,6,8] has 3 digits.
[5,2,4] + [2,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[5,2] + [2,6] , A=[2] , C=1 , 2+6+1=9 , A->9 , C->0
[5] + [2] , A=[9,2] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,9,2] C=0 , END
</scratch>
792
| 792 |
Input:
144+151
Target:
| Input:
144+151
Target:
<scratch>
[1,4,4] has 3 digits.
[1,5,1] has 3 digits.
[1,4,4] + [1,5,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[1,4] + [1,5] , A=[5] , C=0 , 4+5+0=9 , A->9 , C->0
[1] + [1] , A=[9,5] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,9,5] C=0 , END
</scratch>
295
| 295 |
Input:
122+469
Target:
| Input:
122+469
Target:
<scratch>
[1,2,2] has 3 digits.
[4,6,9] has 3 digits.
[1,2,2] + [4,6,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[1,2] + [4,6] , A=[1] , C=1 , 2+6+1=9 , A->9 , C->0
[1] + [4] , A=[9,1] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,9,1] C=0 , END
</scratch>
591
| 591 |
Input:
335+161
Target:
| Input:
335+161
Target:
<scratch>
[3,3,5] has 3 digits.
[1,6,1] has 3 digits.
[3,3,5] + [1,6,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[3,3] + [1,6] , A=[6] , C=0 , 3+6+0=9 , A->9 , C->0
[3] + [1] , A=[9,6] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,9,6] C=0 , END
</scratch>
496
| 496 |
Input:
224+703
Target:
| Input:
224+703
Target:
<scratch>
[2,2,4] has 3 digits.
[7,0,3] has 3 digits.
[2,2,4] + [7,0,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[2,2] + [7,0] , A=[7] , C=0 , 2+0+0=2 , A->2 , C->0
[2] + [7] , A=[2,7] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,2,7] C=0 , END
</scratch>
927
| 927 |
Input:
423+910
Target:
| Input:
423+910
Target:
<scratch>
[4,2,3] has 3 digits.
[9,1,0] has 3 digits.
[4,2,3] + [9,1,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[4,2] + [9,1] , A=[3] , C=0 , 2+1+0=3 , A->3 , C->0
[4] + [9] , A=[3,3] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,3,3] C=1 , END
</scratch>
1333
| 1333 |
Input:
205+280
Target:
| Input:
205+280
Target:
<scratch>
[2,0,5] has 3 digits.
[2,8,0] has 3 digits.
[2,0,5] + [2,8,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[2,0] + [2,8] , A=[5] , C=0 , 0+8+0=8 , A->8 , C->0
[2] + [2] , A=[8,5] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,8,5] C=0 , END
</scratch>
485
| 485 |
Input:
22+715
Target:
| Input:
22+715
Target:
<scratch>
[2,2] has 2 digits.
[7,1,5] has 3 digits.
[2,2] + [7,1,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[2] + [7,1] , A=[7] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [7] , A=[3,7] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,3,7] C=0 , END
</scratch>
737
| 737 |
Input:
599+755
Target:
| Input:
599+755
Target:
<scratch>
[5,9,9] has 3 digits.
[7,5,5] has 3 digits.
[5,9,9] + [7,5,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[5,9] + [7,5] , A=[4] , C=1 , 9+5+1=15 , A->5 , C->1
[5] + [7] , A=[5,4] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,5,4] C=1 , END
</scratch>
1354
| 1354 |
Input:
479+519
Target:
| Input:
479+519
Target:
<scratch>
[4,7,9] has 3 digits.
[5,1,9] has 3 digits.
[4,7,9] + [5,1,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,7] + [5,1] , A=[8] , C=1 , 7+1+1=9 , A->9 , C->0
[4] + [5] , A=[9,8] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,8] C=0 , END
</scratch>
998
| 998 |
Input:
752+487
Target:
| Input:
752+487
Target:
<scratch>
[7,5,2] has 3 digits.
[4,8,7] has 3 digits.
[7,5,2] + [4,8,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[7,5] + [4,8] , A=[9] , C=0 , 5+8+0=13 , A->3 , C->1
[7] + [4] , A=[3,9] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,3,9] C=1 , END
</scratch>
1239
| 1239 |
Input:
256+696
Target:
| Input:
256+696
Target:
<scratch>
[2,5,6] has 3 digits.
[6,9,6] has 3 digits.
[2,5,6] + [6,9,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[2,5] + [6,9] , A=[2] , C=1 , 5+9+1=15 , A->5 , C->1
[2] + [6] , A=[5,2] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,5,2] C=0 , END
</scratch>
952
| 952 |
Input:
146+731
Target:
| Input:
146+731
Target:
<scratch>
[1,4,6] has 3 digits.
[7,3,1] has 3 digits.
[1,4,6] + [7,3,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[1,4] + [7,3] , A=[7] , C=0 , 4+3+0=7 , A->7 , C->0
[1] + [7] , A=[7,7] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,7,7] C=0 , END
</scratch>
877
| 877 |
Input:
429+216
Target:
| Input:
429+216
Target:
<scratch>
[4,2,9] has 3 digits.
[2,1,6] has 3 digits.
[4,2,9] + [2,1,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[4,2] + [2,1] , A=[5] , C=1 , 2+1+1=4 , A->4 , C->0
[4] + [2] , A=[4,5] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,4,5] C=0 , END
</scratch>
645
| 645 |
Input:
310+12
Target:
| Input:
310+12
Target:
<scratch>
[3,1,0] has 3 digits.
[1,2] has 2 digits.
[3,1,0] + [1,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,1] + [1] , A=[2] , C=0 , 1+1+0=2 , A->2 , C->0
[3] + [] , A=[2,2] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,2,2] C=0 , END
</scratch>
322
| 322 |
Input:
45+296
Target:
| Input:
45+296
Target:
<scratch>
[4,5] has 2 digits.
[2,9,6] has 3 digits.
[4,5] + [2,9,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[4] + [2,9] , A=[1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [2] , A=[4,1] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,4,1] C=0 , END
</scratch>
341
| 341 |
Input:
971+682
Target:
| Input:
971+682
Target:
<scratch>
[9,7,1] has 3 digits.
[6,8,2] has 3 digits.
[9,7,1] + [6,8,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[9,7] + [6,8] , A=[3] , C=0 , 7+8+0=15 , A->5 , C->1
[9] + [6] , A=[5,3] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,5,3] C=1 , END
</scratch>
1653
| 1653 |
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