nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
87,
43,
8,
1
] | 53 | [
"87-43=44",
"8+1=9",
"44+9=53"
] | Current State: 53:[87, 43, 8, 1], Operations: []
Exploring Operation: 87-43=44, Resulting Numbers: [8, 1, 44]
Generated Node #2: [8, 1, 44] from Operation: 87-43=44
Current State: 53:[8, 1, 44], Operations: ['87-43=44']
Exploring Operation: 8+1=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 8+1=9
Current State: 53:[44, 9], Operations: ['87-43=44', '8+1=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
30,
94,
36,
13
] | 16 | [
"36-30=6",
"13*6=78",
"94-78=16"
] | Current State: 16:[30, 94, 36, 13], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [94, 13, 6]
Generated Node #2: [94, 13, 6] from Operation: 36-30=6
Current State: 16:[94, 13, 6], Operations: ['36-30=6']
Exploring Operation: 13*6=78, Resulting Numbers: [94, 78]
Generated Node #3: [94, 78] from Operation: 13*6=78
Current State: 16:[94, 78], Operations: ['36-30=6', '13*6=78']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
53,
52,
10,
51
] | 40 | [
"53-52=1",
"51-10=41",
"41-1=40"
] | Current State: 40:[53, 52, 10, 51], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [10, 51, 1]
Generated Node #2: [10, 51, 1] from Operation: 53-52=1
Current State: 40:[10, 51, 1], Operations: ['53-52=1']
Exploring Operation: 51-10=41, Resulting Numbers: [1, 41]
Generated Node #3: [1, 41] from Operation: 51-10=41
Current State: 40:[1, 41], Operations: ['53-52=1', '51-10=41']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
83,
16,
38,
10
] | 72 | [
"83-38=45",
"16*45=720",
"720/10=72"
] | Current State: 72:[83, 16, 38, 10], Operations: []
Exploring Operation: 83-38=45, Resulting Numbers: [16, 10, 45]
Generated Node #2: [16, 10, 45] from Operation: 83-38=45
Current State: 72:[16, 10, 45], Operations: ['83-38=45']
Exploring Operation: 16*45=720, Resulting Numbers: [10, 720]
Generated Node #3: [10, 720] from Operation: 16*45=720
Current State: 72:[10, 720], Operations: ['83-38=45', '16*45=720']
Exploring Operation: 720/10=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
22,
29,
79,
35
] | 95 | [
"22+29=51",
"79-35=44",
"51+44=95"
] | Current State: 95:[22, 29, 79, 35], Operations: []
Exploring Operation: 22+29=51, Resulting Numbers: [79, 35, 51]
Generated Node #2: [79, 35, 51] from Operation: 22+29=51
Current State: 95:[79, 35, 51], Operations: ['22+29=51']
Exploring Operation: 79-35=44, Resulting Numbers: [51, 44]
Generated Node #3: [51, 44] from Operation: 79-35=44
Current State: 95:[51, 44], Operations: ['22+29=51', '79-35=44']
Exploring Operation: 51+44=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
90,
95,
38,
41
] | 80 | [
"90*41=3690",
"95*38=3610",
"3690-3610=80"
] | Current State: 80:[90, 95, 38, 41], Operations: []
Exploring Operation: 90*41=3690, Resulting Numbers: [95, 38, 3690]
Generated Node #2: [95, 38, 3690] from Operation: 90*41=3690
Current State: 80:[95, 38, 3690], Operations: ['90*41=3690']
Exploring Operation: 95*38=3610, Resulting Numbers: [3690, 3610]
Generated Node #3: [3690, 3610] from Operation: 95*38=3610
Current State: 80:[3690, 3610], Operations: ['90*41=3690', '95*38=3610']
Exploring Operation: 3690-3610=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
95,
11,
83
] | 76 | [
"75+95=170",
"11+83=94",
"170-94=76"
] | Current State: 76:[75, 95, 11, 83], Operations: []
Exploring Operation: 75+95=170, Resulting Numbers: [11, 83, 170]
Generated Node #2: [11, 83, 170] from Operation: 75+95=170
Current State: 76:[11, 83, 170], Operations: ['75+95=170']
Exploring Operation: 11+83=94, Resulting Numbers: [170, 94]
Generated Node #3: [170, 94] from Operation: 11+83=94
Current State: 76:[170, 94], Operations: ['75+95=170', '11+83=94']
Exploring Operation: 170-94=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
7,
2,
63,
30
] | 98 | [
"7-2=5",
"63+30=93",
"5+93=98"
] | Current State: 98:[7, 2, 63, 30], Operations: []
Exploring Operation: 7-2=5, Resulting Numbers: [63, 30, 5]
Generated Node #2: [63, 30, 5] from Operation: 7-2=5
Current State: 98:[63, 30, 5], Operations: ['7-2=5']
Exploring Operation: 63+30=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 63+30=93
Current State: 98:[5, 93], Operations: ['7-2=5', '63+30=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
29,
1,
32
] | 69 | [
"7+29=36",
"1+32=33",
"36+33=69"
] | Current State: 69:[7, 29, 1, 32], Operations: []
Exploring Operation: 7+29=36, Resulting Numbers: [1, 32, 36]
Generated Node #2: [1, 32, 36] from Operation: 7+29=36
Current State: 69:[1, 32, 36], Operations: ['7+29=36']
Exploring Operation: 1+32=33, Resulting Numbers: [36, 33]
Generated Node #3: [36, 33] from Operation: 1+32=33
Current State: 69:[36, 33], Operations: ['7+29=36', '1+32=33']
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
51,
30,
37,
40
] | 27 | [
"51+30=81",
"40-37=3",
"81/3=27"
] | Current State: 27:[51, 30, 37, 40], Operations: []
Exploring Operation: 51+30=81, Resulting Numbers: [37, 40, 81]
Generated Node #2: [37, 40, 81] from Operation: 51+30=81
Current State: 27:[37, 40, 81], Operations: ['51+30=81']
Exploring Operation: 40-37=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 40-37=3
Current State: 27:[81, 3], Operations: ['51+30=81', '40-37=3']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
68,
66,
60,
3
] | 26 | [
"66+60=126",
"126/3=42",
"68-42=26"
] | Current State: 26:[68, 66, 60, 3], Operations: []
Exploring Operation: 66+60=126, Resulting Numbers: [68, 3, 126]
Generated Node #2: [68, 3, 126] from Operation: 66+60=126
Current State: 26:[68, 3, 126], Operations: ['66+60=126']
Exploring Operation: 126/3=42, Resulting Numbers: [68, 42]
Generated Node #3: [68, 42] from Operation: 126/3=42
Current State: 26:[68, 42], Operations: ['66+60=126', '126/3=42']
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
43,
95,
33,
57
] | 38 | [
"95-43=52",
"33+57=90",
"90-52=38"
] | Current State: 38:[43, 95, 33, 57], Operations: []
Exploring Operation: 95-43=52, Resulting Numbers: [33, 57, 52]
Generated Node #2: [33, 57, 52] from Operation: 95-43=52
Current State: 38:[33, 57, 52], Operations: ['95-43=52']
Exploring Operation: 33+57=90, Resulting Numbers: [52, 90]
Generated Node #3: [52, 90] from Operation: 33+57=90
Current State: 38:[52, 90], Operations: ['95-43=52', '33+57=90']
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
41,
50,
27,
53
] | 56 | [
"50-41=9",
"27/9=3",
"53+3=56"
] | Current State: 56:[41, 50, 27, 53], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [27, 53, 9]
Generated Node #2: [27, 53, 9] from Operation: 50-41=9
Current State: 56:[27, 53, 9], Operations: ['50-41=9']
Exploring Operation: 27/9=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 27/9=3
Current State: 56:[53, 3], Operations: ['50-41=9', '27/9=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
80,
6,
45,
50
] | 10 | [
"50-45=5",
"80/5=16",
"16-6=10"
] | Current State: 10:[80, 6, 45, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [80, 6, 5]
Generated Node #2: [80, 6, 5] from Operation: 50-45=5
Current State: 10:[80, 6, 5], Operations: ['50-45=5']
Exploring Operation: 80/5=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 80/5=16
Current State: 10:[6, 16], Operations: ['50-45=5', '80/5=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
46,
8,
77,
8
] | 12 | [
"77-8=69",
"8*69=552",
"552/46=12"
] | Current State: 12:[46, 8, 77, 8], Operations: []
Exploring Operation: 77-8=69, Resulting Numbers: [46, 69]
Generated Node #2: [46, 69] from Operation: 77-8=69
Current State: 12:[46, 69], Operations: ['77-8=69']
Exploring Operation: 8*69=552, Resulting Numbers: [46, 552]
Generated Node #3: [46, 552] from Operation: 8*69=552
Current State: 12:[46, 552], Operations: ['77-8=69', '8*69=552']
Exploring Operation: 552/46=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
4,
16,
79,
39
] | 96 | [
"79-16=63",
"63-39=24",
"4*24=96"
] | Current State: 96:[4, 16, 79, 39], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [4, 39, 63]
Generated Node #2: [4, 39, 63] from Operation: 79-16=63
Current State: 96:[4, 39, 63], Operations: ['79-16=63']
Exploring Operation: 63-39=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 63-39=24
Current State: 96:[4, 24], Operations: ['79-16=63', '63-39=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
3,
17,
48,
92
] | 95 | [
"3*17=51",
"92-48=44",
"51+44=95"
] | Current State: 95:[3, 17, 48, 92], Operations: []
Exploring Operation: 3*17=51, Resulting Numbers: [48, 92, 51]
Generated Node #2: [48, 92, 51] from Operation: 3*17=51
Current State: 95:[48, 92, 51], Operations: ['3*17=51']
Exploring Operation: 92-48=44, Resulting Numbers: [51, 44]
Generated Node #3: [51, 44] from Operation: 92-48=44
Current State: 95:[51, 44], Operations: ['3*17=51', '92-48=44']
Exploring Operation: 51+44=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
5,
11,
6,
48
] | 95 | [
"48/6=8",
"11+8=19",
"5*19=95"
] | Current State: 95:[5, 11, 6, 48], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [5, 11, 8]
Generated Node #2: [5, 11, 8] from Operation: 48/6=8
Current State: 95:[5, 11, 8], Operations: ['48/6=8']
Exploring Operation: 11+8=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 11+8=19
Current State: 95:[5, 19], Operations: ['48/6=8', '11+8=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
56,
25,
69,
37
] | 75 | [
"56-25=31",
"69+37=106",
"106-31=75"
] | Current State: 75:[56, 25, 69, 37], Operations: []
Exploring Operation: 56-25=31, Resulting Numbers: [69, 37, 31]
Generated Node #2: [69, 37, 31] from Operation: 56-25=31
Current State: 75:[69, 37, 31], Operations: ['56-25=31']
Exploring Operation: 69+37=106, Resulting Numbers: [31, 106]
Generated Node #3: [31, 106] from Operation: 69+37=106
Current State: 75:[31, 106], Operations: ['56-25=31', '69+37=106']
Exploring Operation: 106-31=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
55,
60,
32,
34
] | 50 | [
"55*60=3300",
"32+34=66",
"3300/66=50"
] | Current State: 50:[55, 60, 32, 34], Operations: []
Exploring Operation: 55*60=3300, Resulting Numbers: [32, 34, 3300]
Generated Node #2: [32, 34, 3300] from Operation: 55*60=3300
Current State: 50:[32, 34, 3300], Operations: ['55*60=3300']
Exploring Operation: 32+34=66, Resulting Numbers: [3300, 66]
Generated Node #3: [3300, 66] from Operation: 32+34=66
Current State: 50:[3300, 66], Operations: ['55*60=3300', '32+34=66']
Exploring Operation: 3300/66=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
23,
42,
84
] | 61 | [
"40+23=63",
"84/42=2",
"63-2=61"
] | Current State: 61:[40, 23, 42, 84], Operations: []
Exploring Operation: 40+23=63, Resulting Numbers: [42, 84, 63]
Generated Node #2: [42, 84, 63] from Operation: 40+23=63
Current State: 61:[42, 84, 63], Operations: ['40+23=63']
Exploring Operation: 84/42=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 84/42=2
Current State: 61:[63, 2], Operations: ['40+23=63', '84/42=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
99,
94,
11,
17
] | 68 | [
"99/11=9",
"94-17=77",
"77-9=68"
] | Current State: 68:[99, 94, 11, 17], Operations: []
Exploring Operation: 99/11=9, Resulting Numbers: [94, 17, 9]
Generated Node #2: [94, 17, 9] from Operation: 99/11=9
Current State: 68:[94, 17, 9], Operations: ['99/11=9']
Exploring Operation: 94-17=77, Resulting Numbers: [9, 77]
Generated Node #3: [9, 77] from Operation: 94-17=77
Current State: 68:[9, 77], Operations: ['99/11=9', '94-17=77']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
95,
22,
84,
73
] | 71 | [
"95-84=11",
"22/11=2",
"73-2=71"
] | Current State: 71:[95, 22, 84, 73], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [22, 73, 11]
Generated Node #2: [22, 73, 11] from Operation: 95-84=11
Current State: 71:[22, 73, 11], Operations: ['95-84=11']
Exploring Operation: 22/11=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 22/11=2
Current State: 71:[73, 2], Operations: ['95-84=11', '22/11=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
17,
36,
83,
9
] | 16 | [
"36+83=119",
"119/17=7",
"9+7=16"
] | Current State: 16:[17, 36, 83, 9], Operations: []
Exploring Operation: 36+83=119, Resulting Numbers: [17, 9, 119]
Generated Node #2: [17, 9, 119] from Operation: 36+83=119
Current State: 16:[17, 9, 119], Operations: ['36+83=119']
Exploring Operation: 119/17=7, Resulting Numbers: [9, 7]
Generated Node #3: [9, 7] from Operation: 119/17=7
Current State: 16:[9, 7], Operations: ['36+83=119', '119/17=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
48,
74,
83,
80
] | 15 | [
"83-74=9",
"80*9=720",
"720/48=15"
] | Current State: 15:[48, 74, 83, 80], Operations: []
Exploring Operation: 83-74=9, Resulting Numbers: [48, 80, 9]
Generated Node #2: [48, 80, 9] from Operation: 83-74=9
Current State: 15:[48, 80, 9], Operations: ['83-74=9']
Exploring Operation: 80*9=720, Resulting Numbers: [48, 720]
Generated Node #3: [48, 720] from Operation: 80*9=720
Current State: 15:[48, 720], Operations: ['83-74=9', '80*9=720']
Exploring Operation: 720/48=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
14,
78,
52,
37
] | 79 | [
"78-14=64",
"52-37=15",
"64+15=79"
] | Current State: 79:[14, 78, 52, 37], Operations: []
Exploring Operation: 78-14=64, Resulting Numbers: [52, 37, 64]
Generated Node #2: [52, 37, 64] from Operation: 78-14=64
Current State: 79:[52, 37, 64], Operations: ['78-14=64']
Exploring Operation: 52-37=15, Resulting Numbers: [64, 15]
Generated Node #3: [64, 15] from Operation: 52-37=15
Current State: 79:[64, 15], Operations: ['78-14=64', '52-37=15']
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
17,
76,
85,
67
] | 59 | [
"17+76=93",
"85+67=152",
"152-93=59"
] | Current State: 59:[17, 76, 85, 67], Operations: []
Exploring Operation: 17+76=93, Resulting Numbers: [85, 67, 93]
Generated Node #2: [85, 67, 93] from Operation: 17+76=93
Current State: 59:[85, 67, 93], Operations: ['17+76=93']
Exploring Operation: 85+67=152, Resulting Numbers: [93, 152]
Generated Node #3: [93, 152] from Operation: 85+67=152
Current State: 59:[93, 152], Operations: ['17+76=93', '85+67=152']
Exploring Operation: 152-93=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
23,
2,
43,
91
] | 73 | [
"23+2=25",
"91-43=48",
"25+48=73"
] | Current State: 73:[23, 2, 43, 91], Operations: []
Exploring Operation: 23+2=25, Resulting Numbers: [43, 91, 25]
Generated Node #2: [43, 91, 25] from Operation: 23+2=25
Current State: 73:[43, 91, 25], Operations: ['23+2=25']
Exploring Operation: 91-43=48, Resulting Numbers: [25, 48]
Generated Node #3: [25, 48] from Operation: 91-43=48
Current State: 73:[25, 48], Operations: ['23+2=25', '91-43=48']
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
95,
14,
22
] | 100 | [
"96+14=110",
"110/22=5",
"95+5=100"
] | Current State: 100:[96, 95, 14, 22], Operations: []
Exploring Operation: 96+14=110, Resulting Numbers: [95, 22, 110]
Generated Node #2: [95, 22, 110] from Operation: 96+14=110
Current State: 100:[95, 22, 110], Operations: ['96+14=110']
Exploring Operation: 110/22=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 110/22=5
Current State: 100:[95, 5], Operations: ['96+14=110', '110/22=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
97,
88,
63,
34
] | 38 | [
"97-88=9",
"63-34=29",
"9+29=38"
] | Current State: 38:[97, 88, 63, 34], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [63, 34, 9]
Generated Node #2: [63, 34, 9] from Operation: 97-88=9
Current State: 38:[63, 34, 9], Operations: ['97-88=9']
Exploring Operation: 63-34=29, Resulting Numbers: [9, 29]
Generated Node #3: [9, 29] from Operation: 63-34=29
Current State: 38:[9, 29], Operations: ['97-88=9', '63-34=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
54,
49,
78,
27
] | 21 | [
"54-49=5",
"78+27=105",
"105/5=21"
] | Current State: 21:[54, 49, 78, 27], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [78, 27, 5]
Generated Node #2: [78, 27, 5] from Operation: 54-49=5
Current State: 21:[78, 27, 5], Operations: ['54-49=5']
Exploring Operation: 78+27=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 78+27=105
Current State: 21:[5, 105], Operations: ['54-49=5', '78+27=105']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
98,
2,
2,
13
] | 76 | [
"13-2=11",
"2*11=22",
"98-22=76"
] | Current State: 76:[98, 2, 2, 13], Operations: []
Exploring Operation: 13-2=11, Resulting Numbers: [98, 11]
Generated Node #2: [98, 11] from Operation: 13-2=11
Current State: 76:[98, 11], Operations: ['13-2=11']
Exploring Operation: 2*11=22, Resulting Numbers: [98, 22]
Generated Node #3: [98, 22] from Operation: 2*11=22
Current State: 76:[98, 22], Operations: ['13-2=11', '2*11=22']
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
45,
91,
44,
81
] | 75 | [
"91+44=135",
"45*135=6075",
"6075/81=75"
] | Current State: 75:[45, 91, 44, 81], Operations: []
Exploring Operation: 91+44=135, Resulting Numbers: [45, 81, 135]
Generated Node #2: [45, 81, 135] from Operation: 91+44=135
Current State: 75:[45, 81, 135], Operations: ['91+44=135']
Exploring Operation: 45*135=6075, Resulting Numbers: [81, 6075]
Generated Node #3: [81, 6075] from Operation: 45*135=6075
Current State: 75:[81, 6075], Operations: ['91+44=135', '45*135=6075']
Exploring Operation: 6075/81=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
26,
39,
60,
6
] | 23 | [
"39-26=13",
"60/6=10",
"13+10=23"
] | Current State: 23:[26, 39, 60, 6], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [60, 6, 13]
Generated Node #2: [60, 6, 13] from Operation: 39-26=13
Current State: 23:[60, 6, 13], Operations: ['39-26=13']
Exploring Operation: 60/6=10, Resulting Numbers: [13, 10]
Generated Node #3: [13, 10] from Operation: 60/6=10
Current State: 23:[13, 10], Operations: ['39-26=13', '60/6=10']
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
13,
87,
7,
60
] | 39 | [
"7*60=420",
"87+420=507",
"507/13=39"
] | Current State: 39:[13, 87, 7, 60], Operations: []
Exploring Operation: 7*60=420, Resulting Numbers: [13, 87, 420]
Generated Node #2: [13, 87, 420] from Operation: 7*60=420
Current State: 39:[13, 87, 420], Operations: ['7*60=420']
Exploring Operation: 87+420=507, Resulting Numbers: [13, 507]
Generated Node #3: [13, 507] from Operation: 87+420=507
Current State: 39:[13, 507], Operations: ['7*60=420', '87+420=507']
Exploring Operation: 507/13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
7,
65,
2,
89
] | 52 | [
"2+89=91",
"91/7=13",
"65-13=52"
] | Current State: 52:[7, 65, 2, 89], Operations: []
Exploring Operation: 2+89=91, Resulting Numbers: [7, 65, 91]
Generated Node #2: [7, 65, 91] from Operation: 2+89=91
Current State: 52:[7, 65, 91], Operations: ['2+89=91']
Exploring Operation: 91/7=13, Resulting Numbers: [65, 13]
Generated Node #3: [65, 13] from Operation: 91/7=13
Current State: 52:[65, 13], Operations: ['2+89=91', '91/7=13']
Exploring Operation: 65-13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
8,
29,
76,
20
] | 22 | [
"76-20=56",
"56/8=7",
"29-7=22"
] | Current State: 22:[8, 29, 76, 20], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [8, 29, 56]
Generated Node #2: [8, 29, 56] from Operation: 76-20=56
Current State: 22:[8, 29, 56], Operations: ['76-20=56']
Exploring Operation: 56/8=7, Resulting Numbers: [29, 7]
Generated Node #3: [29, 7] from Operation: 56/8=7
Current State: 22:[29, 7], Operations: ['76-20=56', '56/8=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
21,
91,
21,
76
] | 16 | [
"21/21=1",
"91-76=15",
"1+15=16"
] | Current State: 16:[21, 91, 21, 76], Operations: []
Exploring Operation: 21/21=1, Resulting Numbers: [91, 76, 1]
Generated Node #2: [91, 76, 1] from Operation: 21/21=1
Current State: 16:[91, 76, 1], Operations: ['21/21=1']
Exploring Operation: 91-76=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 91-76=15
Current State: 16:[1, 15], Operations: ['21/21=1', '91-76=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
46,
96,
26,
20
] | 97 | [
"46-26=20",
"20/20=1",
"96+1=97"
] | Current State: 97:[46, 96, 26, 20], Operations: []
Exploring Operation: 46-26=20, Resulting Numbers: [96, 20, 20]
Generated Node #2: [96, 20, 20] from Operation: 46-26=20
Current State: 97:[96, 20, 20], Operations: ['46-26=20']
Exploring Operation: 20/20=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 20/20=1
Current State: 97:[96, 1], Operations: ['46-26=20', '20/20=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
14,
93,
9,
54
] | 87 | [
"14*9=126",
"93-54=39",
"126-39=87"
] | Current State: 87:[14, 93, 9, 54], Operations: []
Exploring Operation: 14*9=126, Resulting Numbers: [93, 54, 126]
Generated Node #2: [93, 54, 126] from Operation: 14*9=126
Current State: 87:[93, 54, 126], Operations: ['14*9=126']
Exploring Operation: 93-54=39, Resulting Numbers: [126, 39]
Generated Node #3: [126, 39] from Operation: 93-54=39
Current State: 87:[126, 39], Operations: ['14*9=126', '93-54=39']
Exploring Operation: 126-39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
85,
40,
69,
3
] | 82 | [
"85+40=125",
"69*3=207",
"207-125=82"
] | Current State: 82:[85, 40, 69, 3], Operations: []
Exploring Operation: 85+40=125, Resulting Numbers: [69, 3, 125]
Generated Node #2: [69, 3, 125] from Operation: 85+40=125
Current State: 82:[69, 3, 125], Operations: ['85+40=125']
Exploring Operation: 69*3=207, Resulting Numbers: [125, 207]
Generated Node #3: [125, 207] from Operation: 69*3=207
Current State: 82:[125, 207], Operations: ['85+40=125', '69*3=207']
Exploring Operation: 207-125=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
76,
97,
71,
32
] | 82 | [
"97-76=21",
"71+32=103",
"103-21=82"
] | Current State: 82:[76, 97, 71, 32], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [71, 32, 21]
Generated Node #2: [71, 32, 21] from Operation: 97-76=21
Current State: 82:[71, 32, 21], Operations: ['97-76=21']
Exploring Operation: 71+32=103, Resulting Numbers: [21, 103]
Generated Node #3: [21, 103] from Operation: 71+32=103
Current State: 82:[21, 103], Operations: ['97-76=21', '71+32=103']
Exploring Operation: 103-21=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
17,
33,
45,
18
] | 79 | [
"33-17=16",
"45+18=63",
"16+63=79"
] | Current State: 79:[17, 33, 45, 18], Operations: []
Exploring Operation: 33-17=16, Resulting Numbers: [45, 18, 16]
Generated Node #2: [45, 18, 16] from Operation: 33-17=16
Current State: 79:[45, 18, 16], Operations: ['33-17=16']
Exploring Operation: 45+18=63, Resulting Numbers: [16, 63]
Generated Node #3: [16, 63] from Operation: 45+18=63
Current State: 79:[16, 63], Operations: ['33-17=16', '45+18=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
83,
70,
70,
87
] | 83 | [
"70-70=0",
"87*0=0",
"83+0=83"
] | Current State: 83:[83, 70, 70, 87], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [83, 87, 0]
Generated Node #2: [83, 87, 0] from Operation: 70-70=0
Current State: 83:[83, 87, 0], Operations: ['70-70=0']
Exploring Operation: 87*0=0, Resulting Numbers: [83, 0]
Generated Node #3: [83, 0] from Operation: 87*0=0
Current State: 83:[83, 0], Operations: ['70-70=0', '87*0=0']
Exploring Operation: 83+0=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
86,
13,
72,
21
] | 20 | [
"86-13=73",
"72+21=93",
"93-73=20"
] | Current State: 20:[86, 13, 72, 21], Operations: []
Exploring Operation: 86-13=73, Resulting Numbers: [72, 21, 73]
Generated Node #2: [72, 21, 73] from Operation: 86-13=73
Current State: 20:[72, 21, 73], Operations: ['86-13=73']
Exploring Operation: 72+21=93, Resulting Numbers: [73, 93]
Generated Node #3: [73, 93] from Operation: 72+21=93
Current State: 20:[73, 93], Operations: ['86-13=73', '72+21=93']
Exploring Operation: 93-73=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
54,
54,
51,
73
] | 22 | [
"54-54=0",
"73-51=22",
"0+22=22"
] | Current State: 22:[54, 54, 51, 73], Operations: []
Exploring Operation: 54-54=0, Resulting Numbers: [51, 73, 0]
Generated Node #2: [51, 73, 0] from Operation: 54-54=0
Current State: 22:[51, 73, 0], Operations: ['54-54=0']
Exploring Operation: 73-51=22, Resulting Numbers: [0, 22]
Generated Node #3: [0, 22] from Operation: 73-51=22
Current State: 22:[0, 22], Operations: ['54-54=0', '73-51=22']
Exploring Operation: 0+22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
3,
67,
85,
64
] | 52 | [
"3*67=201",
"85+64=149",
"201-149=52"
] | Current State: 52:[3, 67, 85, 64], Operations: []
Exploring Operation: 3*67=201, Resulting Numbers: [85, 64, 201]
Generated Node #2: [85, 64, 201] from Operation: 3*67=201
Current State: 52:[85, 64, 201], Operations: ['3*67=201']
Exploring Operation: 85+64=149, Resulting Numbers: [201, 149]
Generated Node #3: [201, 149] from Operation: 85+64=149
Current State: 52:[201, 149], Operations: ['3*67=201', '85+64=149']
Exploring Operation: 201-149=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
73,
22,
26,
62
] | 52 | [
"73-62=11",
"22*26=572",
"572/11=52"
] | Current State: 52:[73, 22, 26, 62], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [22, 26, 11]
Generated Node #2: [22, 26, 11] from Operation: 73-62=11
Current State: 52:[22, 26, 11], Operations: ['73-62=11']
Exploring Operation: 22*26=572, Resulting Numbers: [11, 572]
Generated Node #3: [11, 572] from Operation: 22*26=572
Current State: 52:[11, 572], Operations: ['73-62=11', '22*26=572']
Exploring Operation: 572/11=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
41,
39,
66,
77
] | 63 | [
"41+39=80",
"66+77=143",
"143-80=63"
] | Current State: 63:[41, 39, 66, 77], Operations: []
Exploring Operation: 41+39=80, Resulting Numbers: [66, 77, 80]
Generated Node #2: [66, 77, 80] from Operation: 41+39=80
Current State: 63:[66, 77, 80], Operations: ['41+39=80']
Exploring Operation: 66+77=143, Resulting Numbers: [80, 143]
Generated Node #3: [80, 143] from Operation: 66+77=143
Current State: 63:[80, 143], Operations: ['41+39=80', '66+77=143']
Exploring Operation: 143-80=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
49,
52,
68,
67
] | 100 | [
"49+52=101",
"68-67=1",
"101-1=100"
] | Current State: 100:[49, 52, 68, 67], Operations: []
Exploring Operation: 49+52=101, Resulting Numbers: [68, 67, 101]
Generated Node #2: [68, 67, 101] from Operation: 49+52=101
Current State: 100:[68, 67, 101], Operations: ['49+52=101']
Exploring Operation: 68-67=1, Resulting Numbers: [101, 1]
Generated Node #3: [101, 1] from Operation: 68-67=1
Current State: 100:[101, 1], Operations: ['49+52=101', '68-67=1']
Exploring Operation: 101-1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
98,
34,
52,
92
] | 80 | [
"98-34=64",
"52+92=144",
"144-64=80"
] | Current State: 80:[98, 34, 52, 92], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [52, 92, 64]
Generated Node #2: [52, 92, 64] from Operation: 98-34=64
Current State: 80:[52, 92, 64], Operations: ['98-34=64']
Exploring Operation: 52+92=144, Resulting Numbers: [64, 144]
Generated Node #3: [64, 144] from Operation: 52+92=144
Current State: 80:[64, 144], Operations: ['98-34=64', '52+92=144']
Exploring Operation: 144-64=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
13,
45,
20,
53
] | 65 | [
"45-13=32",
"53-20=33",
"32+33=65"
] | Current State: 65:[13, 45, 20, 53], Operations: []
Exploring Operation: 45-13=32, Resulting Numbers: [20, 53, 32]
Generated Node #2: [20, 53, 32] from Operation: 45-13=32
Current State: 65:[20, 53, 32], Operations: ['45-13=32']
Exploring Operation: 53-20=33, Resulting Numbers: [32, 33]
Generated Node #3: [32, 33] from Operation: 53-20=33
Current State: 65:[32, 33], Operations: ['45-13=32', '53-20=33']
Exploring Operation: 32+33=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
12,
5,
20
] | 52 | [
"16*20=320",
"320/5=64",
"64-12=52"
] | Current State: 52:[16, 12, 5, 20], Operations: []
Exploring Operation: 16*20=320, Resulting Numbers: [12, 5, 320]
Generated Node #2: [12, 5, 320] from Operation: 16*20=320
Current State: 52:[12, 5, 320], Operations: ['16*20=320']
Exploring Operation: 320/5=64, Resulting Numbers: [12, 64]
Generated Node #3: [12, 64] from Operation: 320/5=64
Current State: 52:[12, 64], Operations: ['16*20=320', '320/5=64']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
64,
96,
87,
2
] | 60 | [
"64*87=5568",
"5568/96=58",
"2+58=60"
] | Current State: 60:[64, 96, 87, 2], Operations: []
Exploring Operation: 64*87=5568, Resulting Numbers: [96, 2, 5568]
Generated Node #2: [96, 2, 5568] from Operation: 64*87=5568
Current State: 60:[96, 2, 5568], Operations: ['64*87=5568']
Exploring Operation: 5568/96=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 5568/96=58
Current State: 60:[2, 58], Operations: ['64*87=5568', '5568/96=58']
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
19,
97,
40,
40
] | 77 | [
"97-19=78",
"40/40=1",
"78-1=77"
] | Current State: 77:[19, 97, 40, 40], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [40, 40, 78]
Generated Node #2: [40, 40, 78] from Operation: 97-19=78
Current State: 77:[40, 40, 78], Operations: ['97-19=78']
Exploring Operation: 40/40=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 40/40=1
Current State: 77:[78, 1], Operations: ['97-19=78', '40/40=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
68,
59,
81,
57
] | 15 | [
"68-59=9",
"81-57=24",
"24-9=15"
] | Current State: 15:[68, 59, 81, 57], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [81, 57, 9]
Generated Node #2: [81, 57, 9] from Operation: 68-59=9
Current State: 15:[81, 57, 9], Operations: ['68-59=9']
Exploring Operation: 81-57=24, Resulting Numbers: [9, 24]
Generated Node #3: [9, 24] from Operation: 81-57=24
Current State: 15:[9, 24], Operations: ['68-59=9', '81-57=24']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
36,
27,
20,
73
] | 41 | [
"27+73=100",
"100/20=5",
"36+5=41"
] | Current State: 41:[36, 27, 20, 73], Operations: []
Exploring Operation: 27+73=100, Resulting Numbers: [36, 20, 100]
Generated Node #2: [36, 20, 100] from Operation: 27+73=100
Current State: 41:[36, 20, 100], Operations: ['27+73=100']
Exploring Operation: 100/20=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 100/20=5
Current State: 41:[36, 5], Operations: ['27+73=100', '100/20=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
78,
58,
1,
64
] | 43 | [
"78-58=20",
"64-1=63",
"63-20=43"
] | Current State: 43:[78, 58, 1, 64], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [1, 64, 20]
Generated Node #2: [1, 64, 20] from Operation: 78-58=20
Current State: 43:[1, 64, 20], Operations: ['78-58=20']
Exploring Operation: 64-1=63, Resulting Numbers: [20, 63]
Generated Node #3: [20, 63] from Operation: 64-1=63
Current State: 43:[20, 63], Operations: ['78-58=20', '64-1=63']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
37,
3,
94,
93
] | 12 | [
"94-37=57",
"93-57=36",
"36/3=12"
] | Current State: 12:[37, 3, 94, 93], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [3, 93, 57]
Generated Node #2: [3, 93, 57] from Operation: 94-37=57
Current State: 12:[3, 93, 57], Operations: ['94-37=57']
Exploring Operation: 93-57=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 93-57=36
Current State: 12:[3, 36], Operations: ['94-37=57', '93-57=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
42,
18,
27,
56
] | 60 | [
"18+27=45",
"56*45=2520",
"2520/42=60"
] | Current State: 60:[42, 18, 27, 56], Operations: []
Exploring Operation: 18+27=45, Resulting Numbers: [42, 56, 45]
Generated Node #2: [42, 56, 45] from Operation: 18+27=45
Current State: 60:[42, 56, 45], Operations: ['18+27=45']
Exploring Operation: 56*45=2520, Resulting Numbers: [42, 2520]
Generated Node #3: [42, 2520] from Operation: 56*45=2520
Current State: 60:[42, 2520], Operations: ['18+27=45', '56*45=2520']
Exploring Operation: 2520/42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
73,
51,
12,
54
] | 64 | [
"73-51=22",
"54-12=42",
"22+42=64"
] | Current State: 64:[73, 51, 12, 54], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [12, 54, 22]
Generated Node #2: [12, 54, 22] from Operation: 73-51=22
Current State: 64:[12, 54, 22], Operations: ['73-51=22']
Exploring Operation: 54-12=42, Resulting Numbers: [22, 42]
Generated Node #3: [22, 42] from Operation: 54-12=42
Current State: 64:[22, 42], Operations: ['73-51=22', '54-12=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
85,
2,
38,
93
] | 42 | [
"93-85=8",
"8/2=4",
"38+4=42"
] | Current State: 42:[85, 2, 38, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [2, 38, 8]
Generated Node #2: [2, 38, 8] from Operation: 93-85=8
Current State: 42:[2, 38, 8], Operations: ['93-85=8']
Exploring Operation: 8/2=4, Resulting Numbers: [38, 4]
Generated Node #3: [38, 4] from Operation: 8/2=4
Current State: 42:[38, 4], Operations: ['93-85=8', '8/2=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
4,
7,
80,
38
] | 39 | [
"7-4=3",
"80-38=42",
"42-3=39"
] | Current State: 39:[4, 7, 80, 38], Operations: []
Exploring Operation: 7-4=3, Resulting Numbers: [80, 38, 3]
Generated Node #2: [80, 38, 3] from Operation: 7-4=3
Current State: 39:[80, 38, 3], Operations: ['7-4=3']
Exploring Operation: 80-38=42, Resulting Numbers: [3, 42]
Generated Node #3: [3, 42] from Operation: 80-38=42
Current State: 39:[3, 42], Operations: ['7-4=3', '80-38=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
14,
6,
52
] | 40 | [
"54-52=2",
"14+6=20",
"2*20=40"
] | Current State: 40:[54, 14, 6, 52], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [14, 6, 2]
Generated Node #2: [14, 6, 2] from Operation: 54-52=2
Current State: 40:[14, 6, 2], Operations: ['54-52=2']
Exploring Operation: 14+6=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 14+6=20
Current State: 40:[2, 20], Operations: ['54-52=2', '14+6=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
15,
75,
47,
54
] | 67 | [
"75-15=60",
"54-47=7",
"60+7=67"
] | Current State: 67:[15, 75, 47, 54], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [47, 54, 60]
Generated Node #2: [47, 54, 60] from Operation: 75-15=60
Current State: 67:[47, 54, 60], Operations: ['75-15=60']
Exploring Operation: 54-47=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 54-47=7
Current State: 67:[60, 7], Operations: ['75-15=60', '54-47=7']
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
66,
60,
63,
5
] | 27 | [
"63-60=3",
"66/3=22",
"5+22=27"
] | Current State: 27:[66, 60, 63, 5], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [66, 5, 3]
Generated Node #2: [66, 5, 3] from Operation: 63-60=3
Current State: 27:[66, 5, 3], Operations: ['63-60=3']
Exploring Operation: 66/3=22, Resulting Numbers: [5, 22]
Generated Node #3: [5, 22] from Operation: 66/3=22
Current State: 27:[5, 22], Operations: ['63-60=3', '66/3=22']
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
12,
60,
17,
33
] | 11 | [
"60/12=5",
"33-17=16",
"16-5=11"
] | Current State: 11:[12, 60, 17, 33], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [17, 33, 5]
Generated Node #2: [17, 33, 5] from Operation: 60/12=5
Current State: 11:[17, 33, 5], Operations: ['60/12=5']
Exploring Operation: 33-17=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 33-17=16
Current State: 11:[5, 16], Operations: ['60/12=5', '33-17=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
31,
93,
27,
75
] | 51 | [
"93/31=3",
"75-27=48",
"3+48=51"
] | Current State: 51:[31, 93, 27, 75], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [27, 75, 3]
Generated Node #2: [27, 75, 3] from Operation: 93/31=3
Current State: 51:[27, 75, 3], Operations: ['93/31=3']
Exploring Operation: 75-27=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 75-27=48
Current State: 51:[3, 48], Operations: ['93/31=3', '75-27=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
99,
14,
92,
35
] | 33 | [
"99-92=7",
"14/7=2",
"35-2=33"
] | Current State: 33:[99, 14, 92, 35], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [14, 35, 7]
Generated Node #2: [14, 35, 7] from Operation: 99-92=7
Current State: 33:[14, 35, 7], Operations: ['99-92=7']
Exploring Operation: 14/7=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 14/7=2
Current State: 33:[35, 2], Operations: ['99-92=7', '14/7=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
3,
26,
89,
84
] | 24 | [
"3+26=29",
"89-84=5",
"29-5=24"
] | Current State: 24:[3, 26, 89, 84], Operations: []
Exploring Operation: 3+26=29, Resulting Numbers: [89, 84, 29]
Generated Node #2: [89, 84, 29] from Operation: 3+26=29
Current State: 24:[89, 84, 29], Operations: ['3+26=29']
Exploring Operation: 89-84=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 89-84=5
Current State: 24:[29, 5], Operations: ['3+26=29', '89-84=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
39,
80,
1,
51
] | 93 | [
"80-39=41",
"1+51=52",
"41+52=93"
] | Current State: 93:[39, 80, 1, 51], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [1, 51, 41]
Generated Node #2: [1, 51, 41] from Operation: 80-39=41
Current State: 93:[1, 51, 41], Operations: ['80-39=41']
Exploring Operation: 1+51=52, Resulting Numbers: [41, 52]
Generated Node #3: [41, 52] from Operation: 1+51=52
Current State: 93:[41, 52], Operations: ['80-39=41', '1+51=52']
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
80,
45,
11,
85
] | 54 | [
"11+85=96",
"45*96=4320",
"4320/80=54"
] | Current State: 54:[80, 45, 11, 85], Operations: []
Exploring Operation: 11+85=96, Resulting Numbers: [80, 45, 96]
Generated Node #2: [80, 45, 96] from Operation: 11+85=96
Current State: 54:[80, 45, 96], Operations: ['11+85=96']
Exploring Operation: 45*96=4320, Resulting Numbers: [80, 4320]
Generated Node #3: [80, 4320] from Operation: 45*96=4320
Current State: 54:[80, 4320], Operations: ['11+85=96', '45*96=4320']
Exploring Operation: 4320/80=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
16,
80,
48,
14
] | 18 | [
"16+14=30",
"48*30=1440",
"1440/80=18"
] | Current State: 18:[16, 80, 48, 14], Operations: []
Exploring Operation: 16+14=30, Resulting Numbers: [80, 48, 30]
Generated Node #2: [80, 48, 30] from Operation: 16+14=30
Current State: 18:[80, 48, 30], Operations: ['16+14=30']
Exploring Operation: 48*30=1440, Resulting Numbers: [80, 1440]
Generated Node #3: [80, 1440] from Operation: 48*30=1440
Current State: 18:[80, 1440], Operations: ['16+14=30', '48*30=1440']
Exploring Operation: 1440/80=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
29,
28,
82,
2
] | 50 | [
"29+28=57",
"82-57=25",
"2*25=50"
] | Current State: 50:[29, 28, 82, 2], Operations: []
Exploring Operation: 29+28=57, Resulting Numbers: [82, 2, 57]
Generated Node #2: [82, 2, 57] from Operation: 29+28=57
Current State: 50:[82, 2, 57], Operations: ['29+28=57']
Exploring Operation: 82-57=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 82-57=25
Current State: 50:[2, 25], Operations: ['29+28=57', '82-57=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
27,
63,
27,
24
] | 30 | [
"27+63=90",
"27-24=3",
"90/3=30"
] | Current State: 30:[27, 63, 27, 24], Operations: []
Exploring Operation: 27+63=90, Resulting Numbers: [24, 90]
Generated Node #2: [24, 90] from Operation: 27+63=90
Current State: 30:[24, 90], Operations: ['27+63=90']
Exploring Operation: 27-24=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 27-24=3
Current State: 30:[90, 3], Operations: ['27+63=90', '27-24=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
15,
39,
90,
32
] | 65 | [
"90/15=6",
"39+32=71",
"71-6=65"
] | Current State: 65:[15, 39, 90, 32], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [39, 32, 6]
Generated Node #2: [39, 32, 6] from Operation: 90/15=6
Current State: 65:[39, 32, 6], Operations: ['90/15=6']
Exploring Operation: 39+32=71, Resulting Numbers: [6, 71]
Generated Node #3: [6, 71] from Operation: 39+32=71
Current State: 65:[6, 71], Operations: ['90/15=6', '39+32=71']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
79,
13,
32,
22
] | 96 | [
"79-13=66",
"32*66=2112",
"2112/22=96"
] | Current State: 96:[79, 13, 32, 22], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [32, 22, 66]
Generated Node #2: [32, 22, 66] from Operation: 79-13=66
Current State: 96:[32, 22, 66], Operations: ['79-13=66']
Exploring Operation: 32*66=2112, Resulting Numbers: [22, 2112]
Generated Node #3: [22, 2112] from Operation: 32*66=2112
Current State: 96:[22, 2112], Operations: ['79-13=66', '32*66=2112']
Exploring Operation: 2112/22=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
82,
44,
3,
29
] | 39 | [
"82+44=126",
"3*29=87",
"126-87=39"
] | Current State: 39:[82, 44, 3, 29], Operations: []
Exploring Operation: 82+44=126, Resulting Numbers: [3, 29, 126]
Generated Node #2: [3, 29, 126] from Operation: 82+44=126
Current State: 39:[3, 29, 126], Operations: ['82+44=126']
Exploring Operation: 3*29=87, Resulting Numbers: [126, 87]
Generated Node #3: [126, 87] from Operation: 3*29=87
Current State: 39:[126, 87], Operations: ['82+44=126', '3*29=87']
Exploring Operation: 126-87=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
55,
47,
57,
38
] | 18 | [
"57-55=2",
"47-38=9",
"2*9=18"
] | Current State: 18:[55, 47, 57, 38], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [47, 38, 2]
Generated Node #2: [47, 38, 2] from Operation: 57-55=2
Current State: 18:[47, 38, 2], Operations: ['57-55=2']
Exploring Operation: 47-38=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 47-38=9
Current State: 18:[2, 9], Operations: ['57-55=2', '47-38=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
17,
37,
72,
25
] | 43 | [
"17+37=54",
"72+25=97",
"97-54=43"
] | Current State: 43:[17, 37, 72, 25], Operations: []
Exploring Operation: 17+37=54, Resulting Numbers: [72, 25, 54]
Generated Node #2: [72, 25, 54] from Operation: 17+37=54
Current State: 43:[72, 25, 54], Operations: ['17+37=54']
Exploring Operation: 72+25=97, Resulting Numbers: [54, 97]
Generated Node #3: [54, 97] from Operation: 72+25=97
Current State: 43:[54, 97], Operations: ['17+37=54', '72+25=97']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
7,
22,
35,
36
] | 33 | [
"36-22=14",
"14/7=2",
"35-2=33"
] | Current State: 33:[7, 22, 35, 36], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [7, 35, 14]
Generated Node #2: [7, 35, 14] from Operation: 36-22=14
Current State: 33:[7, 35, 14], Operations: ['36-22=14']
Exploring Operation: 14/7=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 14/7=2
Current State: 33:[35, 2], Operations: ['36-22=14', '14/7=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
61,
63,
59,
88
] | 58 | [
"63-61=2",
"88-59=29",
"2*29=58"
] | Current State: 58:[61, 63, 59, 88], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [59, 88, 2]
Generated Node #2: [59, 88, 2] from Operation: 63-61=2
Current State: 58:[59, 88, 2], Operations: ['63-61=2']
Exploring Operation: 88-59=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 88-59=29
Current State: 58:[2, 29], Operations: ['63-61=2', '88-59=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
27,
61,
3,
41
] | 87 | [
"61-41=20",
"3*20=60",
"27+60=87"
] | Current State: 87:[27, 61, 3, 41], Operations: []
Exploring Operation: 61-41=20, Resulting Numbers: [27, 3, 20]
Generated Node #2: [27, 3, 20] from Operation: 61-41=20
Current State: 87:[27, 3, 20], Operations: ['61-41=20']
Exploring Operation: 3*20=60, Resulting Numbers: [27, 60]
Generated Node #3: [27, 60] from Operation: 3*20=60
Current State: 87:[27, 60], Operations: ['61-41=20', '3*20=60']
Exploring Operation: 27+60=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
19,
90,
94,
68
] | 45 | [
"90-19=71",
"94-68=26",
"71-26=45"
] | Current State: 45:[19, 90, 94, 68], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [94, 68, 71]
Generated Node #2: [94, 68, 71] from Operation: 90-19=71
Current State: 45:[94, 68, 71], Operations: ['90-19=71']
Exploring Operation: 94-68=26, Resulting Numbers: [71, 26]
Generated Node #3: [71, 26] from Operation: 94-68=26
Current State: 45:[71, 26], Operations: ['90-19=71', '94-68=26']
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
59,
74,
85,
82
] | 12 | [
"74-59=15",
"85-82=3",
"15-3=12"
] | Current State: 12:[59, 74, 85, 82], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [85, 82, 15]
Generated Node #2: [85, 82, 15] from Operation: 74-59=15
Current State: 12:[85, 82, 15], Operations: ['74-59=15']
Exploring Operation: 85-82=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 85-82=3
Current State: 12:[15, 3], Operations: ['74-59=15', '85-82=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
30,
3,
81
] | 34 | [
"81-30=51",
"2*51=102",
"102/3=34"
] | Current State: 34:[2, 30, 3, 81], Operations: []
Exploring Operation: 81-30=51, Resulting Numbers: [2, 3, 51]
Generated Node #2: [2, 3, 51] from Operation: 81-30=51
Current State: 34:[2, 3, 51], Operations: ['81-30=51']
Exploring Operation: 2*51=102, Resulting Numbers: [3, 102]
Generated Node #3: [3, 102] from Operation: 2*51=102
Current State: 34:[3, 102], Operations: ['81-30=51', '2*51=102']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
38,
64,
22,
2
] | 29 | [
"38+64=102",
"102/2=51",
"51-22=29"
] | Current State: 29:[38, 64, 22, 2], Operations: []
Exploring Operation: 38+64=102, Resulting Numbers: [22, 2, 102]
Generated Node #2: [22, 2, 102] from Operation: 38+64=102
Current State: 29:[22, 2, 102], Operations: ['38+64=102']
Exploring Operation: 102/2=51, Resulting Numbers: [22, 51]
Generated Node #3: [22, 51] from Operation: 102/2=51
Current State: 29:[22, 51], Operations: ['38+64=102', '102/2=51']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
21,
81,
42,
54
] | 49 | [
"42*54=2268",
"2268/81=28",
"21+28=49"
] | Current State: 49:[21, 81, 42, 54], Operations: []
Exploring Operation: 42*54=2268, Resulting Numbers: [21, 81, 2268]
Generated Node #2: [21, 81, 2268] from Operation: 42*54=2268
Current State: 49:[21, 81, 2268], Operations: ['42*54=2268']
Exploring Operation: 2268/81=28, Resulting Numbers: [21, 28]
Generated Node #3: [21, 28] from Operation: 2268/81=28
Current State: 49:[21, 28], Operations: ['42*54=2268', '2268/81=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
16,
77,
65,
92
] | 23 | [
"77-16=61",
"65-61=4",
"92/4=23"
] | Current State: 23:[16, 77, 65, 92], Operations: []
Exploring Operation: 77-16=61, Resulting Numbers: [65, 92, 61]
Generated Node #2: [65, 92, 61] from Operation: 77-16=61
Current State: 23:[65, 92, 61], Operations: ['77-16=61']
Exploring Operation: 65-61=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 65-61=4
Current State: 23:[92, 4], Operations: ['77-16=61', '65-61=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
70,
7,
14,
36
] | 23 | [
"7*36=252",
"70+252=322",
"322/14=23"
] | Current State: 23:[70, 7, 14, 36], Operations: []
Exploring Operation: 7*36=252, Resulting Numbers: [70, 14, 252]
Generated Node #2: [70, 14, 252] from Operation: 7*36=252
Current State: 23:[70, 14, 252], Operations: ['7*36=252']
Exploring Operation: 70+252=322, Resulting Numbers: [14, 322]
Generated Node #3: [14, 322] from Operation: 70+252=322
Current State: 23:[14, 322], Operations: ['7*36=252', '70+252=322']
Exploring Operation: 322/14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
10,
23,
3
] | 64 | [
"34+10=44",
"23-3=20",
"44+20=64"
] | Current State: 64:[34, 10, 23, 3], Operations: []
Exploring Operation: 34+10=44, Resulting Numbers: [23, 3, 44]
Generated Node #2: [23, 3, 44] from Operation: 34+10=44
Current State: 64:[23, 3, 44], Operations: ['34+10=44']
Exploring Operation: 23-3=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 23-3=20
Current State: 64:[44, 20], Operations: ['34+10=44', '23-3=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
57,
43,
62,
55
] | 38 | [
"57-55=2",
"62-43=19",
"2*19=38"
] | Current State: 38:[57, 43, 62, 55], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [43, 62, 2]
Generated Node #2: [43, 62, 2] from Operation: 57-55=2
Current State: 38:[43, 62, 2], Operations: ['57-55=2']
Exploring Operation: 62-43=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 62-43=19
Current State: 38:[2, 19], Operations: ['57-55=2', '62-43=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
76,
10,
20,
10
] | 79 | [
"10+20=30",
"30/10=3",
"76+3=79"
] | Current State: 79:[76, 10, 20, 10], Operations: []
Exploring Operation: 10+20=30, Resulting Numbers: [76, 30]
Generated Node #2: [76, 30] from Operation: 10+20=30
Current State: 79:[76, 30], Operations: ['10+20=30']
Exploring Operation: 30/10=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 30/10=3
Current State: 79:[76, 3], Operations: ['10+20=30', '30/10=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
37,
48,
46,
43
] | 14 | [
"48-37=11",
"46-43=3",
"11+3=14"
] | Current State: 14:[37, 48, 46, 43], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [46, 43, 11]
Generated Node #2: [46, 43, 11] from Operation: 48-37=11
Current State: 14:[46, 43, 11], Operations: ['48-37=11']
Exploring Operation: 46-43=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 46-43=3
Current State: 14:[11, 3], Operations: ['48-37=11', '46-43=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
5,
92,
4,
95
] | 69 | [
"95/5=19",
"92-4=88",
"88-19=69"
] | Current State: 69:[5, 92, 4, 95], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [92, 4, 19]
Generated Node #2: [92, 4, 19] from Operation: 95/5=19
Current State: 69:[92, 4, 19], Operations: ['95/5=19']
Exploring Operation: 92-4=88, Resulting Numbers: [19, 88]
Generated Node #3: [19, 88] from Operation: 92-4=88
Current State: 69:[19, 88], Operations: ['95/5=19', '92-4=88']
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
72,
14,
59,
37
] | 37 | [
"72-14=58",
"59-58=1",
"37*1=37"
] | Current State: 37:[72, 14, 59, 37], Operations: []
Exploring Operation: 72-14=58, Resulting Numbers: [59, 37, 58]
Generated Node #2: [59, 37, 58] from Operation: 72-14=58
Current State: 37:[59, 37, 58], Operations: ['72-14=58']
Exploring Operation: 59-58=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 59-58=1
Current State: 37:[37, 1], Operations: ['72-14=58', '59-58=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
85,
97,
77,
19
] | 84 | [
"97-85=12",
"77+19=96",
"96-12=84"
] | Current State: 84:[85, 97, 77, 19], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [77, 19, 12]
Generated Node #2: [77, 19, 12] from Operation: 97-85=12
Current State: 84:[77, 19, 12], Operations: ['97-85=12']
Exploring Operation: 77+19=96, Resulting Numbers: [12, 96]
Generated Node #3: [12, 96] from Operation: 77+19=96
Current State: 84:[12, 96], Operations: ['97-85=12', '77+19=96']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
38,
65,
93,
76
] | 26 | [
"76/38=2",
"93-65=28",
"28-2=26"
] | Current State: 26:[38, 65, 93, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [65, 93, 2]
Generated Node #2: [65, 93, 2] from Operation: 76/38=2
Current State: 26:[65, 93, 2], Operations: ['76/38=2']
Exploring Operation: 93-65=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 93-65=28
Current State: 26:[2, 28], Operations: ['76/38=2', '93-65=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
34,
48,
7,
3
] | 22 | [
"7-3=4",
"48/4=12",
"34-12=22"
] | Current State: 22:[34, 48, 7, 3], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [34, 48, 4]
Generated Node #2: [34, 48, 4] from Operation: 7-3=4
Current State: 22:[34, 48, 4], Operations: ['7-3=4']
Exploring Operation: 48/4=12, Resulting Numbers: [34, 12]
Generated Node #3: [34, 12] from Operation: 48/4=12
Current State: 22:[34, 12], Operations: ['7-3=4', '48/4=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
63,
37,
48,
52
] | 50 | [
"63-37=26",
"52/26=2",
"48+2=50"
] | Current State: 50:[63, 37, 48, 52], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [48, 52, 26]
Generated Node #2: [48, 52, 26] from Operation: 63-37=26
Current State: 50:[48, 52, 26], Operations: ['63-37=26']
Exploring Operation: 52/26=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 52/26=2
Current State: 50:[48, 2], Operations: ['63-37=26', '52/26=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
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