nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
54,
20,
27,
48
] | 55 | [
"54-20=34",
"48-27=21",
"34+21=55"
] | Current State: 55:[54, 20, 27, 48], Operations: []
Exploring Operation: 54-20=34, Resulting Numbers: [27, 48, 34]
Generated Node #2: [27, 48, 34] from Operation: 54-20=34
Current State: 55:[27, 48, 34], Operations: ['54-20=34']
Exploring Operation: 48-27=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 48-27=21
Current State: 55:[34, 21], Operations: ['54-20=34', '48-27=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
48,
38,
86,
81
] | 81 | [
"48+38=86",
"86+81=167",
"167-86=81"
] | Current State: 81:[48, 38, 86, 81], Operations: []
Exploring Operation: 48+38=86, Resulting Numbers: [86, 81, 86]
Generated Node #2: [86, 81, 86] from Operation: 48+38=86
Current State: 81:[86, 81, 86], Operations: ['48+38=86']
Exploring Operation: 86+81=167, Resulting Numbers: [167]
167,81 equal: Goal Reached
Exploring Operation: 167-86=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
59,
36,
64
] | 21 | [
"20+59=79",
"36+64=100",
"100-79=21"
] | Current State: 21:[20, 59, 36, 64], Operations: []
Exploring Operation: 20+59=79, Resulting Numbers: [36, 64, 79]
Generated Node #2: [36, 64, 79] from Operation: 20+59=79
Current State: 21:[36, 64, 79], Operations: ['20+59=79']
Exploring Operation: 36+64=100, Resulting Numbers: [79, 100]
Generated Node #3: [79, 100] from Operation: 36+64=100
Current State: 21:[79, 100], Operations: ['20+59=79', '36+64=100']
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
81,
99,
16,
85
] | 79 | [
"81+99=180",
"16+85=101",
"180-101=79"
] | Current State: 79:[81, 99, 16, 85], Operations: []
Exploring Operation: 81+99=180, Resulting Numbers: [16, 85, 180]
Generated Node #2: [16, 85, 180] from Operation: 81+99=180
Current State: 79:[16, 85, 180], Operations: ['81+99=180']
Exploring Operation: 16+85=101, Resulting Numbers: [180, 101]
Generated Node #3: [180, 101] from Operation: 16+85=101
Current State: 79:[180, 101], Operations: ['81+99=180', '16+85=101']
Exploring Operation: 180-101=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
31,
9,
12,
18
] | 41 | [
"31+12=43",
"18/9=2",
"43-2=41"
] | Current State: 41:[31, 9, 12, 18], Operations: []
Exploring Operation: 31+12=43, Resulting Numbers: [9, 18, 43]
Generated Node #2: [9, 18, 43] from Operation: 31+12=43
Current State: 41:[9, 18, 43], Operations: ['31+12=43']
Exploring Operation: 18/9=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 18/9=2
Current State: 41:[43, 2], Operations: ['31+12=43', '18/9=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
70,
99,
49,
78
] | 98 | [
"99-70=29",
"49+78=127",
"127-29=98"
] | Current State: 98:[70, 99, 49, 78], Operations: []
Exploring Operation: 99-70=29, Resulting Numbers: [49, 78, 29]
Generated Node #2: [49, 78, 29] from Operation: 99-70=29
Current State: 98:[49, 78, 29], Operations: ['99-70=29']
Exploring Operation: 49+78=127, Resulting Numbers: [29, 127]
Generated Node #3: [29, 127] from Operation: 49+78=127
Current State: 98:[29, 127], Operations: ['99-70=29', '49+78=127']
Exploring Operation: 127-29=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
44,
71,
51,
22
] | 10 | [
"44/22=2",
"71-51=20",
"20/2=10"
] | Current State: 10:[44, 71, 51, 22], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [71, 51, 2]
Generated Node #2: [71, 51, 2] from Operation: 44/22=2
Current State: 10:[71, 51, 2], Operations: ['44/22=2']
Exploring Operation: 71-51=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 71-51=20
Current State: 10:[2, 20], Operations: ['44/22=2', '71-51=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
59,
28,
21,
84
] | 27 | [
"59-28=31",
"84/21=4",
"31-4=27"
] | Current State: 27:[59, 28, 21, 84], Operations: []
Exploring Operation: 59-28=31, Resulting Numbers: [21, 84, 31]
Generated Node #2: [21, 84, 31] from Operation: 59-28=31
Current State: 27:[21, 84, 31], Operations: ['59-28=31']
Exploring Operation: 84/21=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 84/21=4
Current State: 27:[31, 4], Operations: ['59-28=31', '84/21=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
20,
61,
3
] | 45 | [
"20+61=81",
"81/3=27",
"18+27=45"
] | Current State: 45:[18, 20, 61, 3], Operations: []
Exploring Operation: 20+61=81, Resulting Numbers: [18, 3, 81]
Generated Node #2: [18, 3, 81] from Operation: 20+61=81
Current State: 45:[18, 3, 81], Operations: ['20+61=81']
Exploring Operation: 81/3=27, Resulting Numbers: [18, 27]
Generated Node #3: [18, 27] from Operation: 81/3=27
Current State: 45:[18, 27], Operations: ['20+61=81', '81/3=27']
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
37,
3,
6,
70
] | 31 | [
"70-37=33",
"6/3=2",
"33-2=31"
] | Current State: 31:[37, 3, 6, 70], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [3, 6, 33]
Generated Node #2: [3, 6, 33] from Operation: 70-37=33
Current State: 31:[3, 6, 33], Operations: ['70-37=33']
Exploring Operation: 6/3=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 6/3=2
Current State: 31:[33, 2], Operations: ['70-37=33', '6/3=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
82,
18,
25
] | 65 | [
"82-10=72",
"25-18=7",
"72-7=65"
] | Current State: 65:[10, 82, 18, 25], Operations: []
Exploring Operation: 82-10=72, Resulting Numbers: [18, 25, 72]
Generated Node #2: [18, 25, 72] from Operation: 82-10=72
Current State: 65:[18, 25, 72], Operations: ['82-10=72']
Exploring Operation: 25-18=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 25-18=7
Current State: 65:[72, 7], Operations: ['82-10=72', '25-18=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
89,
20,
47
] | 12 | [
"7*47=329",
"329-89=240",
"240/20=12"
] | Current State: 12:[7, 89, 20, 47], Operations: []
Exploring Operation: 7*47=329, Resulting Numbers: [89, 20, 329]
Generated Node #2: [89, 20, 329] from Operation: 7*47=329
Current State: 12:[89, 20, 329], Operations: ['7*47=329']
Exploring Operation: 329-89=240, Resulting Numbers: [20, 240]
Generated Node #3: [20, 240] from Operation: 329-89=240
Current State: 12:[20, 240], Operations: ['7*47=329', '329-89=240']
Exploring Operation: 240/20=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
78,
66,
53,
78
] | 12 | [
"78+78=156",
"66-53=13",
"156/13=12"
] | Current State: 12:[78, 66, 53, 78], Operations: []
Exploring Operation: 78+78=156, Resulting Numbers: [66, 53, 156]
Generated Node #2: [66, 53, 156] from Operation: 78+78=156
Current State: 12:[66, 53, 156], Operations: ['78+78=156']
Exploring Operation: 66-53=13, Resulting Numbers: [156, 13]
Generated Node #3: [156, 13] from Operation: 66-53=13
Current State: 12:[156, 13], Operations: ['78+78=156', '66-53=13']
Exploring Operation: 156/13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
13,
95,
34,
3
] | 19 | [
"13*3=39",
"39-34=5",
"95/5=19"
] | Current State: 19:[13, 95, 34, 3], Operations: []
Exploring Operation: 13*3=39, Resulting Numbers: [95, 34, 39]
Generated Node #2: [95, 34, 39] from Operation: 13*3=39
Current State: 19:[95, 34, 39], Operations: ['13*3=39']
Exploring Operation: 39-34=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 39-34=5
Current State: 19:[95, 5], Operations: ['13*3=39', '39-34=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
50,
81,
12,
10
] | 89 | [
"81-50=31",
"12*10=120",
"120-31=89"
] | Current State: 89:[50, 81, 12, 10], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [12, 10, 31]
Generated Node #2: [12, 10, 31] from Operation: 81-50=31
Current State: 89:[12, 10, 31], Operations: ['81-50=31']
Exploring Operation: 12*10=120, Resulting Numbers: [31, 120]
Generated Node #3: [31, 120] from Operation: 12*10=120
Current State: 89:[31, 120], Operations: ['81-50=31', '12*10=120']
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
88,
91,
96,
82
] | 42 | [
"91-88=3",
"96-82=14",
"3*14=42"
] | Current State: 42:[88, 91, 96, 82], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [96, 82, 3]
Generated Node #2: [96, 82, 3] from Operation: 91-88=3
Current State: 42:[96, 82, 3], Operations: ['91-88=3']
Exploring Operation: 96-82=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 96-82=14
Current State: 42:[3, 14], Operations: ['91-88=3', '96-82=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
93,
33,
11,
36
] | 42 | [
"36-33=3",
"93/3=31",
"11+31=42"
] | Current State: 42:[93, 33, 11, 36], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [93, 11, 3]
Generated Node #2: [93, 11, 3] from Operation: 36-33=3
Current State: 42:[93, 11, 3], Operations: ['36-33=3']
Exploring Operation: 93/3=31, Resulting Numbers: [11, 31]
Generated Node #3: [11, 31] from Operation: 93/3=31
Current State: 42:[11, 31], Operations: ['36-33=3', '93/3=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
13,
97,
50,
86
] | 74 | [
"13+97=110",
"86-50=36",
"110-36=74"
] | Current State: 74:[13, 97, 50, 86], Operations: []
Exploring Operation: 13+97=110, Resulting Numbers: [50, 86, 110]
Generated Node #2: [50, 86, 110] from Operation: 13+97=110
Current State: 74:[50, 86, 110], Operations: ['13+97=110']
Exploring Operation: 86-50=36, Resulting Numbers: [110, 36]
Generated Node #3: [110, 36] from Operation: 86-50=36
Current State: 74:[110, 36], Operations: ['13+97=110', '86-50=36']
Exploring Operation: 110-36=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
88,
37,
67,
10
] | 48 | [
"88+37=125",
"67+10=77",
"125-77=48"
] | Current State: 48:[88, 37, 67, 10], Operations: []
Exploring Operation: 88+37=125, Resulting Numbers: [67, 10, 125]
Generated Node #2: [67, 10, 125] from Operation: 88+37=125
Current State: 48:[67, 10, 125], Operations: ['88+37=125']
Exploring Operation: 67+10=77, Resulting Numbers: [125, 77]
Generated Node #3: [125, 77] from Operation: 67+10=77
Current State: 48:[125, 77], Operations: ['88+37=125', '67+10=77']
Exploring Operation: 125-77=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
90,
19,
45,
19
] | 19 | [
"90*19=1710",
"1710/45=38",
"38-19=19"
] | Current State: 19:[90, 19, 45, 19], Operations: []
Exploring Operation: 90*19=1710, Resulting Numbers: [45, 1710]
Generated Node #2: [45, 1710] from Operation: 90*19=1710
Current State: 19:[45, 1710], Operations: ['90*19=1710']
Exploring Operation: 1710/45=38, Resulting Numbers: [38]
38,19 equal: Goal Reached
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
31,
45,
23
] | 13 | [
"45-23=22",
"2*22=44",
"44-31=13"
] | Current State: 13:[2, 31, 45, 23], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [2, 31, 22]
Generated Node #2: [2, 31, 22] from Operation: 45-23=22
Current State: 13:[2, 31, 22], Operations: ['45-23=22']
Exploring Operation: 2*22=44, Resulting Numbers: [31, 44]
Generated Node #3: [31, 44] from Operation: 2*22=44
Current State: 13:[31, 44], Operations: ['45-23=22', '2*22=44']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
76,
50,
11,
4
] | 19 | [
"76-50=26",
"11-4=7",
"26-7=19"
] | Current State: 19:[76, 50, 11, 4], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [11, 4, 26]
Generated Node #2: [11, 4, 26] from Operation: 76-50=26
Current State: 19:[11, 4, 26], Operations: ['76-50=26']
Exploring Operation: 11-4=7, Resulting Numbers: [26, 7]
Generated Node #3: [26, 7] from Operation: 11-4=7
Current State: 19:[26, 7], Operations: ['76-50=26', '11-4=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
50,
95,
17,
95
] | 17 | [
"95-95=0",
"50*0=0",
"17+0=17"
] | Current State: 17:[50, 95, 17, 95], Operations: []
Exploring Operation: 95-95=0, Resulting Numbers: [50, 17, 0]
Generated Node #2: [50, 17, 0] from Operation: 95-95=0
Current State: 17:[50, 17, 0], Operations: ['95-95=0']
Exploring Operation: 50*0=0, Resulting Numbers: [17, 0]
Generated Node #3: [17, 0] from Operation: 50*0=0
Current State: 17:[17, 0], Operations: ['95-95=0', '50*0=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
8,
65,
17,
16
] | 72 | [
"8+65=73",
"17-16=1",
"73-1=72"
] | Current State: 72:[8, 65, 17, 16], Operations: []
Exploring Operation: 8+65=73, Resulting Numbers: [17, 16, 73]
Generated Node #2: [17, 16, 73] from Operation: 8+65=73
Current State: 72:[17, 16, 73], Operations: ['8+65=73']
Exploring Operation: 17-16=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 17-16=1
Current State: 72:[73, 1], Operations: ['8+65=73', '17-16=1']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
1,
35,
7,
23
] | 92 | [
"35/7=5",
"5-1=4",
"23*4=92"
] | Current State: 92:[1, 35, 7, 23], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [1, 23, 5]
Generated Node #2: [1, 23, 5] from Operation: 35/7=5
Current State: 92:[1, 23, 5], Operations: ['35/7=5']
Exploring Operation: 5-1=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 5-1=4
Current State: 92:[23, 4], Operations: ['35/7=5', '5-1=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
71,
98,
28,
35
] | 57 | [
"35-28=7",
"98/7=14",
"71-14=57"
] | Current State: 57:[71, 98, 28, 35], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [71, 98, 7]
Generated Node #2: [71, 98, 7] from Operation: 35-28=7
Current State: 57:[71, 98, 7], Operations: ['35-28=7']
Exploring Operation: 98/7=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 98/7=14
Current State: 57:[71, 14], Operations: ['35-28=7', '98/7=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
7,
56,
52,
2
] | 53 | [
"7+52=59",
"56*2=112",
"112-59=53"
] | Current State: 53:[7, 56, 52, 2], Operations: []
Exploring Operation: 7+52=59, Resulting Numbers: [56, 2, 59]
Generated Node #2: [56, 2, 59] from Operation: 7+52=59
Current State: 53:[56, 2, 59], Operations: ['7+52=59']
Exploring Operation: 56*2=112, Resulting Numbers: [59, 112]
Generated Node #3: [59, 112] from Operation: 56*2=112
Current State: 53:[59, 112], Operations: ['7+52=59', '56*2=112']
Exploring Operation: 112-59=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
79,
5,
1,
67
] | 65 | [
"79+1=80",
"80-67=13",
"5*13=65"
] | Current State: 65:[79, 5, 1, 67], Operations: []
Exploring Operation: 79+1=80, Resulting Numbers: [5, 67, 80]
Generated Node #2: [5, 67, 80] from Operation: 79+1=80
Current State: 65:[5, 67, 80], Operations: ['79+1=80']
Exploring Operation: 80-67=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 80-67=13
Current State: 65:[5, 13], Operations: ['79+1=80', '80-67=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
89,
51,
84,
92
] | 45 | [
"92-89=3",
"51+84=135",
"135/3=45"
] | Current State: 45:[89, 51, 84, 92], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [51, 84, 3]
Generated Node #2: [51, 84, 3] from Operation: 92-89=3
Current State: 45:[51, 84, 3], Operations: ['92-89=3']
Exploring Operation: 51+84=135, Resulting Numbers: [3, 135]
Generated Node #3: [3, 135] from Operation: 51+84=135
Current State: 45:[3, 135], Operations: ['92-89=3', '51+84=135']
Exploring Operation: 135/3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
92,
21,
63,
60
] | 96 | [
"92-60=32",
"63/21=3",
"32*3=96"
] | Current State: 96:[92, 21, 63, 60], Operations: []
Exploring Operation: 92-60=32, Resulting Numbers: [21, 63, 32]
Generated Node #2: [21, 63, 32] from Operation: 92-60=32
Current State: 96:[21, 63, 32], Operations: ['92-60=32']
Exploring Operation: 63/21=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 63/21=3
Current State: 96:[32, 3], Operations: ['92-60=32', '63/21=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
2,
32,
19,
17
] | 15 | [
"32-2=30",
"19-17=2",
"30/2=15"
] | Current State: 15:[2, 32, 19, 17], Operations: []
Exploring Operation: 32-2=30, Resulting Numbers: [19, 17, 30]
Generated Node #2: [19, 17, 30] from Operation: 32-2=30
Current State: 15:[19, 17, 30], Operations: ['32-2=30']
Exploring Operation: 19-17=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 19-17=2
Current State: 15:[30, 2], Operations: ['32-2=30', '19-17=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
11,
32,
31,
26
] | 48 | [
"11+32=43",
"31-26=5",
"43+5=48"
] | Current State: 48:[11, 32, 31, 26], Operations: []
Exploring Operation: 11+32=43, Resulting Numbers: [31, 26, 43]
Generated Node #2: [31, 26, 43] from Operation: 11+32=43
Current State: 48:[31, 26, 43], Operations: ['11+32=43']
Exploring Operation: 31-26=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 31-26=5
Current State: 48:[43, 5], Operations: ['11+32=43', '31-26=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
18,
22,
11,
4
] | 81 | [
"18-11=7",
"22*4=88",
"88-7=81"
] | Current State: 81:[18, 22, 11, 4], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [22, 4, 7]
Generated Node #2: [22, 4, 7] from Operation: 18-11=7
Current State: 81:[22, 4, 7], Operations: ['18-11=7']
Exploring Operation: 22*4=88, Resulting Numbers: [7, 88]
Generated Node #3: [7, 88] from Operation: 22*4=88
Current State: 81:[7, 88], Operations: ['18-11=7', '22*4=88']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
39,
60,
65
] | 42 | [
"76-39=37",
"65-60=5",
"37+5=42"
] | Current State: 42:[76, 39, 60, 65], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [60, 65, 37]
Generated Node #2: [60, 65, 37] from Operation: 76-39=37
Current State: 42:[60, 65, 37], Operations: ['76-39=37']
Exploring Operation: 65-60=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 65-60=5
Current State: 42:[37, 5], Operations: ['76-39=37', '65-60=5']
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
83,
73,
48,
31
] | 55 | [
"83*48=3984",
"31+3984=4015",
"4015/73=55"
] | Current State: 55:[83, 73, 48, 31], Operations: []
Exploring Operation: 83*48=3984, Resulting Numbers: [73, 31, 3984]
Generated Node #2: [73, 31, 3984] from Operation: 83*48=3984
Current State: 55:[73, 31, 3984], Operations: ['83*48=3984']
Exploring Operation: 31+3984=4015, Resulting Numbers: [73, 4015]
Generated Node #3: [73, 4015] from Operation: 31+3984=4015
Current State: 55:[73, 4015], Operations: ['83*48=3984', '31+3984=4015']
Exploring Operation: 4015/73=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
61,
67,
54,
81
] | 98 | [
"61-54=7",
"81-67=14",
"7*14=98"
] | Current State: 98:[61, 67, 54, 81], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [67, 81, 7]
Generated Node #2: [67, 81, 7] from Operation: 61-54=7
Current State: 98:[67, 81, 7], Operations: ['61-54=7']
Exploring Operation: 81-67=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 81-67=14
Current State: 98:[7, 14], Operations: ['61-54=7', '81-67=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
23,
21,
93,
18
] | 31 | [
"23+21=44",
"93-18=75",
"75-44=31"
] | Current State: 31:[23, 21, 93, 18], Operations: []
Exploring Operation: 23+21=44, Resulting Numbers: [93, 18, 44]
Generated Node #2: [93, 18, 44] from Operation: 23+21=44
Current State: 31:[93, 18, 44], Operations: ['23+21=44']
Exploring Operation: 93-18=75, Resulting Numbers: [44, 75]
Generated Node #3: [44, 75] from Operation: 93-18=75
Current State: 31:[44, 75], Operations: ['23+21=44', '93-18=75']
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
15,
91,
20,
95
] | 25 | [
"91-15=76",
"20*95=1900",
"1900/76=25"
] | Current State: 25:[15, 91, 20, 95], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [20, 95, 76]
Generated Node #2: [20, 95, 76] from Operation: 91-15=76
Current State: 25:[20, 95, 76], Operations: ['91-15=76']
Exploring Operation: 20*95=1900, Resulting Numbers: [76, 1900]
Generated Node #3: [76, 1900] from Operation: 20*95=1900
Current State: 25:[76, 1900], Operations: ['91-15=76', '20*95=1900']
Exploring Operation: 1900/76=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
91,
29,
35,
18
] | 17 | [
"35-29=6",
"18*6=108",
"108-91=17"
] | Current State: 17:[91, 29, 35, 18], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [91, 18, 6]
Generated Node #2: [91, 18, 6] from Operation: 35-29=6
Current State: 17:[91, 18, 6], Operations: ['35-29=6']
Exploring Operation: 18*6=108, Resulting Numbers: [91, 108]
Generated Node #3: [91, 108] from Operation: 18*6=108
Current State: 17:[91, 108], Operations: ['35-29=6', '18*6=108']
Exploring Operation: 108-91=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
42,
37,
54,
95
] | 70 | [
"42+37=79",
"54+95=149",
"149-79=70"
] | Current State: 70:[42, 37, 54, 95], Operations: []
Exploring Operation: 42+37=79, Resulting Numbers: [54, 95, 79]
Generated Node #2: [54, 95, 79] from Operation: 42+37=79
Current State: 70:[54, 95, 79], Operations: ['42+37=79']
Exploring Operation: 54+95=149, Resulting Numbers: [79, 149]
Generated Node #3: [79, 149] from Operation: 54+95=149
Current State: 70:[79, 149], Operations: ['42+37=79', '54+95=149']
Exploring Operation: 149-79=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
26,
39,
98,
10
] | 83 | [
"39*10=390",
"390/26=15",
"98-15=83"
] | Current State: 83:[26, 39, 98, 10], Operations: []
Exploring Operation: 39*10=390, Resulting Numbers: [26, 98, 390]
Generated Node #2: [26, 98, 390] from Operation: 39*10=390
Current State: 83:[26, 98, 390], Operations: ['39*10=390']
Exploring Operation: 390/26=15, Resulting Numbers: [98, 15]
Generated Node #3: [98, 15] from Operation: 390/26=15
Current State: 83:[98, 15], Operations: ['39*10=390', '390/26=15']
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
99,
75,
35,
23
] | 12 | [
"99-75=24",
"35-23=12",
"24-12=12"
] | Current State: 12:[99, 75, 35, 23], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [35, 23, 24]
Generated Node #2: [35, 23, 24] from Operation: 99-75=24
Current State: 12:[35, 23, 24], Operations: ['99-75=24']
Exploring Operation: 35-23=12, Resulting Numbers: [24, 12]
Generated Node #3: [24, 12] from Operation: 35-23=12
Current State: 12:[24, 12], Operations: ['99-75=24', '35-23=12']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
94,
49,
59,
84
] | 60 | [
"94-59=35",
"84*35=2940",
"2940/49=60"
] | Current State: 60:[94, 49, 59, 84], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [49, 84, 35]
Generated Node #2: [49, 84, 35] from Operation: 94-59=35
Current State: 60:[49, 84, 35], Operations: ['94-59=35']
Exploring Operation: 84*35=2940, Resulting Numbers: [49, 2940]
Generated Node #3: [49, 2940] from Operation: 84*35=2940
Current State: 60:[49, 2940], Operations: ['94-59=35', '84*35=2940']
Exploring Operation: 2940/49=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
41,
83,
77,
60
] | 51 | [
"83-77=6",
"60/6=10",
"41+10=51"
] | Current State: 51:[41, 83, 77, 60], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [41, 60, 6]
Generated Node #2: [41, 60, 6] from Operation: 83-77=6
Current State: 51:[41, 60, 6], Operations: ['83-77=6']
Exploring Operation: 60/6=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 60/6=10
Current State: 51:[41, 10], Operations: ['83-77=6', '60/6=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
41,
60,
40,
15
] | 36 | [
"60-41=19",
"40+15=55",
"55-19=36"
] | Current State: 36:[41, 60, 40, 15], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [40, 15, 19]
Generated Node #2: [40, 15, 19] from Operation: 60-41=19
Current State: 36:[40, 15, 19], Operations: ['60-41=19']
Exploring Operation: 40+15=55, Resulting Numbers: [19, 55]
Generated Node #3: [19, 55] from Operation: 40+15=55
Current State: 36:[19, 55], Operations: ['60-41=19', '40+15=55']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
43,
1,
87,
6
] | 39 | [
"43-1=42",
"87-6=81",
"81-42=39"
] | Current State: 39:[43, 1, 87, 6], Operations: []
Exploring Operation: 43-1=42, Resulting Numbers: [87, 6, 42]
Generated Node #2: [87, 6, 42] from Operation: 43-1=42
Current State: 39:[87, 6, 42], Operations: ['43-1=42']
Exploring Operation: 87-6=81, Resulting Numbers: [42, 81]
Generated Node #3: [42, 81] from Operation: 87-6=81
Current State: 39:[42, 81], Operations: ['43-1=42', '87-6=81']
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
48,
44,
25,
27
] | 48 | [
"48-44=4",
"25+27=52",
"52-4=48"
] | Current State: 48:[48, 44, 25, 27], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [25, 27, 4]
Generated Node #2: [25, 27, 4] from Operation: 48-44=4
Current State: 48:[25, 27, 4], Operations: ['48-44=4']
Exploring Operation: 25+27=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 25+27=52
Current State: 48:[4, 52], Operations: ['48-44=4', '25+27=52']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
71,
4,
88,
88
] | 74 | [
"71+4=75",
"88/88=1",
"75-1=74"
] | Current State: 74:[71, 4, 88, 88], Operations: []
Exploring Operation: 71+4=75, Resulting Numbers: [88, 88, 75]
Generated Node #2: [88, 88, 75] from Operation: 71+4=75
Current State: 74:[88, 88, 75], Operations: ['71+4=75']
Exploring Operation: 88/88=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 88/88=1
Current State: 74:[75, 1], Operations: ['71+4=75', '88/88=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
29,
85,
16,
30
] | 70 | [
"85-29=56",
"30-16=14",
"56+14=70"
] | Current State: 70:[29, 85, 16, 30], Operations: []
Exploring Operation: 85-29=56, Resulting Numbers: [16, 30, 56]
Generated Node #2: [16, 30, 56] from Operation: 85-29=56
Current State: 70:[16, 30, 56], Operations: ['85-29=56']
Exploring Operation: 30-16=14, Resulting Numbers: [56, 14]
Generated Node #3: [56, 14] from Operation: 30-16=14
Current State: 70:[56, 14], Operations: ['85-29=56', '30-16=14']
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
19,
33,
34,
62
] | 56 | [
"19*62=1178",
"33*34=1122",
"1178-1122=56"
] | Current State: 56:[19, 33, 34, 62], Operations: []
Exploring Operation: 19*62=1178, Resulting Numbers: [33, 34, 1178]
Generated Node #2: [33, 34, 1178] from Operation: 19*62=1178
Current State: 56:[33, 34, 1178], Operations: ['19*62=1178']
Exploring Operation: 33*34=1122, Resulting Numbers: [1178, 1122]
Generated Node #3: [1178, 1122] from Operation: 33*34=1122
Current State: 56:[1178, 1122], Operations: ['19*62=1178', '33*34=1122']
Exploring Operation: 1178-1122=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
43,
78,
4,
67
] | 36 | [
"78-43=35",
"4+67=71",
"71-35=36"
] | Current State: 36:[43, 78, 4, 67], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [4, 67, 35]
Generated Node #2: [4, 67, 35] from Operation: 78-43=35
Current State: 36:[4, 67, 35], Operations: ['78-43=35']
Exploring Operation: 4+67=71, Resulting Numbers: [35, 71]
Generated Node #3: [35, 71] from Operation: 4+67=71
Current State: 36:[35, 71], Operations: ['78-43=35', '4+67=71']
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
57,
11,
98,
16
] | 31 | [
"57+98=155",
"16-11=5",
"155/5=31"
] | Current State: 31:[57, 11, 98, 16], Operations: []
Exploring Operation: 57+98=155, Resulting Numbers: [11, 16, 155]
Generated Node #2: [11, 16, 155] from Operation: 57+98=155
Current State: 31:[11, 16, 155], Operations: ['57+98=155']
Exploring Operation: 16-11=5, Resulting Numbers: [155, 5]
Generated Node #3: [155, 5] from Operation: 16-11=5
Current State: 31:[155, 5], Operations: ['57+98=155', '16-11=5']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
34,
81,
38,
74
] | 11 | [
"81-34=47",
"74-38=36",
"47-36=11"
] | Current State: 11:[34, 81, 38, 74], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [38, 74, 47]
Generated Node #2: [38, 74, 47] from Operation: 81-34=47
Current State: 11:[38, 74, 47], Operations: ['81-34=47']
Exploring Operation: 74-38=36, Resulting Numbers: [47, 36]
Generated Node #3: [47, 36] from Operation: 74-38=36
Current State: 11:[47, 36], Operations: ['81-34=47', '74-38=36']
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
60,
24,
31
] | 89 | [
"48*60=2880",
"2880/24=120",
"120-31=89"
] | Current State: 89:[48, 60, 24, 31], Operations: []
Exploring Operation: 48*60=2880, Resulting Numbers: [24, 31, 2880]
Generated Node #2: [24, 31, 2880] from Operation: 48*60=2880
Current State: 89:[24, 31, 2880], Operations: ['48*60=2880']
Exploring Operation: 2880/24=120, Resulting Numbers: [31, 120]
Generated Node #3: [31, 120] from Operation: 2880/24=120
Current State: 89:[31, 120], Operations: ['48*60=2880', '2880/24=120']
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
22,
7,
85,
14
] | 65 | [
"85-22=63",
"14/7=2",
"63+2=65"
] | Current State: 65:[22, 7, 85, 14], Operations: []
Exploring Operation: 85-22=63, Resulting Numbers: [7, 14, 63]
Generated Node #2: [7, 14, 63] from Operation: 85-22=63
Current State: 65:[7, 14, 63], Operations: ['85-22=63']
Exploring Operation: 14/7=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 14/7=2
Current State: 65:[63, 2], Operations: ['85-22=63', '14/7=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
66,
8,
26,
72
] | 70 | [
"66+72=138",
"8*26=208",
"208-138=70"
] | Current State: 70:[66, 8, 26, 72], Operations: []
Exploring Operation: 66+72=138, Resulting Numbers: [8, 26, 138]
Generated Node #2: [8, 26, 138] from Operation: 66+72=138
Current State: 70:[8, 26, 138], Operations: ['66+72=138']
Exploring Operation: 8*26=208, Resulting Numbers: [138, 208]
Generated Node #3: [138, 208] from Operation: 8*26=208
Current State: 70:[138, 208], Operations: ['66+72=138', '8*26=208']
Exploring Operation: 208-138=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
43,
71,
33,
16
] | 89 | [
"43-33=10",
"16*10=160",
"160-71=89"
] | Current State: 89:[43, 71, 33, 16], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [71, 16, 10]
Generated Node #2: [71, 16, 10] from Operation: 43-33=10
Current State: 89:[71, 16, 10], Operations: ['43-33=10']
Exploring Operation: 16*10=160, Resulting Numbers: [71, 160]
Generated Node #3: [71, 160] from Operation: 16*10=160
Current State: 89:[71, 160], Operations: ['43-33=10', '16*10=160']
Exploring Operation: 160-71=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
67,
60,
15,
50
] | 49 | [
"60*15=900",
"900/50=18",
"67-18=49"
] | Current State: 49:[67, 60, 15, 50], Operations: []
Exploring Operation: 60*15=900, Resulting Numbers: [67, 50, 900]
Generated Node #2: [67, 50, 900] from Operation: 60*15=900
Current State: 49:[67, 50, 900], Operations: ['60*15=900']
Exploring Operation: 900/50=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 900/50=18
Current State: 49:[67, 18], Operations: ['60*15=900', '900/50=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
8,
17,
38,
33
] | 23 | [
"38-33=5",
"8*5=40",
"40-17=23"
] | Current State: 23:[8, 17, 38, 33], Operations: []
Exploring Operation: 38-33=5, Resulting Numbers: [8, 17, 5]
Generated Node #2: [8, 17, 5] from Operation: 38-33=5
Current State: 23:[8, 17, 5], Operations: ['38-33=5']
Exploring Operation: 8*5=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 8*5=40
Current State: 23:[17, 40], Operations: ['38-33=5', '8*5=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
27,
50,
42,
59
] | 14 | [
"59-50=9",
"27/9=3",
"42/3=14"
] | Current State: 14:[27, 50, 42, 59], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [27, 42, 9]
Generated Node #2: [27, 42, 9] from Operation: 59-50=9
Current State: 14:[27, 42, 9], Operations: ['59-50=9']
Exploring Operation: 27/9=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 27/9=3
Current State: 14:[42, 3], Operations: ['59-50=9', '27/9=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
42,
69,
26,
75
] | 74 | [
"69-42=27",
"26+75=101",
"101-27=74"
] | Current State: 74:[42, 69, 26, 75], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [26, 75, 27]
Generated Node #2: [26, 75, 27] from Operation: 69-42=27
Current State: 74:[26, 75, 27], Operations: ['69-42=27']
Exploring Operation: 26+75=101, Resulting Numbers: [27, 101]
Generated Node #3: [27, 101] from Operation: 26+75=101
Current State: 74:[27, 101], Operations: ['69-42=27', '26+75=101']
Exploring Operation: 101-27=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
13,
63,
19,
85
] | 10 | [
"13+63=76",
"85-19=66",
"76-66=10"
] | Current State: 10:[13, 63, 19, 85], Operations: []
Exploring Operation: 13+63=76, Resulting Numbers: [19, 85, 76]
Generated Node #2: [19, 85, 76] from Operation: 13+63=76
Current State: 10:[19, 85, 76], Operations: ['13+63=76']
Exploring Operation: 85-19=66, Resulting Numbers: [76, 66]
Generated Node #3: [76, 66] from Operation: 85-19=66
Current State: 10:[76, 66], Operations: ['13+63=76', '85-19=66']
Exploring Operation: 76-66=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
57,
91,
58,
9
] | 99 | [
"57+91=148",
"58-9=49",
"148-49=99"
] | Current State: 99:[57, 91, 58, 9], Operations: []
Exploring Operation: 57+91=148, Resulting Numbers: [58, 9, 148]
Generated Node #2: [58, 9, 148] from Operation: 57+91=148
Current State: 99:[58, 9, 148], Operations: ['57+91=148']
Exploring Operation: 58-9=49, Resulting Numbers: [148, 49]
Generated Node #3: [148, 49] from Operation: 58-9=49
Current State: 99:[148, 49], Operations: ['57+91=148', '58-9=49']
Exploring Operation: 148-49=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
69,
32,
50,
56
] | 24 | [
"32*50=1600",
"56+1600=1656",
"1656/69=24"
] | Current State: 24:[69, 32, 50, 56], Operations: []
Exploring Operation: 32*50=1600, Resulting Numbers: [69, 56, 1600]
Generated Node #2: [69, 56, 1600] from Operation: 32*50=1600
Current State: 24:[69, 56, 1600], Operations: ['32*50=1600']
Exploring Operation: 56+1600=1656, Resulting Numbers: [69, 1656]
Generated Node #3: [69, 1656] from Operation: 56+1600=1656
Current State: 24:[69, 1656], Operations: ['32*50=1600', '56+1600=1656']
Exploring Operation: 1656/69=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
2,
16,
18
] | 42 | [
"10-2=8",
"16+18=34",
"8+34=42"
] | Current State: 42:[10, 2, 16, 18], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [16, 18, 8]
Generated Node #2: [16, 18, 8] from Operation: 10-2=8
Current State: 42:[16, 18, 8], Operations: ['10-2=8']
Exploring Operation: 16+18=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 16+18=34
Current State: 42:[8, 34], Operations: ['10-2=8', '16+18=34']
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
72,
10,
61,
76
] | 47 | [
"72-10=62",
"76-61=15",
"62-15=47"
] | Current State: 47:[72, 10, 61, 76], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [61, 76, 62]
Generated Node #2: [61, 76, 62] from Operation: 72-10=62
Current State: 47:[61, 76, 62], Operations: ['72-10=62']
Exploring Operation: 76-61=15, Resulting Numbers: [62, 15]
Generated Node #3: [62, 15] from Operation: 76-61=15
Current State: 47:[62, 15], Operations: ['72-10=62', '76-61=15']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
76,
57,
39,
81
] | 29 | [
"76*39=2964",
"2964/57=52",
"81-52=29"
] | Current State: 29:[76, 57, 39, 81], Operations: []
Exploring Operation: 76*39=2964, Resulting Numbers: [57, 81, 2964]
Generated Node #2: [57, 81, 2964] from Operation: 76*39=2964
Current State: 29:[57, 81, 2964], Operations: ['76*39=2964']
Exploring Operation: 2964/57=52, Resulting Numbers: [81, 52]
Generated Node #3: [81, 52] from Operation: 2964/57=52
Current State: 29:[81, 52], Operations: ['76*39=2964', '2964/57=52']
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
27,
51,
39,
15
] | 12 | [
"39*15=585",
"27+585=612",
"612/51=12"
] | Current State: 12:[27, 51, 39, 15], Operations: []
Exploring Operation: 39*15=585, Resulting Numbers: [27, 51, 585]
Generated Node #2: [27, 51, 585] from Operation: 39*15=585
Current State: 12:[27, 51, 585], Operations: ['39*15=585']
Exploring Operation: 27+585=612, Resulting Numbers: [51, 612]
Generated Node #3: [51, 612] from Operation: 27+585=612
Current State: 12:[51, 612], Operations: ['39*15=585', '27+585=612']
Exploring Operation: 612/51=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
16,
68,
17,
22
] | 91 | [
"68-16=52",
"17+22=39",
"52+39=91"
] | Current State: 91:[16, 68, 17, 22], Operations: []
Exploring Operation: 68-16=52, Resulting Numbers: [17, 22, 52]
Generated Node #2: [17, 22, 52] from Operation: 68-16=52
Current State: 91:[17, 22, 52], Operations: ['68-16=52']
Exploring Operation: 17+22=39, Resulting Numbers: [52, 39]
Generated Node #3: [52, 39] from Operation: 17+22=39
Current State: 91:[52, 39], Operations: ['68-16=52', '17+22=39']
Exploring Operation: 52+39=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
1,
72,
58,
97
] | 32 | [
"72-1=71",
"97-58=39",
"71-39=32"
] | Current State: 32:[1, 72, 58, 97], Operations: []
Exploring Operation: 72-1=71, Resulting Numbers: [58, 97, 71]
Generated Node #2: [58, 97, 71] from Operation: 72-1=71
Current State: 32:[58, 97, 71], Operations: ['72-1=71']
Exploring Operation: 97-58=39, Resulting Numbers: [71, 39]
Generated Node #3: [71, 39] from Operation: 97-58=39
Current State: 32:[71, 39], Operations: ['72-1=71', '97-58=39']
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
33,
57,
2,
88
] | 79 | [
"33*2=66",
"57+88=145",
"145-66=79"
] | Current State: 79:[33, 57, 2, 88], Operations: []
Exploring Operation: 33*2=66, Resulting Numbers: [57, 88, 66]
Generated Node #2: [57, 88, 66] from Operation: 33*2=66
Current State: 79:[57, 88, 66], Operations: ['33*2=66']
Exploring Operation: 57+88=145, Resulting Numbers: [66, 145]
Generated Node #3: [66, 145] from Operation: 57+88=145
Current State: 79:[66, 145], Operations: ['33*2=66', '57+88=145']
Exploring Operation: 145-66=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
22,
55,
52,
3
] | 13 | [
"55-52=3",
"3*3=9",
"22-9=13"
] | Current State: 13:[22, 55, 52, 3], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [22, 3, 3]
Generated Node #2: [22, 3, 3] from Operation: 55-52=3
Current State: 13:[22, 3, 3], Operations: ['55-52=3']
Exploring Operation: 3*3=9, Resulting Numbers: [22, 9]
Generated Node #3: [22, 9] from Operation: 3*3=9
Current State: 13:[22, 9], Operations: ['55-52=3', '3*3=9']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
9,
26,
12,
14
] | 19 | [
"26-9=17",
"14-12=2",
"17+2=19"
] | Current State: 19:[9, 26, 12, 14], Operations: []
Exploring Operation: 26-9=17, Resulting Numbers: [12, 14, 17]
Generated Node #2: [12, 14, 17] from Operation: 26-9=17
Current State: 19:[12, 14, 17], Operations: ['26-9=17']
Exploring Operation: 14-12=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 14-12=2
Current State: 19:[17, 2], Operations: ['26-9=17', '14-12=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
45,
21,
6
] | 93 | [
"45-12=33",
"21*6=126",
"126-33=93"
] | Current State: 93:[12, 45, 21, 6], Operations: []
Exploring Operation: 45-12=33, Resulting Numbers: [21, 6, 33]
Generated Node #2: [21, 6, 33] from Operation: 45-12=33
Current State: 93:[21, 6, 33], Operations: ['45-12=33']
Exploring Operation: 21*6=126, Resulting Numbers: [33, 126]
Generated Node #3: [33, 126] from Operation: 21*6=126
Current State: 93:[33, 126], Operations: ['45-12=33', '21*6=126']
Exploring Operation: 126-33=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
36,
43,
1,
34
] | 44 | [
"36+43=79",
"1+34=35",
"79-35=44"
] | Current State: 44:[36, 43, 1, 34], Operations: []
Exploring Operation: 36+43=79, Resulting Numbers: [1, 34, 79]
Generated Node #2: [1, 34, 79] from Operation: 36+43=79
Current State: 44:[1, 34, 79], Operations: ['36+43=79']
Exploring Operation: 1+34=35, Resulting Numbers: [79, 35]
Generated Node #3: [79, 35] from Operation: 1+34=35
Current State: 44:[79, 35], Operations: ['36+43=79', '1+34=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
6,
76,
73,
89
] | 10 | [
"76+73=149",
"149-89=60",
"60/6=10"
] | Current State: 10:[6, 76, 73, 89], Operations: []
Exploring Operation: 76+73=149, Resulting Numbers: [6, 89, 149]
Generated Node #2: [6, 89, 149] from Operation: 76+73=149
Current State: 10:[6, 89, 149], Operations: ['76+73=149']
Exploring Operation: 149-89=60, Resulting Numbers: [6, 60]
Generated Node #3: [6, 60] from Operation: 149-89=60
Current State: 10:[6, 60], Operations: ['76+73=149', '149-89=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
87,
12,
79,
24
] | 95 | [
"87*24=2088",
"2088/12=174",
"174-79=95"
] | Current State: 95:[87, 12, 79, 24], Operations: []
Exploring Operation: 87*24=2088, Resulting Numbers: [12, 79, 2088]
Generated Node #2: [12, 79, 2088] from Operation: 87*24=2088
Current State: 95:[12, 79, 2088], Operations: ['87*24=2088']
Exploring Operation: 2088/12=174, Resulting Numbers: [79, 174]
Generated Node #3: [79, 174] from Operation: 2088/12=174
Current State: 95:[79, 174], Operations: ['87*24=2088', '2088/12=174']
Exploring Operation: 174-79=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
25,
96,
39,
52
] | 97 | [
"96*39=3744",
"3744/52=72",
"25+72=97"
] | Current State: 97:[25, 96, 39, 52], Operations: []
Exploring Operation: 96*39=3744, Resulting Numbers: [25, 52, 3744]
Generated Node #2: [25, 52, 3744] from Operation: 96*39=3744
Current State: 97:[25, 52, 3744], Operations: ['96*39=3744']
Exploring Operation: 3744/52=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 3744/52=72
Current State: 97:[25, 72], Operations: ['96*39=3744', '3744/52=72']
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
1,
15,
78,
49
] | 45 | [
"1+15=16",
"78-49=29",
"16+29=45"
] | Current State: 45:[1, 15, 78, 49], Operations: []
Exploring Operation: 1+15=16, Resulting Numbers: [78, 49, 16]
Generated Node #2: [78, 49, 16] from Operation: 1+15=16
Current State: 45:[78, 49, 16], Operations: ['1+15=16']
Exploring Operation: 78-49=29, Resulting Numbers: [16, 29]
Generated Node #3: [16, 29] from Operation: 78-49=29
Current State: 45:[16, 29], Operations: ['1+15=16', '78-49=29']
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
62,
54,
31,
62
] | 35 | [
"62/31=2",
"54/2=27",
"62-27=35"
] | Current State: 35:[62, 54, 31, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [54, 2]
Generated Node #2: [54, 2] from Operation: 62/31=2
Current State: 35:[54, 2], Operations: ['62/31=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,35 equal: Goal Reached
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
4,
85,
64
] | 31 | [
"6+4=10",
"85-64=21",
"10+21=31"
] | Current State: 31:[6, 4, 85, 64], Operations: []
Exploring Operation: 6+4=10, Resulting Numbers: [85, 64, 10]
Generated Node #2: [85, 64, 10] from Operation: 6+4=10
Current State: 31:[85, 64, 10], Operations: ['6+4=10']
Exploring Operation: 85-64=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 85-64=21
Current State: 31:[10, 21], Operations: ['6+4=10', '85-64=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
48,
5,
76
] | 57 | [
"69-5=64",
"48*76=3648",
"3648/64=57"
] | Current State: 57:[69, 48, 5, 76], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [48, 76, 64]
Generated Node #2: [48, 76, 64] from Operation: 69-5=64
Current State: 57:[48, 76, 64], Operations: ['69-5=64']
Exploring Operation: 48*76=3648, Resulting Numbers: [64, 3648]
Generated Node #3: [64, 3648] from Operation: 48*76=3648
Current State: 57:[64, 3648], Operations: ['69-5=64', '48*76=3648']
Exploring Operation: 3648/64=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
15,
13,
25,
12
] | 39 | [
"15-13=2",
"25+12=37",
"2+37=39"
] | Current State: 39:[15, 13, 25, 12], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [25, 12, 2]
Generated Node #2: [25, 12, 2] from Operation: 15-13=2
Current State: 39:[25, 12, 2], Operations: ['15-13=2']
Exploring Operation: 25+12=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 25+12=37
Current State: 39:[2, 37], Operations: ['15-13=2', '25+12=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
3,
7,
58,
9
] | 63 | [
"7-3=4",
"58+9=67",
"67-4=63"
] | Current State: 63:[3, 7, 58, 9], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [58, 9, 4]
Generated Node #2: [58, 9, 4] from Operation: 7-3=4
Current State: 63:[58, 9, 4], Operations: ['7-3=4']
Exploring Operation: 58+9=67, Resulting Numbers: [4, 67]
Generated Node #3: [4, 67] from Operation: 58+9=67
Current State: 63:[4, 67], Operations: ['7-3=4', '58+9=67']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
64,
67,
78,
40
] | 41 | [
"67-64=3",
"78-40=38",
"3+38=41"
] | Current State: 41:[64, 67, 78, 40], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [78, 40, 3]
Generated Node #2: [78, 40, 3] from Operation: 67-64=3
Current State: 41:[78, 40, 3], Operations: ['67-64=3']
Exploring Operation: 78-40=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 78-40=38
Current State: 41:[3, 38], Operations: ['67-64=3', '78-40=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
87,
48,
88,
81
] | 80 | [
"87-81=6",
"48/6=8",
"88-8=80"
] | Current State: 80:[87, 48, 88, 81], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [48, 88, 6]
Generated Node #2: [48, 88, 6] from Operation: 87-81=6
Current State: 80:[48, 88, 6], Operations: ['87-81=6']
Exploring Operation: 48/6=8, Resulting Numbers: [88, 8]
Generated Node #3: [88, 8] from Operation: 48/6=8
Current State: 80:[88, 8], Operations: ['87-81=6', '48/6=8']
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
5,
44,
23,
69
] | 90 | [
"5*23=115",
"69-44=25",
"115-25=90"
] | Current State: 90:[5, 44, 23, 69], Operations: []
Exploring Operation: 5*23=115, Resulting Numbers: [44, 69, 115]
Generated Node #2: [44, 69, 115] from Operation: 5*23=115
Current State: 90:[44, 69, 115], Operations: ['5*23=115']
Exploring Operation: 69-44=25, Resulting Numbers: [115, 25]
Generated Node #3: [115, 25] from Operation: 69-44=25
Current State: 90:[115, 25], Operations: ['5*23=115', '69-44=25']
Exploring Operation: 115-25=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
65,
7,
90,
58
] | 26 | [
"65-7=58",
"90-58=32",
"58-32=26"
] | Current State: 26:[65, 7, 90, 58], Operations: []
Exploring Operation: 65-7=58, Resulting Numbers: [90, 58, 58]
Generated Node #2: [90, 58, 58] from Operation: 65-7=58
Current State: 26:[90, 58, 58], Operations: ['65-7=58']
Exploring Operation: 90-58=32, Resulting Numbers: [32]
32,26 equal: Goal Reached
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
30,
5,
22
] | 16 | [
"30*5=150",
"150-22=128",
"128/8=16"
] | Current State: 16:[8, 30, 5, 22], Operations: []
Exploring Operation: 30*5=150, Resulting Numbers: [8, 22, 150]
Generated Node #2: [8, 22, 150] from Operation: 30*5=150
Current State: 16:[8, 22, 150], Operations: ['30*5=150']
Exploring Operation: 150-22=128, Resulting Numbers: [8, 128]
Generated Node #3: [8, 128] from Operation: 150-22=128
Current State: 16:[8, 128], Operations: ['30*5=150', '150-22=128']
Exploring Operation: 128/8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
46,
8,
7,
32
] | 90 | [
"46-32=14",
"7*14=98",
"98-8=90"
] | Current State: 90:[46, 8, 7, 32], Operations: []
Exploring Operation: 46-32=14, Resulting Numbers: [8, 7, 14]
Generated Node #2: [8, 7, 14] from Operation: 46-32=14
Current State: 90:[8, 7, 14], Operations: ['46-32=14']
Exploring Operation: 7*14=98, Resulting Numbers: [8, 98]
Generated Node #3: [8, 98] from Operation: 7*14=98
Current State: 90:[8, 98], Operations: ['46-32=14', '7*14=98']
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
28,
3,
5,
16
] | 30 | [
"3+5=8",
"16/8=2",
"28+2=30"
] | Current State: 30:[28, 3, 5, 16], Operations: []
Exploring Operation: 3+5=8, Resulting Numbers: [28, 16, 8]
Generated Node #2: [28, 16, 8] from Operation: 3+5=8
Current State: 30:[28, 16, 8], Operations: ['3+5=8']
Exploring Operation: 16/8=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 16/8=2
Current State: 30:[28, 2], Operations: ['3+5=8', '16/8=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
17,
44,
50
] | 54 | [
"50-17=33",
"72*33=2376",
"2376/44=54"
] | Current State: 54:[72, 17, 44, 50], Operations: []
Exploring Operation: 50-17=33, Resulting Numbers: [72, 44, 33]
Generated Node #2: [72, 44, 33] from Operation: 50-17=33
Current State: 54:[72, 44, 33], Operations: ['50-17=33']
Exploring Operation: 72*33=2376, Resulting Numbers: [44, 2376]
Generated Node #3: [44, 2376] from Operation: 72*33=2376
Current State: 54:[44, 2376], Operations: ['50-17=33', '72*33=2376']
Exploring Operation: 2376/44=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
42,
66,
42,
53
] | 97 | [
"42+66=108",
"53-42=11",
"108-11=97"
] | Current State: 97:[42, 66, 42, 53], Operations: []
Exploring Operation: 42+66=108, Resulting Numbers: [53, 108]
Generated Node #2: [53, 108] from Operation: 42+66=108
Current State: 97:[53, 108], Operations: ['42+66=108']
Exploring Operation: 53-42=11, Resulting Numbers: [108, 11]
Generated Node #3: [108, 11] from Operation: 53-42=11
Current State: 97:[108, 11], Operations: ['42+66=108', '53-42=11']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
11,
10,
17,
7
] | 93 | [
"11*7=77",
"10*17=170",
"170-77=93"
] | Current State: 93:[11, 10, 17, 7], Operations: []
Exploring Operation: 11*7=77, Resulting Numbers: [10, 17, 77]
Generated Node #2: [10, 17, 77] from Operation: 11*7=77
Current State: 93:[10, 17, 77], Operations: ['11*7=77']
Exploring Operation: 10*17=170, Resulting Numbers: [77, 170]
Generated Node #3: [77, 170] from Operation: 10*17=170
Current State: 93:[77, 170], Operations: ['11*7=77', '10*17=170']
Exploring Operation: 170-77=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
99,
9,
18,
25
] | 49 | [
"18/9=2",
"25*2=50",
"99-50=49"
] | Current State: 49:[99, 9, 18, 25], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [99, 25, 2]
Generated Node #2: [99, 25, 2] from Operation: 18/9=2
Current State: 49:[99, 25, 2], Operations: ['18/9=2']
Exploring Operation: 25*2=50, Resulting Numbers: [99, 50]
Generated Node #3: [99, 50] from Operation: 25*2=50
Current State: 49:[99, 50], Operations: ['18/9=2', '25*2=50']
Exploring Operation: 99-50=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
48,
2,
11
] | 53 | [
"48-17=31",
"2*11=22",
"31+22=53"
] | Current State: 53:[17, 48, 2, 11], Operations: []
Exploring Operation: 48-17=31, Resulting Numbers: [2, 11, 31]
Generated Node #2: [2, 11, 31] from Operation: 48-17=31
Current State: 53:[2, 11, 31], Operations: ['48-17=31']
Exploring Operation: 2*11=22, Resulting Numbers: [31, 22]
Generated Node #3: [31, 22] from Operation: 2*11=22
Current State: 53:[31, 22], Operations: ['48-17=31', '2*11=22']
Exploring Operation: 31+22=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
54,
79,
43
] | 81 | [
"32+54=86",
"86/43=2",
"79+2=81"
] | Current State: 81:[32, 54, 79, 43], Operations: []
Exploring Operation: 32+54=86, Resulting Numbers: [79, 43, 86]
Generated Node #2: [79, 43, 86] from Operation: 32+54=86
Current State: 81:[79, 43, 86], Operations: ['32+54=86']
Exploring Operation: 86/43=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 86/43=2
Current State: 81:[79, 2], Operations: ['32+54=86', '86/43=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
9,
22,
66,
46
] | 51 | [
"9+22=31",
"66-46=20",
"31+20=51"
] | Current State: 51:[9, 22, 66, 46], Operations: []
Exploring Operation: 9+22=31, Resulting Numbers: [66, 46, 31]
Generated Node #2: [66, 46, 31] from Operation: 9+22=31
Current State: 51:[66, 46, 31], Operations: ['9+22=31']
Exploring Operation: 66-46=20, Resulting Numbers: [31, 20]
Generated Node #3: [31, 20] from Operation: 66-46=20
Current State: 51:[31, 20], Operations: ['9+22=31', '66-46=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
14,
99,
18,
34
] | 43 | [
"14*99=1386",
"1386/18=77",
"77-34=43"
] | Current State: 43:[14, 99, 18, 34], Operations: []
Exploring Operation: 14*99=1386, Resulting Numbers: [18, 34, 1386]
Generated Node #2: [18, 34, 1386] from Operation: 14*99=1386
Current State: 43:[18, 34, 1386], Operations: ['14*99=1386']
Exploring Operation: 1386/18=77, Resulting Numbers: [34, 77]
Generated Node #3: [34, 77] from Operation: 1386/18=77
Current State: 43:[34, 77], Operations: ['14*99=1386', '1386/18=77']
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
26,
69,
13,
31
] | 19 | [
"26/13=2",
"69-31=38",
"38/2=19"
] | Current State: 19:[26, 69, 13, 31], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [69, 31, 2]
Generated Node #2: [69, 31, 2] from Operation: 26/13=2
Current State: 19:[69, 31, 2], Operations: ['26/13=2']
Exploring Operation: 69-31=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 69-31=38
Current State: 19:[2, 38], Operations: ['26/13=2', '69-31=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
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