input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
223+47
Target:
| Input:
223+47
Target:
<scratch>
[2,2,3] has 3 digits.
[4,7] has 2 digits.
[2,2,3] + [4,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[2,2] + [4] , A=[0] , C=1 , 2+4+1=7 , A->7 , C->0
[2] + [] , A=[7,0] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [] , A=[2,7,0] C=0 , END
</scratch>
270
| 270 |
Input:
564+366
Target:
| Input:
564+366
Target:
<scratch>
[5,6,4] has 3 digits.
[3,6,6] has 3 digits.
[5,6,4] + [3,6,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[5,6] + [3,6] , A=[0] , C=1 , 6+6+1=13 , A->3 , C->1
[5] + [3] , A=[3,0] , C=1 , 5+3+1=9 , A->9 , C->0
[] + [] , A=[9,3,0] C=0 , END
</scratch>
930
| 930 |
Input:
671+395
Target:
| Input:
671+395
Target:
<scratch>
[6,7,1] has 3 digits.
[3,9,5] has 3 digits.
[6,7,1] + [3,9,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[6,7] + [3,9] , A=[6] , C=0 , 7+9+0=16 , A->6 , C->1
[6] + [3] , A=[6,6] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,6,6] C=1 , END
</scratch>
1066
| 1066 |
Input:
510+778
Target:
| Input:
510+778
Target:
<scratch>
[5,1,0] has 3 digits.
[7,7,8] has 3 digits.
[5,1,0] + [7,7,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,1] + [7,7] , A=[8] , C=0 , 1+7+0=8 , A->8 , C->0
[5] + [7] , A=[8,8] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,8,8] C=1 , END
</scratch>
1288
| 1288 |
Input:
725+269
Target:
| Input:
725+269
Target:
<scratch>
[7,2,5] has 3 digits.
[2,6,9] has 3 digits.
[7,2,5] + [2,6,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[7,2] + [2,6] , A=[4] , C=1 , 2+6+1=9 , A->9 , C->0
[7] + [2] , A=[9,4] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [] , A=[9,9,4] C=0 , END
</scratch>
994
| 994 |
Input:
315+303
Target:
| Input:
315+303
Target:
<scratch>
[3,1,5] has 3 digits.
[3,0,3] has 3 digits.
[3,1,5] + [3,0,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[3,1] + [3,0] , A=[8] , C=0 , 1+0+0=1 , A->1 , C->0
[3] + [3] , A=[1,8] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,1,8] C=0 , END
</scratch>
618
| 618 |
Input:
593+55
Target:
| Input:
593+55
Target:
<scratch>
[5,9,3] has 3 digits.
[5,5] has 2 digits.
[5,9,3] + [5,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[5,9] + [5] , A=[8] , C=0 , 9+5+0=14 , A->4 , C->1
[5] + [] , A=[4,8] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,4,8] C=0 , END
</scratch>
648
| 648 |
Input:
669+369
Target:
| Input:
669+369
Target:
<scratch>
[6,6,9] has 3 digits.
[3,6,9] has 3 digits.
[6,6,9] + [3,6,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[6,6] + [3,6] , A=[8] , C=1 , 6+6+1=13 , A->3 , C->1
[6] + [3] , A=[3,8] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,3,8] C=1 , END
</scratch>
1038
| 1038 |
Input:
637+91
Target:
| Input:
637+91
Target:
<scratch>
[6,3,7] has 3 digits.
[9,1] has 2 digits.
[6,3,7] + [9,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[6,3] + [9] , A=[8] , C=0 , 3+9+0=12 , A->2 , C->1
[6] + [] , A=[2,8] , C=1 , 6+0+1=7 , A->7 , C->0
[] + [] , A=[7,2,8] C=0 , END
</scratch>
728
| 728 |
Input:
860+683
Target:
| Input:
860+683
Target:
<scratch>
[8,6,0] has 3 digits.
[6,8,3] has 3 digits.
[8,6,0] + [6,8,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[8,6] + [6,8] , A=[3] , C=0 , 6+8+0=14 , A->4 , C->1
[8] + [6] , A=[4,3] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,4,3] C=1 , END
</scratch>
1543
| 1543 |
Input:
193+133
Target:
| Input:
193+133
Target:
<scratch>
[1,9,3] has 3 digits.
[1,3,3] has 3 digits.
[1,9,3] + [1,3,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,9] + [1,3] , A=[6] , C=0 , 9+3+0=12 , A->2 , C->1
[1] + [1] , A=[2,6] , C=1 , 1+1+1=3 , A->3 , C->0
[] + [] , A=[3,2,6] C=0 , END
</scratch>
326
| 326 |
Input:
472+245
Target:
| Input:
472+245
Target:
<scratch>
[4,7,2] has 3 digits.
[2,4,5] has 3 digits.
[4,7,2] + [2,4,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[4,7] + [2,4] , A=[7] , C=0 , 7+4+0=11 , A->1 , C->1
[4] + [2] , A=[1,7] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,1,7] C=0 , END
</scratch>
717
| 717 |
Input:
748+65
Target:
| Input:
748+65
Target:
<scratch>
[7,4,8] has 3 digits.
[6,5] has 2 digits.
[7,4,8] + [6,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[7,4] + [6] , A=[3] , C=1 , 4+6+1=11 , A->1 , C->1
[7] + [] , A=[1,3] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,1,3] C=0 , END
</scratch>
813
| 813 |
Input:
80+431
Target:
| Input:
80+431
Target:
<scratch>
[8,0] has 2 digits.
[4,3,1] has 3 digits.
[8,0] + [4,3,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[8] + [4,3] , A=[1] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [4] , A=[1,1] , C=1 , 0+4+1=5 , A->5 , C->0
[] + [] , A=[5,1,1] C=0 , END
</scratch>
511
| 511 |
Input:
384+440
Target:
| Input:
384+440
Target:
<scratch>
[3,8,4] has 3 digits.
[4,4,0] has 3 digits.
[3,8,4] + [4,4,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[3,8] + [4,4] , A=[4] , C=0 , 8+4+0=12 , A->2 , C->1
[3] + [4] , A=[2,4] , C=1 , 3+4+1=8 , A->8 , C->0
[] + [] , A=[8,2,4] C=0 , END
</scratch>
824
| 824 |
Input:
688+418
Target:
| Input:
688+418
Target:
<scratch>
[6,8,8] has 3 digits.
[4,1,8] has 3 digits.
[6,8,8] + [4,1,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[6,8] + [4,1] , A=[6] , C=1 , 8+1+1=10 , A->0 , C->1
[6] + [4] , A=[0,6] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
752+567
Target:
| Input:
752+567
Target:
<scratch>
[7,5,2] has 3 digits.
[5,6,7] has 3 digits.
[7,5,2] + [5,6,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[7,5] + [5,6] , A=[9] , C=0 , 5+6+0=11 , A->1 , C->1
[7] + [5] , A=[1,9] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,9] C=1 , END
</scratch>
1319
| 1319 |
Input:
151+628
Target:
| Input:
151+628
Target:
<scratch>
[1,5,1] has 3 digits.
[6,2,8] has 3 digits.
[1,5,1] + [6,2,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[1,5] + [6,2] , A=[9] , C=0 , 5+2+0=7 , A->7 , C->0
[1] + [6] , A=[7,9] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,7,9] C=0 , END
</scratch>
779
| 779 |
Input:
949+643
Target:
| Input:
949+643
Target:
<scratch>
[9,4,9] has 3 digits.
[6,4,3] has 3 digits.
[9,4,9] + [6,4,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[9,4] + [6,4] , A=[2] , C=1 , 4+4+1=9 , A->9 , C->0
[9] + [6] , A=[9,2] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [] , A=[5,9,2] C=1 , END
</scratch>
1592
| 1592 |
Input:
854+824
Target:
| Input:
854+824
Target:
<scratch>
[8,5,4] has 3 digits.
[8,2,4] has 3 digits.
[8,5,4] + [8,2,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[8,5] + [8,2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[8] + [8] , A=[7,8] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,7,8] C=1 , END
</scratch>
1678
| 1678 |
Input:
407+149
Target:
| Input:
407+149
Target:
<scratch>
[4,0,7] has 3 digits.
[1,4,9] has 3 digits.
[4,0,7] + [1,4,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[4,0] + [1,4] , A=[6] , C=1 , 0+4+1=5 , A->5 , C->0
[4] + [1] , A=[5,6] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,5,6] C=0 , END
</scratch>
556
| 556 |
Input:
705+145
Target:
| Input:
705+145
Target:
<scratch>
[7,0,5] has 3 digits.
[1,4,5] has 3 digits.
[7,0,5] + [1,4,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[7,0] + [1,4] , A=[0] , C=1 , 0+4+1=5 , A->5 , C->0
[7] + [1] , A=[5,0] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,5,0] C=0 , END
</scratch>
850
| 850 |
Input:
931+353
Target:
| Input:
931+353
Target:
<scratch>
[9,3,1] has 3 digits.
[3,5,3] has 3 digits.
[9,3,1] + [3,5,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[9,3] + [3,5] , A=[4] , C=0 , 3+5+0=8 , A->8 , C->0
[9] + [3] , A=[8,4] , C=0 , 9+3+0=12 , A->2 , C->1
[] + [] , A=[2,8,4] C=1 , END
</scratch>
1284
| 1284 |
Input:
187+226
Target:
| Input:
187+226
Target:
<scratch>
[1,8,7] has 3 digits.
[2,2,6] has 3 digits.
[1,8,7] + [2,2,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[1,8] + [2,2] , A=[3] , C=1 , 8+2+1=11 , A->1 , C->1
[1] + [2] , A=[1,3] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [] , A=[4,1,3] C=0 , END
</scratch>
413
| 413 |
Input:
959+434
Target:
| Input:
959+434
Target:
<scratch>
[9,5,9] has 3 digits.
[4,3,4] has 3 digits.
[9,5,9] + [4,3,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[9,5] + [4,3] , A=[3] , C=1 , 5+3+1=9 , A->9 , C->0
[9] + [4] , A=[9,3] , C=0 , 9+4+0=13 , A->3 , C->1
[] + [] , A=[3,9,3] C=1 , END
</scratch>
1393
| 1393 |
Input:
754+191
Target:
| Input:
754+191
Target:
<scratch>
[7,5,4] has 3 digits.
[1,9,1] has 3 digits.
[7,5,4] + [1,9,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[7,5] + [1,9] , A=[5] , C=0 , 5+9+0=14 , A->4 , C->1
[7] + [1] , A=[4,5] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,4,5] C=0 , END
</scratch>
945
| 945 |
Input:
713+673
Target:
| Input:
713+673
Target:
<scratch>
[7,1,3] has 3 digits.
[6,7,3] has 3 digits.
[7,1,3] + [6,7,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[7,1] + [6,7] , A=[6] , C=0 , 1+7+0=8 , A->8 , C->0
[7] + [6] , A=[8,6] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,8,6] C=1 , END
</scratch>
1386
| 1386 |
Input:
959+835
Target:
| Input:
959+835
Target:
<scratch>
[9,5,9] has 3 digits.
[8,3,5] has 3 digits.
[9,5,9] + [8,3,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[9,5] + [8,3] , A=[4] , C=1 , 5+3+1=9 , A->9 , C->0
[9] + [8] , A=[9,4] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [] , A=[7,9,4] C=1 , END
</scratch>
1794
| 1794 |
Input:
125+615
Target:
| Input:
125+615
Target:
<scratch>
[1,2,5] has 3 digits.
[6,1,5] has 3 digits.
[1,2,5] + [6,1,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[1,2] + [6,1] , A=[0] , C=1 , 2+1+1=4 , A->4 , C->0
[1] + [6] , A=[4,0] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,4,0] C=0 , END
</scratch>
740
| 740 |
Input:
322+517
Target:
| Input:
322+517
Target:
<scratch>
[3,2,2] has 3 digits.
[5,1,7] has 3 digits.
[3,2,2] + [5,1,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[3,2] + [5,1] , A=[9] , C=0 , 2+1+0=3 , A->3 , C->0
[3] + [5] , A=[3,9] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,3,9] C=0 , END
</scratch>
839
| 839 |
Input:
977+213
Target:
| Input:
977+213
Target:
<scratch>
[9,7,7] has 3 digits.
[2,1,3] has 3 digits.
[9,7,7] + [2,1,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,7] + [2,1] , A=[0] , C=1 , 7+1+1=9 , A->9 , C->0
[9] + [2] , A=[9,0] , C=0 , 9+2+0=11 , A->1 , C->1
[] + [] , A=[1,9,0] C=1 , END
</scratch>
1190
| 1190 |
Input:
688+21
Target:
| Input:
688+21
Target:
<scratch>
[6,8,8] has 3 digits.
[2,1] has 2 digits.
[6,8,8] + [2,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[6,8] + [2] , A=[9] , C=0 , 8+2+0=10 , A->0 , C->1
[6] + [] , A=[0,9] , C=1 , 6+0+1=7 , A->7 , C->0
[] + [] , A=[7,0,9] C=0 , END
</scratch>
709
| 709 |
Input:
108+668
Target:
| Input:
108+668
Target:
<scratch>
[1,0,8] has 3 digits.
[6,6,8] has 3 digits.
[1,0,8] + [6,6,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[1,0] + [6,6] , A=[6] , C=1 , 0+6+1=7 , A->7 , C->0
[1] + [6] , A=[7,6] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,7,6] C=0 , END
</scratch>
776
| 776 |
Input:
800+753
Target:
| Input:
800+753
Target:
<scratch>
[8,0,0] has 3 digits.
[7,5,3] has 3 digits.
[8,0,0] + [7,5,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[8,0] + [7,5] , A=[3] , C=0 , 0+5+0=5 , A->5 , C->0
[8] + [7] , A=[5,3] , C=0 , 8+7+0=15 , A->5 , C->1
[] + [] , A=[5,5,3] C=1 , END
</scratch>
1553
| 1553 |
Input:
790+57
Target:
| Input:
790+57
Target:
<scratch>
[7,9,0] has 3 digits.
[5,7] has 2 digits.
[7,9,0] + [5,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[7,9] + [5] , A=[7] , C=0 , 9+5+0=14 , A->4 , C->1
[7] + [] , A=[4,7] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,4,7] C=0 , END
</scratch>
847
| 847 |
Input:
264+199
Target:
| Input:
264+199
Target:
<scratch>
[2,6,4] has 3 digits.
[1,9,9] has 3 digits.
[2,6,4] + [1,9,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[2,6] + [1,9] , A=[3] , C=1 , 6+9+1=16 , A->6 , C->1
[2] + [1] , A=[6,3] , C=1 , 2+1+1=4 , A->4 , C->0
[] + [] , A=[4,6,3] C=0 , END
</scratch>
463
| 463 |
Input:
819+936
Target:
| Input:
819+936
Target:
<scratch>
[8,1,9] has 3 digits.
[9,3,6] has 3 digits.
[8,1,9] + [9,3,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[8,1] + [9,3] , A=[5] , C=1 , 1+3+1=5 , A->5 , C->0
[8] + [9] , A=[5,5] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,5,5] C=1 , END
</scratch>
1755
| 1755 |
Input:
476+451
Target:
| Input:
476+451
Target:
<scratch>
[4,7,6] has 3 digits.
[4,5,1] has 3 digits.
[4,7,6] + [4,5,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[4,7] + [4,5] , A=[7] , C=0 , 7+5+0=12 , A->2 , C->1
[4] + [4] , A=[2,7] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,2,7] C=0 , END
</scratch>
927
| 927 |
Input:
788+321
Target:
| Input:
788+321
Target:
<scratch>
[7,8,8] has 3 digits.
[3,2,1] has 3 digits.
[7,8,8] + [3,2,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[7,8] + [3,2] , A=[9] , C=0 , 8+2+0=10 , A->0 , C->1
[7] + [3] , A=[0,9] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,0,9] C=1 , END
</scratch>
1109
| 1109 |
Input:
71+165
Target:
| Input:
71+165
Target:
<scratch>
[7,1] has 2 digits.
[1,6,5] has 3 digits.
[7,1] + [1,6,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[7] + [1,6] , A=[6] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [1] , A=[3,6] , C=1 , 0+1+1=2 , A->2 , C->0
[] + [] , A=[2,3,6] C=0 , END
</scratch>
236
| 236 |
Input:
662+582
Target:
| Input:
662+582
Target:
<scratch>
[6,6,2] has 3 digits.
[5,8,2] has 3 digits.
[6,6,2] + [5,8,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[6,6] + [5,8] , A=[4] , C=0 , 6+8+0=14 , A->4 , C->1
[6] + [5] , A=[4,4] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,4,4] C=1 , END
</scratch>
1244
| 1244 |
Input:
841+890
Target:
| Input:
841+890
Target:
<scratch>
[8,4,1] has 3 digits.
[8,9,0] has 3 digits.
[8,4,1] + [8,9,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[8,4] + [8,9] , A=[1] , C=0 , 4+9+0=13 , A->3 , C->1
[8] + [8] , A=[3,1] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,3,1] C=1 , END
</scratch>
1731
| 1731 |
Input:
584+669
Target:
| Input:
584+669
Target:
<scratch>
[5,8,4] has 3 digits.
[6,6,9] has 3 digits.
[5,8,4] + [6,6,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[5,8] + [6,6] , A=[3] , C=1 , 8+6+1=15 , A->5 , C->1
[5] + [6] , A=[5,3] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,5,3] C=1 , END
</scratch>
1253
| 1253 |
Input:
599+32
Target:
| Input:
599+32
Target:
<scratch>
[5,9,9] has 3 digits.
[3,2] has 2 digits.
[5,9,9] + [3,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,9] + [3] , A=[1] , C=1 , 9+3+1=13 , A->3 , C->1
[5] + [] , A=[3,1] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,3,1] C=0 , END
</scratch>
631
| 631 |
Input:
843+812
Target:
| Input:
843+812
Target:
<scratch>
[8,4,3] has 3 digits.
[8,1,2] has 3 digits.
[8,4,3] + [8,1,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[8,4] + [8,1] , A=[5] , C=0 , 4+1+0=5 , A->5 , C->0
[8] + [8] , A=[5,5] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,5,5] C=1 , END
</scratch>
1655
| 1655 |
Input:
523+204
Target:
| Input:
523+204
Target:
<scratch>
[5,2,3] has 3 digits.
[2,0,4] has 3 digits.
[5,2,3] + [2,0,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,2] + [2,0] , A=[7] , C=0 , 2+0+0=2 , A->2 , C->0
[5] + [2] , A=[2,7] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,2,7] C=0 , END
</scratch>
727
| 727 |
Input:
596+962
Target:
| Input:
596+962
Target:
<scratch>
[5,9,6] has 3 digits.
[9,6,2] has 3 digits.
[5,9,6] + [9,6,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[5,9] + [9,6] , A=[8] , C=0 , 9+6+0=15 , A->5 , C->1
[5] + [9] , A=[5,8] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,5,8] C=1 , END
</scratch>
1558
| 1558 |
Input:
116+299
Target:
| Input:
116+299
Target:
<scratch>
[1,1,6] has 3 digits.
[2,9,9] has 3 digits.
[1,1,6] + [2,9,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[1,1] + [2,9] , A=[5] , C=1 , 1+9+1=11 , A->1 , C->1
[1] + [2] , A=[1,5] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [] , A=[4,1,5] C=0 , END
</scratch>
415
| 415 |
Input:
760+71
Target:
| Input:
760+71
Target:
<scratch>
[7,6,0] has 3 digits.
[7,1] has 2 digits.
[7,6,0] + [7,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[7,6] + [7] , A=[1] , C=0 , 6+7+0=13 , A->3 , C->1
[7] + [] , A=[3,1] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,3,1] C=0 , END
</scratch>
831
| 831 |
Input:
355+877
Target:
| Input:
355+877
Target:
<scratch>
[3,5,5] has 3 digits.
[8,7,7] has 3 digits.
[3,5,5] + [8,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[3,5] + [8,7] , A=[2] , C=1 , 5+7+1=13 , A->3 , C->1
[3] + [8] , A=[3,2] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,3,2] C=1 , END
</scratch>
1232
| 1232 |
Input:
926+173
Target:
| Input:
926+173
Target:
<scratch>
[9,2,6] has 3 digits.
[1,7,3] has 3 digits.
[9,2,6] + [1,7,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[9,2] + [1,7] , A=[9] , C=0 , 2+7+0=9 , A->9 , C->0
[9] + [1] , A=[9,9] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,9,9] C=1 , END
</scratch>
1099
| 1099 |
Input:
879+400
Target:
| Input:
879+400
Target:
<scratch>
[8,7,9] has 3 digits.
[4,0,0] has 3 digits.
[8,7,9] + [4,0,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[8,7] + [4,0] , A=[9] , C=0 , 7+0+0=7 , A->7 , C->0
[8] + [4] , A=[7,9] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,7,9] C=1 , END
</scratch>
1279
| 1279 |
Input:
647+81
Target:
| Input:
647+81
Target:
<scratch>
[6,4,7] has 3 digits.
[8,1] has 2 digits.
[6,4,7] + [8,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[6,4] + [8] , A=[8] , C=0 , 4+8+0=12 , A->2 , C->1
[6] + [] , A=[2,8] , C=1 , 6+0+1=7 , A->7 , C->0
[] + [] , A=[7,2,8] C=0 , END
</scratch>
728
| 728 |
Input:
292+267
Target:
| Input:
292+267
Target:
<scratch>
[2,9,2] has 3 digits.
[2,6,7] has 3 digits.
[2,9,2] + [2,6,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[2,9] + [2,6] , A=[9] , C=0 , 9+6+0=15 , A->5 , C->1
[2] + [2] , A=[5,9] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,5,9] C=0 , END
</scratch>
559
| 559 |
Input:
754+453
Target:
| Input:
754+453
Target:
<scratch>
[7,5,4] has 3 digits.
[4,5,3] has 3 digits.
[7,5,4] + [4,5,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[7,5] + [4,5] , A=[7] , C=0 , 5+5+0=10 , A->0 , C->1
[7] + [4] , A=[0,7] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,0,7] C=1 , END
</scratch>
1207
| 1207 |
Input:
371+461
Target:
| Input:
371+461
Target:
<scratch>
[3,7,1] has 3 digits.
[4,6,1] has 3 digits.
[3,7,1] + [4,6,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[3,7] + [4,6] , A=[2] , C=0 , 7+6+0=13 , A->3 , C->1
[3] + [4] , A=[3,2] , C=1 , 3+4+1=8 , A->8 , C->0
[] + [] , A=[8,3,2] C=0 , END
</scratch>
832
| 832 |
Input:
927+745
Target:
| Input:
927+745
Target:
<scratch>
[9,2,7] has 3 digits.
[7,4,5] has 3 digits.
[9,2,7] + [7,4,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[9,2] + [7,4] , A=[2] , C=1 , 2+4+1=7 , A->7 , C->0
[9] + [7] , A=[7,2] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,7,2] C=1 , END
</scratch>
1672
| 1672 |
Input:
578+424
Target:
| Input:
578+424
Target:
<scratch>
[5,7,8] has 3 digits.
[4,2,4] has 3 digits.
[5,7,8] + [4,2,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[5,7] + [4,2] , A=[2] , C=1 , 7+2+1=10 , A->0 , C->1
[5] + [4] , A=[0,2] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
153+114
Target:
| Input:
153+114
Target:
<scratch>
[1,5,3] has 3 digits.
[1,1,4] has 3 digits.
[1,5,3] + [1,1,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,5] + [1,1] , A=[7] , C=0 , 5+1+0=6 , A->6 , C->0
[1] + [1] , A=[6,7] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,6,7] C=0 , END
</scratch>
267
| 267 |
Input:
497+796
Target:
| Input:
497+796
Target:
<scratch>
[4,9,7] has 3 digits.
[7,9,6] has 3 digits.
[4,9,7] + [7,9,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[4,9] + [7,9] , A=[3] , C=1 , 9+9+1=19 , A->9 , C->1
[4] + [7] , A=[9,3] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,9,3] C=1 , END
</scratch>
1293
| 1293 |
Input:
835+641
Target:
| Input:
835+641
Target:
<scratch>
[8,3,5] has 3 digits.
[6,4,1] has 3 digits.
[8,3,5] + [6,4,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[8,3] + [6,4] , A=[6] , C=0 , 3+4+0=7 , A->7 , C->0
[8] + [6] , A=[7,6] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,7,6] C=1 , END
</scratch>
1476
| 1476 |
Input:
824+6
Target:
| Input:
824+6
Target:
<scratch>
[8,2,4] has 3 digits.
[6] has 1 digits.
[8,2,4] + [6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[8,2] + [] , A=[0] , C=1 , 2+0+1=3 , A->3 , C->0
[8] + [] , A=[3,0] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,3,0] C=0 , END
</scratch>
830
| 830 |
Input:
284+229
Target:
| Input:
284+229
Target:
<scratch>
[2,8,4] has 3 digits.
[2,2,9] has 3 digits.
[2,8,4] + [2,2,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[2,8] + [2,2] , A=[3] , C=1 , 8+2+1=11 , A->1 , C->1
[2] + [2] , A=[1,3] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,1,3] C=0 , END
</scratch>
513
| 513 |
Input:
120+604
Target:
| Input:
120+604
Target:
<scratch>
[1,2,0] has 3 digits.
[6,0,4] has 3 digits.
[1,2,0] + [6,0,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[1,2] + [6,0] , A=[4] , C=0 , 2+0+0=2 , A->2 , C->0
[1] + [6] , A=[2,4] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,2,4] C=0 , END
</scratch>
724
| 724 |
Input:
222+652
Target:
| Input:
222+652
Target:
<scratch>
[2,2,2] has 3 digits.
[6,5,2] has 3 digits.
[2,2,2] + [6,5,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[2,2] + [6,5] , A=[4] , C=0 , 2+5+0=7 , A->7 , C->0
[2] + [6] , A=[7,4] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,7,4] C=0 , END
</scratch>
874
| 874 |
Input:
212+877
Target:
| Input:
212+877
Target:
<scratch>
[2,1,2] has 3 digits.
[8,7,7] has 3 digits.
[2,1,2] + [8,7,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[2,1] + [8,7] , A=[9] , C=0 , 1+7+0=8 , A->8 , C->0
[2] + [8] , A=[8,9] , C=0 , 2+8+0=10 , A->0 , C->1
[] + [] , A=[0,8,9] C=1 , END
</scratch>
1089
| 1089 |
Input:
349+210
Target:
| Input:
349+210
Target:
<scratch>
[3,4,9] has 3 digits.
[2,1,0] has 3 digits.
[3,4,9] + [2,1,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[3,4] + [2,1] , A=[9] , C=0 , 4+1+0=5 , A->5 , C->0
[3] + [2] , A=[5,9] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,5,9] C=0 , END
</scratch>
559
| 559 |
Input:
21+760
Target:
| Input:
21+760
Target:
<scratch>
[2,1] has 2 digits.
[7,6,0] has 3 digits.
[2,1] + [7,6,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[2] + [7,6] , A=[1] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [7] , A=[8,1] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,8,1] C=0 , END
</scratch>
781
| 781 |
Input:
948+483
Target:
| Input:
948+483
Target:
<scratch>
[9,4,8] has 3 digits.
[4,8,3] has 3 digits.
[9,4,8] + [4,8,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,4] + [4,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[9] + [4] , A=[3,1] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,3,1] C=1 , END
</scratch>
1431
| 1431 |
Input:
237+95
Target:
| Input:
237+95
Target:
<scratch>
[2,3,7] has 3 digits.
[9,5] has 2 digits.
[2,3,7] + [9,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[2,3] + [9] , A=[2] , C=1 , 3+9+1=13 , A->3 , C->1
[2] + [] , A=[3,2] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,3,2] C=0 , END
</scratch>
332
| 332 |
Input:
941+165
Target:
| Input:
941+165
Target:
<scratch>
[9,4,1] has 3 digits.
[1,6,5] has 3 digits.
[9,4,1] + [1,6,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[9,4] + [1,6] , A=[6] , C=0 , 4+6+0=10 , A->0 , C->1
[9] + [1] , A=[0,6] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
160+459
Target:
| Input:
160+459
Target:
<scratch>
[1,6,0] has 3 digits.
[4,5,9] has 3 digits.
[1,6,0] + [4,5,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[1,6] + [4,5] , A=[9] , C=0 , 6+5+0=11 , A->1 , C->1
[1] + [4] , A=[1,9] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,1,9] C=0 , END
</scratch>
619
| 619 |
Input:
155+307
Target:
| Input:
155+307
Target:
<scratch>
[1,5,5] has 3 digits.
[3,0,7] has 3 digits.
[1,5,5] + [3,0,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[1,5] + [3,0] , A=[2] , C=1 , 5+0+1=6 , A->6 , C->0
[1] + [3] , A=[6,2] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,6,2] C=0 , END
</scratch>
462
| 462 |
Input:
492+651
Target:
| Input:
492+651
Target:
<scratch>
[4,9,2] has 3 digits.
[6,5,1] has 3 digits.
[4,9,2] + [6,5,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[4,9] + [6,5] , A=[3] , C=0 , 9+5+0=14 , A->4 , C->1
[4] + [6] , A=[4,3] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,4,3] C=1 , END
</scratch>
1143
| 1143 |
Input:
904+70
Target:
| Input:
904+70
Target:
<scratch>
[9,0,4] has 3 digits.
[7,0] has 2 digits.
[9,0,4] + [7,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[9,0] + [7] , A=[4] , C=0 , 0+7+0=7 , A->7 , C->0
[9] + [] , A=[7,4] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,7,4] C=0 , END
</scratch>
974
| 974 |
Input:
931+676
Target:
| Input:
931+676
Target:
<scratch>
[9,3,1] has 3 digits.
[6,7,6] has 3 digits.
[9,3,1] + [6,7,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[9,3] + [6,7] , A=[7] , C=0 , 3+7+0=10 , A->0 , C->1
[9] + [6] , A=[0,7] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,7] C=1 , END
</scratch>
1607
| 1607 |
Input:
557+330
Target:
| Input:
557+330
Target:
<scratch>
[5,5,7] has 3 digits.
[3,3,0] has 3 digits.
[5,5,7] + [3,3,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[5,5] + [3,3] , A=[7] , C=0 , 5+3+0=8 , A->8 , C->0
[5] + [3] , A=[8,7] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,8,7] C=0 , END
</scratch>
887
| 887 |
Input:
928+223
Target:
| Input:
928+223
Target:
<scratch>
[9,2,8] has 3 digits.
[2,2,3] has 3 digits.
[9,2,8] + [2,2,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[9,2] + [2,2] , A=[1] , C=1 , 2+2+1=5 , A->5 , C->0
[9] + [2] , A=[5,1] , C=0 , 9+2+0=11 , A->1 , C->1
[] + [] , A=[1,5,1] C=1 , END
</scratch>
1151
| 1151 |
Input:
603+46
Target:
| Input:
603+46
Target:
<scratch>
[6,0,3] has 3 digits.
[4,6] has 2 digits.
[6,0,3] + [4,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[6,0] + [4] , A=[9] , C=0 , 0+4+0=4 , A->4 , C->0
[6] + [] , A=[4,9] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,4,9] C=0 , END
</scratch>
649
| 649 |
Input:
266+111
Target:
| Input:
266+111
Target:
<scratch>
[2,6,6] has 3 digits.
[1,1,1] has 3 digits.
[2,6,6] + [1,1,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[2,6] + [1,1] , A=[7] , C=0 , 6+1+0=7 , A->7 , C->0
[2] + [1] , A=[7,7] , C=0 , 2+1+0=3 , A->3 , C->0
[] + [] , A=[3,7,7] C=0 , END
</scratch>
377
| 377 |
Input:
753+937
Target:
| Input:
753+937
Target:
<scratch>
[7,5,3] has 3 digits.
[9,3,7] has 3 digits.
[7,5,3] + [9,3,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[7,5] + [9,3] , A=[0] , C=1 , 5+3+1=9 , A->9 , C->0
[7] + [9] , A=[9,0] , C=0 , 7+9+0=16 , A->6 , C->1
[] + [] , A=[6,9,0] C=1 , END
</scratch>
1690
| 1690 |
Input:
479+596
Target:
| Input:
479+596
Target:
<scratch>
[4,7,9] has 3 digits.
[5,9,6] has 3 digits.
[4,7,9] + [5,9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[4,7] + [5,9] , A=[5] , C=1 , 7+9+1=17 , A->7 , C->1
[4] + [5] , A=[7,5] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,7,5] C=1 , END
</scratch>
1075
| 1075 |
Input:
901+757
Target:
| Input:
901+757
Target:
<scratch>
[9,0,1] has 3 digits.
[7,5,7] has 3 digits.
[9,0,1] + [7,5,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[9,0] + [7,5] , A=[8] , C=0 , 0+5+0=5 , A->5 , C->0
[9] + [7] , A=[5,8] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,5,8] C=1 , END
</scratch>
1658
| 1658 |
Input:
1+526
Target:
| Input:
1+526
Target:
<scratch>
[1] has 1 digits.
[5,2,6] has 3 digits.
[1] + [5,2,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [5,2] , A=[7] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [5] , A=[2,7] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,2,7] C=0 , END
</scratch>
527
| 527 |
Input:
77+239
Target:
| Input:
77+239
Target:
<scratch>
[7,7] has 2 digits.
[2,3,9] has 3 digits.
[7,7] + [2,3,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[7] + [2,3] , A=[6] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [2] , A=[1,6] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,1,6] C=0 , END
</scratch>
316
| 316 |
Input:
151+418
Target:
| Input:
151+418
Target:
<scratch>
[1,5,1] has 3 digits.
[4,1,8] has 3 digits.
[1,5,1] + [4,1,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[1,5] + [4,1] , A=[9] , C=0 , 5+1+0=6 , A->6 , C->0
[1] + [4] , A=[6,9] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,6,9] C=0 , END
</scratch>
569
| 569 |
Input:
841+37
Target:
| Input:
841+37
Target:
<scratch>
[8,4,1] has 3 digits.
[3,7] has 2 digits.
[8,4,1] + [3,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[8,4] + [3] , A=[8] , C=0 , 4+3+0=7 , A->7 , C->0
[8] + [] , A=[7,8] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
408+957
Target:
| Input:
408+957
Target:
<scratch>
[4,0,8] has 3 digits.
[9,5,7] has 3 digits.
[4,0,8] + [9,5,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[4,0] + [9,5] , A=[5] , C=1 , 0+5+1=6 , A->6 , C->0
[4] + [9] , A=[6,5] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,6,5] C=1 , END
</scratch>
1365
| 1365 |
Input:
254+568
Target:
| Input:
254+568
Target:
<scratch>
[2,5,4] has 3 digits.
[5,6,8] has 3 digits.
[2,5,4] + [5,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[2,5] + [5,6] , A=[2] , C=1 , 5+6+1=12 , A->2 , C->1
[2] + [5] , A=[2,2] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,2,2] C=0 , END
</scratch>
822
| 822 |
Input:
870+612
Target:
| Input:
870+612
Target:
<scratch>
[8,7,0] has 3 digits.
[6,1,2] has 3 digits.
[8,7,0] + [6,1,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[8,7] + [6,1] , A=[2] , C=0 , 7+1+0=8 , A->8 , C->0
[8] + [6] , A=[8,2] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,8,2] C=1 , END
</scratch>
1482
| 1482 |
Input:
645+818
Target:
| Input:
645+818
Target:
<scratch>
[6,4,5] has 3 digits.
[8,1,8] has 3 digits.
[6,4,5] + [8,1,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[6,4] + [8,1] , A=[3] , C=1 , 4+1+1=6 , A->6 , C->0
[6] + [8] , A=[6,3] , C=0 , 6+8+0=14 , A->4 , C->1
[] + [] , A=[4,6,3] C=1 , END
</scratch>
1463
| 1463 |
Input:
744+290
Target:
| Input:
744+290
Target:
<scratch>
[7,4,4] has 3 digits.
[2,9,0] has 3 digits.
[7,4,4] + [2,9,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[7,4] + [2,9] , A=[4] , C=0 , 4+9+0=13 , A->3 , C->1
[7] + [2] , A=[3,4] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,3,4] C=1 , END
</scratch>
1034
| 1034 |
Input:
407+315
Target:
| Input:
407+315
Target:
<scratch>
[4,0,7] has 3 digits.
[3,1,5] has 3 digits.
[4,0,7] + [3,1,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[4,0] + [3,1] , A=[2] , C=1 , 0+1+1=2 , A->2 , C->0
[4] + [3] , A=[2,2] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,2,2] C=0 , END
</scratch>
722
| 722 |
Input:
407+59
Target:
| Input:
407+59
Target:
<scratch>
[4,0,7] has 3 digits.
[5,9] has 2 digits.
[4,0,7] + [5,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[4,0] + [5] , A=[6] , C=1 , 0+5+1=6 , A->6 , C->0
[4] + [] , A=[6,6] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,6,6] C=0 , END
</scratch>
466
| 466 |
Input:
608+156
Target:
| Input:
608+156
Target:
<scratch>
[6,0,8] has 3 digits.
[1,5,6] has 3 digits.
[6,0,8] + [1,5,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[6,0] + [1,5] , A=[4] , C=1 , 0+5+1=6 , A->6 , C->0
[6] + [1] , A=[6,4] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,6,4] C=0 , END
</scratch>
764
| 764 |
Input:
683+694
Target:
| Input:
683+694
Target:
<scratch>
[6,8,3] has 3 digits.
[6,9,4] has 3 digits.
[6,8,3] + [6,9,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[6,8] + [6,9] , A=[7] , C=0 , 8+9+0=17 , A->7 , C->1
[6] + [6] , A=[7,7] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,7,7] C=1 , END
</scratch>
1377
| 1377 |
Input:
72+941
Target:
| Input:
72+941
Target:
<scratch>
[7,2] has 2 digits.
[9,4,1] has 3 digits.
[7,2] + [9,4,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[7] + [9,4] , A=[3] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [9] , A=[1,3] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,1,3] C=1 , END
</scratch>
1013
| 1013 |
Input:
787+73
Target:
| Input:
787+73
Target:
<scratch>
[7,8,7] has 3 digits.
[7,3] has 2 digits.
[7,8,7] + [7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[7,8] + [7] , A=[0] , C=1 , 8+7+1=16 , A->6 , C->1
[7] + [] , A=[6,0] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,6,0] C=0 , END
</scratch>
860
| 860 |
Input:
424+64
Target:
| Input:
424+64
Target:
<scratch>
[4,2,4] has 3 digits.
[6,4] has 2 digits.
[4,2,4] + [6,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[4,2] + [6] , A=[8] , C=0 , 2+6+0=8 , A->8 , C->0
[4] + [] , A=[8,8] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,8,8] C=0 , END
</scratch>
488
| 488 |
Input:
232+257
Target:
| Input:
232+257
Target:
<scratch>
[2,3,2] has 3 digits.
[2,5,7] has 3 digits.
[2,3,2] + [2,5,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[2,3] + [2,5] , A=[9] , C=0 , 3+5+0=8 , A->8 , C->0
[2] + [2] , A=[8,9] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,8,9] C=0 , END
</scratch>
489
| 489 |
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