nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
46,
24,
87,
93
] | 42 | [
"93-87=6",
"24/6=4",
"46-4=42"
] | Current State: 42:[46, 24, 87, 93], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [46, 24, 6]
Generated Node #2: [46, 24, 6] from Operation: 93-87=6
Current State: 42:[46, 24, 6], Operations: ['93-87=6']
Exploring Operation: 24/6=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 24/6=4
Current State: 42:[46, 4], Operations: ['93-87=6', '24/6=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
52,
5,
80,
5
] | 36 | [
"52*5=260",
"260-80=180",
"180/5=36"
] | Current State: 36:[52, 5, 80, 5], Operations: []
Exploring Operation: 52*5=260, Resulting Numbers: [80, 260]
Generated Node #2: [80, 260] from Operation: 52*5=260
Current State: 36:[80, 260], Operations: ['52*5=260']
Exploring Operation: 260-80=180, Resulting Numbers: [180]
180,36 equal: Goal Reached
Exploring Operation: 180/5=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
72,
45,
24,
10
] | 58 | [
"72/24=3",
"45+10=55",
"3+55=58"
] | Current State: 58:[72, 45, 24, 10], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [45, 10, 3]
Generated Node #2: [45, 10, 3] from Operation: 72/24=3
Current State: 58:[45, 10, 3], Operations: ['72/24=3']
Exploring Operation: 45+10=55, Resulting Numbers: [3, 55]
Generated Node #3: [3, 55] from Operation: 45+10=55
Current State: 58:[3, 55], Operations: ['72/24=3', '45+10=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
4,
30,
1,
45
] | 60 | [
"4*1=4",
"45-30=15",
"4*15=60"
] | Current State: 60:[4, 30, 1, 45], Operations: []
Exploring Operation: 4*1=4, Resulting Numbers: [30, 45, 4]
Generated Node #2: [30, 45, 4] from Operation: 4*1=4
Current State: 60:[30, 45, 4], Operations: ['4*1=4']
Exploring Operation: 45-30=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 45-30=15
Current State: 60:[4, 15], Operations: ['4*1=4', '45-30=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
10,
34,
71,
44
] | 29 | [
"44-34=10",
"10*10=100",
"100-71=29"
] | Current State: 29:[10, 34, 71, 44], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [10, 71, 10]
Generated Node #2: [10, 71, 10] from Operation: 44-34=10
Current State: 29:[10, 71, 10], Operations: ['44-34=10']
Exploring Operation: 10*10=100, Resulting Numbers: [71, 100]
Generated Node #3: [71, 100] from Operation: 10*10=100
Current State: 29:[71, 100], Operations: ['44-34=10', '10*10=100']
Exploring Operation: 100-71=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
50,
9,
47,
94
] | 57 | [
"50+9=59",
"94/47=2",
"59-2=57"
] | Current State: 57:[50, 9, 47, 94], Operations: []
Exploring Operation: 50+9=59, Resulting Numbers: [47, 94, 59]
Generated Node #2: [47, 94, 59] from Operation: 50+9=59
Current State: 57:[47, 94, 59], Operations: ['50+9=59']
Exploring Operation: 94/47=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 94/47=2
Current State: 57:[59, 2], Operations: ['50+9=59', '94/47=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
20,
75,
10,
55
] | 70 | [
"20*10=200",
"75+55=130",
"200-130=70"
] | Current State: 70:[20, 75, 10, 55], Operations: []
Exploring Operation: 20*10=200, Resulting Numbers: [75, 55, 200]
Generated Node #2: [75, 55, 200] from Operation: 20*10=200
Current State: 70:[75, 55, 200], Operations: ['20*10=200']
Exploring Operation: 75+55=130, Resulting Numbers: [200, 130]
Generated Node #3: [200, 130] from Operation: 75+55=130
Current State: 70:[200, 130], Operations: ['20*10=200', '75+55=130']
Exploring Operation: 200-130=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
7,
20,
8
] | 26 | [
"7+7=14",
"20-8=12",
"14+12=26"
] | Current State: 26:[7, 7, 20, 8], Operations: []
Exploring Operation: 7+7=14, Resulting Numbers: [20, 8, 14]
Generated Node #2: [20, 8, 14] from Operation: 7+7=14
Current State: 26:[20, 8, 14], Operations: ['7+7=14']
Exploring Operation: 20-8=12, Resulting Numbers: [14, 12]
Generated Node #3: [14, 12] from Operation: 20-8=12
Current State: 26:[14, 12], Operations: ['7+7=14', '20-8=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
34,
40,
94,
64
] | 24 | [
"40-34=6",
"94-64=30",
"30-6=24"
] | Current State: 24:[34, 40, 94, 64], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [94, 64, 6]
Generated Node #2: [94, 64, 6] from Operation: 40-34=6
Current State: 24:[94, 64, 6], Operations: ['40-34=6']
Exploring Operation: 94-64=30, Resulting Numbers: [6, 30]
Generated Node #3: [6, 30] from Operation: 94-64=30
Current State: 24:[6, 30], Operations: ['40-34=6', '94-64=30']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
26,
76,
38,
13
] | 37 | [
"26+13=39",
"76/38=2",
"39-2=37"
] | Current State: 37:[26, 76, 38, 13], Operations: []
Exploring Operation: 26+13=39, Resulting Numbers: [76, 38, 39]
Generated Node #2: [76, 38, 39] from Operation: 26+13=39
Current State: 37:[76, 38, 39], Operations: ['26+13=39']
Exploring Operation: 76/38=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 76/38=2
Current State: 37:[39, 2], Operations: ['26+13=39', '76/38=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
49,
47,
16,
4
] | 24 | [
"49+47=96",
"16/4=4",
"96/4=24"
] | Current State: 24:[49, 47, 16, 4], Operations: []
Exploring Operation: 49+47=96, Resulting Numbers: [16, 4, 96]
Generated Node #2: [16, 4, 96] from Operation: 49+47=96
Current State: 24:[16, 4, 96], Operations: ['49+47=96']
Exploring Operation: 16/4=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 16/4=4
Current State: 24:[96, 4], Operations: ['49+47=96', '16/4=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
70,
22,
44
] | 20 | [
"70/7=10",
"44/22=2",
"10*2=20"
] | Current State: 20:[7, 70, 22, 44], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [22, 44, 10]
Generated Node #2: [22, 44, 10] from Operation: 70/7=10
Current State: 20:[22, 44, 10], Operations: ['70/7=10']
Exploring Operation: 44/22=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 44/22=2
Current State: 20:[10, 2], Operations: ['70/7=10', '44/22=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
49,
45,
68,
50
] | 22 | [
"49-45=4",
"68-50=18",
"4+18=22"
] | Current State: 22:[49, 45, 68, 50], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [68, 50, 4]
Generated Node #2: [68, 50, 4] from Operation: 49-45=4
Current State: 22:[68, 50, 4], Operations: ['49-45=4']
Exploring Operation: 68-50=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 68-50=18
Current State: 22:[4, 18], Operations: ['49-45=4', '68-50=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
57,
23,
4
] | 51 | [
"23-4=19",
"57/19=3",
"54-3=51"
] | Current State: 51:[54, 57, 23, 4], Operations: []
Exploring Operation: 23-4=19, Resulting Numbers: [54, 57, 19]
Generated Node #2: [54, 57, 19] from Operation: 23-4=19
Current State: 51:[54, 57, 19], Operations: ['23-4=19']
Exploring Operation: 57/19=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 57/19=3
Current State: 51:[54, 3], Operations: ['23-4=19', '57/19=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
47,
69,
94,
81
] | 35 | [
"69-47=22",
"94-81=13",
"22+13=35"
] | Current State: 35:[47, 69, 94, 81], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [94, 81, 22]
Generated Node #2: [94, 81, 22] from Operation: 69-47=22
Current State: 35:[94, 81, 22], Operations: ['69-47=22']
Exploring Operation: 94-81=13, Resulting Numbers: [22, 13]
Generated Node #3: [22, 13] from Operation: 94-81=13
Current State: 35:[22, 13], Operations: ['69-47=22', '94-81=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
25,
36,
87
] | 75 | [
"65-36=29",
"25*87=2175",
"2175/29=75"
] | Current State: 75:[65, 25, 36, 87], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [25, 87, 29]
Generated Node #2: [25, 87, 29] from Operation: 65-36=29
Current State: 75:[25, 87, 29], Operations: ['65-36=29']
Exploring Operation: 25*87=2175, Resulting Numbers: [29, 2175]
Generated Node #3: [29, 2175] from Operation: 25*87=2175
Current State: 75:[29, 2175], Operations: ['65-36=29', '25*87=2175']
Exploring Operation: 2175/29=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
86,
46,
20
] | 75 | [
"15+86=101",
"46-20=26",
"101-26=75"
] | Current State: 75:[15, 86, 46, 20], Operations: []
Exploring Operation: 15+86=101, Resulting Numbers: [46, 20, 101]
Generated Node #2: [46, 20, 101] from Operation: 15+86=101
Current State: 75:[46, 20, 101], Operations: ['15+86=101']
Exploring Operation: 46-20=26, Resulting Numbers: [101, 26]
Generated Node #3: [101, 26] from Operation: 46-20=26
Current State: 75:[101, 26], Operations: ['15+86=101', '46-20=26']
Exploring Operation: 101-26=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
92,
88,
10,
96
] | 12 | [
"96-92=4",
"88/4=22",
"22-10=12"
] | Current State: 12:[92, 88, 10, 96], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [88, 10, 4]
Generated Node #2: [88, 10, 4] from Operation: 96-92=4
Current State: 12:[88, 10, 4], Operations: ['96-92=4']
Exploring Operation: 88/4=22, Resulting Numbers: [10, 22]
Generated Node #3: [10, 22] from Operation: 88/4=22
Current State: 12:[10, 22], Operations: ['96-92=4', '88/4=22']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
1,
60,
23,
2
] | 71 | [
"23-1=22",
"22/2=11",
"60+11=71"
] | Current State: 71:[1, 60, 23, 2], Operations: []
Exploring Operation: 23-1=22, Resulting Numbers: [60, 2, 22]
Generated Node #2: [60, 2, 22] from Operation: 23-1=22
Current State: 71:[60, 2, 22], Operations: ['23-1=22']
Exploring Operation: 22/2=11, Resulting Numbers: [60, 11]
Generated Node #3: [60, 11] from Operation: 22/2=11
Current State: 71:[60, 11], Operations: ['23-1=22', '22/2=11']
Exploring Operation: 60+11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
12,
4,
6,
76
] | 17 | [
"12/6=2",
"76/4=19",
"19-2=17"
] | Current State: 17:[12, 4, 6, 76], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [4, 76, 2]
Generated Node #2: [4, 76, 2] from Operation: 12/6=2
Current State: 17:[4, 76, 2], Operations: ['12/6=2']
Exploring Operation: 76/4=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 76/4=19
Current State: 17:[2, 19], Operations: ['12/6=2', '76/4=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
2,
64,
12
] | 98 | [
"28+64=92",
"12/2=6",
"92+6=98"
] | Current State: 98:[28, 2, 64, 12], Operations: []
Exploring Operation: 28+64=92, Resulting Numbers: [2, 12, 92]
Generated Node #2: [2, 12, 92] from Operation: 28+64=92
Current State: 98:[2, 12, 92], Operations: ['28+64=92']
Exploring Operation: 12/2=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 12/2=6
Current State: 98:[92, 6], Operations: ['28+64=92', '12/2=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
11,
14,
33,
66
] | 99 | [
"14-11=3",
"66-33=33",
"3*33=99"
] | Current State: 99:[11, 14, 33, 66], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [33, 66, 3]
Generated Node #2: [33, 66, 3] from Operation: 14-11=3
Current State: 99:[33, 66, 3], Operations: ['14-11=3']
Exploring Operation: 66-33=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 66-33=33
Current State: 99:[3, 33], Operations: ['14-11=3', '66-33=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
32,
52,
17,
51
] | 50 | [
"32+52=84",
"51-17=34",
"84-34=50"
] | Current State: 50:[32, 52, 17, 51], Operations: []
Exploring Operation: 32+52=84, Resulting Numbers: [17, 51, 84]
Generated Node #2: [17, 51, 84] from Operation: 32+52=84
Current State: 50:[17, 51, 84], Operations: ['32+52=84']
Exploring Operation: 51-17=34, Resulting Numbers: [84, 34]
Generated Node #3: [84, 34] from Operation: 51-17=34
Current State: 50:[84, 34], Operations: ['32+52=84', '51-17=34']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
41,
55,
4,
31
] | 68 | [
"55-41=14",
"31-14=17",
"4*17=68"
] | Current State: 68:[41, 55, 4, 31], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [4, 31, 14]
Generated Node #2: [4, 31, 14] from Operation: 55-41=14
Current State: 68:[4, 31, 14], Operations: ['55-41=14']
Exploring Operation: 31-14=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 31-14=17
Current State: 68:[4, 17], Operations: ['55-41=14', '31-14=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
22,
71,
4,
5
] | 49 | [
"71-22=49",
"5-4=1",
"49*1=49"
] | Current State: 49:[22, 71, 4, 5], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [4, 5, 49]
Generated Node #2: [4, 5, 49] from Operation: 71-22=49
Current State: 49:[4, 5, 49], Operations: ['71-22=49']
Exploring Operation: 5-4=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 5-4=1
Current State: 49:[49, 1], Operations: ['71-22=49', '5-4=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
25,
48,
2,
93
] | 72 | [
"48-25=23",
"2+93=95",
"95-23=72"
] | Current State: 72:[25, 48, 2, 93], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [2, 93, 23]
Generated Node #2: [2, 93, 23] from Operation: 48-25=23
Current State: 72:[2, 93, 23], Operations: ['48-25=23']
Exploring Operation: 2+93=95, Resulting Numbers: [23, 95]
Generated Node #3: [23, 95] from Operation: 2+93=95
Current State: 72:[23, 95], Operations: ['48-25=23', '2+93=95']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
74,
53,
74,
1
] | 96 | [
"74-53=21",
"74+1=75",
"21+75=96"
] | Current State: 96:[74, 53, 74, 1], Operations: []
Exploring Operation: 74-53=21, Resulting Numbers: [1, 21]
Generated Node #2: [1, 21] from Operation: 74-53=21
Current State: 96:[1, 21], Operations: ['74-53=21']
Exploring Operation: 74+1=75, Resulting Numbers: [21, 75]
Generated Node #3: [21, 75] from Operation: 74+1=75
Current State: 96:[21, 75], Operations: ['74-53=21', '74+1=75']
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
65,
32,
73,
20
] | 96 | [
"73-65=8",
"32-20=12",
"8*12=96"
] | Current State: 96:[65, 32, 73, 20], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [32, 20, 8]
Generated Node #2: [32, 20, 8] from Operation: 73-65=8
Current State: 96:[32, 20, 8], Operations: ['73-65=8']
Exploring Operation: 32-20=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 32-20=12
Current State: 96:[8, 12], Operations: ['73-65=8', '32-20=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
67,
41,
63
] | 52 | [
"41-28=13",
"67-63=4",
"13*4=52"
] | Current State: 52:[28, 67, 41, 63], Operations: []
Exploring Operation: 41-28=13, Resulting Numbers: [67, 63, 13]
Generated Node #2: [67, 63, 13] from Operation: 41-28=13
Current State: 52:[67, 63, 13], Operations: ['41-28=13']
Exploring Operation: 67-63=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 67-63=4
Current State: 52:[13, 4], Operations: ['41-28=13', '67-63=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
62,
63,
40,
73
] | 34 | [
"63-62=1",
"73-40=33",
"1+33=34"
] | Current State: 34:[62, 63, 40, 73], Operations: []
Exploring Operation: 63-62=1, Resulting Numbers: [40, 73, 1]
Generated Node #2: [40, 73, 1] from Operation: 63-62=1
Current State: 34:[40, 73, 1], Operations: ['63-62=1']
Exploring Operation: 73-40=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 73-40=33
Current State: 34:[1, 33], Operations: ['63-62=1', '73-40=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
36,
29,
32,
19
] | 24 | [
"36*32=1152",
"29+19=48",
"1152/48=24"
] | Current State: 24:[36, 29, 32, 19], Operations: []
Exploring Operation: 36*32=1152, Resulting Numbers: [29, 19, 1152]
Generated Node #2: [29, 19, 1152] from Operation: 36*32=1152
Current State: 24:[29, 19, 1152], Operations: ['36*32=1152']
Exploring Operation: 29+19=48, Resulting Numbers: [1152, 48]
Generated Node #3: [1152, 48] from Operation: 29+19=48
Current State: 24:[1152, 48], Operations: ['36*32=1152', '29+19=48']
Exploring Operation: 1152/48=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
17,
3,
72,
78
] | 71 | [
"17+78=95",
"72/3=24",
"95-24=71"
] | Current State: 71:[17, 3, 72, 78], Operations: []
Exploring Operation: 17+78=95, Resulting Numbers: [3, 72, 95]
Generated Node #2: [3, 72, 95] from Operation: 17+78=95
Current State: 71:[3, 72, 95], Operations: ['17+78=95']
Exploring Operation: 72/3=24, Resulting Numbers: [95, 24]
Generated Node #3: [95, 24] from Operation: 72/3=24
Current State: 71:[95, 24], Operations: ['17+78=95', '72/3=24']
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
4,
58,
5
] | 37 | [
"70+58=128",
"128/4=32",
"5+32=37"
] | Current State: 37:[70, 4, 58, 5], Operations: []
Exploring Operation: 70+58=128, Resulting Numbers: [4, 5, 128]
Generated Node #2: [4, 5, 128] from Operation: 70+58=128
Current State: 37:[4, 5, 128], Operations: ['70+58=128']
Exploring Operation: 128/4=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 128/4=32
Current State: 37:[5, 32], Operations: ['70+58=128', '128/4=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
40,
91,
34,
2
] | 45 | [
"40*2=80",
"91+34=125",
"125-80=45"
] | Current State: 45:[40, 91, 34, 2], Operations: []
Exploring Operation: 40*2=80, Resulting Numbers: [91, 34, 80]
Generated Node #2: [91, 34, 80] from Operation: 40*2=80
Current State: 45:[91, 34, 80], Operations: ['40*2=80']
Exploring Operation: 91+34=125, Resulting Numbers: [80, 125]
Generated Node #3: [80, 125] from Operation: 91+34=125
Current State: 45:[80, 125], Operations: ['40*2=80', '91+34=125']
Exploring Operation: 125-80=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
65,
85,
56,
5
] | 80 | [
"85-56=29",
"5*29=145",
"145-65=80"
] | Current State: 80:[65, 85, 56, 5], Operations: []
Exploring Operation: 85-56=29, Resulting Numbers: [65, 5, 29]
Generated Node #2: [65, 5, 29] from Operation: 85-56=29
Current State: 80:[65, 5, 29], Operations: ['85-56=29']
Exploring Operation: 5*29=145, Resulting Numbers: [65, 145]
Generated Node #3: [65, 145] from Operation: 5*29=145
Current State: 80:[65, 145], Operations: ['85-56=29', '5*29=145']
Exploring Operation: 145-65=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
74,
21,
2
] | 75 | [
"42/21=2",
"2/2=1",
"74+1=75"
] | Current State: 75:[42, 74, 21, 2], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [74, 2, 2]
Generated Node #2: [74, 2, 2] from Operation: 42/21=2
Current State: 75:[74, 2, 2], Operations: ['42/21=2']
Exploring Operation: 2/2=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 2/2=1
Current State: 75:[74, 1], Operations: ['42/21=2', '2/2=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
19,
98,
27,
10
] | 53 | [
"98*10=980",
"27+980=1007",
"1007/19=53"
] | Current State: 53:[19, 98, 27, 10], Operations: []
Exploring Operation: 98*10=980, Resulting Numbers: [19, 27, 980]
Generated Node #2: [19, 27, 980] from Operation: 98*10=980
Current State: 53:[19, 27, 980], Operations: ['98*10=980']
Exploring Operation: 27+980=1007, Resulting Numbers: [19, 1007]
Generated Node #3: [19, 1007] from Operation: 27+980=1007
Current State: 53:[19, 1007], Operations: ['98*10=980', '27+980=1007']
Exploring Operation: 1007/19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
71,
76,
13,
45
] | 38 | [
"71-45=26",
"76*13=988",
"988/26=38"
] | Current State: 38:[71, 76, 13, 45], Operations: []
Exploring Operation: 71-45=26, Resulting Numbers: [76, 13, 26]
Generated Node #2: [76, 13, 26] from Operation: 71-45=26
Current State: 38:[76, 13, 26], Operations: ['71-45=26']
Exploring Operation: 76*13=988, Resulting Numbers: [26, 988]
Generated Node #3: [26, 988] from Operation: 76*13=988
Current State: 38:[26, 988], Operations: ['71-45=26', '76*13=988']
Exploring Operation: 988/26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
6,
8,
23,
75
] | 55 | [
"6*23=138",
"8+75=83",
"138-83=55"
] | Current State: 55:[6, 8, 23, 75], Operations: []
Exploring Operation: 6*23=138, Resulting Numbers: [8, 75, 138]
Generated Node #2: [8, 75, 138] from Operation: 6*23=138
Current State: 55:[8, 75, 138], Operations: ['6*23=138']
Exploring Operation: 8+75=83, Resulting Numbers: [138, 83]
Generated Node #3: [138, 83] from Operation: 8+75=83
Current State: 55:[138, 83], Operations: ['6*23=138', '8+75=83']
Exploring Operation: 138-83=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
11,
73,
3
] | 21 | [
"5*11=55",
"73+3=76",
"76-55=21"
] | Current State: 21:[5, 11, 73, 3], Operations: []
Exploring Operation: 5*11=55, Resulting Numbers: [73, 3, 55]
Generated Node #2: [73, 3, 55] from Operation: 5*11=55
Current State: 21:[73, 3, 55], Operations: ['5*11=55']
Exploring Operation: 73+3=76, Resulting Numbers: [55, 76]
Generated Node #3: [55, 76] from Operation: 73+3=76
Current State: 21:[55, 76], Operations: ['5*11=55', '73+3=76']
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
45,
37,
91,
79
] | 20 | [
"45-37=8",
"91-79=12",
"8+12=20"
] | Current State: 20:[45, 37, 91, 79], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [91, 79, 8]
Generated Node #2: [91, 79, 8] from Operation: 45-37=8
Current State: 20:[91, 79, 8], Operations: ['45-37=8']
Exploring Operation: 91-79=12, Resulting Numbers: [8, 12]
Generated Node #3: [8, 12] from Operation: 91-79=12
Current State: 20:[8, 12], Operations: ['45-37=8', '91-79=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
57,
47,
1,
84
] | 93 | [
"57-47=10",
"84-1=83",
"10+83=93"
] | Current State: 93:[57, 47, 1, 84], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [1, 84, 10]
Generated Node #2: [1, 84, 10] from Operation: 57-47=10
Current State: 93:[1, 84, 10], Operations: ['57-47=10']
Exploring Operation: 84-1=83, Resulting Numbers: [10, 83]
Generated Node #3: [10, 83] from Operation: 84-1=83
Current State: 93:[10, 83], Operations: ['57-47=10', '84-1=83']
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
74,
44,
71,
5
] | 73 | [
"74+71=145",
"145/5=29",
"44+29=73"
] | Current State: 73:[74, 44, 71, 5], Operations: []
Exploring Operation: 74+71=145, Resulting Numbers: [44, 5, 145]
Generated Node #2: [44, 5, 145] from Operation: 74+71=145
Current State: 73:[44, 5, 145], Operations: ['74+71=145']
Exploring Operation: 145/5=29, Resulting Numbers: [44, 29]
Generated Node #3: [44, 29] from Operation: 145/5=29
Current State: 73:[44, 29], Operations: ['74+71=145', '145/5=29']
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
21,
1,
30,
13
] | 22 | [
"21*1=21",
"30+13=43",
"43-21=22"
] | Current State: 22:[21, 1, 30, 13], Operations: []
Exploring Operation: 21*1=21, Resulting Numbers: [30, 13, 21]
Generated Node #2: [30, 13, 21] from Operation: 21*1=21
Current State: 22:[30, 13, 21], Operations: ['21*1=21']
Exploring Operation: 30+13=43, Resulting Numbers: [21, 43]
Generated Node #3: [21, 43] from Operation: 30+13=43
Current State: 22:[21, 43], Operations: ['21*1=21', '30+13=43']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
33,
4,
60,
2
] | 80 | [
"33+2=35",
"4*35=140",
"140-60=80"
] | Current State: 80:[33, 4, 60, 2], Operations: []
Exploring Operation: 33+2=35, Resulting Numbers: [4, 60, 35]
Generated Node #2: [4, 60, 35] from Operation: 33+2=35
Current State: 80:[4, 60, 35], Operations: ['33+2=35']
Exploring Operation: 4*35=140, Resulting Numbers: [60, 140]
Generated Node #3: [60, 140] from Operation: 4*35=140
Current State: 80:[60, 140], Operations: ['33+2=35', '4*35=140']
Exploring Operation: 140-60=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
65,
56,
17,
28
] | 80 | [
"65+17=82",
"56/28=2",
"82-2=80"
] | Current State: 80:[65, 56, 17, 28], Operations: []
Exploring Operation: 65+17=82, Resulting Numbers: [56, 28, 82]
Generated Node #2: [56, 28, 82] from Operation: 65+17=82
Current State: 80:[56, 28, 82], Operations: ['65+17=82']
Exploring Operation: 56/28=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 56/28=2
Current State: 80:[82, 2], Operations: ['65+17=82', '56/28=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
59,
59,
22,
38
] | 17 | [
"59/59=1",
"38-22=16",
"1+16=17"
] | Current State: 17:[59, 59, 22, 38], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [22, 38, 1]
Generated Node #2: [22, 38, 1] from Operation: 59/59=1
Current State: 17:[22, 38, 1], Operations: ['59/59=1']
Exploring Operation: 38-22=16, Resulting Numbers: [1, 16]
Generated Node #3: [1, 16] from Operation: 38-22=16
Current State: 17:[1, 16], Operations: ['59/59=1', '38-22=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
80,
64,
52
] | 74 | [
"64-52=12",
"12/2=6",
"80-6=74"
] | Current State: 74:[2, 80, 64, 52], Operations: []
Exploring Operation: 64-52=12, Resulting Numbers: [2, 80, 12]
Generated Node #2: [2, 80, 12] from Operation: 64-52=12
Current State: 74:[2, 80, 12], Operations: ['64-52=12']
Exploring Operation: 12/2=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 12/2=6
Current State: 74:[80, 6], Operations: ['64-52=12', '12/2=6']
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
43,
15,
39,
46
] | 35 | [
"43-15=28",
"46-39=7",
"28+7=35"
] | Current State: 35:[43, 15, 39, 46], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [39, 46, 28]
Generated Node #2: [39, 46, 28] from Operation: 43-15=28
Current State: 35:[39, 46, 28], Operations: ['43-15=28']
Exploring Operation: 46-39=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 46-39=7
Current State: 35:[28, 7], Operations: ['43-15=28', '46-39=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
69,
79,
76
] | 97 | [
"25+69=94",
"79-76=3",
"94+3=97"
] | Current State: 97:[25, 69, 79, 76], Operations: []
Exploring Operation: 25+69=94, Resulting Numbers: [79, 76, 94]
Generated Node #2: [79, 76, 94] from Operation: 25+69=94
Current State: 97:[79, 76, 94], Operations: ['25+69=94']
Exploring Operation: 79-76=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 79-76=3
Current State: 97:[94, 3], Operations: ['25+69=94', '79-76=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
23,
31,
29
] | 87 | [
"4+23=27",
"31+29=60",
"27+60=87"
] | Current State: 87:[4, 23, 31, 29], Operations: []
Exploring Operation: 4+23=27, Resulting Numbers: [31, 29, 27]
Generated Node #2: [31, 29, 27] from Operation: 4+23=27
Current State: 87:[31, 29, 27], Operations: ['4+23=27']
Exploring Operation: 31+29=60, Resulting Numbers: [27, 60]
Generated Node #3: [27, 60] from Operation: 31+29=60
Current State: 87:[27, 60], Operations: ['4+23=27', '31+29=60']
Exploring Operation: 27+60=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
41,
42,
46,
17
] | 54 | [
"41+42=83",
"46-17=29",
"83-29=54"
] | Current State: 54:[41, 42, 46, 17], Operations: []
Exploring Operation: 41+42=83, Resulting Numbers: [46, 17, 83]
Generated Node #2: [46, 17, 83] from Operation: 41+42=83
Current State: 54:[46, 17, 83], Operations: ['41+42=83']
Exploring Operation: 46-17=29, Resulting Numbers: [83, 29]
Generated Node #3: [83, 29] from Operation: 46-17=29
Current State: 54:[83, 29], Operations: ['41+42=83', '46-17=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
21,
46,
51,
25
] | 26 | [
"51-46=5",
"25/5=5",
"21+5=26"
] | Current State: 26:[21, 46, 51, 25], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [21, 25, 5]
Generated Node #2: [21, 25, 5] from Operation: 51-46=5
Current State: 26:[21, 25, 5], Operations: ['51-46=5']
Exploring Operation: 25/5=5, Resulting Numbers: [21, 5]
Generated Node #3: [21, 5] from Operation: 25/5=5
Current State: 26:[21, 5], Operations: ['51-46=5', '25/5=5']
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
28,
8,
63,
99
] | 81 | [
"8*63=504",
"504/28=18",
"99-18=81"
] | Current State: 81:[28, 8, 63, 99], Operations: []
Exploring Operation: 8*63=504, Resulting Numbers: [28, 99, 504]
Generated Node #2: [28, 99, 504] from Operation: 8*63=504
Current State: 81:[28, 99, 504], Operations: ['8*63=504']
Exploring Operation: 504/28=18, Resulting Numbers: [99, 18]
Generated Node #3: [99, 18] from Operation: 504/28=18
Current State: 81:[99, 18], Operations: ['8*63=504', '504/28=18']
Exploring Operation: 99-18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
34,
66,
64
] | 21 | [
"76-34=42",
"66-64=2",
"42/2=21"
] | Current State: 21:[76, 34, 66, 64], Operations: []
Exploring Operation: 76-34=42, Resulting Numbers: [66, 64, 42]
Generated Node #2: [66, 64, 42] from Operation: 76-34=42
Current State: 21:[66, 64, 42], Operations: ['76-34=42']
Exploring Operation: 66-64=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 66-64=2
Current State: 21:[42, 2], Operations: ['76-34=42', '66-64=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
75,
98,
73,
32
] | 68 | [
"75+98=173",
"73+32=105",
"173-105=68"
] | Current State: 68:[75, 98, 73, 32], Operations: []
Exploring Operation: 75+98=173, Resulting Numbers: [73, 32, 173]
Generated Node #2: [73, 32, 173] from Operation: 75+98=173
Current State: 68:[73, 32, 173], Operations: ['75+98=173']
Exploring Operation: 73+32=105, Resulting Numbers: [173, 105]
Generated Node #3: [173, 105] from Operation: 73+32=105
Current State: 68:[173, 105], Operations: ['75+98=173', '73+32=105']
Exploring Operation: 173-105=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
15,
50,
20,
3
] | 30 | [
"20-15=5",
"50*3=150",
"150/5=30"
] | Current State: 30:[15, 50, 20, 3], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [50, 3, 5]
Generated Node #2: [50, 3, 5] from Operation: 20-15=5
Current State: 30:[50, 3, 5], Operations: ['20-15=5']
Exploring Operation: 50*3=150, Resulting Numbers: [5, 150]
Generated Node #3: [5, 150] from Operation: 50*3=150
Current State: 30:[5, 150], Operations: ['20-15=5', '50*3=150']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
65,
91,
61,
26
] | 61 | [
"91-65=26",
"61+26=87",
"87-26=61"
] | Current State: 61:[65, 91, 61, 26], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [61, 26, 26]
Generated Node #2: [61, 26, 26] from Operation: 91-65=26
Current State: 61:[61, 26, 26], Operations: ['91-65=26']
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,61 equal: Goal Reached
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
36,
65,
18
] | 10 | [
"21+36=57",
"65-18=47",
"57-47=10"
] | Current State: 10:[21, 36, 65, 18], Operations: []
Exploring Operation: 21+36=57, Resulting Numbers: [65, 18, 57]
Generated Node #2: [65, 18, 57] from Operation: 21+36=57
Current State: 10:[65, 18, 57], Operations: ['21+36=57']
Exploring Operation: 65-18=47, Resulting Numbers: [57, 47]
Generated Node #3: [57, 47] from Operation: 65-18=47
Current State: 10:[57, 47], Operations: ['21+36=57', '65-18=47']
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
27,
74,
69,
61
] | 55 | [
"74-27=47",
"69-61=8",
"47+8=55"
] | Current State: 55:[27, 74, 69, 61], Operations: []
Exploring Operation: 74-27=47, Resulting Numbers: [69, 61, 47]
Generated Node #2: [69, 61, 47] from Operation: 74-27=47
Current State: 55:[69, 61, 47], Operations: ['74-27=47']
Exploring Operation: 69-61=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 69-61=8
Current State: 55:[47, 8], Operations: ['74-27=47', '69-61=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
70,
1,
86
] | 26 | [
"5+1=6",
"70+86=156",
"156/6=26"
] | Current State: 26:[5, 70, 1, 86], Operations: []
Exploring Operation: 5+1=6, Resulting Numbers: [70, 86, 6]
Generated Node #2: [70, 86, 6] from Operation: 5+1=6
Current State: 26:[70, 86, 6], Operations: ['5+1=6']
Exploring Operation: 70+86=156, Resulting Numbers: [6, 156]
Generated Node #3: [6, 156] from Operation: 70+86=156
Current State: 26:[6, 156], Operations: ['5+1=6', '70+86=156']
Exploring Operation: 156/6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
87,
10,
59,
37
] | 54 | [
"87-37=50",
"50/10=5",
"59-5=54"
] | Current State: 54:[87, 10, 59, 37], Operations: []
Exploring Operation: 87-37=50, Resulting Numbers: [10, 59, 50]
Generated Node #2: [10, 59, 50] from Operation: 87-37=50
Current State: 54:[10, 59, 50], Operations: ['87-37=50']
Exploring Operation: 50/10=5, Resulting Numbers: [59, 5]
Generated Node #3: [59, 5] from Operation: 50/10=5
Current State: 54:[59, 5], Operations: ['87-37=50', '50/10=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
61,
16,
20,
15
] | 17 | [
"61-16=45",
"45/15=3",
"20-3=17"
] | Current State: 17:[61, 16, 20, 15], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [20, 15, 45]
Generated Node #2: [20, 15, 45] from Operation: 61-16=45
Current State: 17:[20, 15, 45], Operations: ['61-16=45']
Exploring Operation: 45/15=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 45/15=3
Current State: 17:[20, 3], Operations: ['61-16=45', '45/15=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
99,
64,
18
] | 25 | [
"99-28=71",
"64-18=46",
"71-46=25"
] | Current State: 25:[28, 99, 64, 18], Operations: []
Exploring Operation: 99-28=71, Resulting Numbers: [64, 18, 71]
Generated Node #2: [64, 18, 71] from Operation: 99-28=71
Current State: 25:[64, 18, 71], Operations: ['99-28=71']
Exploring Operation: 64-18=46, Resulting Numbers: [71, 46]
Generated Node #3: [71, 46] from Operation: 64-18=46
Current State: 25:[71, 46], Operations: ['99-28=71', '64-18=46']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
37,
24,
54,
4
] | 46 | [
"24/4=6",
"54/6=9",
"37+9=46"
] | Current State: 46:[37, 24, 54, 4], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [37, 54, 6]
Generated Node #2: [37, 54, 6] from Operation: 24/4=6
Current State: 46:[37, 54, 6], Operations: ['24/4=6']
Exploring Operation: 54/6=9, Resulting Numbers: [37, 9]
Generated Node #3: [37, 9] from Operation: 54/6=9
Current State: 46:[37, 9], Operations: ['24/4=6', '54/6=9']
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
34,
23,
68,
48
] | 47 | [
"68/34=2",
"48/2=24",
"23+24=47"
] | Current State: 47:[34, 23, 68, 48], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [23, 48, 2]
Generated Node #2: [23, 48, 2] from Operation: 68/34=2
Current State: 47:[23, 48, 2], Operations: ['68/34=2']
Exploring Operation: 48/2=24, Resulting Numbers: [23, 24]
Generated Node #3: [23, 24] from Operation: 48/2=24
Current State: 47:[23, 24], Operations: ['68/34=2', '48/2=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
53,
30,
66,
12
] | 45 | [
"30+66=96",
"96/12=8",
"53-8=45"
] | Current State: 45:[53, 30, 66, 12], Operations: []
Exploring Operation: 30+66=96, Resulting Numbers: [53, 12, 96]
Generated Node #2: [53, 12, 96] from Operation: 30+66=96
Current State: 45:[53, 12, 96], Operations: ['30+66=96']
Exploring Operation: 96/12=8, Resulting Numbers: [53, 8]
Generated Node #3: [53, 8] from Operation: 96/12=8
Current State: 45:[53, 8], Operations: ['30+66=96', '96/12=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
7,
12,
38,
95
] | 37 | [
"12*95=1140",
"1140/38=30",
"7+30=37"
] | Current State: 37:[7, 12, 38, 95], Operations: []
Exploring Operation: 12*95=1140, Resulting Numbers: [7, 38, 1140]
Generated Node #2: [7, 38, 1140] from Operation: 12*95=1140
Current State: 37:[7, 38, 1140], Operations: ['12*95=1140']
Exploring Operation: 1140/38=30, Resulting Numbers: [7, 30]
Generated Node #3: [7, 30] from Operation: 1140/38=30
Current State: 37:[7, 30], Operations: ['12*95=1140', '1140/38=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
86,
41,
62,
7
] | 24 | [
"86-41=45",
"62+7=69",
"69-45=24"
] | Current State: 24:[86, 41, 62, 7], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [62, 7, 45]
Generated Node #2: [62, 7, 45] from Operation: 86-41=45
Current State: 24:[62, 7, 45], Operations: ['86-41=45']
Exploring Operation: 62+7=69, Resulting Numbers: [45, 69]
Generated Node #3: [45, 69] from Operation: 62+7=69
Current State: 24:[45, 69], Operations: ['86-41=45', '62+7=69']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
12,
66,
85
] | 25 | [
"12/2=6",
"85-66=19",
"6+19=25"
] | Current State: 25:[2, 12, 66, 85], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [66, 85, 6]
Generated Node #2: [66, 85, 6] from Operation: 12/2=6
Current State: 25:[66, 85, 6], Operations: ['12/2=6']
Exploring Operation: 85-66=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 85-66=19
Current State: 25:[6, 19], Operations: ['12/2=6', '85-66=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
75,
7,
82,
56
] | 57 | [
"75+7=82",
"82/82=1",
"56+1=57"
] | Current State: 57:[75, 7, 82, 56], Operations: []
Exploring Operation: 75+7=82, Resulting Numbers: [82, 56, 82]
Generated Node #2: [82, 56, 82] from Operation: 75+7=82
Current State: 57:[82, 56, 82], Operations: ['75+7=82']
Exploring Operation: 82/82=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 82/82=1
Current State: 57:[56, 1], Operations: ['75+7=82', '82/82=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
60,
59,
49,
89
] | 83 | [
"59-49=10",
"60/10=6",
"89-6=83"
] | Current State: 83:[60, 59, 49, 89], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [60, 89, 10]
Generated Node #2: [60, 89, 10] from Operation: 59-49=10
Current State: 83:[60, 89, 10], Operations: ['59-49=10']
Exploring Operation: 60/10=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 60/10=6
Current State: 83:[89, 6], Operations: ['59-49=10', '60/10=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
33,
2,
30,
15
] | 36 | [
"33-30=3",
"15+3=18",
"2*18=36"
] | Current State: 36:[33, 2, 30, 15], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [2, 15, 3]
Generated Node #2: [2, 15, 3] from Operation: 33-30=3
Current State: 36:[2, 15, 3], Operations: ['33-30=3']
Exploring Operation: 15+3=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 15+3=18
Current State: 36:[2, 18], Operations: ['33-30=3', '15+3=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
3,
69,
67,
28
] | 72 | [
"69/3=23",
"67+28=95",
"95-23=72"
] | Current State: 72:[3, 69, 67, 28], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [67, 28, 23]
Generated Node #2: [67, 28, 23] from Operation: 69/3=23
Current State: 72:[67, 28, 23], Operations: ['69/3=23']
Exploring Operation: 67+28=95, Resulting Numbers: [23, 95]
Generated Node #3: [23, 95] from Operation: 67+28=95
Current State: 72:[23, 95], Operations: ['69/3=23', '67+28=95']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
84,
33,
40,
21
] | 92 | [
"84*33=2772",
"2772/21=132",
"132-40=92"
] | Current State: 92:[84, 33, 40, 21], Operations: []
Exploring Operation: 84*33=2772, Resulting Numbers: [40, 21, 2772]
Generated Node #2: [40, 21, 2772] from Operation: 84*33=2772
Current State: 92:[40, 21, 2772], Operations: ['84*33=2772']
Exploring Operation: 2772/21=132, Resulting Numbers: [40, 132]
Generated Node #3: [40, 132] from Operation: 2772/21=132
Current State: 92:[40, 132], Operations: ['84*33=2772', '2772/21=132']
Exploring Operation: 132-40=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
9,
32,
78
] | 17 | [
"7*9=63",
"78-32=46",
"63-46=17"
] | Current State: 17:[7, 9, 32, 78], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [32, 78, 63]
Generated Node #2: [32, 78, 63] from Operation: 7*9=63
Current State: 17:[32, 78, 63], Operations: ['7*9=63']
Exploring Operation: 78-32=46, Resulting Numbers: [63, 46]
Generated Node #3: [63, 46] from Operation: 78-32=46
Current State: 17:[63, 46], Operations: ['7*9=63', '78-32=46']
Exploring Operation: 63-46=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
78,
63,
99,
64
] | 50 | [
"78-63=15",
"99-64=35",
"15+35=50"
] | Current State: 50:[78, 63, 99, 64], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [99, 64, 15]
Generated Node #2: [99, 64, 15] from Operation: 78-63=15
Current State: 50:[99, 64, 15], Operations: ['78-63=15']
Exploring Operation: 99-64=35, Resulting Numbers: [15, 35]
Generated Node #3: [15, 35] from Operation: 99-64=35
Current State: 50:[15, 35], Operations: ['78-63=15', '99-64=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
77,
80,
25
] | 51 | [
"40*80=3200",
"3200/25=128",
"128-77=51"
] | Current State: 51:[40, 77, 80, 25], Operations: []
Exploring Operation: 40*80=3200, Resulting Numbers: [77, 25, 3200]
Generated Node #2: [77, 25, 3200] from Operation: 40*80=3200
Current State: 51:[77, 25, 3200], Operations: ['40*80=3200']
Exploring Operation: 3200/25=128, Resulting Numbers: [77, 128]
Generated Node #3: [77, 128] from Operation: 3200/25=128
Current State: 51:[77, 128], Operations: ['40*80=3200', '3200/25=128']
Exploring Operation: 128-77=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
81,
19,
90
] | 52 | [
"90/9=10",
"81-19=62",
"62-10=52"
] | Current State: 52:[9, 81, 19, 90], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [81, 19, 10]
Generated Node #2: [81, 19, 10] from Operation: 90/9=10
Current State: 52:[81, 19, 10], Operations: ['90/9=10']
Exploring Operation: 81-19=62, Resulting Numbers: [10, 62]
Generated Node #3: [10, 62] from Operation: 81-19=62
Current State: 52:[10, 62], Operations: ['90/9=10', '81-19=62']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
10,
39,
62
] | 91 | [
"1*10=10",
"39+62=101",
"101-10=91"
] | Current State: 91:[1, 10, 39, 62], Operations: []
Exploring Operation: 1*10=10, Resulting Numbers: [39, 62, 10]
Generated Node #2: [39, 62, 10] from Operation: 1*10=10
Current State: 91:[39, 62, 10], Operations: ['1*10=10']
Exploring Operation: 39+62=101, Resulting Numbers: [10, 101]
Generated Node #3: [10, 101] from Operation: 39+62=101
Current State: 91:[10, 101], Operations: ['1*10=10', '39+62=101']
Exploring Operation: 101-10=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
98,
2,
64,
33
] | 50 | [
"98-64=34",
"34/2=17",
"33+17=50"
] | Current State: 50:[98, 2, 64, 33], Operations: []
Exploring Operation: 98-64=34, Resulting Numbers: [2, 33, 34]
Generated Node #2: [2, 33, 34] from Operation: 98-64=34
Current State: 50:[2, 33, 34], Operations: ['98-64=34']
Exploring Operation: 34/2=17, Resulting Numbers: [33, 17]
Generated Node #3: [33, 17] from Operation: 34/2=17
Current State: 50:[33, 17], Operations: ['98-64=34', '34/2=17']
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
73,
70,
25,
17
] | 24 | [
"73-70=3",
"25-17=8",
"3*8=24"
] | Current State: 24:[73, 70, 25, 17], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [25, 17, 3]
Generated Node #2: [25, 17, 3] from Operation: 73-70=3
Current State: 24:[25, 17, 3], Operations: ['73-70=3']
Exploring Operation: 25-17=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 25-17=8
Current State: 24:[3, 8], Operations: ['73-70=3', '25-17=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
70,
5,
97,
46
] | 24 | [
"70+5=75",
"97-46=51",
"75-51=24"
] | Current State: 24:[70, 5, 97, 46], Operations: []
Exploring Operation: 70+5=75, Resulting Numbers: [97, 46, 75]
Generated Node #2: [97, 46, 75] from Operation: 70+5=75
Current State: 24:[97, 46, 75], Operations: ['70+5=75']
Exploring Operation: 97-46=51, Resulting Numbers: [75, 51]
Generated Node #3: [75, 51] from Operation: 97-46=51
Current State: 24:[75, 51], Operations: ['70+5=75', '97-46=51']
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
24,
61,
73,
2
] | 91 | [
"61+73=134",
"134/2=67",
"24+67=91"
] | Current State: 91:[24, 61, 73, 2], Operations: []
Exploring Operation: 61+73=134, Resulting Numbers: [24, 2, 134]
Generated Node #2: [24, 2, 134] from Operation: 61+73=134
Current State: 91:[24, 2, 134], Operations: ['61+73=134']
Exploring Operation: 134/2=67, Resulting Numbers: [24, 67]
Generated Node #3: [24, 67] from Operation: 134/2=67
Current State: 91:[24, 67], Operations: ['61+73=134', '134/2=67']
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
92,
20,
11,
92
] | 32 | [
"92/92=1",
"20+11=31",
"1+31=32"
] | Current State: 32:[92, 20, 11, 92], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [20, 11, 1]
Generated Node #2: [20, 11, 1] from Operation: 92/92=1
Current State: 32:[20, 11, 1], Operations: ['92/92=1']
Exploring Operation: 20+11=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 20+11=31
Current State: 32:[1, 31], Operations: ['92/92=1', '20+11=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
92,
3,
63,
62
] | 88 | [
"92-3=89",
"63-62=1",
"89-1=88"
] | Current State: 88:[92, 3, 63, 62], Operations: []
Exploring Operation: 92-3=89, Resulting Numbers: [63, 62, 89]
Generated Node #2: [63, 62, 89] from Operation: 92-3=89
Current State: 88:[63, 62, 89], Operations: ['92-3=89']
Exploring Operation: 63-62=1, Resulting Numbers: [89, 1]
Generated Node #3: [89, 1] from Operation: 63-62=1
Current State: 88:[89, 1], Operations: ['92-3=89', '63-62=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
77,
4,
4,
60
] | 91 | [
"60-4=56",
"56/4=14",
"77+14=91"
] | Current State: 91:[77, 4, 4, 60], Operations: []
Exploring Operation: 60-4=56, Resulting Numbers: [77, 56]
Generated Node #2: [77, 56] from Operation: 60-4=56
Current State: 91:[77, 56], Operations: ['60-4=56']
Exploring Operation: 56/4=14, Resulting Numbers: [77, 14]
Generated Node #3: [77, 14] from Operation: 56/4=14
Current State: 91:[77, 14], Operations: ['60-4=56', '56/4=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
85,
36,
77,
20
] | 40 | [
"85*36=3060",
"20+3060=3080",
"3080/77=40"
] | Current State: 40:[85, 36, 77, 20], Operations: []
Exploring Operation: 85*36=3060, Resulting Numbers: [77, 20, 3060]
Generated Node #2: [77, 20, 3060] from Operation: 85*36=3060
Current State: 40:[77, 20, 3060], Operations: ['85*36=3060']
Exploring Operation: 20+3060=3080, Resulting Numbers: [77, 3080]
Generated Node #3: [77, 3080] from Operation: 20+3060=3080
Current State: 40:[77, 3080], Operations: ['85*36=3060', '20+3060=3080']
Exploring Operation: 3080/77=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
56,
39,
52,
27
] | 92 | [
"52*27=1404",
"1404/39=36",
"56+36=92"
] | Current State: 92:[56, 39, 52, 27], Operations: []
Exploring Operation: 52*27=1404, Resulting Numbers: [56, 39, 1404]
Generated Node #2: [56, 39, 1404] from Operation: 52*27=1404
Current State: 92:[56, 39, 1404], Operations: ['52*27=1404']
Exploring Operation: 1404/39=36, Resulting Numbers: [56, 36]
Generated Node #3: [56, 36] from Operation: 1404/39=36
Current State: 92:[56, 36], Operations: ['52*27=1404', '1404/39=36']
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
87,
70,
94,
24
] | 87 | [
"87+70=157",
"94-24=70",
"157-70=87"
] | Current State: 87:[87, 70, 94, 24], Operations: []
Exploring Operation: 87+70=157, Resulting Numbers: [94, 24, 157]
Generated Node #2: [94, 24, 157] from Operation: 87+70=157
Current State: 87:[94, 24, 157], Operations: ['87+70=157']
Exploring Operation: 94-24=70, Resulting Numbers: [157, 70]
Generated Node #3: [157, 70] from Operation: 94-24=70
Current State: 87:[157, 70], Operations: ['87+70=157', '94-24=70']
Exploring Operation: 157-70=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
28,
48,
34,
36
] | 14 | [
"34-28=6",
"48+36=84",
"84/6=14"
] | Current State: 14:[28, 48, 34, 36], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [48, 36, 6]
Generated Node #2: [48, 36, 6] from Operation: 34-28=6
Current State: 14:[48, 36, 6], Operations: ['34-28=6']
Exploring Operation: 48+36=84, Resulting Numbers: [6, 84]
Generated Node #3: [6, 84] from Operation: 48+36=84
Current State: 14:[6, 84], Operations: ['34-28=6', '48+36=84']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
72,
7,
67,
83
] | 63 | [
"72+7=79",
"83-67=16",
"79-16=63"
] | Current State: 63:[72, 7, 67, 83], Operations: []
Exploring Operation: 72+7=79, Resulting Numbers: [67, 83, 79]
Generated Node #2: [67, 83, 79] from Operation: 72+7=79
Current State: 63:[67, 83, 79], Operations: ['72+7=79']
Exploring Operation: 83-67=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 83-67=16
Current State: 63:[79, 16], Operations: ['72+7=79', '83-67=16']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
14,
50,
18,
32
] | 51 | [
"14+18=32",
"32/32=1",
"50+1=51"
] | Current State: 51:[14, 50, 18, 32], Operations: []
Exploring Operation: 14+18=32, Resulting Numbers: [50, 32, 32]
Generated Node #2: [50, 32, 32] from Operation: 14+18=32
Current State: 51:[50, 32, 32], Operations: ['14+18=32']
Exploring Operation: 32/32=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 32/32=1
Current State: 51:[50, 1], Operations: ['14+18=32', '32/32=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
79,
96,
15
] | 13 | [
"2*15=30",
"96-79=17",
"30-17=13"
] | Current State: 13:[2, 79, 96, 15], Operations: []
Exploring Operation: 2*15=30, Resulting Numbers: [79, 96, 30]
Generated Node #2: [79, 96, 30] from Operation: 2*15=30
Current State: 13:[79, 96, 30], Operations: ['2*15=30']
Exploring Operation: 96-79=17, Resulting Numbers: [30, 17]
Generated Node #3: [30, 17] from Operation: 96-79=17
Current State: 13:[30, 17], Operations: ['2*15=30', '96-79=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
42,
57,
13,
21
] | 72 | [
"42/21=2",
"57+13=70",
"2+70=72"
] | Current State: 72:[42, 57, 13, 21], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [57, 13, 2]
Generated Node #2: [57, 13, 2] from Operation: 42/21=2
Current State: 72:[57, 13, 2], Operations: ['42/21=2']
Exploring Operation: 57+13=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 57+13=70
Current State: 72:[2, 70], Operations: ['42/21=2', '57+13=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
74,
54,
48
] | 93 | [
"13+74=87",
"54-48=6",
"87+6=93"
] | Current State: 93:[13, 74, 54, 48], Operations: []
Exploring Operation: 13+74=87, Resulting Numbers: [54, 48, 87]
Generated Node #2: [54, 48, 87] from Operation: 13+74=87
Current State: 93:[54, 48, 87], Operations: ['13+74=87']
Exploring Operation: 54-48=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 54-48=6
Current State: 93:[87, 6], Operations: ['13+74=87', '54-48=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
91,
12,
23,
92
] | 93 | [
"91+92=183",
"12*23=276",
"276-183=93"
] | Current State: 93:[91, 12, 23, 92], Operations: []
Exploring Operation: 91+92=183, Resulting Numbers: [12, 23, 183]
Generated Node #2: [12, 23, 183] from Operation: 91+92=183
Current State: 93:[12, 23, 183], Operations: ['91+92=183']
Exploring Operation: 12*23=276, Resulting Numbers: [183, 276]
Generated Node #3: [183, 276] from Operation: 12*23=276
Current State: 93:[183, 276], Operations: ['91+92=183', '12*23=276']
Exploring Operation: 276-183=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
43,
78,
52,
84
] | 54 | [
"52-43=9",
"84-78=6",
"9*6=54"
] | Current State: 54:[43, 78, 52, 84], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [78, 84, 9]
Generated Node #2: [78, 84, 9] from Operation: 52-43=9
Current State: 54:[78, 84, 9], Operations: ['52-43=9']
Exploring Operation: 84-78=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 84-78=6
Current State: 54:[9, 6], Operations: ['52-43=9', '84-78=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
74,
34,
30,
59
] | 79 | [
"74+34=108",
"59-30=29",
"108-29=79"
] | Current State: 79:[74, 34, 30, 59], Operations: []
Exploring Operation: 74+34=108, Resulting Numbers: [30, 59, 108]
Generated Node #2: [30, 59, 108] from Operation: 74+34=108
Current State: 79:[30, 59, 108], Operations: ['74+34=108']
Exploring Operation: 59-30=29, Resulting Numbers: [108, 29]
Generated Node #3: [108, 29] from Operation: 59-30=29
Current State: 79:[108, 29], Operations: ['74+34=108', '59-30=29']
Exploring Operation: 108-29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
13,
5,
91,
9
] | 17 | [
"13*5=65",
"91-9=82",
"82-65=17"
] | Current State: 17:[13, 5, 91, 9], Operations: []
Exploring Operation: 13*5=65, Resulting Numbers: [91, 9, 65]
Generated Node #2: [91, 9, 65] from Operation: 13*5=65
Current State: 17:[91, 9, 65], Operations: ['13*5=65']
Exploring Operation: 91-9=82, Resulting Numbers: [65, 82]
Generated Node #3: [65, 82] from Operation: 91-9=82
Current State: 17:[65, 82], Operations: ['13*5=65', '91-9=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.