input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
113+513
Target:
| Input:
113+513
Target:
<scratch>
[1,1,3] has 3 digits.
[5,1,3] has 3 digits.
[1,1,3] + [5,1,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,1] + [5,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[1] + [5] , A=[2,6] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,2,6] C=0 , END
</scratch>
626
| 626 |
Input:
234+310
Target:
| Input:
234+310
Target:
<scratch>
[2,3,4] has 3 digits.
[3,1,0] has 3 digits.
[2,3,4] + [3,1,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[2,3] + [3,1] , A=[4] , C=0 , 3+1+0=4 , A->4 , C->0
[2] + [3] , A=[4,4] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,4,4] C=0 , END
</scratch>
544
| 544 |
Input:
939+465
Target:
| Input:
939+465
Target:
<scratch>
[9,3,9] has 3 digits.
[4,6,5] has 3 digits.
[9,3,9] + [4,6,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[9,3] + [4,6] , A=[4] , C=1 , 3+6+1=10 , A->0 , C->1
[9] + [4] , A=[0,4] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,0,4] C=1 , END
</scratch>
1404
| 1404 |
Input:
451+660
Target:
| Input:
451+660
Target:
<scratch>
[4,5,1] has 3 digits.
[6,6,0] has 3 digits.
[4,5,1] + [6,6,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[4,5] + [6,6] , A=[1] , C=0 , 5+6+0=11 , A->1 , C->1
[4] + [6] , A=[1,1] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,1,1] C=1 , END
</scratch>
1111
| 1111 |
Input:
211+641
Target:
| Input:
211+641
Target:
<scratch>
[2,1,1] has 3 digits.
[6,4,1] has 3 digits.
[2,1,1] + [6,4,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[2,1] + [6,4] , A=[2] , C=0 , 1+4+0=5 , A->5 , C->0
[2] + [6] , A=[5,2] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,5,2] C=0 , END
</scratch>
852
| 852 |
Input:
663+418
Target:
| Input:
663+418
Target:
<scratch>
[6,6,3] has 3 digits.
[4,1,8] has 3 digits.
[6,6,3] + [4,1,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,6] + [4,1] , A=[1] , C=1 , 6+1+1=8 , A->8 , C->0
[6] + [4] , A=[8,1] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,8,1] C=1 , END
</scratch>
1081
| 1081 |
Input:
697+266
Target:
| Input:
697+266
Target:
<scratch>
[6,9,7] has 3 digits.
[2,6,6] has 3 digits.
[6,9,7] + [2,6,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[6,9] + [2,6] , A=[3] , C=1 , 9+6+1=16 , A->6 , C->1
[6] + [2] , A=[6,3] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,6,3] C=0 , END
</scratch>
963
| 963 |
Input:
179+787
Target:
| Input:
179+787
Target:
<scratch>
[1,7,9] has 3 digits.
[7,8,7] has 3 digits.
[1,7,9] + [7,8,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[1,7] + [7,8] , A=[6] , C=1 , 7+8+1=16 , A->6 , C->1
[1] + [7] , A=[6,6] , C=1 , 1+7+1=9 , A->9 , C->0
[] + [] , A=[9,6,6] C=0 , END
</scratch>
966
| 966 |
Input:
828+427
Target:
| Input:
828+427
Target:
<scratch>
[8,2,8] has 3 digits.
[4,2,7] has 3 digits.
[8,2,8] + [4,2,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[8,2] + [4,2] , A=[5] , C=1 , 2+2+1=5 , A->5 , C->0
[8] + [4] , A=[5,5] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,5,5] C=1 , END
</scratch>
1255
| 1255 |
Input:
865+133
Target:
| Input:
865+133
Target:
<scratch>
[8,6,5] has 3 digits.
[1,3,3] has 3 digits.
[8,6,5] + [1,3,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[8,6] + [1,3] , A=[8] , C=0 , 6+3+0=9 , A->9 , C->0
[8] + [1] , A=[9,8] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,8] C=0 , END
</scratch>
998
| 998 |
Input:
796+851
Target:
| Input:
796+851
Target:
<scratch>
[7,9,6] has 3 digits.
[8,5,1] has 3 digits.
[7,9,6] + [8,5,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[7,9] + [8,5] , A=[7] , C=0 , 9+5+0=14 , A->4 , C->1
[7] + [8] , A=[4,7] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,4,7] C=1 , END
</scratch>
1647
| 1647 |
Input:
489+923
Target:
| Input:
489+923
Target:
<scratch>
[4,8,9] has 3 digits.
[9,2,3] has 3 digits.
[4,8,9] + [9,2,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[4,8] + [9,2] , A=[2] , C=1 , 8+2+1=11 , A->1 , C->1
[4] + [9] , A=[1,2] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,1,2] C=1 , END
</scratch>
1412
| 1412 |
Input:
299+316
Target:
| Input:
299+316
Target:
<scratch>
[2,9,9] has 3 digits.
[3,1,6] has 3 digits.
[2,9,9] + [3,1,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[2,9] + [3,1] , A=[5] , C=1 , 9+1+1=11 , A->1 , C->1
[2] + [3] , A=[1,5] , C=1 , 2+3+1=6 , A->6 , C->0
[] + [] , A=[6,1,5] C=0 , END
</scratch>
615
| 615 |
Input:
367+211
Target:
| Input:
367+211
Target:
<scratch>
[3,6,7] has 3 digits.
[2,1,1] has 3 digits.
[3,6,7] + [2,1,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[3,6] + [2,1] , A=[8] , C=0 , 6+1+0=7 , A->7 , C->0
[3] + [2] , A=[7,8] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,7,8] C=0 , END
</scratch>
578
| 578 |
Input:
704+120
Target:
| Input:
704+120
Target:
<scratch>
[7,0,4] has 3 digits.
[1,2,0] has 3 digits.
[7,0,4] + [1,2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[7,0] + [1,2] , A=[4] , C=0 , 0+2+0=2 , A->2 , C->0
[7] + [1] , A=[2,4] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,2,4] C=0 , END
</scratch>
824
| 824 |
Input:
876+314
Target:
| Input:
876+314
Target:
<scratch>
[8,7,6] has 3 digits.
[3,1,4] has 3 digits.
[8,7,6] + [3,1,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[8,7] + [3,1] , A=[0] , C=1 , 7+1+1=9 , A->9 , C->0
[8] + [3] , A=[9,0] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,9,0] C=1 , END
</scratch>
1190
| 1190 |
Input:
640+361
Target:
| Input:
640+361
Target:
<scratch>
[6,4,0] has 3 digits.
[3,6,1] has 3 digits.
[6,4,0] + [3,6,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[6,4] + [3,6] , A=[1] , C=0 , 4+6+0=10 , A->0 , C->1
[6] + [3] , A=[0,1] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
774+446
Target:
| Input:
774+446
Target:
<scratch>
[7,7,4] has 3 digits.
[4,4,6] has 3 digits.
[7,7,4] + [4,4,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[7,7] + [4,4] , A=[0] , C=1 , 7+4+1=12 , A->2 , C->1
[7] + [4] , A=[2,0] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,2,0] C=1 , END
</scratch>
1220
| 1220 |
Input:
516+150
Target:
| Input:
516+150
Target:
<scratch>
[5,1,6] has 3 digits.
[1,5,0] has 3 digits.
[5,1,6] + [1,5,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[5,1] + [1,5] , A=[6] , C=0 , 1+5+0=6 , A->6 , C->0
[5] + [1] , A=[6,6] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,6,6] C=0 , END
</scratch>
666
| 666 |
Input:
308+331
Target:
| Input:
308+331
Target:
<scratch>
[3,0,8] has 3 digits.
[3,3,1] has 3 digits.
[3,0,8] + [3,3,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[3,0] + [3,3] , A=[9] , C=0 , 0+3+0=3 , A->3 , C->0
[3] + [3] , A=[3,9] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,3,9] C=0 , END
</scratch>
639
| 639 |
Input:
448+99
Target:
| Input:
448+99
Target:
<scratch>
[4,4,8] has 3 digits.
[9,9] has 2 digits.
[4,4,8] + [9,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[4,4] + [9] , A=[7] , C=1 , 4+9+1=14 , A->4 , C->1
[4] + [] , A=[4,7] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,4,7] C=0 , END
</scratch>
547
| 547 |
Input:
367+169
Target:
| Input:
367+169
Target:
<scratch>
[3,6,7] has 3 digits.
[1,6,9] has 3 digits.
[3,6,7] + [1,6,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[3,6] + [1,6] , A=[6] , C=1 , 6+6+1=13 , A->3 , C->1
[3] + [1] , A=[3,6] , C=1 , 3+1+1=5 , A->5 , C->0
[] + [] , A=[5,3,6] C=0 , END
</scratch>
536
| 536 |
Input:
466+719
Target:
| Input:
466+719
Target:
<scratch>
[4,6,6] has 3 digits.
[7,1,9] has 3 digits.
[4,6,6] + [7,1,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[4,6] + [7,1] , A=[5] , C=1 , 6+1+1=8 , A->8 , C->0
[4] + [7] , A=[8,5] , C=0 , 4+7+0=11 , A->1 , C->1
[] + [] , A=[1,8,5] C=1 , END
</scratch>
1185
| 1185 |
Input:
995+463
Target:
| Input:
995+463
Target:
<scratch>
[9,9,5] has 3 digits.
[4,6,3] has 3 digits.
[9,9,5] + [4,6,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[9,9] + [4,6] , A=[8] , C=0 , 9+6+0=15 , A->5 , C->1
[9] + [4] , A=[5,8] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,5,8] C=1 , END
</scratch>
1458
| 1458 |
Input:
457+58
Target:
| Input:
457+58
Target:
<scratch>
[4,5,7] has 3 digits.
[5,8] has 2 digits.
[4,5,7] + [5,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[4,5] + [5] , A=[5] , C=1 , 5+5+1=11 , A->1 , C->1
[4] + [] , A=[1,5] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,1,5] C=0 , END
</scratch>
515
| 515 |
Input:
737+96
Target:
| Input:
737+96
Target:
<scratch>
[7,3,7] has 3 digits.
[9,6] has 2 digits.
[7,3,7] + [9,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[7,3] + [9] , A=[3] , C=1 , 3+9+1=13 , A->3 , C->1
[7] + [] , A=[3,3] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,3,3] C=0 , END
</scratch>
833
| 833 |
Input:
942+598
Target:
| Input:
942+598
Target:
<scratch>
[9,4,2] has 3 digits.
[5,9,8] has 3 digits.
[9,4,2] + [5,9,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[9,4] + [5,9] , A=[0] , C=1 , 4+9+1=14 , A->4 , C->1
[9] + [5] , A=[4,0] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,4,0] C=1 , END
</scratch>
1540
| 1540 |
Input:
596+615
Target:
| Input:
596+615
Target:
<scratch>
[5,9,6] has 3 digits.
[6,1,5] has 3 digits.
[5,9,6] + [6,1,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[5,9] + [6,1] , A=[1] , C=1 , 9+1+1=11 , A->1 , C->1
[5] + [6] , A=[1,1] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,1,1] C=1 , END
</scratch>
1211
| 1211 |
Input:
699+610
Target:
| Input:
699+610
Target:
<scratch>
[6,9,9] has 3 digits.
[6,1,0] has 3 digits.
[6,9,9] + [6,1,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[6,9] + [6,1] , A=[9] , C=0 , 9+1+0=10 , A->0 , C->1
[6] + [6] , A=[0,9] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,0,9] C=1 , END
</scratch>
1309
| 1309 |
Input:
334+411
Target:
| Input:
334+411
Target:
<scratch>
[3,3,4] has 3 digits.
[4,1,1] has 3 digits.
[3,3,4] + [4,1,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[3,3] + [4,1] , A=[5] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [4] , A=[4,5] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,4,5] C=0 , END
</scratch>
745
| 745 |
Input:
232+655
Target:
| Input:
232+655
Target:
<scratch>
[2,3,2] has 3 digits.
[6,5,5] has 3 digits.
[2,3,2] + [6,5,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[2,3] + [6,5] , A=[7] , C=0 , 3+5+0=8 , A->8 , C->0
[2] + [6] , A=[8,7] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,8,7] C=0 , END
</scratch>
887
| 887 |
Input:
170+601
Target:
| Input:
170+601
Target:
<scratch>
[1,7,0] has 3 digits.
[6,0,1] has 3 digits.
[1,7,0] + [6,0,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[1,7] + [6,0] , A=[1] , C=0 , 7+0+0=7 , A->7 , C->0
[1] + [6] , A=[7,1] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,7,1] C=0 , END
</scratch>
771
| 771 |
Input:
529+721
Target:
| Input:
529+721
Target:
<scratch>
[5,2,9] has 3 digits.
[7,2,1] has 3 digits.
[5,2,9] + [7,2,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[5,2] + [7,2] , A=[0] , C=1 , 2+2+1=5 , A->5 , C->0
[5] + [7] , A=[5,0] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,5,0] C=1 , END
</scratch>
1250
| 1250 |
Input:
181+659
Target:
| Input:
181+659
Target:
<scratch>
[1,8,1] has 3 digits.
[6,5,9] has 3 digits.
[1,8,1] + [6,5,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[1,8] + [6,5] , A=[0] , C=1 , 8+5+1=14 , A->4 , C->1
[1] + [6] , A=[4,0] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,4,0] C=0 , END
</scratch>
840
| 840 |
Input:
493+297
Target:
| Input:
493+297
Target:
<scratch>
[4,9,3] has 3 digits.
[2,9,7] has 3 digits.
[4,9,3] + [2,9,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[4,9] + [2,9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[4] + [2] , A=[9,0] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,9,0] C=0 , END
</scratch>
790
| 790 |
Input:
462+619
Target:
| Input:
462+619
Target:
<scratch>
[4,6,2] has 3 digits.
[6,1,9] has 3 digits.
[4,6,2] + [6,1,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[4,6] + [6,1] , A=[1] , C=1 , 6+1+1=8 , A->8 , C->0
[4] + [6] , A=[8,1] , C=0 , 4+6+0=10 , A->0 , C->1
[] + [] , A=[0,8,1] C=1 , END
</scratch>
1081
| 1081 |
Input:
398+698
Target:
| Input:
398+698
Target:
<scratch>
[3,9,8] has 3 digits.
[6,9,8] has 3 digits.
[3,9,8] + [6,9,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[3,9] + [6,9] , A=[6] , C=1 , 9+9+1=19 , A->9 , C->1
[3] + [6] , A=[9,6] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,9,6] C=1 , END
</scratch>
1096
| 1096 |
Input:
302+50
Target:
| Input:
302+50
Target:
<scratch>
[3,0,2] has 3 digits.
[5,0] has 2 digits.
[3,0,2] + [5,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[3,0] + [5] , A=[2] , C=0 , 0+5+0=5 , A->5 , C->0
[3] + [] , A=[5,2] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,5,2] C=0 , END
</scratch>
352
| 352 |
Input:
139+298
Target:
| Input:
139+298
Target:
<scratch>
[1,3,9] has 3 digits.
[2,9,8] has 3 digits.
[1,3,9] + [2,9,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[1,3] + [2,9] , A=[7] , C=1 , 3+9+1=13 , A->3 , C->1
[1] + [2] , A=[3,7] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [] , A=[4,3,7] C=0 , END
</scratch>
437
| 437 |
Input:
100+106
Target:
| Input:
100+106
Target:
<scratch>
[1,0,0] has 3 digits.
[1,0,6] has 3 digits.
[1,0,0] + [1,0,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[1,0] + [1,0] , A=[6] , C=0 , 0+0+0=0 , A->0 , C->0
[1] + [1] , A=[0,6] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,0,6] C=0 , END
</scratch>
206
| 206 |
Input:
550+758
Target:
| Input:
550+758
Target:
<scratch>
[5,5,0] has 3 digits.
[7,5,8] has 3 digits.
[5,5,0] + [7,5,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[5,5] + [7,5] , A=[8] , C=0 , 5+5+0=10 , A->0 , C->1
[5] + [7] , A=[0,8] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,0,8] C=1 , END
</scratch>
1308
| 1308 |
Input:
403+586
Target:
| Input:
403+586
Target:
<scratch>
[4,0,3] has 3 digits.
[5,8,6] has 3 digits.
[4,0,3] + [5,8,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[4,0] + [5,8] , A=[9] , C=0 , 0+8+0=8 , A->8 , C->0
[4] + [5] , A=[8,9] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,8,9] C=0 , END
</scratch>
989
| 989 |
Input:
881+838
Target:
| Input:
881+838
Target:
<scratch>
[8,8,1] has 3 digits.
[8,3,8] has 3 digits.
[8,8,1] + [8,3,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[8,8] + [8,3] , A=[9] , C=0 , 8+3+0=11 , A->1 , C->1
[8] + [8] , A=[1,9] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,1,9] C=1 , END
</scratch>
1719
| 1719 |
Input:
866+54
Target:
| Input:
866+54
Target:
<scratch>
[8,6,6] has 3 digits.
[5,4] has 2 digits.
[8,6,6] + [5,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[8,6] + [5] , A=[0] , C=1 , 6+5+1=12 , A->2 , C->1
[8] + [] , A=[2,0] , C=1 , 8+0+1=9 , A->9 , C->0
[] + [] , A=[9,2,0] C=0 , END
</scratch>
920
| 920 |
Input:
508+759
Target:
| Input:
508+759
Target:
<scratch>
[5,0,8] has 3 digits.
[7,5,9] has 3 digits.
[5,0,8] + [7,5,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5,0] + [7,5] , A=[7] , C=1 , 0+5+1=6 , A->6 , C->0
[5] + [7] , A=[6,7] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,6,7] C=1 , END
</scratch>
1267
| 1267 |
Input:
376+875
Target:
| Input:
376+875
Target:
<scratch>
[3,7,6] has 3 digits.
[8,7,5] has 3 digits.
[3,7,6] + [8,7,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[3,7] + [8,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[3] + [8] , A=[5,1] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,5,1] C=1 , END
</scratch>
1251
| 1251 |
Input:
786+951
Target:
| Input:
786+951
Target:
<scratch>
[7,8,6] has 3 digits.
[9,5,1] has 3 digits.
[7,8,6] + [9,5,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[7,8] + [9,5] , A=[7] , C=0 , 8+5+0=13 , A->3 , C->1
[7] + [9] , A=[3,7] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,3,7] C=1 , END
</scratch>
1737
| 1737 |
Input:
10+508
Target:
| Input:
10+508
Target:
<scratch>
[1,0] has 2 digits.
[5,0,8] has 3 digits.
[1,0] + [5,0,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[1] + [5,0] , A=[8] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [5] , A=[1,8] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,1,8] C=0 , END
</scratch>
518
| 518 |
Input:
938+229
Target:
| Input:
938+229
Target:
<scratch>
[9,3,8] has 3 digits.
[2,2,9] has 3 digits.
[9,3,8] + [2,2,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,3] + [2,2] , A=[7] , C=1 , 3+2+1=6 , A->6 , C->0
[9] + [2] , A=[6,7] , C=0 , 9+2+0=11 , A->1 , C->1
[] + [] , A=[1,6,7] C=1 , END
</scratch>
1167
| 1167 |
Input:
275+456
Target:
| Input:
275+456
Target:
<scratch>
[2,7,5] has 3 digits.
[4,5,6] has 3 digits.
[2,7,5] + [4,5,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[2,7] + [4,5] , A=[1] , C=1 , 7+5+1=13 , A->3 , C->1
[2] + [4] , A=[3,1] , C=1 , 2+4+1=7 , A->7 , C->0
[] + [] , A=[7,3,1] C=0 , END
</scratch>
731
| 731 |
Input:
76+275
Target:
| Input:
76+275
Target:
<scratch>
[7,6] has 2 digits.
[2,7,5] has 3 digits.
[7,6] + [2,7,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[7] + [2,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [2] , A=[5,1] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,5,1] C=0 , END
</scratch>
351
| 351 |
Input:
602+919
Target:
| Input:
602+919
Target:
<scratch>
[6,0,2] has 3 digits.
[9,1,9] has 3 digits.
[6,0,2] + [9,1,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[6,0] + [9,1] , A=[1] , C=1 , 0+1+1=2 , A->2 , C->0
[6] + [9] , A=[2,1] , C=0 , 6+9+0=15 , A->5 , C->1
[] + [] , A=[5,2,1] C=1 , END
</scratch>
1521
| 1521 |
Input:
280+706
Target:
| Input:
280+706
Target:
<scratch>
[2,8,0] has 3 digits.
[7,0,6] has 3 digits.
[2,8,0] + [7,0,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[2,8] + [7,0] , A=[6] , C=0 , 8+0+0=8 , A->8 , C->0
[2] + [7] , A=[8,6] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,8,6] C=0 , END
</scratch>
986
| 986 |
Input:
678+760
Target:
| Input:
678+760
Target:
<scratch>
[6,7,8] has 3 digits.
[7,6,0] has 3 digits.
[6,7,8] + [7,6,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[6,7] + [7,6] , A=[8] , C=0 , 7+6+0=13 , A->3 , C->1
[6] + [7] , A=[3,8] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,3,8] C=1 , END
</scratch>
1438
| 1438 |
Input:
875+10
Target:
| Input:
875+10
Target:
<scratch>
[8,7,5] has 3 digits.
[1,0] has 2 digits.
[8,7,5] + [1,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[8,7] + [1] , A=[5] , C=0 , 7+1+0=8 , A->8 , C->0
[8] + [] , A=[8,5] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [] , A=[8,8,5] C=0 , END
</scratch>
885
| 885 |
Input:
941+394
Target:
| Input:
941+394
Target:
<scratch>
[9,4,1] has 3 digits.
[3,9,4] has 3 digits.
[9,4,1] + [3,9,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[9,4] + [3,9] , A=[5] , C=0 , 4+9+0=13 , A->3 , C->1
[9] + [3] , A=[3,5] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,3,5] C=1 , END
</scratch>
1335
| 1335 |
Input:
497+755
Target:
| Input:
497+755
Target:
<scratch>
[4,9,7] has 3 digits.
[7,5,5] has 3 digits.
[4,9,7] + [7,5,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[4,9] + [7,5] , A=[2] , C=1 , 9+5+1=15 , A->5 , C->1
[4] + [7] , A=[5,2] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,5,2] C=1 , END
</scratch>
1252
| 1252 |
Input:
34+914
Target:
| Input:
34+914
Target:
<scratch>
[3,4] has 2 digits.
[9,1,4] has 3 digits.
[3,4] + [9,1,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[3] + [9,1] , A=[8] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [9] , A=[4,8] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,4,8] C=0 , END
</scratch>
948
| 948 |
Input:
588+478
Target:
| Input:
588+478
Target:
<scratch>
[5,8,8] has 3 digits.
[4,7,8] has 3 digits.
[5,8,8] + [4,7,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,8] + [4,7] , A=[6] , C=1 , 8+7+1=16 , A->6 , C->1
[5] + [4] , A=[6,6] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,6,6] C=1 , END
</scratch>
1066
| 1066 |
Input:
510+200
Target:
| Input:
510+200
Target:
<scratch>
[5,1,0] has 3 digits.
[2,0,0] has 3 digits.
[5,1,0] + [2,0,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[5,1] + [2,0] , A=[0] , C=0 , 1+0+0=1 , A->1 , C->0
[5] + [2] , A=[1,0] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,1,0] C=0 , END
</scratch>
710
| 710 |
Input:
387+646
Target:
| Input:
387+646
Target:
<scratch>
[3,8,7] has 3 digits.
[6,4,6] has 3 digits.
[3,8,7] + [6,4,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[3,8] + [6,4] , A=[3] , C=1 , 8+4+1=13 , A->3 , C->1
[3] + [6] , A=[3,3] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,3,3] C=1 , END
</scratch>
1033
| 1033 |
Input:
573+527
Target:
| Input:
573+527
Target:
<scratch>
[5,7,3] has 3 digits.
[5,2,7] has 3 digits.
[5,7,3] + [5,2,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[5,7] + [5,2] , A=[0] , C=1 , 7+2+1=10 , A->0 , C->1
[5] + [5] , A=[0,0] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,0,0] C=1 , END
</scratch>
1100
| 1100 |
Input:
459+981
Target:
| Input:
459+981
Target:
<scratch>
[4,5,9] has 3 digits.
[9,8,1] has 3 digits.
[4,5,9] + [9,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[4,5] + [9,8] , A=[0] , C=1 , 5+8+1=14 , A->4 , C->1
[4] + [9] , A=[4,0] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,4,0] C=1 , END
</scratch>
1440
| 1440 |
Input:
719+482
Target:
| Input:
719+482
Target:
<scratch>
[7,1,9] has 3 digits.
[4,8,2] has 3 digits.
[7,1,9] + [4,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[7,1] + [4,8] , A=[1] , C=1 , 1+8+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:
311+555
Target:
| Input:
311+555
Target:
<scratch>
[3,1,1] has 3 digits.
[5,5,5] has 3 digits.
[3,1,1] + [5,5,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[3,1] + [5,5] , A=[6] , C=0 , 1+5+0=6 , A->6 , C->0
[3] + [5] , A=[6,6] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,6,6] C=0 , END
</scratch>
866
| 866 |
Input:
775+651
Target:
| Input:
775+651
Target:
<scratch>
[7,7,5] has 3 digits.
[6,5,1] has 3 digits.
[7,7,5] + [6,5,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[7,7] + [6,5] , A=[6] , C=0 , 7+5+0=12 , A->2 , C->1
[7] + [6] , A=[2,6] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,2,6] C=1 , END
</scratch>
1426
| 1426 |
Input:
578+138
Target:
| Input:
578+138
Target:
<scratch>
[5,7,8] has 3 digits.
[1,3,8] has 3 digits.
[5,7,8] + [1,3,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,7] + [1,3] , A=[6] , C=1 , 7+3+1=11 , A->1 , C->1
[5] + [1] , A=[1,6] , C=1 , 5+1+1=7 , A->7 , C->0
[] + [] , A=[7,1,6] C=0 , END
</scratch>
716
| 716 |
Input:
301+525
Target:
| Input:
301+525
Target:
<scratch>
[3,0,1] has 3 digits.
[5,2,5] has 3 digits.
[3,0,1] + [5,2,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[3,0] + [5,2] , A=[6] , C=0 , 0+2+0=2 , A->2 , C->0
[3] + [5] , A=[2,6] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,2,6] C=0 , END
</scratch>
826
| 826 |
Input:
953+139
Target:
| Input:
953+139
Target:
<scratch>
[9,5,3] has 3 digits.
[1,3,9] has 3 digits.
[9,5,3] + [1,3,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,5] + [1,3] , A=[2] , C=1 , 5+3+1=9 , A->9 , C->0
[9] + [1] , A=[9,2] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,9,2] C=1 , END
</scratch>
1092
| 1092 |
Input:
210+313
Target:
| Input:
210+313
Target:
<scratch>
[2,1,0] has 3 digits.
[3,1,3] has 3 digits.
[2,1,0] + [3,1,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[2,1] + [3,1] , A=[3] , C=0 , 1+1+0=2 , A->2 , C->0
[2] + [3] , A=[2,3] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,2,3] C=0 , END
</scratch>
523
| 523 |
Input:
572+490
Target:
| Input:
572+490
Target:
<scratch>
[5,7,2] has 3 digits.
[4,9,0] has 3 digits.
[5,7,2] + [4,9,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[5,7] + [4,9] , A=[2] , C=0 , 7+9+0=16 , A->6 , C->1
[5] + [4] , A=[6,2] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,6,2] C=1 , END
</scratch>
1062
| 1062 |
Input:
779+730
Target:
| Input:
779+730
Target:
<scratch>
[7,7,9] has 3 digits.
[7,3,0] has 3 digits.
[7,7,9] + [7,3,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[7,7] + [7,3] , A=[9] , C=0 , 7+3+0=10 , A->0 , C->1
[7] + [7] , A=[0,9] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,0,9] C=1 , END
</scratch>
1509
| 1509 |
Input:
730+105
Target:
| Input:
730+105
Target:
<scratch>
[7,3,0] has 3 digits.
[1,0,5] has 3 digits.
[7,3,0] + [1,0,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[7,3] + [1,0] , A=[5] , C=0 , 3+0+0=3 , A->3 , C->0
[7] + [1] , A=[3,5] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,3,5] C=0 , END
</scratch>
835
| 835 |
Input:
650+398
Target:
| Input:
650+398
Target:
<scratch>
[6,5,0] has 3 digits.
[3,9,8] has 3 digits.
[6,5,0] + [3,9,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[6,5] + [3,9] , A=[8] , C=0 , 5+9+0=14 , A->4 , C->1
[6] + [3] , A=[4,8] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,4,8] C=1 , END
</scratch>
1048
| 1048 |
Input:
590+692
Target:
| Input:
590+692
Target:
<scratch>
[5,9,0] has 3 digits.
[6,9,2] has 3 digits.
[5,9,0] + [6,9,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[5,9] + [6,9] , A=[2] , C=0 , 9+9+0=18 , A->8 , C->1
[5] + [6] , A=[8,2] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,8,2] C=1 , END
</scratch>
1282
| 1282 |
Input:
734+767
Target:
| Input:
734+767
Target:
<scratch>
[7,3,4] has 3 digits.
[7,6,7] has 3 digits.
[7,3,4] + [7,6,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[7,3] + [7,6] , A=[1] , C=1 , 3+6+1=10 , A->0 , C->1
[7] + [7] , A=[0,1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,0,1] C=1 , END
</scratch>
1501
| 1501 |
Input:
307+705
Target:
| Input:
307+705
Target:
<scratch>
[3,0,7] has 3 digits.
[7,0,5] has 3 digits.
[3,0,7] + [7,0,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[3,0] + [7,0] , A=[2] , C=1 , 0+0+1=1 , A->1 , C->0
[3] + [7] , A=[1,2] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,1,2] C=1 , END
</scratch>
1012
| 1012 |
Input:
814+327
Target:
| Input:
814+327
Target:
<scratch>
[8,1,4] has 3 digits.
[3,2,7] has 3 digits.
[8,1,4] + [3,2,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[8,1] + [3,2] , A=[1] , C=1 , 1+2+1=4 , A->4 , C->0
[8] + [3] , A=[4,1] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,4,1] C=1 , END
</scratch>
1141
| 1141 |
Input:
402+377
Target:
| Input:
402+377
Target:
<scratch>
[4,0,2] has 3 digits.
[3,7,7] has 3 digits.
[4,0,2] + [3,7,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[4,0] + [3,7] , A=[9] , C=0 , 0+7+0=7 , A->7 , C->0
[4] + [3] , A=[7,9] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,7,9] C=0 , END
</scratch>
779
| 779 |
Input:
998+371
Target:
| Input:
998+371
Target:
<scratch>
[9,9,8] has 3 digits.
[3,7,1] has 3 digits.
[9,9,8] + [3,7,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[9,9] + [3,7] , A=[9] , C=0 , 9+7+0=16 , A->6 , C->1
[9] + [3] , A=[6,9] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,6,9] C=1 , END
</scratch>
1369
| 1369 |
Input:
782+642
Target:
| Input:
782+642
Target:
<scratch>
[7,8,2] has 3 digits.
[6,4,2] has 3 digits.
[7,8,2] + [6,4,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[7,8] + [6,4] , A=[4] , C=0 , 8+4+0=12 , A->2 , C->1
[7] + [6] , A=[2,4] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,2,4] C=1 , END
</scratch>
1424
| 1424 |
Input:
449+388
Target:
| Input:
449+388
Target:
<scratch>
[4,4,9] has 3 digits.
[3,8,8] has 3 digits.
[4,4,9] + [3,8,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[4,4] + [3,8] , A=[7] , C=1 , 4+8+1=13 , A->3 , C->1
[4] + [3] , A=[3,7] , C=1 , 4+3+1=8 , A->8 , C->0
[] + [] , A=[8,3,7] C=0 , END
</scratch>
837
| 837 |
Input:
540+56
Target:
| Input:
540+56
Target:
<scratch>
[5,4,0] has 3 digits.
[5,6] has 2 digits.
[5,4,0] + [5,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[5,4] + [5] , A=[6] , C=0 , 4+5+0=9 , A->9 , C->0
[5] + [] , A=[9,6] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,9,6] C=0 , END
</scratch>
596
| 596 |
Input:
964+257
Target:
| Input:
964+257
Target:
<scratch>
[9,6,4] has 3 digits.
[2,5,7] has 3 digits.
[9,6,4] + [2,5,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[9,6] + [2,5] , A=[1] , C=1 , 6+5+1=12 , A->2 , C->1
[9] + [2] , A=[2,1] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,2,1] C=1 , END
</scratch>
1221
| 1221 |
Input:
697+719
Target:
| Input:
697+719
Target:
<scratch>
[6,9,7] has 3 digits.
[7,1,9] has 3 digits.
[6,9,7] + [7,1,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[6,9] + [7,1] , A=[6] , C=1 , 9+1+1=11 , A->1 , C->1
[6] + [7] , A=[1,6] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,1,6] C=1 , END
</scratch>
1416
| 1416 |
Input:
669+220
Target:
| Input:
669+220
Target:
<scratch>
[6,6,9] has 3 digits.
[2,2,0] has 3 digits.
[6,6,9] + [2,2,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[6,6] + [2,2] , A=[9] , C=0 , 6+2+0=8 , A->8 , C->0
[6] + [2] , A=[8,9] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,8,9] C=0 , END
</scratch>
889
| 889 |
Input:
210+469
Target:
| Input:
210+469
Target:
<scratch>
[2,1,0] has 3 digits.
[4,6,9] has 3 digits.
[2,1,0] + [4,6,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[2,1] + [4,6] , A=[9] , C=0 , 1+6+0=7 , A->7 , C->0
[2] + [4] , A=[7,9] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,7,9] C=0 , END
</scratch>
679
| 679 |
Input:
980+373
Target:
| Input:
980+373
Target:
<scratch>
[9,8,0] has 3 digits.
[3,7,3] has 3 digits.
[9,8,0] + [3,7,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[9,8] + [3,7] , A=[3] , C=0 , 8+7+0=15 , A->5 , C->1
[9] + [3] , A=[5,3] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,5,3] C=1 , END
</scratch>
1353
| 1353 |
Input:
379+699
Target:
| Input:
379+699
Target:
<scratch>
[3,7,9] has 3 digits.
[6,9,9] has 3 digits.
[3,7,9] + [6,9,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[3,7] + [6,9] , A=[8] , C=1 , 7+9+1=17 , A->7 , C->1
[3] + [6] , A=[7,8] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,7,8] C=1 , END
</scratch>
1078
| 1078 |
Input:
459+289
Target:
| Input:
459+289
Target:
<scratch>
[4,5,9] has 3 digits.
[2,8,9] has 3 digits.
[4,5,9] + [2,8,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,5] + [2,8] , A=[8] , C=1 , 5+8+1=14 , A->4 , C->1
[4] + [2] , A=[4,8] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,4,8] C=0 , END
</scratch>
748
| 748 |
Input:
496+742
Target:
| Input:
496+742
Target:
<scratch>
[4,9,6] has 3 digits.
[7,4,2] has 3 digits.
[4,9,6] + [7,4,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[4,9] + [7,4] , A=[8] , C=0 , 9+4+0=13 , A->3 , C->1
[4] + [7] , A=[3,8] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,3,8] C=1 , END
</scratch>
1238
| 1238 |
Input:
931+482
Target:
| Input:
931+482
Target:
<scratch>
[9,3,1] has 3 digits.
[4,8,2] has 3 digits.
[9,3,1] + [4,8,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[9,3] + [4,8] , A=[3] , C=0 , 3+8+0=11 , A->1 , C->1
[9] + [4] , A=[1,3] , C=1 , 9+4+1=14 , A->4 , C->1
[] + [] , A=[4,1,3] C=1 , END
</scratch>
1413
| 1413 |
Input:
347+473
Target:
| Input:
347+473
Target:
<scratch>
[3,4,7] has 3 digits.
[4,7,3] has 3 digits.
[3,4,7] + [4,7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[3,4] + [4,7] , A=[0] , C=1 , 4+7+1=12 , A->2 , C->1
[3] + [4] , A=[2,0] , C=1 , 3+4+1=8 , A->8 , C->0
[] + [] , A=[8,2,0] C=0 , END
</scratch>
820
| 820 |
Input:
928+679
Target:
| Input:
928+679
Target:
<scratch>
[9,2,8] has 3 digits.
[6,7,9] has 3 digits.
[9,2,8] + [6,7,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,2] + [6,7] , A=[7] , C=1 , 2+7+1=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:
651+788
Target:
| Input:
651+788
Target:
<scratch>
[6,5,1] has 3 digits.
[7,8,8] has 3 digits.
[6,5,1] + [7,8,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[6,5] + [7,8] , A=[9] , C=0 , 5+8+0=13 , A->3 , C->1
[6] + [7] , A=[3,9] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,3,9] C=1 , END
</scratch>
1439
| 1439 |
Input:
209+858
Target:
| Input:
209+858
Target:
<scratch>
[2,0,9] has 3 digits.
[8,5,8] has 3 digits.
[2,0,9] + [8,5,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[2,0] + [8,5] , A=[7] , C=1 , 0+5+1=6 , A->6 , C->0
[2] + [8] , A=[6,7] , C=0 , 2+8+0=10 , A->0 , C->1
[] + [] , A=[0,6,7] C=1 , END
</scratch>
1067
| 1067 |
Input:
95+902
Target:
| Input:
95+902
Target:
<scratch>
[9,5] has 2 digits.
[9,0,2] has 3 digits.
[9,5] + [9,0,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[9] + [9,0] , A=[7] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [9] , A=[9,7] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
965+135
Target:
| Input:
965+135
Target:
<scratch>
[9,6,5] has 3 digits.
[1,3,5] has 3 digits.
[9,6,5] + [1,3,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[9,6] + [1,3] , A=[0] , C=1 , 6+3+1=10 , A->0 , C->1
[9] + [1] , A=[0,0] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,0,0] C=1 , END
</scratch>
1100
| 1100 |
Input:
489+47
Target:
| Input:
489+47
Target:
<scratch>
[4,8,9] has 3 digits.
[4,7] has 2 digits.
[4,8,9] + [4,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[4,8] + [4] , A=[6] , C=1 , 8+4+1=13 , A->3 , C->1
[4] + [] , A=[3,6] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,3,6] C=0 , END
</scratch>
536
| 536 |
Input:
146+578
Target:
| Input:
146+578
Target:
<scratch>
[1,4,6] has 3 digits.
[5,7,8] has 3 digits.
[1,4,6] + [5,7,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[1,4] + [5,7] , A=[4] , C=1 , 4+7+1=12 , A->2 , C->1
[1] + [5] , A=[2,4] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,2,4] C=0 , END
</scratch>
724
| 724 |
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