nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
61,
48,
78,
28
] | 34 | [
"61-48=13",
"78/13=6",
"28+6=34"
] | Current State: 34:[61, 48, 78, 28], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [78, 28, 13]
Generated Node #2: [78, 28, 13] from Operation: 61-48=13
Current State: 34:[78, 28, 13], Operations: ['61-48=13']
Exploring Operation: 78/13=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 78/13=6
Current State: 34:[28, 6], Operations: ['61-48=13', '78/13=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
50,
12,
50,
2
] | 87 | [
"50+12=62",
"50/2=25",
"62+25=87"
] | Current State: 87:[50, 12, 50, 2], Operations: []
Exploring Operation: 50+12=62, Resulting Numbers: [2, 62]
Generated Node #2: [2, 62] from Operation: 50+12=62
Current State: 87:[2, 62], Operations: ['50+12=62']
Exploring Operation: 50/2=25, Resulting Numbers: [62, 25]
Generated Node #3: [62, 25] from Operation: 50/2=25
Current State: 87:[62, 25], Operations: ['50+12=62', '50/2=25']
Exploring Operation: 62+25=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
4,
47,
50,
16
] | 15 | [
"4+47=51",
"50+16=66",
"66-51=15"
] | Current State: 15:[4, 47, 50, 16], Operations: []
Exploring Operation: 4+47=51, Resulting Numbers: [50, 16, 51]
Generated Node #2: [50, 16, 51] from Operation: 4+47=51
Current State: 15:[50, 16, 51], Operations: ['4+47=51']
Exploring Operation: 50+16=66, Resulting Numbers: [51, 66]
Generated Node #3: [51, 66] from Operation: 50+16=66
Current State: 15:[51, 66], Operations: ['4+47=51', '50+16=66']
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
42,
49,
86,
60
] | 55 | [
"42+49=91",
"86+60=146",
"146-91=55"
] | Current State: 55:[42, 49, 86, 60], Operations: []
Exploring Operation: 42+49=91, Resulting Numbers: [86, 60, 91]
Generated Node #2: [86, 60, 91] from Operation: 42+49=91
Current State: 55:[86, 60, 91], Operations: ['42+49=91']
Exploring Operation: 86+60=146, Resulting Numbers: [91, 146]
Generated Node #3: [91, 146] from Operation: 86+60=146
Current State: 55:[91, 146], Operations: ['42+49=91', '86+60=146']
Exploring Operation: 146-91=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
81,
45,
24,
14
] | 33 | [
"81+45=126",
"126/14=9",
"24+9=33"
] | Current State: 33:[81, 45, 24, 14], Operations: []
Exploring Operation: 81+45=126, Resulting Numbers: [24, 14, 126]
Generated Node #2: [24, 14, 126] from Operation: 81+45=126
Current State: 33:[24, 14, 126], Operations: ['81+45=126']
Exploring Operation: 126/14=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 126/14=9
Current State: 33:[24, 9], Operations: ['81+45=126', '126/14=9']
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
12,
41,
33,
10
] | 92 | [
"41-33=8",
"10*8=80",
"12+80=92"
] | Current State: 92:[12, 41, 33, 10], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [12, 10, 8]
Generated Node #2: [12, 10, 8] from Operation: 41-33=8
Current State: 92:[12, 10, 8], Operations: ['41-33=8']
Exploring Operation: 10*8=80, Resulting Numbers: [12, 80]
Generated Node #3: [12, 80] from Operation: 10*8=80
Current State: 92:[12, 80], Operations: ['41-33=8', '10*8=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
19,
2,
41,
1
] | 59 | [
"19-2=17",
"41+1=42",
"17+42=59"
] | Current State: 59:[19, 2, 41, 1], Operations: []
Exploring Operation: 19-2=17, Resulting Numbers: [41, 1, 17]
Generated Node #2: [41, 1, 17] from Operation: 19-2=17
Current State: 59:[41, 1, 17], Operations: ['19-2=17']
Exploring Operation: 41+1=42, Resulting Numbers: [17, 42]
Generated Node #3: [17, 42] from Operation: 41+1=42
Current State: 59:[17, 42], Operations: ['19-2=17', '41+1=42']
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
80,
34,
47,
89
] | 10 | [
"34+47=81",
"89-81=8",
"80/8=10"
] | Current State: 10:[80, 34, 47, 89], Operations: []
Exploring Operation: 34+47=81, Resulting Numbers: [80, 89, 81]
Generated Node #2: [80, 89, 81] from Operation: 34+47=81
Current State: 10:[80, 89, 81], Operations: ['34+47=81']
Exploring Operation: 89-81=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 89-81=8
Current State: 10:[80, 8], Operations: ['34+47=81', '89-81=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
78,
80,
40,
87
] | 67 | [
"80-78=2",
"40/2=20",
"87-20=67"
] | Current State: 67:[78, 80, 40, 87], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [40, 87, 2]
Generated Node #2: [40, 87, 2] from Operation: 80-78=2
Current State: 67:[40, 87, 2], Operations: ['80-78=2']
Exploring Operation: 40/2=20, Resulting Numbers: [87, 20]
Generated Node #3: [87, 20] from Operation: 40/2=20
Current State: 67:[87, 20], Operations: ['80-78=2', '40/2=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
35,
40,
58,
22
] | 40 | [
"58-35=23",
"23-22=1",
"40*1=40"
] | Current State: 40:[35, 40, 58, 22], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [40, 22, 23]
Generated Node #2: [40, 22, 23] from Operation: 58-35=23
Current State: 40:[40, 22, 23], Operations: ['58-35=23']
Exploring Operation: 23-22=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 23-22=1
Current State: 40:[40, 1], Operations: ['58-35=23', '23-22=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
75,
98,
93,
69
] | 11 | [
"75+98=173",
"93+69=162",
"173-162=11"
] | Current State: 11:[75, 98, 93, 69], Operations: []
Exploring Operation: 75+98=173, Resulting Numbers: [93, 69, 173]
Generated Node #2: [93, 69, 173] from Operation: 75+98=173
Current State: 11:[93, 69, 173], Operations: ['75+98=173']
Exploring Operation: 93+69=162, Resulting Numbers: [173, 162]
Generated Node #3: [173, 162] from Operation: 93+69=162
Current State: 11:[173, 162], Operations: ['75+98=173', '93+69=162']
Exploring Operation: 173-162=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
45,
74,
12,
33
] | 48 | [
"74-45=29",
"33-29=4",
"12*4=48"
] | Current State: 48:[45, 74, 12, 33], Operations: []
Exploring Operation: 74-45=29, Resulting Numbers: [12, 33, 29]
Generated Node #2: [12, 33, 29] from Operation: 74-45=29
Current State: 48:[12, 33, 29], Operations: ['74-45=29']
Exploring Operation: 33-29=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 33-29=4
Current State: 48:[12, 4], Operations: ['74-45=29', '33-29=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
96,
1,
8,
36
] | 51 | [
"96-1=95",
"8+36=44",
"95-44=51"
] | Current State: 51:[96, 1, 8, 36], Operations: []
Exploring Operation: 96-1=95, Resulting Numbers: [8, 36, 95]
Generated Node #2: [8, 36, 95] from Operation: 96-1=95
Current State: 51:[8, 36, 95], Operations: ['96-1=95']
Exploring Operation: 8+36=44, Resulting Numbers: [95, 44]
Generated Node #3: [95, 44] from Operation: 8+36=44
Current State: 51:[95, 44], Operations: ['96-1=95', '8+36=44']
Exploring Operation: 95-44=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
32,
19,
36,
91
] | 15 | [
"36-32=4",
"19*4=76",
"91-76=15"
] | Current State: 15:[32, 19, 36, 91], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [19, 91, 4]
Generated Node #2: [19, 91, 4] from Operation: 36-32=4
Current State: 15:[19, 91, 4], Operations: ['36-32=4']
Exploring Operation: 19*4=76, Resulting Numbers: [91, 76]
Generated Node #3: [91, 76] from Operation: 19*4=76
Current State: 15:[91, 76], Operations: ['36-32=4', '19*4=76']
Exploring Operation: 91-76=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
22,
35,
45,
6
] | 52 | [
"35-22=13",
"45-6=39",
"13+39=52"
] | Current State: 52:[22, 35, 45, 6], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [45, 6, 13]
Generated Node #2: [45, 6, 13] from Operation: 35-22=13
Current State: 52:[45, 6, 13], Operations: ['35-22=13']
Exploring Operation: 45-6=39, Resulting Numbers: [13, 39]
Generated Node #3: [13, 39] from Operation: 45-6=39
Current State: 52:[13, 39], Operations: ['35-22=13', '45-6=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
19,
86,
72,
52
] | 57 | [
"86-19=67",
"72+52=124",
"124-67=57"
] | Current State: 57:[19, 86, 72, 52], Operations: []
Exploring Operation: 86-19=67, Resulting Numbers: [72, 52, 67]
Generated Node #2: [72, 52, 67] from Operation: 86-19=67
Current State: 57:[72, 52, 67], Operations: ['86-19=67']
Exploring Operation: 72+52=124, Resulting Numbers: [67, 124]
Generated Node #3: [67, 124] from Operation: 72+52=124
Current State: 57:[67, 124], Operations: ['86-19=67', '72+52=124']
Exploring Operation: 124-67=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
94,
39,
85,
83
] | 35 | [
"94+39=133",
"85+83=168",
"168-133=35"
] | Current State: 35:[94, 39, 85, 83], Operations: []
Exploring Operation: 94+39=133, Resulting Numbers: [85, 83, 133]
Generated Node #2: [85, 83, 133] from Operation: 94+39=133
Current State: 35:[85, 83, 133], Operations: ['94+39=133']
Exploring Operation: 85+83=168, Resulting Numbers: [133, 168]
Generated Node #3: [133, 168] from Operation: 85+83=168
Current State: 35:[133, 168], Operations: ['94+39=133', '85+83=168']
Exploring Operation: 168-133=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
5,
19,
3,
56
] | 47 | [
"5-3=2",
"56/2=28",
"19+28=47"
] | Current State: 47:[5, 19, 3, 56], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [19, 56, 2]
Generated Node #2: [19, 56, 2] from Operation: 5-3=2
Current State: 47:[19, 56, 2], Operations: ['5-3=2']
Exploring Operation: 56/2=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 56/2=28
Current State: 47:[19, 28], Operations: ['5-3=2', '56/2=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
67,
27,
8,
15
] | 10 | [
"67-27=40",
"40/8=5",
"15-5=10"
] | Current State: 10:[67, 27, 8, 15], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [8, 15, 40]
Generated Node #2: [8, 15, 40] from Operation: 67-27=40
Current State: 10:[8, 15, 40], Operations: ['67-27=40']
Exploring Operation: 40/8=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 40/8=5
Current State: 10:[15, 5], Operations: ['67-27=40', '40/8=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
80,
68,
90
] | 92 | [
"90/45=2",
"80*2=160",
"160-68=92"
] | Current State: 92:[45, 80, 68, 90], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [80, 68, 2]
Generated Node #2: [80, 68, 2] from Operation: 90/45=2
Current State: 92:[80, 68, 2], Operations: ['90/45=2']
Exploring Operation: 80*2=160, Resulting Numbers: [68, 160]
Generated Node #3: [68, 160] from Operation: 80*2=160
Current State: 92:[68, 160], Operations: ['90/45=2', '80*2=160']
Exploring Operation: 160-68=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
81,
35,
93,
68
] | 91 | [
"81+35=116",
"93-68=25",
"116-25=91"
] | Current State: 91:[81, 35, 93, 68], Operations: []
Exploring Operation: 81+35=116, Resulting Numbers: [93, 68, 116]
Generated Node #2: [93, 68, 116] from Operation: 81+35=116
Current State: 91:[93, 68, 116], Operations: ['81+35=116']
Exploring Operation: 93-68=25, Resulting Numbers: [116, 25]
Generated Node #3: [116, 25] from Operation: 93-68=25
Current State: 91:[116, 25], Operations: ['81+35=116', '93-68=25']
Exploring Operation: 116-25=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
8,
50,
94,
21
] | 92 | [
"50-8=42",
"42/21=2",
"94-2=92"
] | Current State: 92:[8, 50, 94, 21], Operations: []
Exploring Operation: 50-8=42, Resulting Numbers: [94, 21, 42]
Generated Node #2: [94, 21, 42] from Operation: 50-8=42
Current State: 92:[94, 21, 42], Operations: ['50-8=42']
Exploring Operation: 42/21=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 42/21=2
Current State: 92:[94, 2], Operations: ['50-8=42', '42/21=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
86,
35,
23,
4
] | 31 | [
"86+23=109",
"35*4=140",
"140-109=31"
] | Current State: 31:[86, 35, 23, 4], Operations: []
Exploring Operation: 86+23=109, Resulting Numbers: [35, 4, 109]
Generated Node #2: [35, 4, 109] from Operation: 86+23=109
Current State: 31:[35, 4, 109], Operations: ['86+23=109']
Exploring Operation: 35*4=140, Resulting Numbers: [109, 140]
Generated Node #3: [109, 140] from Operation: 35*4=140
Current State: 31:[109, 140], Operations: ['86+23=109', '35*4=140']
Exploring Operation: 140-109=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
88,
89,
20,
29
] | 48 | [
"89-88=1",
"20+29=49",
"49-1=48"
] | Current State: 48:[88, 89, 20, 29], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [20, 29, 1]
Generated Node #2: [20, 29, 1] from Operation: 89-88=1
Current State: 48:[20, 29, 1], Operations: ['89-88=1']
Exploring Operation: 20+29=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 20+29=49
Current State: 48:[1, 49], Operations: ['89-88=1', '20+29=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
63,
14,
25,
83
] | 70 | [
"63+25=88",
"88-83=5",
"14*5=70"
] | Current State: 70:[63, 14, 25, 83], Operations: []
Exploring Operation: 63+25=88, Resulting Numbers: [14, 83, 88]
Generated Node #2: [14, 83, 88] from Operation: 63+25=88
Current State: 70:[14, 83, 88], Operations: ['63+25=88']
Exploring Operation: 88-83=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 88-83=5
Current State: 70:[14, 5], Operations: ['63+25=88', '88-83=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
29,
65,
12,
68
] | 61 | [
"29-12=17",
"68/17=4",
"65-4=61"
] | Current State: 61:[29, 65, 12, 68], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [65, 68, 17]
Generated Node #2: [65, 68, 17] from Operation: 29-12=17
Current State: 61:[65, 68, 17], Operations: ['29-12=17']
Exploring Operation: 68/17=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 68/17=4
Current State: 61:[65, 4], Operations: ['29-12=17', '68/17=4']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
1,
69,
7,
80
] | 70 | [
"1+69=70",
"70/7=10",
"80-10=70"
] | Current State: 70:[1, 69, 7, 80], Operations: []
Exploring Operation: 1+69=70, Resulting Numbers: [7, 80, 70]
Generated Node #2: [7, 80, 70] from Operation: 1+69=70
Current State: 70:[7, 80, 70], Operations: ['1+69=70']
Exploring Operation: 70/7=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 70/7=10
Current State: 70:[80, 10], Operations: ['1+69=70', '70/7=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
19,
73,
24,
27
] | 48 | [
"73-19=54",
"24*54=1296",
"1296/27=48"
] | Current State: 48:[19, 73, 24, 27], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [24, 27, 54]
Generated Node #2: [24, 27, 54] from Operation: 73-19=54
Current State: 48:[24, 27, 54], Operations: ['73-19=54']
Exploring Operation: 24*54=1296, Resulting Numbers: [27, 1296]
Generated Node #3: [27, 1296] from Operation: 24*54=1296
Current State: 48:[27, 1296], Operations: ['73-19=54', '24*54=1296']
Exploring Operation: 1296/27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
99,
4,
95,
97
] | 98 | [
"99-4=95",
"95/95=1",
"97+1=98"
] | Current State: 98:[99, 4, 95, 97], Operations: []
Exploring Operation: 99-4=95, Resulting Numbers: [95, 97, 95]
Generated Node #2: [95, 97, 95] from Operation: 99-4=95
Current State: 98:[95, 97, 95], Operations: ['99-4=95']
Exploring Operation: 95/95=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 95/95=1
Current State: 98:[97, 1], Operations: ['99-4=95', '95/95=1']
Exploring Operation: 97+1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
35,
75,
15,
47
] | 60 | [
"47-35=12",
"75/15=5",
"12*5=60"
] | Current State: 60:[35, 75, 15, 47], Operations: []
Exploring Operation: 47-35=12, Resulting Numbers: [75, 15, 12]
Generated Node #2: [75, 15, 12] from Operation: 47-35=12
Current State: 60:[75, 15, 12], Operations: ['47-35=12']
Exploring Operation: 75/15=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 75/15=5
Current State: 60:[12, 5], Operations: ['47-35=12', '75/15=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
61,
75,
51,
59
] | 99 | [
"61-59=2",
"75*2=150",
"150-51=99"
] | Current State: 99:[61, 75, 51, 59], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [75, 51, 2]
Generated Node #2: [75, 51, 2] from Operation: 61-59=2
Current State: 99:[75, 51, 2], Operations: ['61-59=2']
Exploring Operation: 75*2=150, Resulting Numbers: [51, 150]
Generated Node #3: [51, 150] from Operation: 75*2=150
Current State: 99:[51, 150], Operations: ['61-59=2', '75*2=150']
Exploring Operation: 150-51=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
8,
90,
38,
21
] | 99 | [
"90-8=82",
"38-21=17",
"82+17=99"
] | Current State: 99:[8, 90, 38, 21], Operations: []
Exploring Operation: 90-8=82, Resulting Numbers: [38, 21, 82]
Generated Node #2: [38, 21, 82] from Operation: 90-8=82
Current State: 99:[38, 21, 82], Operations: ['90-8=82']
Exploring Operation: 38-21=17, Resulting Numbers: [82, 17]
Generated Node #3: [82, 17] from Operation: 38-21=17
Current State: 99:[82, 17], Operations: ['90-8=82', '38-21=17']
Exploring Operation: 82+17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
89,
18,
36,
72
] | 95 | [
"36+72=108",
"108/18=6",
"89+6=95"
] | Current State: 95:[89, 18, 36, 72], Operations: []
Exploring Operation: 36+72=108, Resulting Numbers: [89, 18, 108]
Generated Node #2: [89, 18, 108] from Operation: 36+72=108
Current State: 95:[89, 18, 108], Operations: ['36+72=108']
Exploring Operation: 108/18=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 108/18=6
Current State: 95:[89, 6], Operations: ['36+72=108', '108/18=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
47,
27,
34,
20
] | 34 | [
"47-27=20",
"34+20=54",
"54-20=34"
] | Current State: 34:[47, 27, 34, 20], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [34, 20, 20]
Generated Node #2: [34, 20, 20] from Operation: 47-27=20
Current State: 34:[34, 20, 20], Operations: ['47-27=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,34 equal: Goal Reached
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
37,
9,
18,
94
] | 66 | [
"37+9=46",
"18+94=112",
"112-46=66"
] | Current State: 66:[37, 9, 18, 94], Operations: []
Exploring Operation: 37+9=46, Resulting Numbers: [18, 94, 46]
Generated Node #2: [18, 94, 46] from Operation: 37+9=46
Current State: 66:[18, 94, 46], Operations: ['37+9=46']
Exploring Operation: 18+94=112, Resulting Numbers: [46, 112]
Generated Node #3: [46, 112] from Operation: 18+94=112
Current State: 66:[46, 112], Operations: ['37+9=46', '18+94=112']
Exploring Operation: 112-46=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
27,
14,
25,
68
] | 96 | [
"27-25=2",
"14*2=28",
"68+28=96"
] | Current State: 96:[27, 14, 25, 68], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [14, 68, 2]
Generated Node #2: [14, 68, 2] from Operation: 27-25=2
Current State: 96:[14, 68, 2], Operations: ['27-25=2']
Exploring Operation: 14*2=28, Resulting Numbers: [68, 28]
Generated Node #3: [68, 28] from Operation: 14*2=28
Current State: 96:[68, 28], Operations: ['27-25=2', '14*2=28']
Exploring Operation: 68+28=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
18,
89,
56,
73
] | 90 | [
"18+89=107",
"73-56=17",
"107-17=90"
] | Current State: 90:[18, 89, 56, 73], Operations: []
Exploring Operation: 18+89=107, Resulting Numbers: [56, 73, 107]
Generated Node #2: [56, 73, 107] from Operation: 18+89=107
Current State: 90:[56, 73, 107], Operations: ['18+89=107']
Exploring Operation: 73-56=17, Resulting Numbers: [107, 17]
Generated Node #3: [107, 17] from Operation: 73-56=17
Current State: 90:[107, 17], Operations: ['18+89=107', '73-56=17']
Exploring Operation: 107-17=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
86,
1,
29,
74
] | 77 | [
"86+1=87",
"87/29=3",
"74+3=77"
] | Current State: 77:[86, 1, 29, 74], Operations: []
Exploring Operation: 86+1=87, Resulting Numbers: [29, 74, 87]
Generated Node #2: [29, 74, 87] from Operation: 86+1=87
Current State: 77:[29, 74, 87], Operations: ['86+1=87']
Exploring Operation: 87/29=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 87/29=3
Current State: 77:[74, 3], Operations: ['86+1=87', '87/29=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
6,
12,
40,
71
] | 49 | [
"6+12=18",
"71-40=31",
"18+31=49"
] | Current State: 49:[6, 12, 40, 71], Operations: []
Exploring Operation: 6+12=18, Resulting Numbers: [40, 71, 18]
Generated Node #2: [40, 71, 18] from Operation: 6+12=18
Current State: 49:[40, 71, 18], Operations: ['6+12=18']
Exploring Operation: 71-40=31, Resulting Numbers: [18, 31]
Generated Node #3: [18, 31] from Operation: 71-40=31
Current State: 49:[18, 31], Operations: ['6+12=18', '71-40=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
9,
94,
17,
54
] | 83 | [
"54/9=6",
"94-17=77",
"6+77=83"
] | Current State: 83:[9, 94, 17, 54], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [94, 17, 6]
Generated Node #2: [94, 17, 6] from Operation: 54/9=6
Current State: 83:[94, 17, 6], Operations: ['54/9=6']
Exploring Operation: 94-17=77, Resulting Numbers: [6, 77]
Generated Node #3: [6, 77] from Operation: 94-17=77
Current State: 83:[6, 77], Operations: ['54/9=6', '94-17=77']
Exploring Operation: 6+77=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
57,
73,
8,
95
] | 39 | [
"73-8=65",
"57*65=3705",
"3705/95=39"
] | Current State: 39:[57, 73, 8, 95], Operations: []
Exploring Operation: 73-8=65, Resulting Numbers: [57, 95, 65]
Generated Node #2: [57, 95, 65] from Operation: 73-8=65
Current State: 39:[57, 95, 65], Operations: ['73-8=65']
Exploring Operation: 57*65=3705, Resulting Numbers: [95, 3705]
Generated Node #3: [95, 3705] from Operation: 57*65=3705
Current State: 39:[95, 3705], Operations: ['73-8=65', '57*65=3705']
Exploring Operation: 3705/95=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
70,
94,
37,
36
] | 91 | [
"70+94=164",
"37+36=73",
"164-73=91"
] | Current State: 91:[70, 94, 37, 36], Operations: []
Exploring Operation: 70+94=164, Resulting Numbers: [37, 36, 164]
Generated Node #2: [37, 36, 164] from Operation: 70+94=164
Current State: 91:[37, 36, 164], Operations: ['70+94=164']
Exploring Operation: 37+36=73, Resulting Numbers: [164, 73]
Generated Node #3: [164, 73] from Operation: 37+36=73
Current State: 91:[164, 73], Operations: ['70+94=164', '37+36=73']
Exploring Operation: 164-73=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
98,
47,
9
] | 33 | [
"98-27=71",
"47-9=38",
"71-38=33"
] | Current State: 33:[27, 98, 47, 9], Operations: []
Exploring Operation: 98-27=71, Resulting Numbers: [47, 9, 71]
Generated Node #2: [47, 9, 71] from Operation: 98-27=71
Current State: 33:[47, 9, 71], Operations: ['98-27=71']
Exploring Operation: 47-9=38, Resulting Numbers: [71, 38]
Generated Node #3: [71, 38] from Operation: 47-9=38
Current State: 33:[71, 38], Operations: ['98-27=71', '47-9=38']
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
27,
46,
62,
3
] | 45 | [
"27+46=73",
"62+73=135",
"135/3=45"
] | Current State: 45:[27, 46, 62, 3], Operations: []
Exploring Operation: 27+46=73, Resulting Numbers: [62, 3, 73]
Generated Node #2: [62, 3, 73] from Operation: 27+46=73
Current State: 45:[62, 3, 73], Operations: ['27+46=73']
Exploring Operation: 62+73=135, Resulting Numbers: [3, 135]
Generated Node #3: [3, 135] from Operation: 62+73=135
Current State: 45:[3, 135], Operations: ['27+46=73', '62+73=135']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
50,
57,
2,
68
] | 96 | [
"68-50=18",
"57*2=114",
"114-18=96"
] | Current State: 96:[50, 57, 2, 68], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [57, 2, 18]
Generated Node #2: [57, 2, 18] from Operation: 68-50=18
Current State: 96:[57, 2, 18], Operations: ['68-50=18']
Exploring Operation: 57*2=114, Resulting Numbers: [18, 114]
Generated Node #3: [18, 114] from Operation: 57*2=114
Current State: 96:[18, 114], Operations: ['68-50=18', '57*2=114']
Exploring Operation: 114-18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
39,
10,
72,
68
] | 53 | [
"39+10=49",
"72-68=4",
"49+4=53"
] | Current State: 53:[39, 10, 72, 68], Operations: []
Exploring Operation: 39+10=49, Resulting Numbers: [72, 68, 49]
Generated Node #2: [72, 68, 49] from Operation: 39+10=49
Current State: 53:[72, 68, 49], Operations: ['39+10=49']
Exploring Operation: 72-68=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 72-68=4
Current State: 53:[49, 4], Operations: ['39+10=49', '72-68=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
31,
72,
45,
2
] | 100 | [
"45-31=14",
"2*14=28",
"72+28=100"
] | Current State: 100:[31, 72, 45, 2], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [72, 2, 14]
Generated Node #2: [72, 2, 14] from Operation: 45-31=14
Current State: 100:[72, 2, 14], Operations: ['45-31=14']
Exploring Operation: 2*14=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 2*14=28
Current State: 100:[72, 28], Operations: ['45-31=14', '2*14=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
88,
17,
26,
83
] | 38 | [
"88-17=71",
"26+83=109",
"109-71=38"
] | Current State: 38:[88, 17, 26, 83], Operations: []
Exploring Operation: 88-17=71, Resulting Numbers: [26, 83, 71]
Generated Node #2: [26, 83, 71] from Operation: 88-17=71
Current State: 38:[26, 83, 71], Operations: ['88-17=71']
Exploring Operation: 26+83=109, Resulting Numbers: [71, 109]
Generated Node #3: [71, 109] from Operation: 26+83=109
Current State: 38:[71, 109], Operations: ['88-17=71', '26+83=109']
Exploring Operation: 109-71=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
41,
96,
11
] | 15 | [
"96-41=55",
"3*55=165",
"165/11=15"
] | Current State: 15:[3, 41, 96, 11], Operations: []
Exploring Operation: 96-41=55, Resulting Numbers: [3, 11, 55]
Generated Node #2: [3, 11, 55] from Operation: 96-41=55
Current State: 15:[3, 11, 55], Operations: ['96-41=55']
Exploring Operation: 3*55=165, Resulting Numbers: [11, 165]
Generated Node #3: [11, 165] from Operation: 3*55=165
Current State: 15:[11, 165], Operations: ['96-41=55', '3*55=165']
Exploring Operation: 165/11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
5,
45,
2,
67
] | 12 | [
"5*2=10",
"67-45=22",
"22-10=12"
] | Current State: 12:[5, 45, 2, 67], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [45, 67, 10]
Generated Node #2: [45, 67, 10] from Operation: 5*2=10
Current State: 12:[45, 67, 10], Operations: ['5*2=10']
Exploring Operation: 67-45=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 67-45=22
Current State: 12:[10, 22], Operations: ['5*2=10', '67-45=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
90,
75,
77,
50
] | 80 | [
"90-50=40",
"77-75=2",
"40*2=80"
] | Current State: 80:[90, 75, 77, 50], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [75, 77, 40]
Generated Node #2: [75, 77, 40] from Operation: 90-50=40
Current State: 80:[75, 77, 40], Operations: ['90-50=40']
Exploring Operation: 77-75=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 77-75=2
Current State: 80:[40, 2], Operations: ['90-50=40', '77-75=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
67,
77,
47,
5
] | 52 | [
"77-67=10",
"47-5=42",
"10+42=52"
] | Current State: 52:[67, 77, 47, 5], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [47, 5, 10]
Generated Node #2: [47, 5, 10] from Operation: 77-67=10
Current State: 52:[47, 5, 10], Operations: ['77-67=10']
Exploring Operation: 47-5=42, Resulting Numbers: [10, 42]
Generated Node #3: [10, 42] from Operation: 47-5=42
Current State: 52:[10, 42], Operations: ['77-67=10', '47-5=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
26,
79,
70,
7
] | 42 | [
"26+79=105",
"70-7=63",
"105-63=42"
] | Current State: 42:[26, 79, 70, 7], Operations: []
Exploring Operation: 26+79=105, Resulting Numbers: [70, 7, 105]
Generated Node #2: [70, 7, 105] from Operation: 26+79=105
Current State: 42:[70, 7, 105], Operations: ['26+79=105']
Exploring Operation: 70-7=63, Resulting Numbers: [105, 63]
Generated Node #3: [105, 63] from Operation: 70-7=63
Current State: 42:[105, 63], Operations: ['26+79=105', '70-7=63']
Exploring Operation: 105-63=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
23,
24,
97
] | 100 | [
"3+97=100",
"24-23=1",
"100*1=100"
] | Current State: 100:[3, 23, 24, 97], Operations: []
Exploring Operation: 3+97=100, Resulting Numbers: [23, 24, 100]
Generated Node #2: [23, 24, 100] from Operation: 3+97=100
Current State: 100:[23, 24, 100], Operations: ['3+97=100']
Exploring Operation: 24-23=1, Resulting Numbers: [100, 1]
Generated Node #3: [100, 1] from Operation: 24-23=1
Current State: 100:[100, 1], Operations: ['3+97=100', '24-23=1']
Exploring Operation: 100*1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
37,
38,
36,
14
] | 97 | [
"37+38=75",
"36-14=22",
"75+22=97"
] | Current State: 97:[37, 38, 36, 14], Operations: []
Exploring Operation: 37+38=75, Resulting Numbers: [36, 14, 75]
Generated Node #2: [36, 14, 75] from Operation: 37+38=75
Current State: 97:[36, 14, 75], Operations: ['37+38=75']
Exploring Operation: 36-14=22, Resulting Numbers: [75, 22]
Generated Node #3: [75, 22] from Operation: 36-14=22
Current State: 97:[75, 22], Operations: ['37+38=75', '36-14=22']
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
77,
42,
75
] | 88 | [
"75-42=33",
"33/3=11",
"77+11=88"
] | Current State: 88:[3, 77, 42, 75], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [3, 77, 33]
Generated Node #2: [3, 77, 33] from Operation: 75-42=33
Current State: 88:[3, 77, 33], Operations: ['75-42=33']
Exploring Operation: 33/3=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 33/3=11
Current State: 88:[77, 11], Operations: ['75-42=33', '33/3=11']
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
7,
48,
56,
89
] | 28 | [
"7+89=96",
"48*56=2688",
"2688/96=28"
] | Current State: 28:[7, 48, 56, 89], Operations: []
Exploring Operation: 7+89=96, Resulting Numbers: [48, 56, 96]
Generated Node #2: [48, 56, 96] from Operation: 7+89=96
Current State: 28:[48, 56, 96], Operations: ['7+89=96']
Exploring Operation: 48*56=2688, Resulting Numbers: [96, 2688]
Generated Node #3: [96, 2688] from Operation: 48*56=2688
Current State: 28:[96, 2688], Operations: ['7+89=96', '48*56=2688']
Exploring Operation: 2688/96=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
57,
40,
13,
79
] | 75 | [
"57-40=17",
"13+79=92",
"92-17=75"
] | Current State: 75:[57, 40, 13, 79], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [13, 79, 17]
Generated Node #2: [13, 79, 17] from Operation: 57-40=17
Current State: 75:[13, 79, 17], Operations: ['57-40=17']
Exploring Operation: 13+79=92, Resulting Numbers: [17, 92]
Generated Node #3: [17, 92] from Operation: 13+79=92
Current State: 75:[17, 92], Operations: ['57-40=17', '13+79=92']
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
69,
44,
94
] | 59 | [
"94-44=50",
"50/5=10",
"69-10=59"
] | Current State: 59:[5, 69, 44, 94], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [5, 69, 50]
Generated Node #2: [5, 69, 50] from Operation: 94-44=50
Current State: 59:[5, 69, 50], Operations: ['94-44=50']
Exploring Operation: 50/5=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 50/5=10
Current State: 59:[69, 10], Operations: ['94-44=50', '50/5=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
32,
78,
95
] | 29 | [
"78-32=46",
"95-78=17",
"46-17=29"
] | Current State: 29:[78, 32, 78, 95], Operations: []
Exploring Operation: 78-32=46, Resulting Numbers: [95, 46]
Generated Node #2: [95, 46] from Operation: 78-32=46
Current State: 29:[95, 46], Operations: ['78-32=46']
Exploring Operation: 95-78=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 95-78=17
Current State: 29:[46, 17], Operations: ['78-32=46', '95-78=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
10,
5,
69,
95
] | 98 | [
"10+69=79",
"95/5=19",
"79+19=98"
] | Current State: 98:[10, 5, 69, 95], Operations: []
Exploring Operation: 10+69=79, Resulting Numbers: [5, 95, 79]
Generated Node #2: [5, 95, 79] from Operation: 10+69=79
Current State: 98:[5, 95, 79], Operations: ['10+69=79']
Exploring Operation: 95/5=19, Resulting Numbers: [79, 19]
Generated Node #3: [79, 19] from Operation: 95/5=19
Current State: 98:[79, 19], Operations: ['10+69=79', '95/5=19']
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
95,
8,
12,
4
] | 89 | [
"8/4=2",
"12/2=6",
"95-6=89"
] | Current State: 89:[95, 8, 12, 4], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [95, 12, 2]
Generated Node #2: [95, 12, 2] from Operation: 8/4=2
Current State: 89:[95, 12, 2], Operations: ['8/4=2']
Exploring Operation: 12/2=6, Resulting Numbers: [95, 6]
Generated Node #3: [95, 6] from Operation: 12/2=6
Current State: 89:[95, 6], Operations: ['8/4=2', '12/2=6']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
83,
37,
77,
42
] | 85 | [
"83+37=120",
"77-42=35",
"120-35=85"
] | Current State: 85:[83, 37, 77, 42], Operations: []
Exploring Operation: 83+37=120, Resulting Numbers: [77, 42, 120]
Generated Node #2: [77, 42, 120] from Operation: 83+37=120
Current State: 85:[77, 42, 120], Operations: ['83+37=120']
Exploring Operation: 77-42=35, Resulting Numbers: [120, 35]
Generated Node #3: [120, 35] from Operation: 77-42=35
Current State: 85:[120, 35], Operations: ['83+37=120', '77-42=35']
Exploring Operation: 120-35=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
45,
61,
15,
42
] | 73 | [
"61-45=16",
"15+42=57",
"16+57=73"
] | Current State: 73:[45, 61, 15, 42], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [15, 42, 16]
Generated Node #2: [15, 42, 16] from Operation: 61-45=16
Current State: 73:[15, 42, 16], Operations: ['61-45=16']
Exploring Operation: 15+42=57, Resulting Numbers: [16, 57]
Generated Node #3: [16, 57] from Operation: 15+42=57
Current State: 73:[16, 57], Operations: ['61-45=16', '15+42=57']
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
62,
12,
8,
65
] | 72 | [
"62+12=74",
"74-65=9",
"8*9=72"
] | Current State: 72:[62, 12, 8, 65], Operations: []
Exploring Operation: 62+12=74, Resulting Numbers: [8, 65, 74]
Generated Node #2: [8, 65, 74] from Operation: 62+12=74
Current State: 72:[8, 65, 74], Operations: ['62+12=74']
Exploring Operation: 74-65=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 74-65=9
Current State: 72:[8, 9], Operations: ['62+12=74', '74-65=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
21,
88,
16,
44
] | 95 | [
"88-21=67",
"44-16=28",
"67+28=95"
] | Current State: 95:[21, 88, 16, 44], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [16, 44, 67]
Generated Node #2: [16, 44, 67] from Operation: 88-21=67
Current State: 95:[16, 44, 67], Operations: ['88-21=67']
Exploring Operation: 44-16=28, Resulting Numbers: [67, 28]
Generated Node #3: [67, 28] from Operation: 44-16=28
Current State: 95:[67, 28], Operations: ['88-21=67', '44-16=28']
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
67,
47,
68,
63
] | 84 | [
"67-63=4",
"68-47=21",
"4*21=84"
] | Current State: 84:[67, 47, 68, 63], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [47, 68, 4]
Generated Node #2: [47, 68, 4] from Operation: 67-63=4
Current State: 84:[47, 68, 4], Operations: ['67-63=4']
Exploring Operation: 68-47=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 68-47=21
Current State: 84:[4, 21], Operations: ['67-63=4', '68-47=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
12,
63,
60
] | 63 | [
"5*12=60",
"63+60=123",
"123-60=63"
] | Current State: 63:[5, 12, 63, 60], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [63, 60, 60]
Generated Node #2: [63, 60, 60] from Operation: 5*12=60
Current State: 63:[63, 60, 60], Operations: ['5*12=60']
Exploring Operation: 63+60=123, Resulting Numbers: [123]
123,63 equal: Goal Reached
Exploring Operation: 123-60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
69,
91,
57,
72
] | 66 | [
"91-72=19",
"57/19=3",
"69-3=66"
] | Current State: 66:[69, 91, 57, 72], Operations: []
Exploring Operation: 91-72=19, Resulting Numbers: [69, 57, 19]
Generated Node #2: [69, 57, 19] from Operation: 91-72=19
Current State: 66:[69, 57, 19], Operations: ['91-72=19']
Exploring Operation: 57/19=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 57/19=3
Current State: 66:[69, 3], Operations: ['91-72=19', '57/19=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
65,
60,
33,
76
] | 16 | [
"65+60=125",
"33+76=109",
"125-109=16"
] | Current State: 16:[65, 60, 33, 76], Operations: []
Exploring Operation: 65+60=125, Resulting Numbers: [33, 76, 125]
Generated Node #2: [33, 76, 125] from Operation: 65+60=125
Current State: 16:[33, 76, 125], Operations: ['65+60=125']
Exploring Operation: 33+76=109, Resulting Numbers: [125, 109]
Generated Node #3: [125, 109] from Operation: 33+76=109
Current State: 16:[125, 109], Operations: ['65+60=125', '33+76=109']
Exploring Operation: 125-109=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
1,
46,
64,
66
] | 23 | [
"1*46=46",
"66-64=2",
"46/2=23"
] | Current State: 23:[1, 46, 64, 66], Operations: []
Exploring Operation: 1*46=46, Resulting Numbers: [64, 66, 46]
Generated Node #2: [64, 66, 46] from Operation: 1*46=46
Current State: 23:[64, 66, 46], Operations: ['1*46=46']
Exploring Operation: 66-64=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 66-64=2
Current State: 23:[46, 2], Operations: ['1*46=46', '66-64=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
26,
49,
27
] | 66 | [
"27/3=9",
"26+49=75",
"75-9=66"
] | Current State: 66:[3, 26, 49, 27], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [26, 49, 9]
Generated Node #2: [26, 49, 9] from Operation: 27/3=9
Current State: 66:[26, 49, 9], Operations: ['27/3=9']
Exploring Operation: 26+49=75, Resulting Numbers: [9, 75]
Generated Node #3: [9, 75] from Operation: 26+49=75
Current State: 66:[9, 75], Operations: ['27/3=9', '26+49=75']
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
94,
2,
44,
34
] | 66 | [
"94-44=50",
"2*50=100",
"100-34=66"
] | Current State: 66:[94, 2, 44, 34], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [2, 34, 50]
Generated Node #2: [2, 34, 50] from Operation: 94-44=50
Current State: 66:[2, 34, 50], Operations: ['94-44=50']
Exploring Operation: 2*50=100, Resulting Numbers: [34, 100]
Generated Node #3: [34, 100] from Operation: 2*50=100
Current State: 66:[34, 100], Operations: ['94-44=50', '2*50=100']
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
48,
25,
49,
19
] | 91 | [
"48-25=23",
"49+19=68",
"23+68=91"
] | Current State: 91:[48, 25, 49, 19], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [49, 19, 23]
Generated Node #2: [49, 19, 23] from Operation: 48-25=23
Current State: 91:[49, 19, 23], Operations: ['48-25=23']
Exploring Operation: 49+19=68, Resulting Numbers: [23, 68]
Generated Node #3: [23, 68] from Operation: 49+19=68
Current State: 91:[23, 68], Operations: ['48-25=23', '49+19=68']
Exploring Operation: 23+68=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
83,
28,
40,
56
] | 15 | [
"83+28=111",
"40+56=96",
"111-96=15"
] | Current State: 15:[83, 28, 40, 56], Operations: []
Exploring Operation: 83+28=111, Resulting Numbers: [40, 56, 111]
Generated Node #2: [40, 56, 111] from Operation: 83+28=111
Current State: 15:[40, 56, 111], Operations: ['83+28=111']
Exploring Operation: 40+56=96, Resulting Numbers: [111, 96]
Generated Node #3: [111, 96] from Operation: 40+56=96
Current State: 15:[111, 96], Operations: ['83+28=111', '40+56=96']
Exploring Operation: 111-96=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
27,
79,
2,
9
] | 16 | [
"27*2=54",
"79-9=70",
"70-54=16"
] | Current State: 16:[27, 79, 2, 9], Operations: []
Exploring Operation: 27*2=54, Resulting Numbers: [79, 9, 54]
Generated Node #2: [79, 9, 54] from Operation: 27*2=54
Current State: 16:[79, 9, 54], Operations: ['27*2=54']
Exploring Operation: 79-9=70, Resulting Numbers: [54, 70]
Generated Node #3: [54, 70] from Operation: 79-9=70
Current State: 16:[54, 70], Operations: ['27*2=54', '79-9=70']
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
34,
4,
30,
17
] | 98 | [
"34-17=17",
"4*17=68",
"30+68=98"
] | Current State: 98:[34, 4, 30, 17], Operations: []
Exploring Operation: 34-17=17, Resulting Numbers: [4, 30, 17]
Generated Node #2: [4, 30, 17] from Operation: 34-17=17
Current State: 98:[4, 30, 17], Operations: ['34-17=17']
Exploring Operation: 4*17=68, Resulting Numbers: [30, 68]
Generated Node #3: [30, 68] from Operation: 4*17=68
Current State: 98:[30, 68], Operations: ['34-17=17', '4*17=68']
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
23,
66,
46,
37
] | 98 | [
"23+66=89",
"46-37=9",
"89+9=98"
] | Current State: 98:[23, 66, 46, 37], Operations: []
Exploring Operation: 23+66=89, Resulting Numbers: [46, 37, 89]
Generated Node #2: [46, 37, 89] from Operation: 23+66=89
Current State: 98:[46, 37, 89], Operations: ['23+66=89']
Exploring Operation: 46-37=9, Resulting Numbers: [89, 9]
Generated Node #3: [89, 9] from Operation: 46-37=9
Current State: 98:[89, 9], Operations: ['23+66=89', '46-37=9']
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
71,
66,
46,
74
] | 23 | [
"71-66=5",
"74-46=28",
"28-5=23"
] | Current State: 23:[71, 66, 46, 74], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [46, 74, 5]
Generated Node #2: [46, 74, 5] from Operation: 71-66=5
Current State: 23:[46, 74, 5], Operations: ['71-66=5']
Exploring Operation: 74-46=28, Resulting Numbers: [5, 28]
Generated Node #3: [5, 28] from Operation: 74-46=28
Current State: 23:[5, 28], Operations: ['71-66=5', '74-46=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
58,
10,
59,
53
] | 62 | [
"58+10=68",
"59-53=6",
"68-6=62"
] | Current State: 62:[58, 10, 59, 53], Operations: []
Exploring Operation: 58+10=68, Resulting Numbers: [59, 53, 68]
Generated Node #2: [59, 53, 68] from Operation: 58+10=68
Current State: 62:[59, 53, 68], Operations: ['58+10=68']
Exploring Operation: 59-53=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 59-53=6
Current State: 62:[68, 6], Operations: ['58+10=68', '59-53=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
87,
98,
40,
62
] | 11 | [
"98-87=11",
"62-40=22",
"22-11=11"
] | Current State: 11:[87, 98, 40, 62], Operations: []
Exploring Operation: 98-87=11, Resulting Numbers: [40, 62, 11]
Generated Node #2: [40, 62, 11] from Operation: 98-87=11
Current State: 11:[40, 62, 11], Operations: ['98-87=11']
Exploring Operation: 62-40=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 62-40=22
Current State: 11:[11, 22], Operations: ['98-87=11', '62-40=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
32,
1,
47,
65
] | 50 | [
"32*1=32",
"65-47=18",
"32+18=50"
] | Current State: 50:[32, 1, 47, 65], Operations: []
Exploring Operation: 32*1=32, Resulting Numbers: [47, 65, 32]
Generated Node #2: [47, 65, 32] from Operation: 32*1=32
Current State: 50:[47, 65, 32], Operations: ['32*1=32']
Exploring Operation: 65-47=18, Resulting Numbers: [32, 18]
Generated Node #3: [32, 18] from Operation: 65-47=18
Current State: 50:[32, 18], Operations: ['32*1=32', '65-47=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
23,
50,
86,
70
] | 83 | [
"23+50=73",
"86+70=156",
"156-73=83"
] | Current State: 83:[23, 50, 86, 70], Operations: []
Exploring Operation: 23+50=73, Resulting Numbers: [86, 70, 73]
Generated Node #2: [86, 70, 73] from Operation: 23+50=73
Current State: 83:[86, 70, 73], Operations: ['23+50=73']
Exploring Operation: 86+70=156, Resulting Numbers: [73, 156]
Generated Node #3: [73, 156] from Operation: 86+70=156
Current State: 83:[73, 156], Operations: ['23+50=73', '86+70=156']
Exploring Operation: 156-73=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
82,
15,
52,
38
] | 83 | [
"82+15=97",
"52-38=14",
"97-14=83"
] | Current State: 83:[82, 15, 52, 38], Operations: []
Exploring Operation: 82+15=97, Resulting Numbers: [52, 38, 97]
Generated Node #2: [52, 38, 97] from Operation: 82+15=97
Current State: 83:[52, 38, 97], Operations: ['82+15=97']
Exploring Operation: 52-38=14, Resulting Numbers: [97, 14]
Generated Node #3: [97, 14] from Operation: 52-38=14
Current State: 83:[97, 14], Operations: ['82+15=97', '52-38=14']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
41,
83,
3,
99
] | 19 | [
"83-41=42",
"99-42=57",
"57/3=19"
] | Current State: 19:[41, 83, 3, 99], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [3, 99, 42]
Generated Node #2: [3, 99, 42] from Operation: 83-41=42
Current State: 19:[3, 99, 42], Operations: ['83-41=42']
Exploring Operation: 99-42=57, Resulting Numbers: [3, 57]
Generated Node #3: [3, 57] from Operation: 99-42=57
Current State: 19:[3, 57], Operations: ['83-41=42', '99-42=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
69,
29,
6,
51
] | 17 | [
"69-29=40",
"6+51=57",
"57-40=17"
] | Current State: 17:[69, 29, 6, 51], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [6, 51, 40]
Generated Node #2: [6, 51, 40] from Operation: 69-29=40
Current State: 17:[6, 51, 40], Operations: ['69-29=40']
Exploring Operation: 6+51=57, Resulting Numbers: [40, 57]
Generated Node #3: [40, 57] from Operation: 6+51=57
Current State: 17:[40, 57], Operations: ['69-29=40', '6+51=57']
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
73,
77,
11,
78
] | 84 | [
"73+11=84",
"78-77=1",
"84*1=84"
] | Current State: 84:[73, 77, 11, 78], Operations: []
Exploring Operation: 73+11=84, Resulting Numbers: [77, 78, 84]
Generated Node #2: [77, 78, 84] from Operation: 73+11=84
Current State: 84:[77, 78, 84], Operations: ['73+11=84']
Exploring Operation: 78-77=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 78-77=1
Current State: 84:[84, 1], Operations: ['73+11=84', '78-77=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
84,
55,
18,
61
] | 11 | [
"84-18=66",
"61-55=6",
"66/6=11"
] | Current State: 11:[84, 55, 18, 61], Operations: []
Exploring Operation: 84-18=66, Resulting Numbers: [55, 61, 66]
Generated Node #2: [55, 61, 66] from Operation: 84-18=66
Current State: 11:[55, 61, 66], Operations: ['84-18=66']
Exploring Operation: 61-55=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 61-55=6
Current State: 11:[66, 6], Operations: ['84-18=66', '61-55=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
17,
24,
24,
41
] | 57 | [
"17+41=58",
"24/24=1",
"58-1=57"
] | Current State: 57:[17, 24, 24, 41], Operations: []
Exploring Operation: 17+41=58, Resulting Numbers: [24, 24, 58]
Generated Node #2: [24, 24, 58] from Operation: 17+41=58
Current State: 57:[24, 24, 58], Operations: ['17+41=58']
Exploring Operation: 24/24=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 24/24=1
Current State: 57:[58, 1], Operations: ['17+41=58', '24/24=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
62,
31,
22,
12
] | 62 | [
"62*12=744",
"31*22=682",
"744-682=62"
] | Current State: 62:[62, 31, 22, 12], Operations: []
Exploring Operation: 62*12=744, Resulting Numbers: [31, 22, 744]
Generated Node #2: [31, 22, 744] from Operation: 62*12=744
Current State: 62:[31, 22, 744], Operations: ['62*12=744']
Exploring Operation: 31*22=682, Resulting Numbers: [744, 682]
Generated Node #3: [744, 682] from Operation: 31*22=682
Current State: 62:[744, 682], Operations: ['62*12=744', '31*22=682']
Exploring Operation: 744-682=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
44,
52,
39,
45
] | 43 | [
"44-39=5",
"45/5=9",
"52-9=43"
] | Current State: 43:[44, 52, 39, 45], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [52, 45, 5]
Generated Node #2: [52, 45, 5] from Operation: 44-39=5
Current State: 43:[52, 45, 5], Operations: ['44-39=5']
Exploring Operation: 45/5=9, Resulting Numbers: [52, 9]
Generated Node #3: [52, 9] from Operation: 45/5=9
Current State: 43:[52, 9], Operations: ['44-39=5', '45/5=9']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
31,
2,
52
] | 75 | [
"31-6=25",
"52-2=50",
"25+50=75"
] | Current State: 75:[6, 31, 2, 52], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [2, 52, 25]
Generated Node #2: [2, 52, 25] from Operation: 31-6=25
Current State: 75:[2, 52, 25], Operations: ['31-6=25']
Exploring Operation: 52-2=50, Resulting Numbers: [25, 50]
Generated Node #3: [25, 50] from Operation: 52-2=50
Current State: 75:[25, 50], Operations: ['31-6=25', '52-2=50']
Exploring Operation: 25+50=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
75,
62,
80,
48
] | 63 | [
"75*80=6000",
"6000/48=125",
"125-62=63"
] | Current State: 63:[75, 62, 80, 48], Operations: []
Exploring Operation: 75*80=6000, Resulting Numbers: [62, 48, 6000]
Generated Node #2: [62, 48, 6000] from Operation: 75*80=6000
Current State: 63:[62, 48, 6000], Operations: ['75*80=6000']
Exploring Operation: 6000/48=125, Resulting Numbers: [62, 125]
Generated Node #3: [62, 125] from Operation: 6000/48=125
Current State: 63:[62, 125], Operations: ['75*80=6000', '6000/48=125']
Exploring Operation: 125-62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
24,
77,
52,
84
] | 74 | [
"24*77=1848",
"1848/84=22",
"52+22=74"
] | Current State: 74:[24, 77, 52, 84], Operations: []
Exploring Operation: 24*77=1848, Resulting Numbers: [52, 84, 1848]
Generated Node #2: [52, 84, 1848] from Operation: 24*77=1848
Current State: 74:[52, 84, 1848], Operations: ['24*77=1848']
Exploring Operation: 1848/84=22, Resulting Numbers: [52, 22]
Generated Node #3: [52, 22] from Operation: 1848/84=22
Current State: 74:[52, 22], Operations: ['24*77=1848', '1848/84=22']
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
79,
34,
33,
30
] | 50 | [
"79+34=113",
"33+30=63",
"113-63=50"
] | Current State: 50:[79, 34, 33, 30], Operations: []
Exploring Operation: 79+34=113, Resulting Numbers: [33, 30, 113]
Generated Node #2: [33, 30, 113] from Operation: 79+34=113
Current State: 50:[33, 30, 113], Operations: ['79+34=113']
Exploring Operation: 33+30=63, Resulting Numbers: [113, 63]
Generated Node #3: [113, 63] from Operation: 33+30=63
Current State: 50:[113, 63], Operations: ['79+34=113', '33+30=63']
Exploring Operation: 113-63=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
74,
37,
19,
56
] | 75 | [
"37+19=56",
"56/56=1",
"74+1=75"
] | Current State: 75:[74, 37, 19, 56], Operations: []
Exploring Operation: 37+19=56, Resulting Numbers: [74, 56, 56]
Generated Node #2: [74, 56, 56] from Operation: 37+19=56
Current State: 75:[74, 56, 56], Operations: ['37+19=56']
Exploring Operation: 56/56=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 56/56=1
Current State: 75:[74, 1], Operations: ['37+19=56', '56/56=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
86,
2,
58
] | 59 | [
"58-4=54",
"54/2=27",
"86-27=59"
] | Current State: 59:[4, 86, 2, 58], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [86, 2, 54]
Generated Node #2: [86, 2, 54] from Operation: 58-4=54
Current State: 59:[86, 2, 54], Operations: ['58-4=54']
Exploring Operation: 54/2=27, Resulting Numbers: [86, 27]
Generated Node #3: [86, 27] from Operation: 54/2=27
Current State: 59:[86, 27], Operations: ['58-4=54', '54/2=27']
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
80,
1,
88,
13
] | 14 | [
"80+88=168",
"13-1=12",
"168/12=14"
] | Current State: 14:[80, 1, 88, 13], Operations: []
Exploring Operation: 80+88=168, Resulting Numbers: [1, 13, 168]
Generated Node #2: [1, 13, 168] from Operation: 80+88=168
Current State: 14:[1, 13, 168], Operations: ['80+88=168']
Exploring Operation: 13-1=12, Resulting Numbers: [168, 12]
Generated Node #3: [168, 12] from Operation: 13-1=12
Current State: 14:[168, 12], Operations: ['80+88=168', '13-1=12']
Exploring Operation: 168/12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
78,
35,
31,
74
] | 81 | [
"31+74=105",
"105/35=3",
"78+3=81"
] | Current State: 81:[78, 35, 31, 74], Operations: []
Exploring Operation: 31+74=105, Resulting Numbers: [78, 35, 105]
Generated Node #2: [78, 35, 105] from Operation: 31+74=105
Current State: 81:[78, 35, 105], Operations: ['31+74=105']
Exploring Operation: 105/35=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 105/35=3
Current State: 81:[78, 3], Operations: ['31+74=105', '105/35=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
15,
40,
88
] | 11 | [
"37+40=77",
"88+77=165",
"165/15=11"
] | Current State: 11:[37, 15, 40, 88], Operations: []
Exploring Operation: 37+40=77, Resulting Numbers: [15, 88, 77]
Generated Node #2: [15, 88, 77] from Operation: 37+40=77
Current State: 11:[15, 88, 77], Operations: ['37+40=77']
Exploring Operation: 88+77=165, Resulting Numbers: [15, 165]
Generated Node #3: [15, 165] from Operation: 88+77=165
Current State: 11:[15, 165], Operations: ['37+40=77', '88+77=165']
Exploring Operation: 165/15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
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