input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
485+718
Target:
| Input:
485+718
Target:
<scratch>
[4,8,5] has 3 digits.
[7,1,8] has 3 digits.
[4,8,5] + [7,1,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[4,8] + [7,1] , A=[3] , C=1 , 8+1+1=10 , A->0 , C->1
[4] + [7] , A=[0,3] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,3] C=1 , END
</scratch>
1203
| 1203 |
Input:
897+587
Target:
| Input:
897+587
Target:
<scratch>
[8,9,7] has 3 digits.
[5,8,7] has 3 digits.
[8,9,7] + [5,8,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,9] + [5,8] , A=[4] , C=1 , 9+8+1=18 , A->8 , C->1
[8] + [5] , A=[8,4] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,8,4] C=1 , END
</scratch>
1484
| 1484 |
Input:
495+738
Target:
| Input:
495+738
Target:
<scratch>
[4,9,5] has 3 digits.
[7,3,8] has 3 digits.
[4,9,5] + [7,3,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[4,9] + [7,3] , A=[3] , C=1 , 9+3+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 |
Input:
855+278
Target:
| Input:
855+278
Target:
<scratch>
[8,5,5] has 3 digits.
[2,7,8] has 3 digits.
[8,5,5] + [2,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,5] + [2,7] , A=[3] , C=1 , 5+7+1=13 , A->3 , C->1
[8] + [2] , A=[3,3] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,3,3] C=1 , END
</scratch>
1133
| 1133 |
Input:
765+275
Target:
| Input:
765+275
Target:
<scratch>
[7,6,5] has 3 digits.
[2,7,5] has 3 digits.
[7,6,5] + [2,7,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[7,6] + [2,7] , A=[0] , C=1 , 6+7+1=14 , A->4 , C->1
[7] + [2] , A=[4,0] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,4,0] C=1 , END
</scratch>
1040
| 1040 |
Input:
844+457
Target:
| Input:
844+457
Target:
<scratch>
[8,4,4] has 3 digits.
[4,5,7] has 3 digits.
[8,4,4] + [4,5,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,4] + [4,5] , A=[1] , C=1 , 4+5+1=10 , A->0 , C->1
[8] + [4] , A=[0,1] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,0,1] C=1 , END
</scratch>
1301
| 1301 |
Input:
459+982
Target:
| Input:
459+982
Target:
<scratch>
[4,5,9] has 3 digits.
[9,8,2] has 3 digits.
[4,5,9] + [9,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[4,5] + [9,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[4] + [9] , A=[4,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,4,1] C=1 , END
</scratch>
1441
| 1441 |
Input:
808+197
Target:
| Input:
808+197
Target:
<scratch>
[8,0,8] has 3 digits.
[1,9,7] has 3 digits.
[8,0,8] + [1,9,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[8,0] + [1,9] , A=[5] , C=1 , 0+9+1=10 , A->0 , C->1
[8] + [1] , A=[0,5] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,5] C=1 , END
</scratch>
1005
| 1005 |
Input:
618+793
Target:
| Input:
618+793
Target:
<scratch>
[6,1,8] has 3 digits.
[7,9,3] has 3 digits.
[6,1,8] + [7,9,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[6,1] + [7,9] , A=[1] , C=1 , 1+9+1=11 , A->1 , C->1
[6] + [7] , A=[1,1] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,1,1] C=1 , END
</scratch>
1411
| 1411 |
Input:
886+794
Target:
| Input:
886+794
Target:
<scratch>
[8,8,6] has 3 digits.
[7,9,4] has 3 digits.
[8,8,6] + [7,9,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[8,8] + [7,9] , A=[0] , C=1 , 8+9+1=18 , A->8 , C->1
[8] + [7] , A=[8,0] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,8,0] C=1 , END
</scratch>
1680
| 1680 |
Input:
768+534
Target:
| Input:
768+534
Target:
<scratch>
[7,6,8] has 3 digits.
[5,3,4] has 3 digits.
[7,6,8] + [5,3,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[7,6] + [5,3] , A=[2] , C=1 , 6+3+1=10 , A->0 , C->1
[7] + [5] , A=[0,2] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,0,2] C=1 , END
</scratch>
1302
| 1302 |
Input:
172+979
Target:
| Input:
172+979
Target:
<scratch>
[1,7,2] has 3 digits.
[9,7,9] has 3 digits.
[1,7,2] + [9,7,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[1,7] + [9,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[1] + [9] , A=[5,1] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,5,1] C=1 , END
</scratch>
1151
| 1151 |
Input:
855+185
Target:
| Input:
855+185
Target:
<scratch>
[8,5,5] has 3 digits.
[1,8,5] has 3 digits.
[8,5,5] + [1,8,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[8,5] + [1,8] , A=[0] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [1] , A=[4,0] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,4,0] C=1 , END
</scratch>
1040
| 1040 |
Input:
479+763
Target:
| Input:
479+763
Target:
<scratch>
[4,7,9] has 3 digits.
[7,6,3] has 3 digits.
[4,7,9] + [7,6,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[4,7] + [7,6] , A=[2] , C=1 , 7+6+1=14 , A->4 , C->1
[4] + [7] , A=[4,2] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,4,2] C=1 , END
</scratch>
1242
| 1242 |
Input:
379+964
Target:
| Input:
379+964
Target:
<scratch>
[3,7,9] has 3 digits.
[9,6,4] has 3 digits.
[3,7,9] + [9,6,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[3,7] + [9,6] , A=[3] , C=1 , 7+6+1=14 , A->4 , C->1
[3] + [9] , A=[4,3] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,4,3] C=1 , END
</scratch>
1343
| 1343 |
Input:
478+938
Target:
| Input:
478+938
Target:
<scratch>
[4,7,8] has 3 digits.
[9,3,8] has 3 digits.
[4,7,8] + [9,3,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[4,7] + [9,3] , A=[6] , C=1 , 7+3+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:
985+669
Target:
| Input:
985+669
Target:
<scratch>
[9,8,5] has 3 digits.
[6,6,9] has 3 digits.
[9,8,5] + [6,6,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[9,8] + [6,6] , A=[4] , C=1 , 8+6+1=15 , A->5 , C->1
[9] + [6] , A=[5,4] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,5,4] C=1 , END
</scratch>
1654
| 1654 |
Input:
67+988
Target:
| Input:
67+988
Target:
<scratch>
[6,7] has 2 digits.
[9,8,8] has 3 digits.
[6,7] + [9,8,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[6] + [9,8] , A=[5] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [9] , A=[5,5] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,5,5] C=1 , END
</scratch>
1055
| 1055 |
Input:
588+533
Target:
| Input:
588+533
Target:
<scratch>
[5,8,8] has 3 digits.
[5,3,3] has 3 digits.
[5,8,8] + [5,3,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[5,8] + [5,3] , A=[1] , C=1 , 8+3+1=12 , A->2 , C->1
[5] + [5] , A=[2,1] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,2,1] C=1 , END
</scratch>
1121
| 1121 |
Input:
976+546
Target:
| Input:
976+546
Target:
<scratch>
[9,7,6] has 3 digits.
[5,4,6] has 3 digits.
[9,7,6] + [5,4,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[9,7] + [5,4] , A=[2] , C=1 , 7+4+1=12 , A->2 , C->1
[9] + [5] , A=[2,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,2,2] C=1 , END
</scratch>
1522
| 1522 |
Input:
198+952
Target:
| Input:
198+952
Target:
<scratch>
[1,9,8] has 3 digits.
[9,5,2] has 3 digits.
[1,9,8] + [9,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[1,9] + [9,5] , A=[0] , C=1 , 9+5+1=15 , A->5 , C->1
[1] + [9] , A=[5,0] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,5,0] C=1 , END
</scratch>
1150
| 1150 |
Input:
637+579
Target:
| Input:
637+579
Target:
<scratch>
[6,3,7] has 3 digits.
[5,7,9] has 3 digits.
[6,3,7] + [5,7,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6,3] + [5,7] , A=[6] , C=1 , 3+7+1=11 , A->1 , C->1
[6] + [5] , A=[1,6] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,1,6] C=1 , END
</scratch>
1216
| 1216 |
Input:
885+867
Target:
| Input:
885+867
Target:
<scratch>
[8,8,5] has 3 digits.
[8,6,7] has 3 digits.
[8,8,5] + [8,6,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[8,8] + [8,6] , A=[2] , C=1 , 8+6+1=15 , A->5 , C->1
[8] + [8] , A=[5,2] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,5,2] C=1 , END
</scratch>
1752
| 1752 |
Input:
995+768
Target:
| Input:
995+768
Target:
<scratch>
[9,9,5] has 3 digits.
[7,6,8] has 3 digits.
[9,9,5] + [7,6,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[9,9] + [7,6] , A=[3] , C=1 , 9+6+1=16 , A->6 , C->1
[9] + [7] , A=[6,3] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,6,3] C=1 , END
</scratch>
1763
| 1763 |
Input:
487+853
Target:
| Input:
487+853
Target:
<scratch>
[4,8,7] has 3 digits.
[8,5,3] has 3 digits.
[4,8,7] + [8,5,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[4,8] + [8,5] , A=[0] , C=1 , 8+5+1=14 , A->4 , C->1
[4] + [8] , A=[4,0] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,4,0] C=1 , END
</scratch>
1340
| 1340 |
Input:
699+617
Target:
| Input:
699+617
Target:
<scratch>
[6,9,9] has 3 digits.
[6,1,7] has 3 digits.
[6,9,9] + [6,1,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,9] + [6,1] , A=[6] , C=1 , 9+1+1=11 , A->1 , C->1
[6] + [6] , A=[1,6] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,1,6] C=1 , END
</scratch>
1316
| 1316 |
Input:
866+287
Target:
| Input:
866+287
Target:
<scratch>
[8,6,6] has 3 digits.
[2,8,7] has 3 digits.
[8,6,6] + [2,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[8,6] + [2,8] , A=[3] , C=1 , 6+8+1=15 , A->5 , C->1
[8] + [2] , A=[5,3] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,5,3] C=1 , END
</scratch>
1153
| 1153 |
Input:
798+497
Target:
| Input:
798+497
Target:
<scratch>
[7,9,8] has 3 digits.
[4,9,7] has 3 digits.
[7,9,8] + [4,9,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[7,9] + [4,9] , A=[5] , C=1 , 9+9+1=19 , A->9 , C->1
[7] + [4] , A=[9,5] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,9,5] C=1 , END
</scratch>
1295
| 1295 |
Input:
147+999
Target:
| Input:
147+999
Target:
<scratch>
[1,4,7] has 3 digits.
[9,9,9] has 3 digits.
[1,4,7] + [9,9,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[1,4] + [9,9] , A=[6] , C=1 , 4+9+1=14 , A->4 , C->1
[1] + [9] , A=[4,6] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,4,6] C=1 , END
</scratch>
1146
| 1146 |
Input:
286+918
Target:
| Input:
286+918
Target:
<scratch>
[2,8,6] has 3 digits.
[9,1,8] has 3 digits.
[2,8,6] + [9,1,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[2,8] + [9,1] , A=[4] , C=1 , 8+1+1=10 , A->0 , C->1
[2] + [9] , A=[0,4] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,0,4] C=1 , END
</scratch>
1204
| 1204 |
Input:
496+887
Target:
| Input:
496+887
Target:
<scratch>
[4,9,6] has 3 digits.
[8,8,7] has 3 digits.
[4,9,6] + [8,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[4,9] + [8,8] , A=[3] , C=1 , 9+8+1=18 , A->8 , C->1
[4] + [8] , A=[8,3] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,8,3] C=1 , END
</scratch>
1383
| 1383 |
Input:
898+166
Target:
| Input:
898+166
Target:
<scratch>
[8,9,8] has 3 digits.
[1,6,6] has 3 digits.
[8,9,8] + [1,6,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[8,9] + [1,6] , A=[4] , C=1 , 9+6+1=16 , A->6 , C->1
[8] + [1] , A=[6,4] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,6,4] C=1 , END
</scratch>
1064
| 1064 |
Input:
958+763
Target:
| Input:
958+763
Target:
<scratch>
[9,5,8] has 3 digits.
[7,6,3] has 3 digits.
[9,5,8] + [7,6,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,5] + [7,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[9] + [7] , A=[2,1] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,2,1] C=1 , END
</scratch>
1721
| 1721 |
Input:
356+666
Target:
| Input:
356+666
Target:
<scratch>
[3,5,6] has 3 digits.
[6,6,6] has 3 digits.
[3,5,6] + [6,6,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[3,5] + [6,6] , A=[2] , C=1 , 5+6+1=12 , A->2 , C->1
[3] + [6] , A=[2,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,2,2] C=1 , END
</scratch>
1022
| 1022 |
Input:
67+965
Target:
| Input:
67+965
Target:
<scratch>
[6,7] has 2 digits.
[9,6,5] has 3 digits.
[6,7] + [9,6,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[6] + [9,6] , A=[2] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [9] , A=[3,2] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,3,2] C=1 , END
</scratch>
1032
| 1032 |
Input:
857+799
Target:
| Input:
857+799
Target:
<scratch>
[8,5,7] has 3 digits.
[7,9,9] has 3 digits.
[8,5,7] + [7,9,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[8,5] + [7,9] , A=[6] , C=1 , 5+9+1=15 , A->5 , C->1
[8] + [7] , A=[5,6] , C=1 , 8+7+1=16 , A->6 , C->1
[] + [] , A=[6,5,6] C=1 , END
</scratch>
1656
| 1656 |
Input:
249+785
Target:
| Input:
249+785
Target:
<scratch>
[2,4,9] has 3 digits.
[7,8,5] has 3 digits.
[2,4,9] + [7,8,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[2,4] + [7,8] , A=[4] , C=1 , 4+8+1=13 , A->3 , C->1
[2] + [7] , A=[3,4] , C=1 , 2+7+1=10 , A->0 , C->1
[] + [] , A=[0,3,4] C=1 , END
</scratch>
1034
| 1034 |
Input:
516+598
Target:
| Input:
516+598
Target:
<scratch>
[5,1,6] has 3 digits.
[5,9,8] has 3 digits.
[5,1,6] + [5,9,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[5,1] + [5,9] , A=[4] , C=1 , 1+9+1=11 , A->1 , C->1
[5] + [5] , A=[1,4] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,1,4] C=1 , END
</scratch>
1114
| 1114 |
Input:
169+965
Target:
| Input:
169+965
Target:
<scratch>
[1,6,9] has 3 digits.
[9,6,5] has 3 digits.
[1,6,9] + [9,6,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[1,6] + [9,6] , A=[4] , C=1 , 6+6+1=13 , A->3 , C->1
[1] + [9] , A=[3,4] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,3,4] C=1 , END
</scratch>
1134
| 1134 |
Input:
894+198
Target:
| Input:
894+198
Target:
<scratch>
[8,9,4] has 3 digits.
[1,9,8] has 3 digits.
[8,9,4] + [1,9,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,9] + [1,9] , A=[2] , C=1 , 9+9+1=19 , A->9 , C->1
[8] + [1] , A=[9,2] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,9,2] C=1 , END
</scratch>
1092
| 1092 |
Input:
859+952
Target:
| Input:
859+952
Target:
<scratch>
[8,5,9] has 3 digits.
[9,5,2] has 3 digits.
[8,5,9] + [9,5,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,5] + [9,5] , A=[1] , C=1 , 5+5+1=11 , A->1 , C->1
[8] + [9] , A=[1,1] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,1,1] C=1 , END
</scratch>
1811
| 1811 |
Input:
778+929
Target:
| Input:
778+929
Target:
<scratch>
[7,7,8] has 3 digits.
[9,2,9] has 3 digits.
[7,7,8] + [9,2,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[7,7] + [9,2] , A=[7] , C=1 , 7+2+1=10 , A->0 , C->1
[7] + [9] , A=[0,7] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,0,7] C=1 , END
</scratch>
1707
| 1707 |
Input:
679+564
Target:
| Input:
679+564
Target:
<scratch>
[6,7,9] has 3 digits.
[5,6,4] has 3 digits.
[6,7,9] + [5,6,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[6,7] + [5,6] , A=[3] , C=1 , 7+6+1=14 , A->4 , C->1
[6] + [5] , A=[4,3] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,4,3] C=1 , END
</scratch>
1243
| 1243 |
Input:
997+959
Target:
| Input:
997+959
Target:
<scratch>
[9,9,7] has 3 digits.
[9,5,9] has 3 digits.
[9,9,7] + [9,5,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[9,9] + [9,5] , A=[6] , C=1 , 9+5+1=15 , A->5 , C->1
[9] + [9] , A=[5,6] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,5,6] C=1 , END
</scratch>
1956
| 1956 |
Input:
438+878
Target:
| Input:
438+878
Target:
<scratch>
[4,3,8] has 3 digits.
[8,7,8] has 3 digits.
[4,3,8] + [8,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[4,3] + [8,7] , A=[6] , C=1 , 3+7+1=11 , A->1 , C->1
[4] + [8] , A=[1,6] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,1,6] C=1 , END
</scratch>
1316
| 1316 |
Input:
999+395
Target:
| Input:
999+395
Target:
<scratch>
[9,9,9] has 3 digits.
[3,9,5] has 3 digits.
[9,9,9] + [3,9,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[9,9] + [3,9] , A=[4] , C=1 , 9+9+1=19 , A->9 , C->1
[9] + [3] , A=[9,4] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,9,4] C=1 , END
</scratch>
1394
| 1394 |
Input:
559+564
Target:
| Input:
559+564
Target:
<scratch>
[5,5,9] has 3 digits.
[5,6,4] has 3 digits.
[5,5,9] + [5,6,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[5,5] + [5,6] , A=[3] , C=1 , 5+6+1=12 , A->2 , C->1
[5] + [5] , A=[2,3] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,2,3] C=1 , END
</scratch>
1123
| 1123 |
Input:
774+559
Target:
| Input:
774+559
Target:
<scratch>
[7,7,4] has 3 digits.
[5,5,9] has 3 digits.
[7,7,4] + [5,5,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[7,7] + [5,5] , A=[3] , C=1 , 7+5+1=13 , A->3 , C->1
[7] + [5] , A=[3,3] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,3,3] C=1 , END
</scratch>
1333
| 1333 |
Input:
883+488
Target:
| Input:
883+488
Target:
<scratch>
[8,8,3] has 3 digits.
[4,8,8] has 3 digits.
[8,8,3] + [4,8,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[8,8] + [4,8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[8] + [4] , A=[7,1] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,7,1] C=1 , END
</scratch>
1371
| 1371 |
Input:
456+744
Target:
| Input:
456+744
Target:
<scratch>
[4,5,6] has 3 digits.
[7,4,4] has 3 digits.
[4,5,6] + [7,4,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[4,5] + [7,4] , A=[0] , C=1 , 5+4+1=10 , A->0 , C->1
[4] + [7] , A=[0,0] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,0] C=1 , END
</scratch>
1200
| 1200 |
Input:
725+476
Target:
| Input:
725+476
Target:
<scratch>
[7,2,5] has 3 digits.
[4,7,6] has 3 digits.
[7,2,5] + [4,7,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[7,2] + [4,7] , A=[1] , C=1 , 2+7+1=10 , A->0 , C->1
[7] + [4] , A=[0,1] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,0,1] C=1 , END
</scratch>
1201
| 1201 |
Input:
999+309
Target:
| Input:
999+309
Target:
<scratch>
[9,9,9] has 3 digits.
[3,0,9] has 3 digits.
[9,9,9] + [3,0,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,9] + [3,0] , A=[8] , C=1 , 9+0+1=10 , A->0 , C->1
[9] + [3] , A=[0,8] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,0,8] C=1 , END
</scratch>
1308
| 1308 |
Input:
848+555
Target:
| Input:
848+555
Target:
<scratch>
[8,4,8] has 3 digits.
[5,5,5] has 3 digits.
[8,4,8] + [5,5,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[8,4] + [5,5] , A=[3] , C=1 , 4+5+1=10 , A->0 , C->1
[8] + [5] , A=[0,3] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,0,3] C=1 , END
</scratch>
1403
| 1403 |
Input:
679+992
Target:
| Input:
679+992
Target:
<scratch>
[6,7,9] has 3 digits.
[9,9,2] has 3 digits.
[6,7,9] + [9,9,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[6,7] + [9,9] , A=[1] , C=1 , 7+9+1=17 , A->7 , C->1
[6] + [9] , A=[7,1] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,7,1] C=1 , END
</scratch>
1671
| 1671 |
Input:
358+878
Target:
| Input:
358+878
Target:
<scratch>
[3,5,8] has 3 digits.
[8,7,8] has 3 digits.
[3,5,8] + [8,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3,5] + [8,7] , A=[6] , C=1 , 5+7+1=13 , A->3 , C->1
[3] + [8] , A=[3,6] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,3,6] C=1 , END
</scratch>
1236
| 1236 |
Input:
496+925
Target:
| Input:
496+925
Target:
<scratch>
[4,9,6] has 3 digits.
[9,2,5] has 3 digits.
[4,9,6] + [9,2,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[4,9] + [9,2] , A=[1] , C=1 , 9+2+1=12 , A->2 , C->1
[4] + [9] , A=[2,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,2,1] C=1 , END
</scratch>
1421
| 1421 |
Input:
989+49
Target:
| Input:
989+49
Target:
<scratch>
[9,8,9] has 3 digits.
[4,9] has 2 digits.
[9,8,9] + [4,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[9,8] + [4] , A=[8] , C=1 , 8+4+1=13 , A->3 , C->1
[9] + [] , A=[3,8] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,3,8] C=1 , END
</scratch>
1038
| 1038 |
Input:
418+682
Target:
| Input:
418+682
Target:
<scratch>
[4,1,8] has 3 digits.
[6,8,2] has 3 digits.
[4,1,8] + [6,8,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,1] + [6,8] , A=[0] , C=1 , 1+8+1=10 , A->0 , C->1
[4] + [6] , A=[0,0] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,0,0] C=1 , END
</scratch>
1100
| 1100 |
Input:
493+549
Target:
| Input:
493+549
Target:
<scratch>
[4,9,3] has 3 digits.
[5,4,9] has 3 digits.
[4,9,3] + [5,4,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[4,9] + [5,4] , A=[2] , C=1 , 9+4+1=14 , A->4 , C->1
[4] + [5] , A=[4,2] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,4,2] C=1 , END
</scratch>
1042
| 1042 |
Input:
944+369
Target:
| Input:
944+369
Target:
<scratch>
[9,4,4] has 3 digits.
[3,6,9] has 3 digits.
[9,4,4] + [3,6,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[9,4] + [3,6] , A=[3] , C=1 , 4+6+1=11 , A->1 , C->1
[9] + [3] , A=[1,3] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,1,3] C=1 , END
</scratch>
1313
| 1313 |
Input:
856+347
Target:
| Input:
856+347
Target:
<scratch>
[8,5,6] has 3 digits.
[3,4,7] has 3 digits.
[8,5,6] + [3,4,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[8,5] + [3,4] , A=[3] , C=1 , 5+4+1=10 , A->0 , C->1
[8] + [3] , A=[0,3] , C=1 , 8+3+1=12 , A->2 , C->1
[] + [] , A=[2,0,3] C=1 , END
</scratch>
1203
| 1203 |
Input:
779+391
Target:
| Input:
779+391
Target:
<scratch>
[7,7,9] has 3 digits.
[3,9,1] has 3 digits.
[7,7,9] + [3,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[7,7] + [3,9] , A=[0] , C=1 , 7+9+1=17 , A->7 , C->1
[7] + [3] , A=[7,0] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,7,0] C=1 , END
</scratch>
1170
| 1170 |
Input:
874+368
Target:
| Input:
874+368
Target:
<scratch>
[8,7,4] has 3 digits.
[3,6,8] has 3 digits.
[8,7,4] + [3,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,7] + [3,6] , A=[2] , C=1 , 7+6+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:
658+975
Target:
| Input:
658+975
Target:
<scratch>
[6,5,8] has 3 digits.
[9,7,5] has 3 digits.
[6,5,8] + [9,7,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[6,5] + [9,7] , A=[3] , C=1 , 5+7+1=13 , A->3 , C->1
[6] + [9] , A=[3,3] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,3,3] C=1 , END
</scratch>
1633
| 1633 |
Input:
607+396
Target:
| Input:
607+396
Target:
<scratch>
[6,0,7] has 3 digits.
[3,9,6] has 3 digits.
[6,0,7] + [3,9,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[6,0] + [3,9] , A=[3] , C=1 , 0+9+1=10 , A->0 , C->1
[6] + [3] , A=[0,3] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,0,3] C=1 , END
</scratch>
1003
| 1003 |
Input:
498+682
Target:
| Input:
498+682
Target:
<scratch>
[4,9,8] has 3 digits.
[6,8,2] has 3 digits.
[4,9,8] + [6,8,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,9] + [6,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[4] + [6] , A=[8,0] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,8,0] C=1 , END
</scratch>
1180
| 1180 |
Input:
598+626
Target:
| Input:
598+626
Target:
<scratch>
[5,9,8] has 3 digits.
[6,2,6] has 3 digits.
[5,9,8] + [6,2,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[5,9] + [6,2] , A=[4] , C=1 , 9+2+1=12 , A->2 , C->1
[5] + [6] , A=[2,4] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,2,4] C=1 , END
</scratch>
1224
| 1224 |
Input:
581+919
Target:
| Input:
581+919
Target:
<scratch>
[5,8,1] has 3 digits.
[9,1,9] has 3 digits.
[5,8,1] + [9,1,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[5,8] + [9,1] , A=[0] , C=1 , 8+1+1=10 , A->0 , C->1
[5] + [9] , A=[0,0] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,0,0] C=1 , END
</scratch>
1500
| 1500 |
Input:
758+947
Target:
| Input:
758+947
Target:
<scratch>
[7,5,8] has 3 digits.
[9,4,7] has 3 digits.
[7,5,8] + [9,4,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[7,5] + [9,4] , A=[5] , C=1 , 5+4+1=10 , A->0 , C->1
[7] + [9] , A=[0,5] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,0,5] C=1 , END
</scratch>
1705
| 1705 |
Input:
595+529
Target:
| Input:
595+529
Target:
<scratch>
[5,9,5] has 3 digits.
[5,2,9] has 3 digits.
[5,9,5] + [5,2,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[5,9] + [5,2] , A=[4] , C=1 , 9+2+1=12 , A->2 , C->1
[5] + [5] , A=[2,4] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,2,4] C=1 , END
</scratch>
1124
| 1124 |
Input:
548+986
Target:
| Input:
548+986
Target:
<scratch>
[5,4,8] has 3 digits.
[9,8,6] has 3 digits.
[5,4,8] + [9,8,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[5,4] + [9,8] , A=[4] , C=1 , 4+8+1=13 , A->3 , C->1
[5] + [9] , A=[3,4] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,3,4] C=1 , END
</scratch>
1534
| 1534 |
Input:
478+642
Target:
| Input:
478+642
Target:
<scratch>
[4,7,8] has 3 digits.
[6,4,2] has 3 digits.
[4,7,8] + [6,4,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,7] + [6,4] , A=[0] , C=1 , 7+4+1=12 , A->2 , C->1
[4] + [6] , A=[2,0] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,2,0] C=1 , END
</scratch>
1120
| 1120 |
Input:
382+898
Target:
| Input:
382+898
Target:
<scratch>
[3,8,2] has 3 digits.
[8,9,8] has 3 digits.
[3,8,2] + [8,9,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[3,8] + [8,9] , A=[0] , C=1 , 8+9+1=18 , A->8 , C->1
[3] + [8] , A=[8,0] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,8,0] C=1 , END
</scratch>
1280
| 1280 |
Input:
748+565
Target:
| Input:
748+565
Target:
<scratch>
[7,4,8] has 3 digits.
[5,6,5] has 3 digits.
[7,4,8] + [5,6,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[7,4] + [5,6] , A=[3] , C=1 , 4+6+1=11 , A->1 , C->1
[7] + [5] , A=[1,3] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,3] C=1 , END
</scratch>
1313
| 1313 |
Input:
592+899
Target:
| Input:
592+899
Target:
<scratch>
[5,9,2] has 3 digits.
[8,9,9] has 3 digits.
[5,9,2] + [8,9,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[5,9] + [8,9] , A=[1] , C=1 , 9+9+1=19 , A->9 , C->1
[5] + [8] , A=[9,1] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,9,1] C=1 , END
</scratch>
1491
| 1491 |
Input:
636+694
Target:
| Input:
636+694
Target:
<scratch>
[6,3,6] has 3 digits.
[6,9,4] has 3 digits.
[6,3,6] + [6,9,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,3] + [6,9] , A=[0] , C=1 , 3+9+1=13 , A->3 , C->1
[6] + [6] , A=[3,0] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,3,0] C=1 , END
</scratch>
1330
| 1330 |
Input:
586+549
Target:
| Input:
586+549
Target:
<scratch>
[5,8,6] has 3 digits.
[5,4,9] has 3 digits.
[5,8,6] + [5,4,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[5,8] + [5,4] , A=[5] , C=1 , 8+4+1=13 , A->3 , C->1
[5] + [5] , A=[3,5] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,3,5] C=1 , END
</scratch>
1135
| 1135 |
Input:
597+599
Target:
| Input:
597+599
Target:
<scratch>
[5,9,7] has 3 digits.
[5,9,9] has 3 digits.
[5,9,7] + [5,9,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[5,9] + [5,9] , A=[6] , C=1 , 9+9+1=19 , A->9 , C->1
[5] + [5] , A=[9,6] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,9,6] C=1 , END
</scratch>
1196
| 1196 |
Input:
567+754
Target:
| Input:
567+754
Target:
<scratch>
[5,6,7] has 3 digits.
[7,5,4] has 3 digits.
[5,6,7] + [7,5,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[5,6] + [7,5] , A=[1] , C=1 , 6+5+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:
108+999
Target:
| Input:
108+999
Target:
<scratch>
[1,0,8] has 3 digits.
[9,9,9] has 3 digits.
[1,0,8] + [9,9,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[1,0] + [9,9] , A=[7] , C=1 , 0+9+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:
975+457
Target:
| Input:
975+457
Target:
<scratch>
[9,7,5] has 3 digits.
[4,5,7] has 3 digits.
[9,7,5] + [4,5,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,7] + [4,5] , A=[2] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [4] , A=[3,2] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,3,2] C=1 , END
</scratch>
1432
| 1432 |
Input:
713+398
Target:
| Input:
713+398
Target:
<scratch>
[7,1,3] has 3 digits.
[3,9,8] has 3 digits.
[7,1,3] + [3,9,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[7,1] + [3,9] , A=[1] , C=1 , 1+9+1=11 , A->1 , C->1
[7] + [3] , A=[1,1] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,1,1] C=1 , END
</scratch>
1111
| 1111 |
Input:
516+987
Target:
| Input:
516+987
Target:
<scratch>
[5,1,6] has 3 digits.
[9,8,7] has 3 digits.
[5,1,6] + [9,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[5,1] + [9,8] , A=[3] , C=1 , 1+8+1=10 , A->0 , C->1
[5] + [9] , A=[0,3] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,0,3] C=1 , END
</scratch>
1503
| 1503 |
Input:
886+567
Target:
| Input:
886+567
Target:
<scratch>
[8,8,6] has 3 digits.
[5,6,7] has 3 digits.
[8,8,6] + [5,6,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[8,8] + [5,6] , A=[3] , C=1 , 8+6+1=15 , A->5 , C->1
[8] + [5] , A=[5,3] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,5,3] C=1 , END
</scratch>
1453
| 1453 |
Input:
494+516
Target:
| Input:
494+516
Target:
<scratch>
[4,9,4] has 3 digits.
[5,1,6] has 3 digits.
[4,9,4] + [5,1,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[4,9] + [5,1] , A=[0] , C=1 , 9+1+1=11 , A->1 , C->1
[4] + [5] , A=[1,0] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,1,0] C=1 , END
</scratch>
1010
| 1010 |
Input:
352+869
Target:
| Input:
352+869
Target:
<scratch>
[3,5,2] has 3 digits.
[8,6,9] has 3 digits.
[3,5,2] + [8,6,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[3,5] + [8,6] , A=[1] , C=1 , 5+6+1=12 , A->2 , C->1
[3] + [8] , A=[2,1] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,2,1] C=1 , END
</scratch>
1221
| 1221 |
Input:
765+675
Target:
| Input:
765+675
Target:
<scratch>
[7,6,5] has 3 digits.
[6,7,5] has 3 digits.
[7,6,5] + [6,7,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[7,6] + [6,7] , A=[0] , C=1 , 6+7+1=14 , A->4 , C->1
[7] + [6] , A=[4,0] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,4,0] C=1 , END
</scratch>
1440
| 1440 |
Input:
386+929
Target:
| Input:
386+929
Target:
<scratch>
[3,8,6] has 3 digits.
[9,2,9] has 3 digits.
[3,8,6] + [9,2,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[3,8] + [9,2] , A=[5] , C=1 , 8+2+1=11 , A->1 , C->1
[3] + [9] , A=[1,5] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,1,5] C=1 , END
</scratch>
1315
| 1315 |
Input:
887+948
Target:
| Input:
887+948
Target:
<scratch>
[8,8,7] has 3 digits.
[9,4,8] has 3 digits.
[8,8,7] + [9,4,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,8] + [9,4] , A=[5] , C=1 , 8+4+1=13 , A->3 , C->1
[8] + [9] , A=[3,5] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,3,5] C=1 , END
</scratch>
1835
| 1835 |
Input:
956+558
Target:
| Input:
956+558
Target:
<scratch>
[9,5,6] has 3 digits.
[5,5,8] has 3 digits.
[9,5,6] + [5,5,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[9,5] + [5,5] , A=[4] , C=1 , 5+5+1=11 , A->1 , C->1
[9] + [5] , A=[1,4] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,4] C=1 , END
</scratch>
1514
| 1514 |
Input:
397+629
Target:
| Input:
397+629
Target:
<scratch>
[3,9,7] has 3 digits.
[6,2,9] has 3 digits.
[3,9,7] + [6,2,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[3,9] + [6,2] , A=[6] , C=1 , 9+2+1=12 , A->2 , C->1
[3] + [6] , A=[2,6] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,2,6] C=1 , END
</scratch>
1026
| 1026 |
Input:
973+749
Target:
| Input:
973+749
Target:
<scratch>
[9,7,3] has 3 digits.
[7,4,9] has 3 digits.
[9,7,3] + [7,4,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,7] + [7,4] , A=[2] , C=1 , 7+4+1=12 , A->2 , C->1
[9] + [7] , A=[2,2] , C=1 , 9+7+1=17 , A->7 , C->1
[] + [] , A=[7,2,2] C=1 , END
</scratch>
1722
| 1722 |
Input:
495+926
Target:
| Input:
495+926
Target:
<scratch>
[4,9,5] has 3 digits.
[9,2,6] has 3 digits.
[4,9,5] + [9,2,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[4,9] + [9,2] , A=[1] , C=1 , 9+2+1=12 , A->2 , C->1
[4] + [9] , A=[2,1] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,2,1] C=1 , END
</scratch>
1421
| 1421 |
Input:
374+677
Target:
| Input:
374+677
Target:
<scratch>
[3,7,4] has 3 digits.
[6,7,7] has 3 digits.
[3,7,4] + [6,7,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[3,7] + [6,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[3] + [6] , A=[5,1] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,5,1] C=1 , END
</scratch>
1051
| 1051 |
Input:
966+685
Target:
| Input:
966+685
Target:
<scratch>
[9,6,6] has 3 digits.
[6,8,5] has 3 digits.
[9,6,6] + [6,8,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[9,6] + [6,8] , A=[1] , C=1 , 6+8+1=15 , A->5 , C->1
[9] + [6] , A=[5,1] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,5,1] C=1 , END
</scratch>
1651
| 1651 |
Input:
769+833
Target:
| Input:
769+833
Target:
<scratch>
[7,6,9] has 3 digits.
[8,3,3] has 3 digits.
[7,6,9] + [8,3,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[7,6] + [8,3] , A=[2] , C=1 , 6+3+1=10 , A->0 , C->1
[7] + [8] , A=[0,2] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,0,2] C=1 , END
</scratch>
1602
| 1602 |
Input:
664+357
Target:
| Input:
664+357
Target:
<scratch>
[6,6,4] has 3 digits.
[3,5,7] has 3 digits.
[6,6,4] + [3,5,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[6,6] + [3,5] , A=[1] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [3] , A=[2,1] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,2,1] C=1 , END
</scratch>
1021
| 1021 |
Input:
787+627
Target:
| Input:
787+627
Target:
<scratch>
[7,8,7] has 3 digits.
[6,2,7] has 3 digits.
[7,8,7] + [6,2,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[7,8] + [6,2] , A=[4] , C=1 , 8+2+1=11 , A->1 , C->1
[7] + [6] , A=[1,4] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,1,4] C=1 , END
</scratch>
1414
| 1414 |
Input:
867+644
Target:
| Input:
867+644
Target:
<scratch>
[8,6,7] has 3 digits.
[6,4,4] has 3 digits.
[8,6,7] + [6,4,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[8,6] + [6,4] , A=[1] , C=1 , 6+4+1=11 , A->1 , C->1
[8] + [6] , A=[1,1] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,1,1] C=1 , END
</scratch>
1511
| 1511 |
Input:
774+946
Target:
| Input:
774+946
Target:
<scratch>
[7,7,4] has 3 digits.
[9,4,6] has 3 digits.
[7,7,4] + [9,4,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[7,7] + [9,4] , A=[0] , C=1 , 7+4+1=12 , A->2 , C->1
[7] + [9] , A=[2,0] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,2,0] C=1 , END
</scratch>
1720
| 1720 |
Subsets and Splits