input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
---|---|---|
Input:
681+649
Target:
| Input:
681+649
Target:
<scratch>
[6,8,1] has 3 digits.
[6,4,9] has 3 digits.
[6,8,1] + [6,4,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[6,8] + [6,4] , A=[0] , C=1 , 8+4+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:
225+143
Target:
| Input:
225+143
Target:
<scratch>
[2,2,5] has 3 digits.
[1,4,3] has 3 digits.
[2,2,5] + [1,4,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[2,2] + [1,4] , A=[8] , C=0 , 2+4+0=6 , A->6 , C->0
[2] + [1] , A=[6,8] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,6,8] C=0 , END
</scratch>
368
| 368 |
Input:
31+57
Target:
| Input:
31+57
Target:
<scratch>
[3,1] has 2 digits.
[5,7] has 2 digits.
[3,1] + [5,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[3] + [5] , A=[8] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,8] C=0 , END
</scratch>
88
| 88 |
Input:
493+518
Target:
| Input:
493+518
Target:
<scratch>
[4,9,3] has 3 digits.
[5,1,8] has 3 digits.
[4,9,3] + [5,1,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[4,9] + [5,1] , A=[1] , C=1 , 9+1+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:
803+2
Target:
| Input:
803+2
Target:
<scratch>
[8,0,3] has 3 digits.
[2] has 1 digits.
[8,0,3] + [2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[8,0] + [] , A=[5] , C=0 , 0+0+0=0 , A->0 , C->0
[8] + [] , A=[0,5] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,0,5] C=0 , END
</scratch>
805
| 805 |
Input:
510+170
Target:
| Input:
510+170
Target:
<scratch>
[5,1,0] has 3 digits.
[1,7,0] has 3 digits.
[5,1,0] + [1,7,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[5,1] + [1,7] , A=[0] , C=0 , 1+7+0=8 , A->8 , C->0
[5] + [1] , A=[8,0] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,8,0] C=0 , END
</scratch>
680
| 680 |
Input:
586+767
Target:
| Input:
586+767
Target:
<scratch>
[5,8,6] has 3 digits.
[7,6,7] has 3 digits.
[5,8,6] + [7,6,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[5,8] + [7,6] , A=[3] , C=1 , 8+6+1=15 , A->5 , C->1
[5] + [7] , A=[5,3] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,5,3] C=1 , END
</scratch>
1353
| 1353 |
Input:
111+727
Target:
| Input:
111+727
Target:
<scratch>
[1,1,1] has 3 digits.
[7,2,7] has 3 digits.
[1,1,1] + [7,2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,1] + [7,2] , A=[8] , C=0 , 1+2+0=3 , A->3 , C->0
[1] + [7] , A=[3,8] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,3,8] C=0 , END
</scratch>
838
| 838 |
Input:
899+661
Target:
| Input:
899+661
Target:
<scratch>
[8,9,9] has 3 digits.
[6,6,1] has 3 digits.
[8,9,9] + [6,6,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[8,9] + [6,6] , A=[0] , C=1 , 9+6+1=16 , A->6 , C->1
[8] + [6] , A=[6,0] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,6,0] C=1 , END
</scratch>
1560
| 1560 |
Input:
163+413
Target:
| Input:
163+413
Target:
<scratch>
[1,6,3] has 3 digits.
[4,1,3] has 3 digits.
[1,6,3] + [4,1,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,6] + [4,1] , A=[6] , C=0 , 6+1+0=7 , A->7 , C->0
[1] + [4] , A=[7,6] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,7,6] C=0 , END
</scratch>
576
| 576 |
Input:
958+272
Target:
| Input:
958+272
Target:
<scratch>
[9,5,8] has 3 digits.
[2,7,2] has 3 digits.
[9,5,8] + [2,7,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,5] + [2,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[9] + [2] , A=[3,0] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,3,0] C=1 , END
</scratch>
1230
| 1230 |
Input:
100+310
Target:
| Input:
100+310
Target:
<scratch>
[1,0,0] has 3 digits.
[3,1,0] has 3 digits.
[1,0,0] + [3,1,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1,0] + [3,1] , A=[0] , C=0 , 0+1+0=1 , A->1 , C->0
[1] + [3] , A=[1,0] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,1,0] C=0 , END
</scratch>
410
| 410 |
Input:
95+301
Target:
| Input:
95+301
Target:
<scratch>
[9,5] has 2 digits.
[3,0,1] has 3 digits.
[9,5] + [3,0,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9] + [3,0] , A=[6] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [3] , A=[9,6] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,9,6] C=0 , END
</scratch>
396
| 396 |
Input:
836+469
Target:
| Input:
836+469
Target:
<scratch>
[8,3,6] has 3 digits.
[4,6,9] has 3 digits.
[8,3,6] + [4,6,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[8,3] + [4,6] , A=[5] , C=1 , 3+6+1=10 , A->0 , C->1
[8] + [4] , A=[0,5] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,0,5] C=1 , END
</scratch>
1305
| 1305 |
Input:
61+927
Target:
| Input:
61+927
Target:
<scratch>
[6,1] has 2 digits.
[9,2,7] has 3 digits.
[6,1] + [9,2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[6] + [9,2] , A=[8] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [9] , A=[8,8] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,8,8] C=0 , END
</scratch>
988
| 988 |
Input:
133+144
Target:
| Input:
133+144
Target:
<scratch>
[1,3,3] has 3 digits.
[1,4,4] has 3 digits.
[1,3,3] + [1,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,3] + [1,4] , A=[7] , C=0 , 3+4+0=7 , A->7 , C->0
[1] + [1] , A=[7,7] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,7,7] C=0 , END
</scratch>
277
| 277 |
Input:
886+218
Target:
| Input:
886+218
Target:
<scratch>
[8,8,6] has 3 digits.
[2,1,8] has 3 digits.
[8,8,6] + [2,1,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[8,8] + [2,1] , A=[4] , C=1 , 8+1+1=10 , A->0 , C->1
[8] + [2] , A=[0,4] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,4] C=1 , END
</scratch>
1104
| 1104 |
Input:
483+599
Target:
| Input:
483+599
Target:
<scratch>
[4,8,3] has 3 digits.
[5,9,9] has 3 digits.
[4,8,3] + [5,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[4,8] + [5,9] , A=[2] , C=1 , 8+9+1=18 , A->8 , C->1
[4] + [5] , A=[8,2] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,8,2] C=1 , END
</scratch>
1082
| 1082 |
Input:
828+698
Target:
| Input:
828+698
Target:
<scratch>
[8,2,8] has 3 digits.
[6,9,8] has 3 digits.
[8,2,8] + [6,9,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[8,2] + [6,9] , A=[6] , C=1 , 2+9+1=12 , A->2 , C->1
[8] + [6] , A=[2,6] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,2,6] C=1 , END
</scratch>
1526
| 1526 |
Input:
8+401
Target:
| Input:
8+401
Target:
<scratch>
[8] has 1 digits.
[4,0,1] has 3 digits.
[8] + [4,0,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [4,0] , A=[9] , C=0 , 0+0+0=0 , A->0 , C->0
[] + [4] , A=[0,9] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,0,9] C=0 , END
</scratch>
409
| 409 |
Input:
542+147
Target:
| Input:
542+147
Target:
<scratch>
[5,4,2] has 3 digits.
[1,4,7] has 3 digits.
[5,4,2] + [1,4,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[5,4] + [1,4] , A=[9] , C=0 , 4+4+0=8 , A->8 , C->0
[5] + [1] , A=[8,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,8,9] C=0 , END
</scratch>
689
| 689 |
Input:
118+170
Target:
| Input:
118+170
Target:
<scratch>
[1,1,8] has 3 digits.
[1,7,0] has 3 digits.
[1,1,8] + [1,7,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[1,1] + [1,7] , A=[8] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [1] , A=[8,8] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,8,8] C=0 , END
</scratch>
288
| 288 |
Input:
30+63
Target:
| Input:
30+63
Target:
<scratch>
[3,0] has 2 digits.
[6,3] has 2 digits.
[3,0] + [6,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[3] + [6] , A=[3] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,3] C=0 , END
</scratch>
93
| 93 |
Input:
500+421
Target:
| Input:
500+421
Target:
<scratch>
[5,0,0] has 3 digits.
[4,2,1] has 3 digits.
[5,0,0] + [4,2,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[5,0] + [4,2] , A=[1] , C=0 , 0+2+0=2 , A->2 , C->0
[5] + [4] , A=[2,1] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,2,1] C=0 , END
</scratch>
921
| 921 |
Input:
128+897
Target:
| Input:
128+897
Target:
<scratch>
[1,2,8] has 3 digits.
[8,9,7] has 3 digits.
[1,2,8] + [8,9,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[1,2] + [8,9] , A=[5] , C=1 , 2+9+1=12 , A->2 , C->1
[1] + [8] , A=[2,5] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,2,5] C=1 , END
</scratch>
1025
| 1025 |
Input:
237+332
Target:
| Input:
237+332
Target:
<scratch>
[2,3,7] has 3 digits.
[3,3,2] has 3 digits.
[2,3,7] + [3,3,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[2,3] + [3,3] , A=[9] , C=0 , 3+3+0=6 , A->6 , C->0
[2] + [3] , A=[6,9] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,6,9] C=0 , END
</scratch>
569
| 569 |
Input:
713+166
Target:
| Input:
713+166
Target:
<scratch>
[7,1,3] has 3 digits.
[1,6,6] has 3 digits.
[7,1,3] + [1,6,6] , A=[] , C=0 , 3+6+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:
144+30
Target:
| Input:
144+30
Target:
<scratch>
[1,4,4] has 3 digits.
[3,0] has 2 digits.
[1,4,4] + [3,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[1,4] + [3] , A=[4] , C=0 , 4+3+0=7 , A->7 , C->0
[1] + [] , A=[7,4] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,7,4] C=0 , END
</scratch>
174
| 174 |
Input:
15+304
Target:
| Input:
15+304
Target:
<scratch>
[1,5] has 2 digits.
[3,0,4] has 3 digits.
[1,5] + [3,0,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[1] + [3,0] , A=[9] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [3] , A=[1,9] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,1,9] C=0 , END
</scratch>
319
| 319 |
Input:
694+487
Target:
| Input:
694+487
Target:
<scratch>
[6,9,4] has 3 digits.
[4,8,7] has 3 digits.
[6,9,4] + [4,8,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[6,9] + [4,8] , A=[1] , C=1 , 9+8+1=18 , A->8 , C->1
[6] + [4] , A=[8,1] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,8,1] C=1 , END
</scratch>
1181
| 1181 |
Input:
3+571
Target:
| Input:
3+571
Target:
<scratch>
[3] has 1 digits.
[5,7,1] has 3 digits.
[3] + [5,7,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [5,7] , A=[4] , C=0 , 0+7+0=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:
926+584
Target:
| Input:
926+584
Target:
<scratch>
[9,2,6] has 3 digits.
[5,8,4] has 3 digits.
[9,2,6] + [5,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[9,2] + [5,8] , A=[0] , C=1 , 2+8+1=11 , A->1 , C->1
[9] + [5] , A=[1,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,1,0] C=1 , END
</scratch>
1510
| 1510 |
Input:
354+314
Target:
| Input:
354+314
Target:
<scratch>
[3,5,4] has 3 digits.
[3,1,4] has 3 digits.
[3,5,4] + [3,1,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[3,5] + [3,1] , A=[8] , C=0 , 5+1+0=6 , A->6 , C->0
[3] + [3] , A=[6,8] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,6,8] C=0 , END
</scratch>
668
| 668 |
Input:
569+558
Target:
| Input:
569+558
Target:
<scratch>
[5,6,9] has 3 digits.
[5,5,8] has 3 digits.
[5,6,9] + [5,5,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[5,6] + [5,5] , A=[7] , C=1 , 6+5+1=12 , A->2 , C->1
[5] + [5] , A=[2,7] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,2,7] C=1 , END
</scratch>
1127
| 1127 |
Input:
300+89
Target:
| Input:
300+89
Target:
<scratch>
[3,0,0] has 3 digits.
[8,9] has 2 digits.
[3,0,0] + [8,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[3,0] + [8] , A=[9] , C=0 , 0+8+0=8 , A->8 , C->0
[3] + [] , A=[8,9] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,8,9] C=0 , END
</scratch>
389
| 389 |
Input:
877+546
Target:
| Input:
877+546
Target:
<scratch>
[8,7,7] has 3 digits.
[5,4,6] has 3 digits.
[8,7,7] + [5,4,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[8,7] + [5,4] , A=[3] , C=1 , 7+4+1=12 , A->2 , C->1
[8] + [5] , A=[2,3] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,2,3] C=1 , END
</scratch>
1423
| 1423 |
Input:
129+870
Target:
| Input:
129+870
Target:
<scratch>
[1,2,9] has 3 digits.
[8,7,0] has 3 digits.
[1,2,9] + [8,7,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[1,2] + [8,7] , A=[9] , C=0 , 2+7+0=9 , A->9 , C->0
[1] + [8] , A=[9,9] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,9,9] C=0 , END
</scratch>
999
| 999 |
Input:
309+699
Target:
| Input:
309+699
Target:
<scratch>
[3,0,9] has 3 digits.
[6,9,9] has 3 digits.
[3,0,9] + [6,9,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[3,0] + [6,9] , A=[8] , C=1 , 0+9+1=10 , A->0 , C->1
[3] + [6] , A=[0,8] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,0,8] C=1 , END
</scratch>
1008
| 1008 |
Input:
655+559
Target:
| Input:
655+559
Target:
<scratch>
[6,5,5] has 3 digits.
[5,5,9] has 3 digits.
[6,5,5] + [5,5,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,5] + [5,5] , A=[4] , C=1 , 5+5+1=11 , A->1 , C->1
[6] + [5] , A=[1,4] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,1,4] C=1 , END
</scratch>
1214
| 1214 |
Input:
118+751
Target:
| Input:
118+751
Target:
<scratch>
[1,1,8] has 3 digits.
[7,5,1] has 3 digits.
[1,1,8] + [7,5,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[1,1] + [7,5] , A=[9] , C=0 , 1+5+0=6 , A->6 , C->0
[1] + [7] , A=[6,9] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,6,9] C=0 , END
</scratch>
869
| 869 |
Input:
579+967
Target:
| Input:
579+967
Target:
<scratch>
[5,7,9] has 3 digits.
[9,6,7] has 3 digits.
[5,7,9] + [9,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[5,7] + [9,6] , A=[6] , C=1 , 7+6+1=14 , A->4 , C->1
[5] + [9] , A=[4,6] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,4,6] C=1 , END
</scratch>
1546
| 1546 |
Input:
742+250
Target:
| Input:
742+250
Target:
<scratch>
[7,4,2] has 3 digits.
[2,5,0] has 3 digits.
[7,4,2] + [2,5,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[7,4] + [2,5] , A=[2] , C=0 , 4+5+0=9 , A->9 , C->0
[7] + [2] , A=[9,2] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,2] C=0 , END
</scratch>
992
| 992 |
Input:
686+446
Target:
| Input:
686+446
Target:
<scratch>
[6,8,6] has 3 digits.
[4,4,6] has 3 digits.
[6,8,6] + [4,4,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[6,8] + [4,4] , A=[2] , C=1 , 8+4+1=13 , A->3 , C->1
[6] + [4] , A=[3,2] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,3,2] C=1 , END
</scratch>
1132
| 1132 |
Input:
346+240
Target:
| Input:
346+240
Target:
<scratch>
[3,4,6] has 3 digits.
[2,4,0] has 3 digits.
[3,4,6] + [2,4,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[3,4] + [2,4] , A=[6] , C=0 , 4+4+0=8 , A->8 , C->0
[3] + [2] , A=[8,6] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,8,6] C=0 , END
</scratch>
586
| 586 |
Input:
405+4
Target:
| Input:
405+4
Target:
<scratch>
[4,0,5] has 3 digits.
[4] has 1 digits.
[4,0,5] + [4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[4,0] + [] , A=[9] , C=0 , 0+0+0=0 , A->0 , C->0
[4] + [] , A=[0,9] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,0,9] C=0 , END
</scratch>
409
| 409 |
Input:
633+777
Target:
| Input:
633+777
Target:
<scratch>
[6,3,3] has 3 digits.
[7,7,7] has 3 digits.
[6,3,3] + [7,7,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[6,3] + [7,7] , A=[0] , C=1 , 3+7+1=11 , A->1 , C->1
[6] + [7] , A=[1,0] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,1,0] C=1 , END
</scratch>
1410
| 1410 |
Input:
416+141
Target:
| Input:
416+141
Target:
<scratch>
[4,1,6] has 3 digits.
[1,4,1] has 3 digits.
[4,1,6] + [1,4,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[4,1] + [1,4] , A=[7] , C=0 , 1+4+0=5 , A->5 , C->0
[4] + [1] , A=[5,7] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,5,7] C=0 , END
</scratch>
557
| 557 |
Input:
897+549
Target:
| Input:
897+549
Target:
<scratch>
[8,9,7] has 3 digits.
[5,4,9] has 3 digits.
[8,9,7] + [5,4,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[8,9] + [5,4] , A=[6] , C=1 , 9+4+1=14 , A->4 , C->1
[8] + [5] , A=[4,6] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,4,6] C=1 , END
</scratch>
1446
| 1446 |
Input:
998+372
Target:
| Input:
998+372
Target:
<scratch>
[9,9,8] has 3 digits.
[3,7,2] has 3 digits.
[9,9,8] + [3,7,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[9,9] + [3,7] , A=[0] , C=1 , 9+7+1=17 , A->7 , C->1
[9] + [3] , A=[7,0] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,7,0] C=1 , END
</scratch>
1370
| 1370 |
Input:
25+563
Target:
| Input:
25+563
Target:
<scratch>
[2,5] has 2 digits.
[5,6,3] has 3 digits.
[2,5] + [5,6,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[2] + [5,6] , A=[8] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [5] , A=[8,8] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,8,8] C=0 , END
</scratch>
588
| 588 |
Input:
732+212
Target:
| Input:
732+212
Target:
<scratch>
[7,3,2] has 3 digits.
[2,1,2] has 3 digits.
[7,3,2] + [2,1,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[7,3] + [2,1] , A=[4] , C=0 , 3+1+0=4 , A->4 , C->0
[7] + [2] , A=[4,4] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,4,4] C=0 , END
</scratch>
944
| 944 |
Input:
378+101
Target:
| Input:
378+101
Target:
<scratch>
[3,7,8] has 3 digits.
[1,0,1] has 3 digits.
[3,7,8] + [1,0,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[3,7] + [1,0] , A=[9] , C=0 , 7+0+0=7 , A->7 , C->0
[3] + [1] , A=[7,9] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,7,9] C=0 , END
</scratch>
479
| 479 |
Input:
52+726
Target:
| Input:
52+726
Target:
<scratch>
[5,2] has 2 digits.
[7,2,6] has 3 digits.
[5,2] + [7,2,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[5] + [7,2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [7] , A=[7,8] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,7,8] C=0 , END
</scratch>
778
| 778 |
Input:
588+749
Target:
| Input:
588+749
Target:
<scratch>
[5,8,8] has 3 digits.
[7,4,9] has 3 digits.
[5,8,8] + [7,4,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5,8] + [7,4] , A=[7] , C=1 , 8+4+1=13 , A->3 , C->1
[5] + [7] , A=[3,7] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,3,7] C=1 , END
</scratch>
1337
| 1337 |
Input:
430+536
Target:
| Input:
430+536
Target:
<scratch>
[4,3,0] has 3 digits.
[5,3,6] has 3 digits.
[4,3,0] + [5,3,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[4,3] + [5,3] , A=[6] , C=0 , 3+3+0=6 , A->6 , C->0
[4] + [5] , A=[6,6] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,6,6] C=0 , END
</scratch>
966
| 966 |
Input:
989+293
Target:
| Input:
989+293
Target:
<scratch>
[9,8,9] has 3 digits.
[2,9,3] has 3 digits.
[9,8,9] + [2,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[9,8] + [2,9] , A=[2] , C=1 , 8+9+1=18 , A->8 , C->1
[9] + [2] , A=[8,2] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,8,2] C=1 , END
</scratch>
1282
| 1282 |
Input:
858+289
Target:
| Input:
858+289
Target:
<scratch>
[8,5,8] has 3 digits.
[2,8,9] has 3 digits.
[8,5,8] + [2,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[8,5] + [2,8] , A=[7] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [2] , A=[4,7] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,4,7] C=1 , END
</scratch>
1147
| 1147 |
Input:
788+483
Target:
| Input:
788+483
Target:
<scratch>
[7,8,8] has 3 digits.
[4,8,3] has 3 digits.
[7,8,8] + [4,8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[7,8] + [4,8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[7] + [4] , A=[7,1] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,7,1] C=1 , END
</scratch>
1271
| 1271 |
Input:
11+61
Target:
| Input:
11+61
Target:
<scratch>
[1,1] has 2 digits.
[6,1] has 2 digits.
[1,1] + [6,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[1] + [6] , A=[2] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,2] C=0 , END
</scratch>
72
| 72 |
Input:
943+868
Target:
| Input:
943+868
Target:
<scratch>
[9,4,3] has 3 digits.
[8,6,8] has 3 digits.
[9,4,3] + [8,6,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[9,4] + [8,6] , A=[1] , C=1 , 4+6+1=11 , A->1 , C->1
[9] + [8] , A=[1,1] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,1,1] C=1 , END
</scratch>
1811
| 1811 |
Input:
512+181
Target:
| Input:
512+181
Target:
<scratch>
[5,1,2] has 3 digits.
[1,8,1] has 3 digits.
[5,1,2] + [1,8,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[5,1] + [1,8] , A=[3] , C=0 , 1+8+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:
386+716
Target:
| Input:
386+716
Target:
<scratch>
[3,8,6] has 3 digits.
[7,1,6] has 3 digits.
[3,8,6] + [7,1,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[3,8] + [7,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[3] + [7] , A=[0,2] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
78+421
Target:
| Input:
78+421
Target:
<scratch>
[7,8] has 2 digits.
[4,2,1] has 3 digits.
[7,8] + [4,2,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[7] + [4,2] , A=[9] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [4] , A=[9,9] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,9,9] C=0 , END
</scratch>
499
| 499 |
Input:
10+870
Target:
| Input:
10+870
Target:
<scratch>
[1,0] has 2 digits.
[8,7,0] has 3 digits.
[1,0] + [8,7,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1] + [8,7] , A=[0] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [8] , A=[8,0] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,8,0] C=0 , END
</scratch>
880
| 880 |
Input:
538+411
Target:
| Input:
538+411
Target:
<scratch>
[5,3,8] has 3 digits.
[4,1,1] has 3 digits.
[5,3,8] + [4,1,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[5,3] + [4,1] , A=[9] , C=0 , 3+1+0=4 , A->4 , C->0
[5] + [4] , A=[4,9] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,4,9] C=0 , END
</scratch>
949
| 949 |
Input:
30+303
Target:
| Input:
30+303
Target:
<scratch>
[3,0] has 2 digits.
[3,0,3] has 3 digits.
[3,0] + [3,0,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[3] + [3,0] , A=[3] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [3] , A=[3,3] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,3,3] C=0 , END
</scratch>
333
| 333 |
Input:
225+31
Target:
| Input:
225+31
Target:
<scratch>
[2,2,5] has 3 digits.
[3,1] has 2 digits.
[2,2,5] + [3,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[2,2] + [3] , A=[6] , C=0 , 2+3+0=5 , A->5 , C->0
[2] + [] , A=[5,6] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,5,6] C=0 , END
</scratch>
256
| 256 |
Input:
437+151
Target:
| Input:
437+151
Target:
<scratch>
[4,3,7] has 3 digits.
[1,5,1] has 3 digits.
[4,3,7] + [1,5,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[4,3] + [1,5] , A=[8] , C=0 , 3+5+0=8 , A->8 , C->0
[4] + [1] , A=[8,8] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,8,8] C=0 , END
</scratch>
588
| 588 |
Input:
210+265
Target:
| Input:
210+265
Target:
<scratch>
[2,1,0] has 3 digits.
[2,6,5] has 3 digits.
[2,1,0] + [2,6,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[2,1] + [2,6] , A=[5] , C=0 , 1+6+0=7 , A->7 , C->0
[2] + [2] , A=[7,5] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,7,5] C=0 , END
</scratch>
475
| 475 |
Input:
964+159
Target:
| Input:
964+159
Target:
<scratch>
[9,6,4] has 3 digits.
[1,5,9] has 3 digits.
[9,6,4] + [1,5,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[9,6] + [1,5] , A=[3] , C=1 , 6+5+1=12 , A->2 , C->1
[9] + [1] , A=[2,3] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,2,3] C=1 , END
</scratch>
1123
| 1123 |
Input:
638+665
Target:
| Input:
638+665
Target:
<scratch>
[6,3,8] has 3 digits.
[6,6,5] has 3 digits.
[6,3,8] + [6,6,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[6,3] + [6,6] , A=[3] , C=1 , 3+6+1=10 , A->0 , C->1
[6] + [6] , A=[0,3] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,0,3] C=1 , END
</scratch>
1303
| 1303 |
Input:
641+14
Target:
| Input:
641+14
Target:
<scratch>
[6,4,1] has 3 digits.
[1,4] has 2 digits.
[6,4,1] + [1,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[6,4] + [1] , A=[5] , C=0 , 4+1+0=5 , A->5 , C->0
[6] + [] , A=[5,5] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,5,5] C=0 , END
</scratch>
655
| 655 |
Input:
628+321
Target:
| Input:
628+321
Target:
<scratch>
[6,2,8] has 3 digits.
[3,2,1] has 3 digits.
[6,2,8] + [3,2,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[6,2] + [3,2] , A=[9] , C=0 , 2+2+0=4 , A->4 , C->0
[6] + [3] , A=[4,9] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,4,9] C=0 , END
</scratch>
949
| 949 |
Input:
316+985
Target:
| Input:
316+985
Target:
<scratch>
[3,1,6] has 3 digits.
[9,8,5] has 3 digits.
[3,1,6] + [9,8,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3,1] + [9,8] , A=[1] , C=1 , 1+8+1=10 , A->0 , C->1
[3] + [9] , A=[0,1] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,1] C=1 , END
</scratch>
1301
| 1301 |
Input:
651+202
Target:
| Input:
651+202
Target:
<scratch>
[6,5,1] has 3 digits.
[2,0,2] has 3 digits.
[6,5,1] + [2,0,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[6,5] + [2,0] , A=[3] , C=0 , 5+0+0=5 , A->5 , C->0
[6] + [2] , A=[5,3] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,5,3] C=0 , END
</scratch>
853
| 853 |
Input:
706+495
Target:
| Input:
706+495
Target:
<scratch>
[7,0,6] has 3 digits.
[4,9,5] has 3 digits.
[7,0,6] + [4,9,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[7,0] + [4,9] , A=[1] , C=1 , 0+9+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:
908+199
Target:
| Input:
908+199
Target:
<scratch>
[9,0,8] has 3 digits.
[1,9,9] has 3 digits.
[9,0,8] + [1,9,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,0] + [1,9] , A=[7] , C=1 , 0+9+1=10 , A->0 , C->1
[9] + [1] , A=[0,7] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,0,7] C=1 , END
</scratch>
1107
| 1107 |
Input:
975+267
Target:
| Input:
975+267
Target:
<scratch>
[9,7,5] has 3 digits.
[2,6,7] has 3 digits.
[9,7,5] + [2,6,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,7] + [2,6] , A=[2] , C=1 , 7+6+1=14 , A->4 , C->1
[9] + [2] , A=[4,2] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,4,2] C=1 , END
</scratch>
1242
| 1242 |
Input:
46+931
Target:
| Input:
46+931
Target:
<scratch>
[4,6] has 2 digits.
[9,3,1] has 3 digits.
[4,6] + [9,3,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[4] + [9,3] , A=[7] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [9] , A=[7,7] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,7,7] C=0 , END
</scratch>
977
| 977 |
Input:
514+434
Target:
| Input:
514+434
Target:
<scratch>
[5,1,4] has 3 digits.
[4,3,4] has 3 digits.
[5,1,4] + [4,3,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[5,1] + [4,3] , A=[8] , C=0 , 1+3+0=4 , A->4 , C->0
[5] + [4] , A=[4,8] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,4,8] C=0 , END
</scratch>
948
| 948 |
Input:
342+400
Target:
| Input:
342+400
Target:
<scratch>
[3,4,2] has 3 digits.
[4,0,0] has 3 digits.
[3,4,2] + [4,0,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[3,4] + [4,0] , A=[2] , C=0 , 4+0+0=4 , A->4 , C->0
[3] + [4] , A=[4,2] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,4,2] C=0 , END
</scratch>
742
| 742 |
Input:
235+452
Target:
| Input:
235+452
Target:
<scratch>
[2,3,5] has 3 digits.
[4,5,2] has 3 digits.
[2,3,5] + [4,5,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[2,3] + [4,5] , A=[7] , C=0 , 3+5+0=8 , A->8 , C->0
[2] + [4] , A=[8,7] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,8,7] C=0 , END
</scratch>
687
| 687 |
Input:
879+279
Target:
| Input:
879+279
Target:
<scratch>
[8,7,9] has 3 digits.
[2,7,9] has 3 digits.
[8,7,9] + [2,7,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[8,7] + [2,7] , A=[8] , C=1 , 7+7+1=15 , A->5 , C->1
[8] + [2] , A=[5,8] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,5,8] C=1 , END
</scratch>
1158
| 1158 |
Input:
576+526
Target:
| Input:
576+526
Target:
<scratch>
[5,7,6] has 3 digits.
[5,2,6] has 3 digits.
[5,7,6] + [5,2,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[5,7] + [5,2] , A=[2] , C=1 , 7+2+1=10 , A->0 , C->1
[5] + [5] , A=[0,2] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,0,2] C=1 , END
</scratch>
1102
| 1102 |
Input:
213+413
Target:
| Input:
213+413
Target:
<scratch>
[2,1,3] has 3 digits.
[4,1,3] has 3 digits.
[2,1,3] + [4,1,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[2,1] + [4,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[2] + [4] , A=[2,6] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,2,6] C=0 , END
</scratch>
626
| 626 |
Input:
20+29
Target:
| Input:
20+29
Target:
<scratch>
[2,0] has 2 digits.
[2,9] has 2 digits.
[2,0] + [2,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[2] + [2] , A=[9] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,9] C=0 , END
</scratch>
49
| 49 |
Input:
430+116
Target:
| Input:
430+116
Target:
<scratch>
[4,3,0] has 3 digits.
[1,1,6] has 3 digits.
[4,3,0] + [1,1,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[4,3] + [1,1] , A=[6] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [1] , A=[4,6] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,4,6] C=0 , END
</scratch>
546
| 546 |
Input:
889+523
Target:
| Input:
889+523
Target:
<scratch>
[8,8,9] has 3 digits.
[5,2,3] has 3 digits.
[8,8,9] + [5,2,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[8,8] + [5,2] , A=[2] , C=1 , 8+2+1=11 , A->1 , C->1
[8] + [5] , A=[1,2] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,1,2] C=1 , END
</scratch>
1412
| 1412 |
Input:
818+585
Target:
| Input:
818+585
Target:
<scratch>
[8,1,8] has 3 digits.
[5,8,5] has 3 digits.
[8,1,8] + [5,8,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[8,1] + [5,8] , A=[3] , C=1 , 1+8+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:
345+543
Target:
| Input:
345+543
Target:
<scratch>
[3,4,5] has 3 digits.
[5,4,3] has 3 digits.
[3,4,5] + [5,4,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[3,4] + [5,4] , A=[8] , C=0 , 4+4+0=8 , A->8 , C->0
[3] + [5] , A=[8,8] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,8,8] C=0 , END
</scratch>
888
| 888 |
Input:
75+989
Target:
| Input:
75+989
Target:
<scratch>
[7,5] has 2 digits.
[9,8,9] has 3 digits.
[7,5] + [9,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7] + [9,8] , A=[4] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [9] , A=[6,4] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,6,4] C=1 , END
</scratch>
1064
| 1064 |
Input:
946+279
Target:
| Input:
946+279
Target:
<scratch>
[9,4,6] has 3 digits.
[2,7,9] has 3 digits.
[9,4,6] + [2,7,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,4] + [2,7] , A=[5] , C=1 , 4+7+1=12 , A->2 , C->1
[9] + [2] , A=[2,5] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,2,5] C=1 , END
</scratch>
1225
| 1225 |
Input:
131+655
Target:
| Input:
131+655
Target:
<scratch>
[1,3,1] has 3 digits.
[6,5,5] has 3 digits.
[1,3,1] + [6,5,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[1,3] + [6,5] , A=[6] , C=0 , 3+5+0=8 , A->8 , C->0
[1] + [6] , A=[8,6] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,6] C=0 , END
</scratch>
786
| 786 |
Input:
12+484
Target:
| Input:
12+484
Target:
<scratch>
[1,2] has 2 digits.
[4,8,4] has 3 digits.
[1,2] + [4,8,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [4,8] , A=[6] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [4] , A=[9,6] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,9,6] C=0 , END
</scratch>
496
| 496 |
Input:
435+130
Target:
| Input:
435+130
Target:
<scratch>
[4,3,5] has 3 digits.
[1,3,0] has 3 digits.
[4,3,5] + [1,3,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[4,3] + [1,3] , A=[5] , C=0 , 3+3+0=6 , A->6 , C->0
[4] + [1] , A=[6,5] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,6,5] C=0 , END
</scratch>
565
| 565 |
Input:
999+48
Target:
| Input:
999+48
Target:
<scratch>
[9,9,9] has 3 digits.
[4,8] has 2 digits.
[9,9,9] + [4,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[9,9] + [4] , A=[7] , C=1 , 9+4+1=14 , A->4 , C->1
[9] + [] , A=[4,7] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,4,7] C=1 , END
</scratch>
1047
| 1047 |
Input:
61+230
Target:
| Input:
61+230
Target:
<scratch>
[6,1] has 2 digits.
[2,3,0] has 3 digits.
[6,1] + [2,3,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[6] + [2,3] , A=[1] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [2] , A=[9,1] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,9,1] C=0 , END
</scratch>
291
| 291 |
Input:
395+667
Target:
| Input:
395+667
Target:
<scratch>
[3,9,5] has 3 digits.
[6,6,7] has 3 digits.
[3,9,5] + [6,6,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[3,9] + [6,6] , A=[2] , C=1 , 9+6+1=16 , A->6 , C->1
[3] + [6] , A=[6,2] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,6,2] C=1 , END
</scratch>
1062
| 1062 |
Input:
449+558
Target:
| Input:
449+558
Target:
<scratch>
[4,4,9] has 3 digits.
[5,5,8] has 3 digits.
[4,4,9] + [5,5,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[4,4] + [5,5] , A=[7] , C=1 , 4+5+1=10 , A->0 , C->1
[4] + [5] , A=[0,7] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,0,7] C=1 , END
</scratch>
1007
| 1007 |
Input:
106+321
Target:
| Input:
106+321
Target:
<scratch>
[1,0,6] has 3 digits.
[3,2,1] has 3 digits.
[1,0,6] + [3,2,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[1,0] + [3,2] , A=[7] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [3] , A=[2,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,2,7] C=0 , END
</scratch>
427
| 427 |
Subsets and Splits