nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
22,
31,
29,
38
] | 81 | [
"31-22=9",
"38-29=9",
"9*9=81"
] | Current State: 81:[22, 31, 29, 38], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [29, 38, 9]
Generated Node #2: [29, 38, 9] from Operation: 31-22=9
Current State: 81:[29, 38, 9], Operations: ['31-22=9']
Exploring Operation: 38-29=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 38-29=9
Current State: 81:[9, 9], Operations: ['31-22=9', '38-29=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
12,
74,
35,
77
] | 93 | [
"77-74=3",
"35*3=105",
"105-12=93"
] | Current State: 93:[12, 74, 35, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [12, 35, 3]
Generated Node #2: [12, 35, 3] from Operation: 77-74=3
Current State: 93:[12, 35, 3], Operations: ['77-74=3']
Exploring Operation: 35*3=105, Resulting Numbers: [12, 105]
Generated Node #3: [12, 105] from Operation: 35*3=105
Current State: 93:[12, 105], Operations: ['77-74=3', '35*3=105']
Exploring Operation: 105-12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
8,
48,
32,
4
] | 52 | [
"8+32=40",
"48/4=12",
"40+12=52"
] | Current State: 52:[8, 48, 32, 4], Operations: []
Exploring Operation: 8+32=40, Resulting Numbers: [48, 4, 40]
Generated Node #2: [48, 4, 40] from Operation: 8+32=40
Current State: 52:[48, 4, 40], Operations: ['8+32=40']
Exploring Operation: 48/4=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 48/4=12
Current State: 52:[40, 12], Operations: ['8+32=40', '48/4=12']
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
18,
10,
76,
17
] | 23 | [
"18*17=306",
"306-76=230",
"230/10=23"
] | Current State: 23:[18, 10, 76, 17], Operations: []
Exploring Operation: 18*17=306, Resulting Numbers: [10, 76, 306]
Generated Node #2: [10, 76, 306] from Operation: 18*17=306
Current State: 23:[10, 76, 306], Operations: ['18*17=306']
Exploring Operation: 306-76=230, Resulting Numbers: [10, 230]
Generated Node #3: [10, 230] from Operation: 306-76=230
Current State: 23:[10, 230], Operations: ['18*17=306', '306-76=230']
Exploring Operation: 230/10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
76,
65,
27,
22
] | 16 | [
"76-65=11",
"27-22=5",
"11+5=16"
] | Current State: 16:[76, 65, 27, 22], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [27, 22, 11]
Generated Node #2: [27, 22, 11] from Operation: 76-65=11
Current State: 16:[27, 22, 11], Operations: ['76-65=11']
Exploring Operation: 27-22=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 27-22=5
Current State: 16:[11, 5], Operations: ['76-65=11', '27-22=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
15,
2,
17,
58
] | 84 | [
"15+17=32",
"2*58=116",
"116-32=84"
] | Current State: 84:[15, 2, 17, 58], Operations: []
Exploring Operation: 15+17=32, Resulting Numbers: [2, 58, 32]
Generated Node #2: [2, 58, 32] from Operation: 15+17=32
Current State: 84:[2, 58, 32], Operations: ['15+17=32']
Exploring Operation: 2*58=116, Resulting Numbers: [32, 116]
Generated Node #3: [32, 116] from Operation: 2*58=116
Current State: 84:[32, 116], Operations: ['15+17=32', '2*58=116']
Exploring Operation: 116-32=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
91,
63,
27,
9
] | 87 | [
"63-27=36",
"36/9=4",
"91-4=87"
] | Current State: 87:[91, 63, 27, 9], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [91, 9, 36]
Generated Node #2: [91, 9, 36] from Operation: 63-27=36
Current State: 87:[91, 9, 36], Operations: ['63-27=36']
Exploring Operation: 36/9=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 36/9=4
Current State: 87:[91, 4], Operations: ['63-27=36', '36/9=4']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
85,
36,
38,
71
] | 12 | [
"85+36=121",
"38+71=109",
"121-109=12"
] | Current State: 12:[85, 36, 38, 71], Operations: []
Exploring Operation: 85+36=121, Resulting Numbers: [38, 71, 121]
Generated Node #2: [38, 71, 121] from Operation: 85+36=121
Current State: 12:[38, 71, 121], Operations: ['85+36=121']
Exploring Operation: 38+71=109, Resulting Numbers: [121, 109]
Generated Node #3: [121, 109] from Operation: 38+71=109
Current State: 12:[121, 109], Operations: ['85+36=121', '38+71=109']
Exploring Operation: 121-109=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
14,
16,
57,
39
] | 36 | [
"16-14=2",
"57-39=18",
"2*18=36"
] | Current State: 36:[14, 16, 57, 39], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [57, 39, 2]
Generated Node #2: [57, 39, 2] from Operation: 16-14=2
Current State: 36:[57, 39, 2], Operations: ['16-14=2']
Exploring Operation: 57-39=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 57-39=18
Current State: 36:[2, 18], Operations: ['16-14=2', '57-39=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
27,
79,
39,
11
] | 79 | [
"39-27=12",
"12-11=1",
"79*1=79"
] | Current State: 79:[27, 79, 39, 11], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [79, 11, 12]
Generated Node #2: [79, 11, 12] from Operation: 39-27=12
Current State: 79:[79, 11, 12], Operations: ['39-27=12']
Exploring Operation: 12-11=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 12-11=1
Current State: 79:[79, 1], Operations: ['39-27=12', '12-11=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
75,
39,
3,
14
] | 19 | [
"75-39=36",
"3+14=17",
"36-17=19"
] | Current State: 19:[75, 39, 3, 14], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [3, 14, 36]
Generated Node #2: [3, 14, 36] from Operation: 75-39=36
Current State: 19:[3, 14, 36], Operations: ['75-39=36']
Exploring Operation: 3+14=17, Resulting Numbers: [36, 17]
Generated Node #3: [36, 17] from Operation: 3+14=17
Current State: 19:[36, 17], Operations: ['75-39=36', '3+14=17']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
22,
31,
95
] | 27 | [
"31-12=19",
"95/19=5",
"22+5=27"
] | Current State: 27:[12, 22, 31, 95], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [22, 95, 19]
Generated Node #2: [22, 95, 19] from Operation: 31-12=19
Current State: 27:[22, 95, 19], Operations: ['31-12=19']
Exploring Operation: 95/19=5, Resulting Numbers: [22, 5]
Generated Node #3: [22, 5] from Operation: 95/19=5
Current State: 27:[22, 5], Operations: ['31-12=19', '95/19=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
11,
62,
43,
18
] | 15 | [
"18-11=7",
"62+43=105",
"105/7=15"
] | Current State: 15:[11, 62, 43, 18], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [62, 43, 7]
Generated Node #2: [62, 43, 7] from Operation: 18-11=7
Current State: 15:[62, 43, 7], Operations: ['18-11=7']
Exploring Operation: 62+43=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 62+43=105
Current State: 15:[7, 105], Operations: ['18-11=7', '62+43=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
70,
8,
39,
42
] | 14 | [
"8+39=47",
"47-42=5",
"70/5=14"
] | Current State: 14:[70, 8, 39, 42], Operations: []
Exploring Operation: 8+39=47, Resulting Numbers: [70, 42, 47]
Generated Node #2: [70, 42, 47] from Operation: 8+39=47
Current State: 14:[70, 42, 47], Operations: ['8+39=47']
Exploring Operation: 47-42=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 47-42=5
Current State: 14:[70, 5], Operations: ['8+39=47', '47-42=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
76,
60,
95,
57
] | 65 | [
"76-57=19",
"95/19=5",
"60+5=65"
] | Current State: 65:[76, 60, 95, 57], Operations: []
Exploring Operation: 76-57=19, Resulting Numbers: [60, 95, 19]
Generated Node #2: [60, 95, 19] from Operation: 76-57=19
Current State: 65:[60, 95, 19], Operations: ['76-57=19']
Exploring Operation: 95/19=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 95/19=5
Current State: 65:[60, 5], Operations: ['76-57=19', '95/19=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
10,
65,
9,
10
] | 75 | [
"10+65=75",
"10-9=1",
"75*1=75"
] | Current State: 75:[10, 65, 9, 10], Operations: []
Exploring Operation: 10+65=75, Resulting Numbers: [9, 75]
Generated Node #2: [9, 75] from Operation: 10+65=75
Current State: 75:[9, 75], Operations: ['10+65=75']
Exploring Operation: 10-9=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 10-9=1
Current State: 75:[75, 1], Operations: ['10+65=75', '10-9=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
69,
37,
36,
24
] | 28 | [
"69-37=32",
"36+24=60",
"60-32=28"
] | Current State: 28:[69, 37, 36, 24], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [36, 24, 32]
Generated Node #2: [36, 24, 32] from Operation: 69-37=32
Current State: 28:[36, 24, 32], Operations: ['69-37=32']
Exploring Operation: 36+24=60, Resulting Numbers: [32, 60]
Generated Node #3: [32, 60] from Operation: 36+24=60
Current State: 28:[32, 60], Operations: ['69-37=32', '36+24=60']
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
90,
5,
73,
10
] | 85 | [
"90-73=17",
"10-5=5",
"17*5=85"
] | Current State: 85:[90, 5, 73, 10], Operations: []
Exploring Operation: 90-73=17, Resulting Numbers: [5, 10, 17]
Generated Node #2: [5, 10, 17] from Operation: 90-73=17
Current State: 85:[5, 10, 17], Operations: ['90-73=17']
Exploring Operation: 10-5=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 10-5=5
Current State: 85:[17, 5], Operations: ['90-73=17', '10-5=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
92,
72,
79,
6
] | 65 | [
"92-72=20",
"79+6=85",
"85-20=65"
] | Current State: 65:[92, 72, 79, 6], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [79, 6, 20]
Generated Node #2: [79, 6, 20] from Operation: 92-72=20
Current State: 65:[79, 6, 20], Operations: ['92-72=20']
Exploring Operation: 79+6=85, Resulting Numbers: [20, 85]
Generated Node #3: [20, 85] from Operation: 79+6=85
Current State: 65:[20, 85], Operations: ['92-72=20', '79+6=85']
Exploring Operation: 85-20=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
42,
13,
29,
56
] | 30 | [
"42+13=55",
"29+56=85",
"85-55=30"
] | Current State: 30:[42, 13, 29, 56], Operations: []
Exploring Operation: 42+13=55, Resulting Numbers: [29, 56, 55]
Generated Node #2: [29, 56, 55] from Operation: 42+13=55
Current State: 30:[29, 56, 55], Operations: ['42+13=55']
Exploring Operation: 29+56=85, Resulting Numbers: [55, 85]
Generated Node #3: [55, 85] from Operation: 29+56=85
Current State: 30:[55, 85], Operations: ['42+13=55', '29+56=85']
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
86,
4,
36,
20
] | 26 | [
"86-4=82",
"36+20=56",
"82-56=26"
] | Current State: 26:[86, 4, 36, 20], Operations: []
Exploring Operation: 86-4=82, Resulting Numbers: [36, 20, 82]
Generated Node #2: [36, 20, 82] from Operation: 86-4=82
Current State: 26:[36, 20, 82], Operations: ['86-4=82']
Exploring Operation: 36+20=56, Resulting Numbers: [82, 56]
Generated Node #3: [82, 56] from Operation: 36+20=56
Current State: 26:[82, 56], Operations: ['86-4=82', '36+20=56']
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
38,
49,
39,
6
] | 34 | [
"49-38=11",
"39+6=45",
"45-11=34"
] | Current State: 34:[38, 49, 39, 6], Operations: []
Exploring Operation: 49-38=11, Resulting Numbers: [39, 6, 11]
Generated Node #2: [39, 6, 11] from Operation: 49-38=11
Current State: 34:[39, 6, 11], Operations: ['49-38=11']
Exploring Operation: 39+6=45, Resulting Numbers: [11, 45]
Generated Node #3: [11, 45] from Operation: 39+6=45
Current State: 34:[11, 45], Operations: ['49-38=11', '39+6=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
16,
55,
30,
58
] | 67 | [
"55-16=39",
"58-30=28",
"39+28=67"
] | Current State: 67:[16, 55, 30, 58], Operations: []
Exploring Operation: 55-16=39, Resulting Numbers: [30, 58, 39]
Generated Node #2: [30, 58, 39] from Operation: 55-16=39
Current State: 67:[30, 58, 39], Operations: ['55-16=39']
Exploring Operation: 58-30=28, Resulting Numbers: [39, 28]
Generated Node #3: [39, 28] from Operation: 58-30=28
Current State: 67:[39, 28], Operations: ['55-16=39', '58-30=28']
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
60,
4,
97,
67
] | 60 | [
"97-67=30",
"4*30=120",
"120-60=60"
] | Current State: 60:[60, 4, 97, 67], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [60, 4, 30]
Generated Node #2: [60, 4, 30] from Operation: 97-67=30
Current State: 60:[60, 4, 30], Operations: ['97-67=30']
Exploring Operation: 4*30=120, Resulting Numbers: [60, 120]
Generated Node #3: [60, 120] from Operation: 4*30=120
Current State: 60:[60, 120], Operations: ['97-67=30', '4*30=120']
Exploring Operation: 120-60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
30,
74,
59,
91
] | 79 | [
"59+91=150",
"150/30=5",
"74+5=79"
] | Current State: 79:[30, 74, 59, 91], Operations: []
Exploring Operation: 59+91=150, Resulting Numbers: [30, 74, 150]
Generated Node #2: [30, 74, 150] from Operation: 59+91=150
Current State: 79:[30, 74, 150], Operations: ['59+91=150']
Exploring Operation: 150/30=5, Resulting Numbers: [74, 5]
Generated Node #3: [74, 5] from Operation: 150/30=5
Current State: 79:[74, 5], Operations: ['59+91=150', '150/30=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
50,
15,
21,
35
] | 15 | [
"50*15=750",
"21*35=735",
"750-735=15"
] | Current State: 15:[50, 15, 21, 35], Operations: []
Exploring Operation: 50*15=750, Resulting Numbers: [21, 35, 750]
Generated Node #2: [21, 35, 750] from Operation: 50*15=750
Current State: 15:[21, 35, 750], Operations: ['50*15=750']
Exploring Operation: 21*35=735, Resulting Numbers: [750, 735]
Generated Node #3: [750, 735] from Operation: 21*35=735
Current State: 15:[750, 735], Operations: ['50*15=750', '21*35=735']
Exploring Operation: 750-735=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
91,
89,
80,
87
] | 13 | [
"91+89=180",
"80+87=167",
"180-167=13"
] | Current State: 13:[91, 89, 80, 87], Operations: []
Exploring Operation: 91+89=180, Resulting Numbers: [80, 87, 180]
Generated Node #2: [80, 87, 180] from Operation: 91+89=180
Current State: 13:[80, 87, 180], Operations: ['91+89=180']
Exploring Operation: 80+87=167, Resulting Numbers: [180, 167]
Generated Node #3: [180, 167] from Operation: 80+87=167
Current State: 13:[180, 167], Operations: ['91+89=180', '80+87=167']
Exploring Operation: 180-167=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
29,
52,
13,
48
] | 76 | [
"48-29=19",
"52/13=4",
"19*4=76"
] | Current State: 76:[29, 52, 13, 48], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [52, 13, 19]
Generated Node #2: [52, 13, 19] from Operation: 48-29=19
Current State: 76:[52, 13, 19], Operations: ['48-29=19']
Exploring Operation: 52/13=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 52/13=4
Current State: 76:[19, 4], Operations: ['48-29=19', '52/13=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
8,
68,
54,
27
] | 62 | [
"68-8=60",
"54/27=2",
"60+2=62"
] | Current State: 62:[8, 68, 54, 27], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [54, 27, 60]
Generated Node #2: [54, 27, 60] from Operation: 68-8=60
Current State: 62:[54, 27, 60], Operations: ['68-8=60']
Exploring Operation: 54/27=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 54/27=2
Current State: 62:[60, 2], Operations: ['68-8=60', '54/27=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
29,
65,
24,
80
] | 67 | [
"29-24=5",
"65/5=13",
"80-13=67"
] | Current State: 67:[29, 65, 24, 80], Operations: []
Exploring Operation: 29-24=5, Resulting Numbers: [65, 80, 5]
Generated Node #2: [65, 80, 5] from Operation: 29-24=5
Current State: 67:[65, 80, 5], Operations: ['29-24=5']
Exploring Operation: 65/5=13, Resulting Numbers: [80, 13]
Generated Node #3: [80, 13] from Operation: 65/5=13
Current State: 67:[80, 13], Operations: ['29-24=5', '65/5=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
34,
53,
3,
64
] | 43 | [
"64-34=30",
"30/3=10",
"53-10=43"
] | Current State: 43:[34, 53, 3, 64], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [53, 3, 30]
Generated Node #2: [53, 3, 30] from Operation: 64-34=30
Current State: 43:[53, 3, 30], Operations: ['64-34=30']
Exploring Operation: 30/3=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 30/3=10
Current State: 43:[53, 10], Operations: ['64-34=30', '30/3=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
20,
77,
37,
17
] | 43 | [
"20+77=97",
"37+17=54",
"97-54=43"
] | Current State: 43:[20, 77, 37, 17], Operations: []
Exploring Operation: 20+77=97, Resulting Numbers: [37, 17, 97]
Generated Node #2: [37, 17, 97] from Operation: 20+77=97
Current State: 43:[37, 17, 97], Operations: ['20+77=97']
Exploring Operation: 37+17=54, Resulting Numbers: [97, 54]
Generated Node #3: [97, 54] from Operation: 37+17=54
Current State: 43:[97, 54], Operations: ['20+77=97', '37+17=54']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
4,
99,
66,
33
] | 20 | [
"99+66=165",
"4*165=660",
"660/33=20"
] | Current State: 20:[4, 99, 66, 33], Operations: []
Exploring Operation: 99+66=165, Resulting Numbers: [4, 33, 165]
Generated Node #2: [4, 33, 165] from Operation: 99+66=165
Current State: 20:[4, 33, 165], Operations: ['99+66=165']
Exploring Operation: 4*165=660, Resulting Numbers: [33, 660]
Generated Node #3: [33, 660] from Operation: 4*165=660
Current State: 20:[33, 660], Operations: ['99+66=165', '4*165=660']
Exploring Operation: 660/33=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
15,
75,
10,
6
] | 36 | [
"75-15=60",
"60/10=6",
"6*6=36"
] | Current State: 36:[15, 75, 10, 6], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [10, 6, 60]
Generated Node #2: [10, 6, 60] from Operation: 75-15=60
Current State: 36:[10, 6, 60], Operations: ['75-15=60']
Exploring Operation: 60/10=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 60/10=6
Current State: 36:[6, 6], Operations: ['75-15=60', '60/10=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
76,
11,
3,
89
] | 27 | [
"76-11=65",
"3+89=92",
"92-65=27"
] | Current State: 27:[76, 11, 3, 89], Operations: []
Exploring Operation: 76-11=65, Resulting Numbers: [3, 89, 65]
Generated Node #2: [3, 89, 65] from Operation: 76-11=65
Current State: 27:[3, 89, 65], Operations: ['76-11=65']
Exploring Operation: 3+89=92, Resulting Numbers: [65, 92]
Generated Node #3: [65, 92] from Operation: 3+89=92
Current State: 27:[65, 92], Operations: ['76-11=65', '3+89=92']
Exploring Operation: 92-65=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
34,
20,
31,
9
] | 37 | [
"34+20=54",
"54/9=6",
"31+6=37"
] | Current State: 37:[34, 20, 31, 9], Operations: []
Exploring Operation: 34+20=54, Resulting Numbers: [31, 9, 54]
Generated Node #2: [31, 9, 54] from Operation: 34+20=54
Current State: 37:[31, 9, 54], Operations: ['34+20=54']
Exploring Operation: 54/9=6, Resulting Numbers: [31, 6]
Generated Node #3: [31, 6] from Operation: 54/9=6
Current State: 37:[31, 6], Operations: ['34+20=54', '54/9=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
92,
54,
43,
13
] | 68 | [
"92-54=38",
"43-13=30",
"38+30=68"
] | Current State: 68:[92, 54, 43, 13], Operations: []
Exploring Operation: 92-54=38, Resulting Numbers: [43, 13, 38]
Generated Node #2: [43, 13, 38] from Operation: 92-54=38
Current State: 68:[43, 13, 38], Operations: ['92-54=38']
Exploring Operation: 43-13=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 43-13=30
Current State: 68:[38, 30], Operations: ['92-54=38', '43-13=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
44,
87,
12,
17
] | 48 | [
"87-44=43",
"17-12=5",
"43+5=48"
] | Current State: 48:[44, 87, 12, 17], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [12, 17, 43]
Generated Node #2: [12, 17, 43] from Operation: 87-44=43
Current State: 48:[12, 17, 43], Operations: ['87-44=43']
Exploring Operation: 17-12=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 17-12=5
Current State: 48:[43, 5], Operations: ['87-44=43', '17-12=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
42,
54,
42,
78
] | 25 | [
"42/42=1",
"78-54=24",
"1+24=25"
] | Current State: 25:[42, 54, 42, 78], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [54, 78, 1]
Generated Node #2: [54, 78, 1] from Operation: 42/42=1
Current State: 25:[54, 78, 1], Operations: ['42/42=1']
Exploring Operation: 78-54=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 78-54=24
Current State: 25:[1, 24], Operations: ['42/42=1', '78-54=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
86,
59,
63,
11
] | 42 | [
"63-59=4",
"11*4=44",
"86-44=42"
] | Current State: 42:[86, 59, 63, 11], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [86, 11, 4]
Generated Node #2: [86, 11, 4] from Operation: 63-59=4
Current State: 42:[86, 11, 4], Operations: ['63-59=4']
Exploring Operation: 11*4=44, Resulting Numbers: [86, 44]
Generated Node #3: [86, 44] from Operation: 11*4=44
Current State: 42:[86, 44], Operations: ['63-59=4', '11*4=44']
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
13,
52,
12,
59
] | 46 | [
"13+59=72",
"72/12=6",
"52-6=46"
] | Current State: 46:[13, 52, 12, 59], Operations: []
Exploring Operation: 13+59=72, Resulting Numbers: [52, 12, 72]
Generated Node #2: [52, 12, 72] from Operation: 13+59=72
Current State: 46:[52, 12, 72], Operations: ['13+59=72']
Exploring Operation: 72/12=6, Resulting Numbers: [52, 6]
Generated Node #3: [52, 6] from Operation: 72/12=6
Current State: 46:[52, 6], Operations: ['13+59=72', '72/12=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
38,
56,
54,
3
] | 38 | [
"56-54=2",
"3-2=1",
"38*1=38"
] | Current State: 38:[38, 56, 54, 3], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [38, 3, 2]
Generated Node #2: [38, 3, 2] from Operation: 56-54=2
Current State: 38:[38, 3, 2], Operations: ['56-54=2']
Exploring Operation: 3-2=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 3-2=1
Current State: 38:[38, 1], Operations: ['56-54=2', '3-2=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
29,
41,
8
] | 64 | [
"41-29=12",
"12-8=4",
"16*4=64"
] | Current State: 64:[16, 29, 41, 8], Operations: []
Exploring Operation: 41-29=12, Resulting Numbers: [16, 8, 12]
Generated Node #2: [16, 8, 12] from Operation: 41-29=12
Current State: 64:[16, 8, 12], Operations: ['41-29=12']
Exploring Operation: 12-8=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 12-8=4
Current State: 64:[16, 4], Operations: ['41-29=12', '12-8=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
91,
59,
76,
35
] | 39 | [
"91+59=150",
"76+35=111",
"150-111=39"
] | Current State: 39:[91, 59, 76, 35], Operations: []
Exploring Operation: 91+59=150, Resulting Numbers: [76, 35, 150]
Generated Node #2: [76, 35, 150] from Operation: 91+59=150
Current State: 39:[76, 35, 150], Operations: ['91+59=150']
Exploring Operation: 76+35=111, Resulting Numbers: [150, 111]
Generated Node #3: [150, 111] from Operation: 76+35=111
Current State: 39:[150, 111], Operations: ['91+59=150', '76+35=111']
Exploring Operation: 150-111=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
31,
77,
15,
39
] | 100 | [
"77-31=46",
"15+39=54",
"46+54=100"
] | Current State: 100:[31, 77, 15, 39], Operations: []
Exploring Operation: 77-31=46, Resulting Numbers: [15, 39, 46]
Generated Node #2: [15, 39, 46] from Operation: 77-31=46
Current State: 100:[15, 39, 46], Operations: ['77-31=46']
Exploring Operation: 15+39=54, Resulting Numbers: [46, 54]
Generated Node #3: [46, 54] from Operation: 15+39=54
Current State: 100:[46, 54], Operations: ['77-31=46', '15+39=54']
Exploring Operation: 46+54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
55,
74,
20,
22
] | 87 | [
"55+74=129",
"20+22=42",
"129-42=87"
] | Current State: 87:[55, 74, 20, 22], Operations: []
Exploring Operation: 55+74=129, Resulting Numbers: [20, 22, 129]
Generated Node #2: [20, 22, 129] from Operation: 55+74=129
Current State: 87:[20, 22, 129], Operations: ['55+74=129']
Exploring Operation: 20+22=42, Resulting Numbers: [129, 42]
Generated Node #3: [129, 42] from Operation: 20+22=42
Current State: 87:[129, 42], Operations: ['55+74=129', '20+22=42']
Exploring Operation: 129-42=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
72,
36,
93,
18
] | 91 | [
"72-36=36",
"36/18=2",
"93-2=91"
] | Current State: 91:[72, 36, 93, 18], Operations: []
Exploring Operation: 72-36=36, Resulting Numbers: [93, 18, 36]
Generated Node #2: [93, 18, 36] from Operation: 72-36=36
Current State: 91:[93, 18, 36], Operations: ['72-36=36']
Exploring Operation: 36/18=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 36/18=2
Current State: 91:[93, 2], Operations: ['72-36=36', '36/18=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
64,
98,
62,
32
] | 65 | [
"64-62=2",
"98+32=130",
"130/2=65"
] | Current State: 65:[64, 98, 62, 32], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [98, 32, 2]
Generated Node #2: [98, 32, 2] from Operation: 64-62=2
Current State: 65:[98, 32, 2], Operations: ['64-62=2']
Exploring Operation: 98+32=130, Resulting Numbers: [2, 130]
Generated Node #3: [2, 130] from Operation: 98+32=130
Current State: 65:[2, 130], Operations: ['64-62=2', '98+32=130']
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
10,
30,
19,
24
] | 100 | [
"30-10=20",
"24-19=5",
"20*5=100"
] | Current State: 100:[10, 30, 19, 24], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [19, 24, 20]
Generated Node #2: [19, 24, 20] from Operation: 30-10=20
Current State: 100:[19, 24, 20], Operations: ['30-10=20']
Exploring Operation: 24-19=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 24-19=5
Current State: 100:[20, 5], Operations: ['30-10=20', '24-19=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
99,
99,
76,
78
] | 78 | [
"99-99=0",
"76*0=0",
"78+0=78"
] | Current State: 78:[99, 99, 76, 78], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [76, 78, 0]
Generated Node #2: [76, 78, 0] from Operation: 99-99=0
Current State: 78:[76, 78, 0], Operations: ['99-99=0']
Exploring Operation: 76*0=0, Resulting Numbers: [78, 0]
Generated Node #3: [78, 0] from Operation: 76*0=0
Current State: 78:[78, 0], Operations: ['99-99=0', '76*0=0']
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
46,
53,
56,
35
] | 98 | [
"53-46=7",
"56+35=91",
"7+91=98"
] | Current State: 98:[46, 53, 56, 35], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [56, 35, 7]
Generated Node #2: [56, 35, 7] from Operation: 53-46=7
Current State: 98:[56, 35, 7], Operations: ['53-46=7']
Exploring Operation: 56+35=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 56+35=91
Current State: 98:[7, 91], Operations: ['53-46=7', '56+35=91']
Exploring Operation: 7+91=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
67,
8,
11,
80
] | 59 | [
"67+80=147",
"8*11=88",
"147-88=59"
] | Current State: 59:[67, 8, 11, 80], Operations: []
Exploring Operation: 67+80=147, Resulting Numbers: [8, 11, 147]
Generated Node #2: [8, 11, 147] from Operation: 67+80=147
Current State: 59:[8, 11, 147], Operations: ['67+80=147']
Exploring Operation: 8*11=88, Resulting Numbers: [147, 88]
Generated Node #3: [147, 88] from Operation: 8*11=88
Current State: 59:[147, 88], Operations: ['67+80=147', '8*11=88']
Exploring Operation: 147-88=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
74,
52,
86,
88
] | 44 | [
"74-52=22",
"88-86=2",
"22*2=44"
] | Current State: 44:[74, 52, 86, 88], Operations: []
Exploring Operation: 74-52=22, Resulting Numbers: [86, 88, 22]
Generated Node #2: [86, 88, 22] from Operation: 74-52=22
Current State: 44:[86, 88, 22], Operations: ['74-52=22']
Exploring Operation: 88-86=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 88-86=2
Current State: 44:[22, 2], Operations: ['74-52=22', '88-86=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
58,
4,
34,
26
] | 62 | [
"58-4=54",
"34-26=8",
"54+8=62"
] | Current State: 62:[58, 4, 34, 26], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [34, 26, 54]
Generated Node #2: [34, 26, 54] from Operation: 58-4=54
Current State: 62:[34, 26, 54], Operations: ['58-4=54']
Exploring Operation: 34-26=8, Resulting Numbers: [54, 8]
Generated Node #3: [54, 8] from Operation: 34-26=8
Current State: 62:[54, 8], Operations: ['58-4=54', '34-26=8']
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
16,
89,
76,
12
] | 94 | [
"76-16=60",
"60/12=5",
"89+5=94"
] | Current State: 94:[16, 89, 76, 12], Operations: []
Exploring Operation: 76-16=60, Resulting Numbers: [89, 12, 60]
Generated Node #2: [89, 12, 60] from Operation: 76-16=60
Current State: 94:[89, 12, 60], Operations: ['76-16=60']
Exploring Operation: 60/12=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 60/12=5
Current State: 94:[89, 5], Operations: ['76-16=60', '60/12=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
41,
94,
3,
56
] | 73 | [
"94-56=38",
"3*38=114",
"114-41=73"
] | Current State: 73:[41, 94, 3, 56], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [41, 3, 38]
Generated Node #2: [41, 3, 38] from Operation: 94-56=38
Current State: 73:[41, 3, 38], Operations: ['94-56=38']
Exploring Operation: 3*38=114, Resulting Numbers: [41, 114]
Generated Node #3: [41, 114] from Operation: 3*38=114
Current State: 73:[41, 114], Operations: ['94-56=38', '3*38=114']
Exploring Operation: 114-41=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
77,
44,
12,
62
] | 17 | [
"77-44=33",
"62-12=50",
"50-33=17"
] | Current State: 17:[77, 44, 12, 62], Operations: []
Exploring Operation: 77-44=33, Resulting Numbers: [12, 62, 33]
Generated Node #2: [12, 62, 33] from Operation: 77-44=33
Current State: 17:[12, 62, 33], Operations: ['77-44=33']
Exploring Operation: 62-12=50, Resulting Numbers: [33, 50]
Generated Node #3: [33, 50] from Operation: 62-12=50
Current State: 17:[33, 50], Operations: ['77-44=33', '62-12=50']
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
90,
86,
12,
88
] | 10 | [
"90+86=176",
"176/88=2",
"12-2=10"
] | Current State: 10:[90, 86, 12, 88], Operations: []
Exploring Operation: 90+86=176, Resulting Numbers: [12, 88, 176]
Generated Node #2: [12, 88, 176] from Operation: 90+86=176
Current State: 10:[12, 88, 176], Operations: ['90+86=176']
Exploring Operation: 176/88=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 176/88=2
Current State: 10:[12, 2], Operations: ['90+86=176', '176/88=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
15,
36,
30
] | 13 | [
"68-15=53",
"36+30=66",
"66-53=13"
] | Current State: 13:[68, 15, 36, 30], Operations: []
Exploring Operation: 68-15=53, Resulting Numbers: [36, 30, 53]
Generated Node #2: [36, 30, 53] from Operation: 68-15=53
Current State: 13:[36, 30, 53], Operations: ['68-15=53']
Exploring Operation: 36+30=66, Resulting Numbers: [53, 66]
Generated Node #3: [53, 66] from Operation: 36+30=66
Current State: 13:[53, 66], Operations: ['68-15=53', '36+30=66']
Exploring Operation: 66-53=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
46,
96,
96,
6
] | 34 | [
"96-46=50",
"96/6=16",
"50-16=34"
] | Current State: 34:[46, 96, 96, 6], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [6, 50]
Generated Node #2: [6, 50] from Operation: 96-46=50
Current State: 34:[6, 50], Operations: ['96-46=50']
Exploring Operation: 96/6=16, Resulting Numbers: [50, 16]
Generated Node #3: [50, 16] from Operation: 96/6=16
Current State: 34:[50, 16], Operations: ['96-46=50', '96/6=16']
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
25,
96,
99,
97
] | 69 | [
"96-25=71",
"99-97=2",
"71-2=69"
] | Current State: 69:[25, 96, 99, 97], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [99, 97, 71]
Generated Node #2: [99, 97, 71] from Operation: 96-25=71
Current State: 69:[99, 97, 71], Operations: ['96-25=71']
Exploring Operation: 99-97=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 99-97=2
Current State: 69:[71, 2], Operations: ['96-25=71', '99-97=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
80,
9,
25,
14
] | 40 | [
"25-9=16",
"16-14=2",
"80/2=40"
] | Current State: 40:[80, 9, 25, 14], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [80, 14, 16]
Generated Node #2: [80, 14, 16] from Operation: 25-9=16
Current State: 40:[80, 14, 16], Operations: ['25-9=16']
Exploring Operation: 16-14=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 16-14=2
Current State: 40:[80, 2], Operations: ['25-9=16', '16-14=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
24,
6,
86,
48
] | 46 | [
"48/24=2",
"6+86=92",
"92/2=46"
] | Current State: 46:[24, 6, 86, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [6, 86, 2]
Generated Node #2: [6, 86, 2] from Operation: 48/24=2
Current State: 46:[6, 86, 2], Operations: ['48/24=2']
Exploring Operation: 6+86=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 6+86=92
Current State: 46:[2, 92], Operations: ['48/24=2', '6+86=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
4,
98,
44,
38
] | 96 | [
"4+98=102",
"44-38=6",
"102-6=96"
] | Current State: 96:[4, 98, 44, 38], Operations: []
Exploring Operation: 4+98=102, Resulting Numbers: [44, 38, 102]
Generated Node #2: [44, 38, 102] from Operation: 4+98=102
Current State: 96:[44, 38, 102], Operations: ['4+98=102']
Exploring Operation: 44-38=6, Resulting Numbers: [102, 6]
Generated Node #3: [102, 6] from Operation: 44-38=6
Current State: 96:[102, 6], Operations: ['4+98=102', '44-38=6']
Exploring Operation: 102-6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
3,
86,
7,
59
] | 28 | [
"86+7=93",
"93/3=31",
"59-31=28"
] | Current State: 28:[3, 86, 7, 59], Operations: []
Exploring Operation: 86+7=93, Resulting Numbers: [3, 59, 93]
Generated Node #2: [3, 59, 93] from Operation: 86+7=93
Current State: 28:[3, 59, 93], Operations: ['86+7=93']
Exploring Operation: 93/3=31, Resulting Numbers: [59, 31]
Generated Node #3: [59, 31] from Operation: 93/3=31
Current State: 28:[59, 31], Operations: ['86+7=93', '93/3=31']
Exploring Operation: 59-31=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
23,
32,
92,
49
] | 13 | [
"92/23=4",
"49-32=17",
"17-4=13"
] | Current State: 13:[23, 32, 92, 49], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [32, 49, 4]
Generated Node #2: [32, 49, 4] from Operation: 92/23=4
Current State: 13:[32, 49, 4], Operations: ['92/23=4']
Exploring Operation: 49-32=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 49-32=17
Current State: 13:[4, 17], Operations: ['92/23=4', '49-32=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
10,
91,
9,
56
] | 65 | [
"91-10=81",
"81/9=9",
"56+9=65"
] | Current State: 65:[10, 91, 9, 56], Operations: []
Exploring Operation: 91-10=81, Resulting Numbers: [9, 56, 81]
Generated Node #2: [9, 56, 81] from Operation: 91-10=81
Current State: 65:[9, 56, 81], Operations: ['91-10=81']
Exploring Operation: 81/9=9, Resulting Numbers: [56, 9]
Generated Node #3: [56, 9] from Operation: 81/9=9
Current State: 65:[56, 9], Operations: ['91-10=81', '81/9=9']
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
8,
56,
26
] | 32 | [
"56-8=48",
"48/8=6",
"26+6=32"
] | Current State: 32:[8, 8, 56, 26], Operations: []
Exploring Operation: 56-8=48, Resulting Numbers: [26, 48]
Generated Node #2: [26, 48] from Operation: 56-8=48
Current State: 32:[26, 48], Operations: ['56-8=48']
Exploring Operation: 48/8=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 48/8=6
Current State: 32:[26, 6], Operations: ['56-8=48', '48/8=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
48,
13,
88,
7
] | 51 | [
"88-48=40",
"13*7=91",
"91-40=51"
] | Current State: 51:[48, 13, 88, 7], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [13, 7, 40]
Generated Node #2: [13, 7, 40] from Operation: 88-48=40
Current State: 51:[13, 7, 40], Operations: ['88-48=40']
Exploring Operation: 13*7=91, Resulting Numbers: [40, 91]
Generated Node #3: [40, 91] from Operation: 13*7=91
Current State: 51:[40, 91], Operations: ['88-48=40', '13*7=91']
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
62,
60,
46
] | 72 | [
"62-60=2",
"13*2=26",
"46+26=72"
] | Current State: 72:[13, 62, 60, 46], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [13, 46, 2]
Generated Node #2: [13, 46, 2] from Operation: 62-60=2
Current State: 72:[13, 46, 2], Operations: ['62-60=2']
Exploring Operation: 13*2=26, Resulting Numbers: [46, 26]
Generated Node #3: [46, 26] from Operation: 13*2=26
Current State: 72:[46, 26], Operations: ['62-60=2', '13*2=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
27,
7,
11,
69
] | 100 | [
"27-7=20",
"11+69=80",
"20+80=100"
] | Current State: 100:[27, 7, 11, 69], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [11, 69, 20]
Generated Node #2: [11, 69, 20] from Operation: 27-7=20
Current State: 100:[11, 69, 20], Operations: ['27-7=20']
Exploring Operation: 11+69=80, Resulting Numbers: [20, 80]
Generated Node #3: [20, 80] from Operation: 11+69=80
Current State: 100:[20, 80], Operations: ['27-7=20', '11+69=80']
Exploring Operation: 20+80=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
23,
62,
12,
21
] | 19 | [
"23-21=2",
"62/2=31",
"31-12=19"
] | Current State: 19:[23, 62, 12, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [62, 12, 2]
Generated Node #2: [62, 12, 2] from Operation: 23-21=2
Current State: 19:[62, 12, 2], Operations: ['23-21=2']
Exploring Operation: 62/2=31, Resulting Numbers: [12, 31]
Generated Node #3: [12, 31] from Operation: 62/2=31
Current State: 19:[12, 31], Operations: ['23-21=2', '62/2=31']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
70,
25,
96,
2
] | 27 | [
"96-70=26",
"2*26=52",
"52-25=27"
] | Current State: 27:[70, 25, 96, 2], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [25, 2, 26]
Generated Node #2: [25, 2, 26] from Operation: 96-70=26
Current State: 27:[25, 2, 26], Operations: ['96-70=26']
Exploring Operation: 2*26=52, Resulting Numbers: [25, 52]
Generated Node #3: [25, 52] from Operation: 2*26=52
Current State: 27:[25, 52], Operations: ['96-70=26', '2*26=52']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
20,
13,
94
] | 47 | [
"35-20=15",
"15-13=2",
"94/2=47"
] | Current State: 47:[35, 20, 13, 94], Operations: []
Exploring Operation: 35-20=15, Resulting Numbers: [13, 94, 15]
Generated Node #2: [13, 94, 15] from Operation: 35-20=15
Current State: 47:[13, 94, 15], Operations: ['35-20=15']
Exploring Operation: 15-13=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 15-13=2
Current State: 47:[94, 2], Operations: ['35-20=15', '15-13=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
19,
2,
77
] | 58 | [
"20+19=39",
"77+39=116",
"116/2=58"
] | Current State: 58:[20, 19, 2, 77], Operations: []
Exploring Operation: 20+19=39, Resulting Numbers: [2, 77, 39]
Generated Node #2: [2, 77, 39] from Operation: 20+19=39
Current State: 58:[2, 77, 39], Operations: ['20+19=39']
Exploring Operation: 77+39=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 77+39=116
Current State: 58:[2, 116], Operations: ['20+19=39', '77+39=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
17,
70,
19,
47
] | 81 | [
"70-17=53",
"47-19=28",
"53+28=81"
] | Current State: 81:[17, 70, 19, 47], Operations: []
Exploring Operation: 70-17=53, Resulting Numbers: [19, 47, 53]
Generated Node #2: [19, 47, 53] from Operation: 70-17=53
Current State: 81:[19, 47, 53], Operations: ['70-17=53']
Exploring Operation: 47-19=28, Resulting Numbers: [53, 28]
Generated Node #3: [53, 28] from Operation: 47-19=28
Current State: 81:[53, 28], Operations: ['70-17=53', '47-19=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
26,
64,
5,
46
] | 79 | [
"64-26=38",
"46-5=41",
"38+41=79"
] | Current State: 79:[26, 64, 5, 46], Operations: []
Exploring Operation: 64-26=38, Resulting Numbers: [5, 46, 38]
Generated Node #2: [5, 46, 38] from Operation: 64-26=38
Current State: 79:[5, 46, 38], Operations: ['64-26=38']
Exploring Operation: 46-5=41, Resulting Numbers: [38, 41]
Generated Node #3: [38, 41] from Operation: 46-5=41
Current State: 79:[38, 41], Operations: ['64-26=38', '46-5=41']
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
17,
22,
3,
87
] | 38 | [
"17+87=104",
"22*3=66",
"104-66=38"
] | Current State: 38:[17, 22, 3, 87], Operations: []
Exploring Operation: 17+87=104, Resulting Numbers: [22, 3, 104]
Generated Node #2: [22, 3, 104] from Operation: 17+87=104
Current State: 38:[22, 3, 104], Operations: ['17+87=104']
Exploring Operation: 22*3=66, Resulting Numbers: [104, 66]
Generated Node #3: [104, 66] from Operation: 22*3=66
Current State: 38:[104, 66], Operations: ['17+87=104', '22*3=66']
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
46,
24,
46,
82
] | 59 | [
"46/46=1",
"82-24=58",
"1+58=59"
] | Current State: 59:[46, 24, 46, 82], Operations: []
Exploring Operation: 46/46=1, Resulting Numbers: [24, 82, 1]
Generated Node #2: [24, 82, 1] from Operation: 46/46=1
Current State: 59:[24, 82, 1], Operations: ['46/46=1']
Exploring Operation: 82-24=58, Resulting Numbers: [1, 58]
Generated Node #3: [1, 58] from Operation: 82-24=58
Current State: 59:[1, 58], Operations: ['46/46=1', '82-24=58']
Exploring Operation: 1+58=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
16,
22,
44,
37
] | 43 | [
"16+22=38",
"44+37=81",
"81-38=43"
] | Current State: 43:[16, 22, 44, 37], Operations: []
Exploring Operation: 16+22=38, Resulting Numbers: [44, 37, 38]
Generated Node #2: [44, 37, 38] from Operation: 16+22=38
Current State: 43:[44, 37, 38], Operations: ['16+22=38']
Exploring Operation: 44+37=81, Resulting Numbers: [38, 81]
Generated Node #3: [38, 81] from Operation: 44+37=81
Current State: 43:[38, 81], Operations: ['16+22=38', '44+37=81']
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
8,
34,
21,
14
] | 91 | [
"34*21=714",
"14+714=728",
"728/8=91"
] | Current State: 91:[8, 34, 21, 14], Operations: []
Exploring Operation: 34*21=714, Resulting Numbers: [8, 14, 714]
Generated Node #2: [8, 14, 714] from Operation: 34*21=714
Current State: 91:[8, 14, 714], Operations: ['34*21=714']
Exploring Operation: 14+714=728, Resulting Numbers: [8, 728]
Generated Node #3: [8, 728] from Operation: 14+714=728
Current State: 91:[8, 728], Operations: ['34*21=714', '14+714=728']
Exploring Operation: 728/8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
29,
48,
16,
93
] | 32 | [
"29+48=77",
"16+93=109",
"109-77=32"
] | Current State: 32:[29, 48, 16, 93], Operations: []
Exploring Operation: 29+48=77, Resulting Numbers: [16, 93, 77]
Generated Node #2: [16, 93, 77] from Operation: 29+48=77
Current State: 32:[16, 93, 77], Operations: ['29+48=77']
Exploring Operation: 16+93=109, Resulting Numbers: [77, 109]
Generated Node #3: [77, 109] from Operation: 16+93=109
Current State: 32:[77, 109], Operations: ['29+48=77', '16+93=109']
Exploring Operation: 109-77=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
63,
57,
60,
2
] | 19 | [
"60-57=3",
"63/3=21",
"21-2=19"
] | Current State: 19:[63, 57, 60, 2], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [63, 2, 3]
Generated Node #2: [63, 2, 3] from Operation: 60-57=3
Current State: 19:[63, 2, 3], Operations: ['60-57=3']
Exploring Operation: 63/3=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 63/3=21
Current State: 19:[2, 21], Operations: ['60-57=3', '63/3=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
78,
80,
46,
40
] | 52 | [
"80-78=2",
"46*2=92",
"92-40=52"
] | Current State: 52:[78, 80, 46, 40], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [46, 40, 2]
Generated Node #2: [46, 40, 2] from Operation: 80-78=2
Current State: 52:[46, 40, 2], Operations: ['80-78=2']
Exploring Operation: 46*2=92, Resulting Numbers: [40, 92]
Generated Node #3: [40, 92] from Operation: 46*2=92
Current State: 52:[40, 92], Operations: ['80-78=2', '46*2=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
21,
15,
93,
42
] | 45 | [
"21-15=6",
"93-42=51",
"51-6=45"
] | Current State: 45:[21, 15, 93, 42], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [93, 42, 6]
Generated Node #2: [93, 42, 6] from Operation: 21-15=6
Current State: 45:[93, 42, 6], Operations: ['21-15=6']
Exploring Operation: 93-42=51, Resulting Numbers: [6, 51]
Generated Node #3: [6, 51] from Operation: 93-42=51
Current State: 45:[6, 51], Operations: ['21-15=6', '93-42=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
65,
30,
76,
30
] | 81 | [
"65-30=35",
"76-30=46",
"35+46=81"
] | Current State: 81:[65, 30, 76, 30], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [76, 35]
Generated Node #2: [76, 35] from Operation: 65-30=35
Current State: 81:[76, 35], Operations: ['65-30=35']
Exploring Operation: 76-30=46, Resulting Numbers: [35, 46]
Generated Node #3: [35, 46] from Operation: 76-30=46
Current State: 81:[35, 46], Operations: ['65-30=35', '76-30=46']
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
1,
52,
54,
9
] | 47 | [
"1+52=53",
"54/9=6",
"53-6=47"
] | Current State: 47:[1, 52, 54, 9], Operations: []
Exploring Operation: 1+52=53, Resulting Numbers: [54, 9, 53]
Generated Node #2: [54, 9, 53] from Operation: 1+52=53
Current State: 47:[54, 9, 53], Operations: ['1+52=53']
Exploring Operation: 54/9=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 54/9=6
Current State: 47:[53, 6], Operations: ['1+52=53', '54/9=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
57,
70,
44,
65
] | 14 | [
"57-44=13",
"70*13=910",
"910/65=14"
] | Current State: 14:[57, 70, 44, 65], Operations: []
Exploring Operation: 57-44=13, Resulting Numbers: [70, 65, 13]
Generated Node #2: [70, 65, 13] from Operation: 57-44=13
Current State: 14:[70, 65, 13], Operations: ['57-44=13']
Exploring Operation: 70*13=910, Resulting Numbers: [65, 910]
Generated Node #3: [65, 910] from Operation: 70*13=910
Current State: 14:[65, 910], Operations: ['57-44=13', '70*13=910']
Exploring Operation: 910/65=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
12,
26,
46,
32
] | 38 | [
"26+46=72",
"72/12=6",
"32+6=38"
] | Current State: 38:[12, 26, 46, 32], Operations: []
Exploring Operation: 26+46=72, Resulting Numbers: [12, 32, 72]
Generated Node #2: [12, 32, 72] from Operation: 26+46=72
Current State: 38:[12, 32, 72], Operations: ['26+46=72']
Exploring Operation: 72/12=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 72/12=6
Current State: 38:[32, 6], Operations: ['26+46=72', '72/12=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
21,
99,
95,
12
] | 36 | [
"21-12=9",
"99-95=4",
"9*4=36"
] | Current State: 36:[21, 99, 95, 12], Operations: []
Exploring Operation: 21-12=9, Resulting Numbers: [99, 95, 9]
Generated Node #2: [99, 95, 9] from Operation: 21-12=9
Current State: 36:[99, 95, 9], Operations: ['21-12=9']
Exploring Operation: 99-95=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 99-95=4
Current State: 36:[9, 4], Operations: ['21-12=9', '99-95=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
86,
5,
24,
22
] | 48 | [
"86-24=62",
"5*22=110",
"110-62=48"
] | Current State: 48:[86, 5, 24, 22], Operations: []
Exploring Operation: 86-24=62, Resulting Numbers: [5, 22, 62]
Generated Node #2: [5, 22, 62] from Operation: 86-24=62
Current State: 48:[5, 22, 62], Operations: ['86-24=62']
Exploring Operation: 5*22=110, Resulting Numbers: [62, 110]
Generated Node #3: [62, 110] from Operation: 5*22=110
Current State: 48:[62, 110], Operations: ['86-24=62', '5*22=110']
Exploring Operation: 110-62=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
77,
32,
70,
88
] | 48 | [
"70*88=6160",
"6160/77=80",
"80-32=48"
] | Current State: 48:[77, 32, 70, 88], Operations: []
Exploring Operation: 70*88=6160, Resulting Numbers: [77, 32, 6160]
Generated Node #2: [77, 32, 6160] from Operation: 70*88=6160
Current State: 48:[77, 32, 6160], Operations: ['70*88=6160']
Exploring Operation: 6160/77=80, Resulting Numbers: [32, 80]
Generated Node #3: [32, 80] from Operation: 6160/77=80
Current State: 48:[32, 80], Operations: ['70*88=6160', '6160/77=80']
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
68,
57,
59
] | 63 | [
"59-57=2",
"10/2=5",
"68-5=63"
] | Current State: 63:[10, 68, 57, 59], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [10, 68, 2]
Generated Node #2: [10, 68, 2] from Operation: 59-57=2
Current State: 63:[10, 68, 2], Operations: ['59-57=2']
Exploring Operation: 10/2=5, Resulting Numbers: [68, 5]
Generated Node #3: [68, 5] from Operation: 10/2=5
Current State: 63:[68, 5], Operations: ['59-57=2', '10/2=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
34,
24,
36,
42
] | 60 | [
"34-24=10",
"42-36=6",
"10*6=60"
] | Current State: 60:[34, 24, 36, 42], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [36, 42, 10]
Generated Node #2: [36, 42, 10] from Operation: 34-24=10
Current State: 60:[36, 42, 10], Operations: ['34-24=10']
Exploring Operation: 42-36=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 42-36=6
Current State: 60:[10, 6], Operations: ['34-24=10', '42-36=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
23,
2,
23,
58
] | 47 | [
"58-23=35",
"2*35=70",
"70-23=47"
] | Current State: 47:[23, 2, 23, 58], Operations: []
Exploring Operation: 58-23=35, Resulting Numbers: [2, 35]
Generated Node #2: [2, 35] from Operation: 58-23=35
Current State: 47:[2, 35], Operations: ['58-23=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,47 equal: Goal Reached
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
58,
58,
76,
57
] | 97 | [
"58+58=116",
"76-57=19",
"116-19=97"
] | Current State: 97:[58, 58, 76, 57], Operations: []
Exploring Operation: 58+58=116, Resulting Numbers: [76, 57, 116]
Generated Node #2: [76, 57, 116] from Operation: 58+58=116
Current State: 97:[76, 57, 116], Operations: ['58+58=116']
Exploring Operation: 76-57=19, Resulting Numbers: [116, 19]
Generated Node #3: [116, 19] from Operation: 76-57=19
Current State: 97:[116, 19], Operations: ['58+58=116', '76-57=19']
Exploring Operation: 116-19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
95,
13,
94,
20
] | 71 | [
"95+94=189",
"13*20=260",
"260-189=71"
] | Current State: 71:[95, 13, 94, 20], Operations: []
Exploring Operation: 95+94=189, Resulting Numbers: [13, 20, 189]
Generated Node #2: [13, 20, 189] from Operation: 95+94=189
Current State: 71:[13, 20, 189], Operations: ['95+94=189']
Exploring Operation: 13*20=260, Resulting Numbers: [189, 260]
Generated Node #3: [189, 260] from Operation: 13*20=260
Current State: 71:[189, 260], Operations: ['95+94=189', '13*20=260']
Exploring Operation: 260-189=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
94,
45,
64,
42
] | 90 | [
"94-64=30",
"45-42=3",
"30*3=90"
] | Current State: 90:[94, 45, 64, 42], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [45, 42, 30]
Generated Node #2: [45, 42, 30] from Operation: 94-64=30
Current State: 90:[45, 42, 30], Operations: ['94-64=30']
Exploring Operation: 45-42=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 45-42=3
Current State: 90:[30, 3], Operations: ['94-64=30', '45-42=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
20,
16,
19,
11
] | 87 | [
"20-16=4",
"19*4=76",
"11+76=87"
] | Current State: 87:[20, 16, 19, 11], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [19, 11, 4]
Generated Node #2: [19, 11, 4] from Operation: 20-16=4
Current State: 87:[19, 11, 4], Operations: ['20-16=4']
Exploring Operation: 19*4=76, Resulting Numbers: [11, 76]
Generated Node #3: [11, 76] from Operation: 19*4=76
Current State: 87:[11, 76], Operations: ['20-16=4', '19*4=76']
Exploring Operation: 11+76=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
19,
89,
7,
2
] | 14 | [
"89-19=70",
"7-2=5",
"70/5=14"
] | Current State: 14:[19, 89, 7, 2], Operations: []
Exploring Operation: 89-19=70, Resulting Numbers: [7, 2, 70]
Generated Node #2: [7, 2, 70] from Operation: 89-19=70
Current State: 14:[7, 2, 70], Operations: ['89-19=70']
Exploring Operation: 7-2=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 7-2=5
Current State: 14:[70, 5], Operations: ['89-19=70', '7-2=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
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