nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
22,
10,
90,
5
] | 10 | [
"22*5=110",
"10+90=100",
"110-100=10"
] | Current State: 10:[22, 10, 90, 5], Operations: []
Exploring Operation: 22*5=110, Resulting Numbers: [10, 90, 110]
Generated Node #2: [10, 90, 110] from Operation: 22*5=110
Current State: 10:[10, 90, 110], Operations: ['22*5=110']
Exploring Operation: 10+90=100, Resulting Numbers: [110, 100]
Generated Node #3: [110, 100] from Operation: 10+90=100
Current State: 10:[110, 100], Operations: ['22*5=110', '10+90=100']
Exploring Operation: 110-100=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
2,
18,
21,
6
] | 65 | [
"18*21=378",
"378/6=63",
"2+63=65"
] | Current State: 65:[2, 18, 21, 6], Operations: []
Exploring Operation: 18*21=378, Resulting Numbers: [2, 6, 378]
Generated Node #2: [2, 6, 378] from Operation: 18*21=378
Current State: 65:[2, 6, 378], Operations: ['18*21=378']
Exploring Operation: 378/6=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 378/6=63
Current State: 65:[2, 63], Operations: ['18*21=378', '378/6=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
38,
39,
3,
18
] | 61 | [
"38+18=56",
"39*3=117",
"117-56=61"
] | Current State: 61:[38, 39, 3, 18], Operations: []
Exploring Operation: 38+18=56, Resulting Numbers: [39, 3, 56]
Generated Node #2: [39, 3, 56] from Operation: 38+18=56
Current State: 61:[39, 3, 56], Operations: ['38+18=56']
Exploring Operation: 39*3=117, Resulting Numbers: [56, 117]
Generated Node #3: [56, 117] from Operation: 39*3=117
Current State: 61:[56, 117], Operations: ['38+18=56', '39*3=117']
Exploring Operation: 117-56=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
29,
93,
88,
97
] | 28 | [
"97-93=4",
"29*4=116",
"116-88=28"
] | Current State: 28:[29, 93, 88, 97], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [29, 88, 4]
Generated Node #2: [29, 88, 4] from Operation: 97-93=4
Current State: 28:[29, 88, 4], Operations: ['97-93=4']
Exploring Operation: 29*4=116, Resulting Numbers: [88, 116]
Generated Node #3: [88, 116] from Operation: 29*4=116
Current State: 28:[88, 116], Operations: ['97-93=4', '29*4=116']
Exploring Operation: 116-88=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
25,
34,
76,
81
] | 98 | [
"25+34=59",
"76+81=157",
"157-59=98"
] | Current State: 98:[25, 34, 76, 81], Operations: []
Exploring Operation: 25+34=59, Resulting Numbers: [76, 81, 59]
Generated Node #2: [76, 81, 59] from Operation: 25+34=59
Current State: 98:[76, 81, 59], Operations: ['25+34=59']
Exploring Operation: 76+81=157, Resulting Numbers: [59, 157]
Generated Node #3: [59, 157] from Operation: 76+81=157
Current State: 98:[59, 157], Operations: ['25+34=59', '76+81=157']
Exploring Operation: 157-59=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
51,
84,
31,
81
] | 79 | [
"84-51=33",
"31+81=112",
"112-33=79"
] | Current State: 79:[51, 84, 31, 81], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [31, 81, 33]
Generated Node #2: [31, 81, 33] from Operation: 84-51=33
Current State: 79:[31, 81, 33], Operations: ['84-51=33']
Exploring Operation: 31+81=112, Resulting Numbers: [33, 112]
Generated Node #3: [33, 112] from Operation: 31+81=112
Current State: 79:[33, 112], Operations: ['84-51=33', '31+81=112']
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
61,
74,
64,
54
] | 88 | [
"64-61=3",
"54*3=162",
"162-74=88"
] | Current State: 88:[61, 74, 64, 54], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [74, 54, 3]
Generated Node #2: [74, 54, 3] from Operation: 64-61=3
Current State: 88:[74, 54, 3], Operations: ['64-61=3']
Exploring Operation: 54*3=162, Resulting Numbers: [74, 162]
Generated Node #3: [74, 162] from Operation: 54*3=162
Current State: 88:[74, 162], Operations: ['64-61=3', '54*3=162']
Exploring Operation: 162-74=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
21,
85,
50,
70
] | 86 | [
"21+85=106",
"70-50=20",
"106-20=86"
] | Current State: 86:[21, 85, 50, 70], Operations: []
Exploring Operation: 21+85=106, Resulting Numbers: [50, 70, 106]
Generated Node #2: [50, 70, 106] from Operation: 21+85=106
Current State: 86:[50, 70, 106], Operations: ['21+85=106']
Exploring Operation: 70-50=20, Resulting Numbers: [106, 20]
Generated Node #3: [106, 20] from Operation: 70-50=20
Current State: 86:[106, 20], Operations: ['21+85=106', '70-50=20']
Exploring Operation: 106-20=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
93,
58,
2
] | 96 | [
"64-58=6",
"6/2=3",
"93+3=96"
] | Current State: 96:[64, 93, 58, 2], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [93, 2, 6]
Generated Node #2: [93, 2, 6] from Operation: 64-58=6
Current State: 96:[93, 2, 6], Operations: ['64-58=6']
Exploring Operation: 6/2=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 6/2=3
Current State: 96:[93, 3], Operations: ['64-58=6', '6/2=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
93,
68,
54,
22
] | 51 | [
"93-68=25",
"54+22=76",
"76-25=51"
] | Current State: 51:[93, 68, 54, 22], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [54, 22, 25]
Generated Node #2: [54, 22, 25] from Operation: 93-68=25
Current State: 51:[54, 22, 25], Operations: ['93-68=25']
Exploring Operation: 54+22=76, Resulting Numbers: [25, 76]
Generated Node #3: [25, 76] from Operation: 54+22=76
Current State: 51:[25, 76], Operations: ['93-68=25', '54+22=76']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
20,
2,
57,
45
] | 41 | [
"57-20=37",
"45+37=82",
"82/2=41"
] | Current State: 41:[20, 2, 57, 45], Operations: []
Exploring Operation: 57-20=37, Resulting Numbers: [2, 45, 37]
Generated Node #2: [2, 45, 37] from Operation: 57-20=37
Current State: 41:[2, 45, 37], Operations: ['57-20=37']
Exploring Operation: 45+37=82, Resulting Numbers: [2, 82]
Generated Node #3: [2, 82] from Operation: 45+37=82
Current State: 41:[2, 82], Operations: ['57-20=37', '45+37=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
36,
36,
72,
5
] | 46 | [
"72/36=2",
"5*2=10",
"36+10=46"
] | Current State: 46:[36, 36, 72, 5], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [5, 2]
Generated Node #2: [5, 2] from Operation: 72/36=2
Current State: 46:[5, 2], Operations: ['72/36=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,46 equal: Goal Reached
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
10,
78,
52,
45
] | 60 | [
"10*78=780",
"780/52=15",
"45+15=60"
] | Current State: 60:[10, 78, 52, 45], Operations: []
Exploring Operation: 10*78=780, Resulting Numbers: [52, 45, 780]
Generated Node #2: [52, 45, 780] from Operation: 10*78=780
Current State: 60:[52, 45, 780], Operations: ['10*78=780']
Exploring Operation: 780/52=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 780/52=15
Current State: 60:[45, 15], Operations: ['10*78=780', '780/52=15']
Exploring Operation: 45+15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
96,
24,
11
] | 90 | [
"24*11=264",
"96+264=360",
"360/4=90"
] | Current State: 90:[4, 96, 24, 11], Operations: []
Exploring Operation: 24*11=264, Resulting Numbers: [4, 96, 264]
Generated Node #2: [4, 96, 264] from Operation: 24*11=264
Current State: 90:[4, 96, 264], Operations: ['24*11=264']
Exploring Operation: 96+264=360, Resulting Numbers: [4, 360]
Generated Node #3: [4, 360] from Operation: 96+264=360
Current State: 90:[4, 360], Operations: ['24*11=264', '96+264=360']
Exploring Operation: 360/4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
12,
17,
46,
39
] | 56 | [
"12+17=29",
"46+39=85",
"85-29=56"
] | Current State: 56:[12, 17, 46, 39], Operations: []
Exploring Operation: 12+17=29, Resulting Numbers: [46, 39, 29]
Generated Node #2: [46, 39, 29] from Operation: 12+17=29
Current State: 56:[46, 39, 29], Operations: ['12+17=29']
Exploring Operation: 46+39=85, Resulting Numbers: [29, 85]
Generated Node #3: [29, 85] from Operation: 46+39=85
Current State: 56:[29, 85], Operations: ['12+17=29', '46+39=85']
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
31,
28,
80,
2
] | 57 | [
"80-28=52",
"52/2=26",
"31+26=57"
] | Current State: 57:[31, 28, 80, 2], Operations: []
Exploring Operation: 80-28=52, Resulting Numbers: [31, 2, 52]
Generated Node #2: [31, 2, 52] from Operation: 80-28=52
Current State: 57:[31, 2, 52], Operations: ['80-28=52']
Exploring Operation: 52/2=26, Resulting Numbers: [31, 26]
Generated Node #3: [31, 26] from Operation: 52/2=26
Current State: 57:[31, 26], Operations: ['80-28=52', '52/2=26']
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
36,
26,
1,
34
] | 54 | [
"36-34=2",
"26+1=27",
"2*27=54"
] | Current State: 54:[36, 26, 1, 34], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [26, 1, 2]
Generated Node #2: [26, 1, 2] from Operation: 36-34=2
Current State: 54:[26, 1, 2], Operations: ['36-34=2']
Exploring Operation: 26+1=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 26+1=27
Current State: 54:[2, 27], Operations: ['36-34=2', '26+1=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
99,
2,
94,
6
] | 58 | [
"99+6=105",
"94/2=47",
"105-47=58"
] | Current State: 58:[99, 2, 94, 6], Operations: []
Exploring Operation: 99+6=105, Resulting Numbers: [2, 94, 105]
Generated Node #2: [2, 94, 105] from Operation: 99+6=105
Current State: 58:[2, 94, 105], Operations: ['99+6=105']
Exploring Operation: 94/2=47, Resulting Numbers: [105, 47]
Generated Node #3: [105, 47] from Operation: 94/2=47
Current State: 58:[105, 47], Operations: ['99+6=105', '94/2=47']
Exploring Operation: 105-47=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
16,
84,
41,
76
] | 31 | [
"84+76=160",
"160/16=10",
"41-10=31"
] | Current State: 31:[16, 84, 41, 76], Operations: []
Exploring Operation: 84+76=160, Resulting Numbers: [16, 41, 160]
Generated Node #2: [16, 41, 160] from Operation: 84+76=160
Current State: 31:[16, 41, 160], Operations: ['84+76=160']
Exploring Operation: 160/16=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 160/16=10
Current State: 31:[41, 10], Operations: ['84+76=160', '160/16=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
98,
80,
7,
53
] | 33 | [
"98+80=178",
"53+178=231",
"231/7=33"
] | Current State: 33:[98, 80, 7, 53], Operations: []
Exploring Operation: 98+80=178, Resulting Numbers: [7, 53, 178]
Generated Node #2: [7, 53, 178] from Operation: 98+80=178
Current State: 33:[7, 53, 178], Operations: ['98+80=178']
Exploring Operation: 53+178=231, Resulting Numbers: [7, 231]
Generated Node #3: [7, 231] from Operation: 53+178=231
Current State: 33:[7, 231], Operations: ['98+80=178', '53+178=231']
Exploring Operation: 231/7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
30,
17,
98,
22
] | 26 | [
"98-30=68",
"68/17=4",
"22+4=26"
] | Current State: 26:[30, 17, 98, 22], Operations: []
Exploring Operation: 98-30=68, Resulting Numbers: [17, 22, 68]
Generated Node #2: [17, 22, 68] from Operation: 98-30=68
Current State: 26:[17, 22, 68], Operations: ['98-30=68']
Exploring Operation: 68/17=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 68/17=4
Current State: 26:[22, 4], Operations: ['98-30=68', '68/17=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
10,
90,
26,
26
] | 81 | [
"90-10=80",
"26/26=1",
"80+1=81"
] | Current State: 81:[10, 90, 26, 26], Operations: []
Exploring Operation: 90-10=80, Resulting Numbers: [26, 26, 80]
Generated Node #2: [26, 26, 80] from Operation: 90-10=80
Current State: 81:[26, 26, 80], Operations: ['90-10=80']
Exploring Operation: 26/26=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 26/26=1
Current State: 81:[80, 1], Operations: ['90-10=80', '26/26=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
11,
27,
33,
19
] | 47 | [
"33-27=6",
"11*6=66",
"66-19=47"
] | Current State: 47:[11, 27, 33, 19], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [11, 19, 6]
Generated Node #2: [11, 19, 6] from Operation: 33-27=6
Current State: 47:[11, 19, 6], Operations: ['33-27=6']
Exploring Operation: 11*6=66, Resulting Numbers: [19, 66]
Generated Node #3: [19, 66] from Operation: 11*6=66
Current State: 47:[19, 66], Operations: ['33-27=6', '11*6=66']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
62,
84,
89,
43
] | 95 | [
"62-43=19",
"89-84=5",
"19*5=95"
] | Current State: 95:[62, 84, 89, 43], Operations: []
Exploring Operation: 62-43=19, Resulting Numbers: [84, 89, 19]
Generated Node #2: [84, 89, 19] from Operation: 62-43=19
Current State: 95:[84, 89, 19], Operations: ['62-43=19']
Exploring Operation: 89-84=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 89-84=5
Current State: 95:[19, 5], Operations: ['62-43=19', '89-84=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
65,
57,
98,
98
] | 74 | [
"65+57=122",
"98+98=196",
"196-122=74"
] | Current State: 74:[65, 57, 98, 98], Operations: []
Exploring Operation: 65+57=122, Resulting Numbers: [98, 98, 122]
Generated Node #2: [98, 98, 122] from Operation: 65+57=122
Current State: 74:[98, 98, 122], Operations: ['65+57=122']
Exploring Operation: 98+98=196, Resulting Numbers: [122, 196]
Generated Node #3: [122, 196] from Operation: 98+98=196
Current State: 74:[122, 196], Operations: ['65+57=122', '98+98=196']
Exploring Operation: 196-122=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
96,
75,
32
] | 53 | [
"96-32=64",
"2*64=128",
"128-75=53"
] | Current State: 53:[2, 96, 75, 32], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [2, 75, 64]
Generated Node #2: [2, 75, 64] from Operation: 96-32=64
Current State: 53:[2, 75, 64], Operations: ['96-32=64']
Exploring Operation: 2*64=128, Resulting Numbers: [75, 128]
Generated Node #3: [75, 128] from Operation: 2*64=128
Current State: 53:[75, 128], Operations: ['96-32=64', '2*64=128']
Exploring Operation: 128-75=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
64,
94,
96,
22
] | 48 | [
"94-22=72",
"64*72=4608",
"4608/96=48"
] | Current State: 48:[64, 94, 96, 22], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [64, 96, 72]
Generated Node #2: [64, 96, 72] from Operation: 94-22=72
Current State: 48:[64, 96, 72], Operations: ['94-22=72']
Exploring Operation: 64*72=4608, Resulting Numbers: [96, 4608]
Generated Node #3: [96, 4608] from Operation: 64*72=4608
Current State: 48:[96, 4608], Operations: ['94-22=72', '64*72=4608']
Exploring Operation: 4608/96=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
68,
1,
96
] | 99 | [
"68-64=4",
"96-1=95",
"4+95=99"
] | Current State: 99:[64, 68, 1, 96], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [1, 96, 4]
Generated Node #2: [1, 96, 4] from Operation: 68-64=4
Current State: 99:[1, 96, 4], Operations: ['68-64=4']
Exploring Operation: 96-1=95, Resulting Numbers: [4, 95]
Generated Node #3: [4, 95] from Operation: 96-1=95
Current State: 99:[4, 95], Operations: ['68-64=4', '96-1=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
83,
38,
31,
31
] | 44 | [
"83-38=45",
"31/31=1",
"45-1=44"
] | Current State: 44:[83, 38, 31, 31], Operations: []
Exploring Operation: 83-38=45, Resulting Numbers: [31, 31, 45]
Generated Node #2: [31, 31, 45] from Operation: 83-38=45
Current State: 44:[31, 31, 45], Operations: ['83-38=45']
Exploring Operation: 31/31=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 31/31=1
Current State: 44:[45, 1], Operations: ['83-38=45', '31/31=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
32,
12,
68,
25
] | 63 | [
"32-12=20",
"68-25=43",
"20+43=63"
] | Current State: 63:[32, 12, 68, 25], Operations: []
Exploring Operation: 32-12=20, Resulting Numbers: [68, 25, 20]
Generated Node #2: [68, 25, 20] from Operation: 32-12=20
Current State: 63:[68, 25, 20], Operations: ['32-12=20']
Exploring Operation: 68-25=43, Resulting Numbers: [20, 43]
Generated Node #3: [20, 43] from Operation: 68-25=43
Current State: 63:[20, 43], Operations: ['32-12=20', '68-25=43']
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
3,
86,
70,
84
] | 65 | [
"3+86=89",
"70+84=154",
"154-89=65"
] | Current State: 65:[3, 86, 70, 84], Operations: []
Exploring Operation: 3+86=89, Resulting Numbers: [70, 84, 89]
Generated Node #2: [70, 84, 89] from Operation: 3+86=89
Current State: 65:[70, 84, 89], Operations: ['3+86=89']
Exploring Operation: 70+84=154, Resulting Numbers: [89, 154]
Generated Node #3: [89, 154] from Operation: 70+84=154
Current State: 65:[89, 154], Operations: ['3+86=89', '70+84=154']
Exploring Operation: 154-89=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
7,
11,
31
] | 33 | [
"3+11=14",
"14/7=2",
"31+2=33"
] | Current State: 33:[3, 7, 11, 31], Operations: []
Exploring Operation: 3+11=14, Resulting Numbers: [7, 31, 14]
Generated Node #2: [7, 31, 14] from Operation: 3+11=14
Current State: 33:[7, 31, 14], Operations: ['3+11=14']
Exploring Operation: 14/7=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 14/7=2
Current State: 33:[31, 2], Operations: ['3+11=14', '14/7=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
90,
25,
29,
10
] | 36 | [
"90/10=9",
"29-25=4",
"9*4=36"
] | Current State: 36:[90, 25, 29, 10], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [25, 29, 9]
Generated Node #2: [25, 29, 9] from Operation: 90/10=9
Current State: 36:[25, 29, 9], Operations: ['90/10=9']
Exploring Operation: 29-25=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 29-25=4
Current State: 36:[9, 4], Operations: ['90/10=9', '29-25=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
47,
6,
6
] | 82 | [
"8-6=2",
"47-6=41",
"2*41=82"
] | Current State: 82:[8, 47, 6, 6], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [47, 2]
Generated Node #2: [47, 2] from Operation: 8-6=2
Current State: 82:[47, 2], Operations: ['8-6=2']
Exploring Operation: 47-6=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 47-6=41
Current State: 82:[2, 41], Operations: ['8-6=2', '47-6=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
10,
33,
46,
70
] | 91 | [
"70/10=7",
"46-33=13",
"7*13=91"
] | Current State: 91:[10, 33, 46, 70], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [33, 46, 7]
Generated Node #2: [33, 46, 7] from Operation: 70/10=7
Current State: 91:[33, 46, 7], Operations: ['70/10=7']
Exploring Operation: 46-33=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 46-33=13
Current State: 91:[7, 13], Operations: ['70/10=7', '46-33=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
1,
13,
4,
10
] | 55 | [
"1+4=5",
"13*5=65",
"65-10=55"
] | Current State: 55:[1, 13, 4, 10], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [13, 10, 5]
Generated Node #2: [13, 10, 5] from Operation: 1+4=5
Current State: 55:[13, 10, 5], Operations: ['1+4=5']
Exploring Operation: 13*5=65, Resulting Numbers: [10, 65]
Generated Node #3: [10, 65] from Operation: 13*5=65
Current State: 55:[10, 65], Operations: ['1+4=5', '13*5=65']
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
63,
20,
80
] | 51 | [
"63-8=55",
"80/20=4",
"55-4=51"
] | Current State: 51:[8, 63, 20, 80], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [20, 80, 55]
Generated Node #2: [20, 80, 55] from Operation: 63-8=55
Current State: 51:[20, 80, 55], Operations: ['63-8=55']
Exploring Operation: 80/20=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 80/20=4
Current State: 51:[55, 4], Operations: ['63-8=55', '80/20=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
38,
3,
11
] | 78 | [
"26+38=64",
"3+11=14",
"64+14=78"
] | Current State: 78:[26, 38, 3, 11], Operations: []
Exploring Operation: 26+38=64, Resulting Numbers: [3, 11, 64]
Generated Node #2: [3, 11, 64] from Operation: 26+38=64
Current State: 78:[3, 11, 64], Operations: ['26+38=64']
Exploring Operation: 3+11=14, Resulting Numbers: [64, 14]
Generated Node #3: [64, 14] from Operation: 3+11=14
Current State: 78:[64, 14], Operations: ['26+38=64', '3+11=14']
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
40,
1,
39,
29
] | 29 | [
"40*1=40",
"40-39=1",
"29*1=29"
] | Current State: 29:[40, 1, 39, 29], Operations: []
Exploring Operation: 40*1=40, Resulting Numbers: [39, 29, 40]
Generated Node #2: [39, 29, 40] from Operation: 40*1=40
Current State: 29:[39, 29, 40], Operations: ['40*1=40']
Exploring Operation: 40-39=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 40-39=1
Current State: 29:[29, 1], Operations: ['40*1=40', '40-39=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
68,
85,
75,
45
] | 13 | [
"85-68=17",
"75-45=30",
"30-17=13"
] | Current State: 13:[68, 85, 75, 45], Operations: []
Exploring Operation: 85-68=17, Resulting Numbers: [75, 45, 17]
Generated Node #2: [75, 45, 17] from Operation: 85-68=17
Current State: 13:[75, 45, 17], Operations: ['85-68=17']
Exploring Operation: 75-45=30, Resulting Numbers: [17, 30]
Generated Node #3: [17, 30] from Operation: 75-45=30
Current State: 13:[17, 30], Operations: ['85-68=17', '75-45=30']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
22,
33,
15,
27
] | 90 | [
"27-22=5",
"33-15=18",
"5*18=90"
] | Current State: 90:[22, 33, 15, 27], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [33, 15, 5]
Generated Node #2: [33, 15, 5] from Operation: 27-22=5
Current State: 90:[33, 15, 5], Operations: ['27-22=5']
Exploring Operation: 33-15=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 33-15=18
Current State: 90:[5, 18], Operations: ['27-22=5', '33-15=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
58,
47,
93,
70
] | 56 | [
"47+93=140",
"140/70=2",
"58-2=56"
] | Current State: 56:[58, 47, 93, 70], Operations: []
Exploring Operation: 47+93=140, Resulting Numbers: [58, 70, 140]
Generated Node #2: [58, 70, 140] from Operation: 47+93=140
Current State: 56:[58, 70, 140], Operations: ['47+93=140']
Exploring Operation: 140/70=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 140/70=2
Current State: 56:[58, 2], Operations: ['47+93=140', '140/70=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
1,
98,
12,
72
] | 38 | [
"1*98=98",
"72-12=60",
"98-60=38"
] | Current State: 38:[1, 98, 12, 72], Operations: []
Exploring Operation: 1*98=98, Resulting Numbers: [12, 72, 98]
Generated Node #2: [12, 72, 98] from Operation: 1*98=98
Current State: 38:[12, 72, 98], Operations: ['1*98=98']
Exploring Operation: 72-12=60, Resulting Numbers: [98, 60]
Generated Node #3: [98, 60] from Operation: 72-12=60
Current State: 38:[98, 60], Operations: ['1*98=98', '72-12=60']
Exploring Operation: 98-60=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
67,
81,
16,
56
] | 49 | [
"81-67=14",
"56*14=784",
"784/16=49"
] | Current State: 49:[67, 81, 16, 56], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [16, 56, 14]
Generated Node #2: [16, 56, 14] from Operation: 81-67=14
Current State: 49:[16, 56, 14], Operations: ['81-67=14']
Exploring Operation: 56*14=784, Resulting Numbers: [16, 784]
Generated Node #3: [16, 784] from Operation: 56*14=784
Current State: 49:[16, 784], Operations: ['81-67=14', '56*14=784']
Exploring Operation: 784/16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
81,
41,
19,
5
] | 98 | [
"81+41=122",
"19+5=24",
"122-24=98"
] | Current State: 98:[81, 41, 19, 5], Operations: []
Exploring Operation: 81+41=122, Resulting Numbers: [19, 5, 122]
Generated Node #2: [19, 5, 122] from Operation: 81+41=122
Current State: 98:[19, 5, 122], Operations: ['81+41=122']
Exploring Operation: 19+5=24, Resulting Numbers: [122, 24]
Generated Node #3: [122, 24] from Operation: 19+5=24
Current State: 98:[122, 24], Operations: ['81+41=122', '19+5=24']
Exploring Operation: 122-24=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
98,
88,
2
] | 37 | [
"98/7=14",
"88-14=74",
"74/2=37"
] | Current State: 37:[7, 98, 88, 2], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [88, 2, 14]
Generated Node #2: [88, 2, 14] from Operation: 98/7=14
Current State: 37:[88, 2, 14], Operations: ['98/7=14']
Exploring Operation: 88-14=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 88-14=74
Current State: 37:[2, 74], Operations: ['98/7=14', '88-14=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
61,
75,
58,
1
] | 71 | [
"75-61=14",
"58-1=57",
"14+57=71"
] | Current State: 71:[61, 75, 58, 1], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [58, 1, 14]
Generated Node #2: [58, 1, 14] from Operation: 75-61=14
Current State: 71:[58, 1, 14], Operations: ['75-61=14']
Exploring Operation: 58-1=57, Resulting Numbers: [14, 57]
Generated Node #3: [14, 57] from Operation: 58-1=57
Current State: 71:[14, 57], Operations: ['75-61=14', '58-1=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
79,
94,
68,
84
] | 21 | [
"79+94=173",
"68+84=152",
"173-152=21"
] | Current State: 21:[79, 94, 68, 84], Operations: []
Exploring Operation: 79+94=173, Resulting Numbers: [68, 84, 173]
Generated Node #2: [68, 84, 173] from Operation: 79+94=173
Current State: 21:[68, 84, 173], Operations: ['79+94=173']
Exploring Operation: 68+84=152, Resulting Numbers: [173, 152]
Generated Node #3: [173, 152] from Operation: 68+84=152
Current State: 21:[173, 152], Operations: ['79+94=173', '68+84=152']
Exploring Operation: 173-152=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
73,
75,
22,
71
] | 64 | [
"73-71=2",
"22/2=11",
"75-11=64"
] | Current State: 64:[73, 75, 22, 71], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [75, 22, 2]
Generated Node #2: [75, 22, 2] from Operation: 73-71=2
Current State: 64:[75, 22, 2], Operations: ['73-71=2']
Exploring Operation: 22/2=11, Resulting Numbers: [75, 11]
Generated Node #3: [75, 11] from Operation: 22/2=11
Current State: 64:[75, 11], Operations: ['73-71=2', '22/2=11']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
3,
93,
79,
6
] | 95 | [
"3+93=96",
"96/6=16",
"79+16=95"
] | Current State: 95:[3, 93, 79, 6], Operations: []
Exploring Operation: 3+93=96, Resulting Numbers: [79, 6, 96]
Generated Node #2: [79, 6, 96] from Operation: 3+93=96
Current State: 95:[79, 6, 96], Operations: ['3+93=96']
Exploring Operation: 96/6=16, Resulting Numbers: [79, 16]
Generated Node #3: [79, 16] from Operation: 96/6=16
Current State: 95:[79, 16], Operations: ['3+93=96', '96/6=16']
Exploring Operation: 79+16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
17,
32,
13,
12
] | 50 | [
"17+32=49",
"13-12=1",
"49+1=50"
] | Current State: 50:[17, 32, 13, 12], Operations: []
Exploring Operation: 17+32=49, Resulting Numbers: [13, 12, 49]
Generated Node #2: [13, 12, 49] from Operation: 17+32=49
Current State: 50:[13, 12, 49], Operations: ['17+32=49']
Exploring Operation: 13-12=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 13-12=1
Current State: 50:[49, 1], Operations: ['17+32=49', '13-12=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
40,
57,
33,
4
] | 80 | [
"40/4=10",
"57+33=90",
"90-10=80"
] | Current State: 80:[40, 57, 33, 4], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [57, 33, 10]
Generated Node #2: [57, 33, 10] from Operation: 40/4=10
Current State: 80:[57, 33, 10], Operations: ['40/4=10']
Exploring Operation: 57+33=90, Resulting Numbers: [10, 90]
Generated Node #3: [10, 90] from Operation: 57+33=90
Current State: 80:[10, 90], Operations: ['40/4=10', '57+33=90']
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
26,
66,
83,
74
] | 49 | [
"66-26=40",
"83-74=9",
"40+9=49"
] | Current State: 49:[26, 66, 83, 74], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [83, 74, 40]
Generated Node #2: [83, 74, 40] from Operation: 66-26=40
Current State: 49:[83, 74, 40], Operations: ['66-26=40']
Exploring Operation: 83-74=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 83-74=9
Current State: 49:[40, 9], Operations: ['66-26=40', '83-74=9']
Exploring Operation: 40+9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
34,
92,
3,
11
] | 98 | [
"34*11=374",
"92*3=276",
"374-276=98"
] | Current State: 98:[34, 92, 3, 11], Operations: []
Exploring Operation: 34*11=374, Resulting Numbers: [92, 3, 374]
Generated Node #2: [92, 3, 374] from Operation: 34*11=374
Current State: 98:[92, 3, 374], Operations: ['34*11=374']
Exploring Operation: 92*3=276, Resulting Numbers: [374, 276]
Generated Node #3: [374, 276] from Operation: 92*3=276
Current State: 98:[374, 276], Operations: ['34*11=374', '92*3=276']
Exploring Operation: 374-276=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
70,
27,
22,
88
] | 13 | [
"70+27=97",
"22+88=110",
"110-97=13"
] | Current State: 13:[70, 27, 22, 88], Operations: []
Exploring Operation: 70+27=97, Resulting Numbers: [22, 88, 97]
Generated Node #2: [22, 88, 97] from Operation: 70+27=97
Current State: 13:[22, 88, 97], Operations: ['70+27=97']
Exploring Operation: 22+88=110, Resulting Numbers: [97, 110]
Generated Node #3: [97, 110] from Operation: 22+88=110
Current State: 13:[97, 110], Operations: ['70+27=97', '22+88=110']
Exploring Operation: 110-97=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
4,
10,
5,
17
] | 58 | [
"17-5=12",
"4*12=48",
"10+48=58"
] | Current State: 58:[4, 10, 5, 17], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [4, 10, 12]
Generated Node #2: [4, 10, 12] from Operation: 17-5=12
Current State: 58:[4, 10, 12], Operations: ['17-5=12']
Exploring Operation: 4*12=48, Resulting Numbers: [10, 48]
Generated Node #3: [10, 48] from Operation: 4*12=48
Current State: 58:[10, 48], Operations: ['17-5=12', '4*12=48']
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
35,
80,
92,
97
] | 19 | [
"97-92=5",
"80/5=16",
"35-16=19"
] | Current State: 19:[35, 80, 92, 97], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [35, 80, 5]
Generated Node #2: [35, 80, 5] from Operation: 97-92=5
Current State: 19:[35, 80, 5], Operations: ['97-92=5']
Exploring Operation: 80/5=16, Resulting Numbers: [35, 16]
Generated Node #3: [35, 16] from Operation: 80/5=16
Current State: 19:[35, 16], Operations: ['97-92=5', '80/5=16']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
1,
82,
37
] | 71 | [
"25+1=26",
"82-37=45",
"26+45=71"
] | Current State: 71:[25, 1, 82, 37], Operations: []
Exploring Operation: 25+1=26, Resulting Numbers: [82, 37, 26]
Generated Node #2: [82, 37, 26] from Operation: 25+1=26
Current State: 71:[82, 37, 26], Operations: ['25+1=26']
Exploring Operation: 82-37=45, Resulting Numbers: [26, 45]
Generated Node #3: [26, 45] from Operation: 82-37=45
Current State: 71:[26, 45], Operations: ['25+1=26', '82-37=45']
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
10,
43,
8,
57
] | 26 | [
"10*43=430",
"8*57=456",
"456-430=26"
] | Current State: 26:[10, 43, 8, 57], Operations: []
Exploring Operation: 10*43=430, Resulting Numbers: [8, 57, 430]
Generated Node #2: [8, 57, 430] from Operation: 10*43=430
Current State: 26:[8, 57, 430], Operations: ['10*43=430']
Exploring Operation: 8*57=456, Resulting Numbers: [430, 456]
Generated Node #3: [430, 456] from Operation: 8*57=456
Current State: 26:[430, 456], Operations: ['10*43=430', '8*57=456']
Exploring Operation: 456-430=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
20,
31,
67,
28
] | 28 | [
"31-20=11",
"67-28=39",
"39-11=28"
] | Current State: 28:[20, 31, 67, 28], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [67, 28, 11]
Generated Node #2: [67, 28, 11] from Operation: 31-20=11
Current State: 28:[67, 28, 11], Operations: ['31-20=11']
Exploring Operation: 67-28=39, Resulting Numbers: [11, 39]
Generated Node #3: [11, 39] from Operation: 67-28=39
Current State: 28:[11, 39], Operations: ['31-20=11', '67-28=39']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
51,
17,
95,
52
] | 49 | [
"51/17=3",
"95+52=147",
"147/3=49"
] | Current State: 49:[51, 17, 95, 52], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [95, 52, 3]
Generated Node #2: [95, 52, 3] from Operation: 51/17=3
Current State: 49:[95, 52, 3], Operations: ['51/17=3']
Exploring Operation: 95+52=147, Resulting Numbers: [3, 147]
Generated Node #3: [3, 147] from Operation: 95+52=147
Current State: 49:[3, 147], Operations: ['51/17=3', '95+52=147']
Exploring Operation: 147/3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
12,
87,
4,
80
] | 36 | [
"87-4=83",
"83-80=3",
"12*3=36"
] | Current State: 36:[12, 87, 4, 80], Operations: []
Exploring Operation: 87-4=83, Resulting Numbers: [12, 80, 83]
Generated Node #2: [12, 80, 83] from Operation: 87-4=83
Current State: 36:[12, 80, 83], Operations: ['87-4=83']
Exploring Operation: 83-80=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 83-80=3
Current State: 36:[12, 3], Operations: ['87-4=83', '83-80=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
90,
1,
53,
58
] | 96 | [
"90+1=91",
"58-53=5",
"91+5=96"
] | Current State: 96:[90, 1, 53, 58], Operations: []
Exploring Operation: 90+1=91, Resulting Numbers: [53, 58, 91]
Generated Node #2: [53, 58, 91] from Operation: 90+1=91
Current State: 96:[53, 58, 91], Operations: ['90+1=91']
Exploring Operation: 58-53=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 58-53=5
Current State: 96:[91, 5], Operations: ['90+1=91', '58-53=5']
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
38,
99,
10,
45
] | 60 | [
"99*10=990",
"990/45=22",
"38+22=60"
] | Current State: 60:[38, 99, 10, 45], Operations: []
Exploring Operation: 99*10=990, Resulting Numbers: [38, 45, 990]
Generated Node #2: [38, 45, 990] from Operation: 99*10=990
Current State: 60:[38, 45, 990], Operations: ['99*10=990']
Exploring Operation: 990/45=22, Resulting Numbers: [38, 22]
Generated Node #3: [38, 22] from Operation: 990/45=22
Current State: 60:[38, 22], Operations: ['99*10=990', '990/45=22']
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
7,
95,
93,
81
] | 95 | [
"95-93=2",
"7*2=14",
"81+14=95"
] | Current State: 95:[7, 95, 93, 81], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [7, 81, 2]
Generated Node #2: [7, 81, 2] from Operation: 95-93=2
Current State: 95:[7, 81, 2], Operations: ['95-93=2']
Exploring Operation: 7*2=14, Resulting Numbers: [81, 14]
Generated Node #3: [81, 14] from Operation: 7*2=14
Current State: 95:[81, 14], Operations: ['95-93=2', '7*2=14']
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
66,
54,
93,
67
] | 38 | [
"66-54=12",
"93-67=26",
"12+26=38"
] | Current State: 38:[66, 54, 93, 67], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [93, 67, 12]
Generated Node #2: [93, 67, 12] from Operation: 66-54=12
Current State: 38:[93, 67, 12], Operations: ['66-54=12']
Exploring Operation: 93-67=26, Resulting Numbers: [12, 26]
Generated Node #3: [12, 26] from Operation: 93-67=26
Current State: 38:[12, 26], Operations: ['66-54=12', '93-67=26']
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
84,
80,
98,
32
] | 98 | [
"84+80=164",
"98-32=66",
"164-66=98"
] | Current State: 98:[84, 80, 98, 32], Operations: []
Exploring Operation: 84+80=164, Resulting Numbers: [98, 32, 164]
Generated Node #2: [98, 32, 164] from Operation: 84+80=164
Current State: 98:[98, 32, 164], Operations: ['84+80=164']
Exploring Operation: 98-32=66, Resulting Numbers: [164, 66]
Generated Node #3: [164, 66] from Operation: 98-32=66
Current State: 98:[164, 66], Operations: ['84+80=164', '98-32=66']
Exploring Operation: 164-66=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
98,
75,
6,
61
] | 78 | [
"98-75=23",
"61-6=55",
"23+55=78"
] | Current State: 78:[98, 75, 6, 61], Operations: []
Exploring Operation: 98-75=23, Resulting Numbers: [6, 61, 23]
Generated Node #2: [6, 61, 23] from Operation: 98-75=23
Current State: 78:[6, 61, 23], Operations: ['98-75=23']
Exploring Operation: 61-6=55, Resulting Numbers: [23, 55]
Generated Node #3: [23, 55] from Operation: 61-6=55
Current State: 78:[23, 55], Operations: ['98-75=23', '61-6=55']
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
12,
80,
14,
21
] | 98 | [
"12*21=252",
"252/14=18",
"80+18=98"
] | Current State: 98:[12, 80, 14, 21], Operations: []
Exploring Operation: 12*21=252, Resulting Numbers: [80, 14, 252]
Generated Node #2: [80, 14, 252] from Operation: 12*21=252
Current State: 98:[80, 14, 252], Operations: ['12*21=252']
Exploring Operation: 252/14=18, Resulting Numbers: [80, 18]
Generated Node #3: [80, 18] from Operation: 252/14=18
Current State: 98:[80, 18], Operations: ['12*21=252', '252/14=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
45,
15,
37,
71
] | 49 | [
"45-37=8",
"15*8=120",
"120-71=49"
] | Current State: 49:[45, 15, 37, 71], Operations: []
Exploring Operation: 45-37=8, Resulting Numbers: [15, 71, 8]
Generated Node #2: [15, 71, 8] from Operation: 45-37=8
Current State: 49:[15, 71, 8], Operations: ['45-37=8']
Exploring Operation: 15*8=120, Resulting Numbers: [71, 120]
Generated Node #3: [71, 120] from Operation: 15*8=120
Current State: 49:[71, 120], Operations: ['45-37=8', '15*8=120']
Exploring Operation: 120-71=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
93,
87,
46,
78
] | 33 | [
"93-87=6",
"78/6=13",
"46-13=33"
] | Current State: 33:[93, 87, 46, 78], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [46, 78, 6]
Generated Node #2: [46, 78, 6] from Operation: 93-87=6
Current State: 33:[46, 78, 6], Operations: ['93-87=6']
Exploring Operation: 78/6=13, Resulting Numbers: [46, 13]
Generated Node #3: [46, 13] from Operation: 78/6=13
Current State: 33:[46, 13], Operations: ['93-87=6', '78/6=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
13,
42,
7,
22
] | 27 | [
"13*7=91",
"42+22=64",
"91-64=27"
] | Current State: 27:[13, 42, 7, 22], Operations: []
Exploring Operation: 13*7=91, Resulting Numbers: [42, 22, 91]
Generated Node #2: [42, 22, 91] from Operation: 13*7=91
Current State: 27:[42, 22, 91], Operations: ['13*7=91']
Exploring Operation: 42+22=64, Resulting Numbers: [91, 64]
Generated Node #3: [91, 64] from Operation: 42+22=64
Current State: 27:[91, 64], Operations: ['13*7=91', '42+22=64']
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
2,
59,
93,
63
] | 13 | [
"59+93=152",
"152/2=76",
"76-63=13"
] | Current State: 13:[2, 59, 93, 63], Operations: []
Exploring Operation: 59+93=152, Resulting Numbers: [2, 63, 152]
Generated Node #2: [2, 63, 152] from Operation: 59+93=152
Current State: 13:[2, 63, 152], Operations: ['59+93=152']
Exploring Operation: 152/2=76, Resulting Numbers: [63, 76]
Generated Node #3: [63, 76] from Operation: 152/2=76
Current State: 13:[63, 76], Operations: ['59+93=152', '152/2=76']
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
99,
26,
14,
41
] | 70 | [
"99+26=125",
"14+41=55",
"125-55=70"
] | Current State: 70:[99, 26, 14, 41], Operations: []
Exploring Operation: 99+26=125, Resulting Numbers: [14, 41, 125]
Generated Node #2: [14, 41, 125] from Operation: 99+26=125
Current State: 70:[14, 41, 125], Operations: ['99+26=125']
Exploring Operation: 14+41=55, Resulting Numbers: [125, 55]
Generated Node #3: [125, 55] from Operation: 14+41=55
Current State: 70:[125, 55], Operations: ['99+26=125', '14+41=55']
Exploring Operation: 125-55=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
9,
3,
55
] | 100 | [
"15*9=135",
"135/3=45",
"55+45=100"
] | Current State: 100:[15, 9, 3, 55], Operations: []
Exploring Operation: 15*9=135, Resulting Numbers: [3, 55, 135]
Generated Node #2: [3, 55, 135] from Operation: 15*9=135
Current State: 100:[3, 55, 135], Operations: ['15*9=135']
Exploring Operation: 135/3=45, Resulting Numbers: [55, 45]
Generated Node #3: [55, 45] from Operation: 135/3=45
Current State: 100:[55, 45], Operations: ['15*9=135', '135/3=45']
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
14,
5,
28,
18
] | 80 | [
"14*5=70",
"28-18=10",
"70+10=80"
] | Current State: 80:[14, 5, 28, 18], Operations: []
Exploring Operation: 14*5=70, Resulting Numbers: [28, 18, 70]
Generated Node #2: [28, 18, 70] from Operation: 14*5=70
Current State: 80:[28, 18, 70], Operations: ['14*5=70']
Exploring Operation: 28-18=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 28-18=10
Current State: 80:[70, 10], Operations: ['14*5=70', '28-18=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
97,
52,
46
] | 31 | [
"89+97=186",
"52-46=6",
"186/6=31"
] | Current State: 31:[89, 97, 52, 46], Operations: []
Exploring Operation: 89+97=186, Resulting Numbers: [52, 46, 186]
Generated Node #2: [52, 46, 186] from Operation: 89+97=186
Current State: 31:[52, 46, 186], Operations: ['89+97=186']
Exploring Operation: 52-46=6, Resulting Numbers: [186, 6]
Generated Node #3: [186, 6] from Operation: 52-46=6
Current State: 31:[186, 6], Operations: ['89+97=186', '52-46=6']
Exploring Operation: 186/6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
94,
86,
2,
47
] | 37 | [
"94-86=8",
"47-2=45",
"45-8=37"
] | Current State: 37:[94, 86, 2, 47], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [2, 47, 8]
Generated Node #2: [2, 47, 8] from Operation: 94-86=8
Current State: 37:[2, 47, 8], Operations: ['94-86=8']
Exploring Operation: 47-2=45, Resulting Numbers: [8, 45]
Generated Node #3: [8, 45] from Operation: 47-2=45
Current State: 37:[8, 45], Operations: ['94-86=8', '47-2=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
98,
84,
10,
54
] | 86 | [
"98-84=14",
"10*14=140",
"140-54=86"
] | Current State: 86:[98, 84, 10, 54], Operations: []
Exploring Operation: 98-84=14, Resulting Numbers: [10, 54, 14]
Generated Node #2: [10, 54, 14] from Operation: 98-84=14
Current State: 86:[10, 54, 14], Operations: ['98-84=14']
Exploring Operation: 10*14=140, Resulting Numbers: [54, 140]
Generated Node #3: [54, 140] from Operation: 10*14=140
Current State: 86:[54, 140], Operations: ['98-84=14', '10*14=140']
Exploring Operation: 140-54=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
94,
82,
43,
6
] | 29 | [
"94-82=12",
"6*12=72",
"72-43=29"
] | Current State: 29:[94, 82, 43, 6], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [43, 6, 12]
Generated Node #2: [43, 6, 12] from Operation: 94-82=12
Current State: 29:[43, 6, 12], Operations: ['94-82=12']
Exploring Operation: 6*12=72, Resulting Numbers: [43, 72]
Generated Node #3: [43, 72] from Operation: 6*12=72
Current State: 29:[43, 72], Operations: ['94-82=12', '6*12=72']
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
16,
39,
39,
5
] | 79 | [
"16*5=80",
"39/39=1",
"80-1=79"
] | Current State: 79:[16, 39, 39, 5], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [39, 39, 80]
Generated Node #2: [39, 39, 80] from Operation: 16*5=80
Current State: 79:[39, 39, 80], Operations: ['16*5=80']
Exploring Operation: 39/39=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 39/39=1
Current State: 79:[80, 1], Operations: ['16*5=80', '39/39=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
16,
95,
78,
34
] | 35 | [
"95-16=79",
"78-34=44",
"79-44=35"
] | Current State: 35:[16, 95, 78, 34], Operations: []
Exploring Operation: 95-16=79, Resulting Numbers: [78, 34, 79]
Generated Node #2: [78, 34, 79] from Operation: 95-16=79
Current State: 35:[78, 34, 79], Operations: ['95-16=79']
Exploring Operation: 78-34=44, Resulting Numbers: [79, 44]
Generated Node #3: [79, 44] from Operation: 78-34=44
Current State: 35:[79, 44], Operations: ['95-16=79', '78-34=44']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
79,
72,
4
] | 28 | [
"25+79=104",
"72+4=76",
"104-76=28"
] | Current State: 28:[25, 79, 72, 4], Operations: []
Exploring Operation: 25+79=104, Resulting Numbers: [72, 4, 104]
Generated Node #2: [72, 4, 104] from Operation: 25+79=104
Current State: 28:[72, 4, 104], Operations: ['25+79=104']
Exploring Operation: 72+4=76, Resulting Numbers: [104, 76]
Generated Node #3: [104, 76] from Operation: 72+4=76
Current State: 28:[104, 76], Operations: ['25+79=104', '72+4=76']
Exploring Operation: 104-76=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
35,
32,
6,
46
] | 27 | [
"35+32=67",
"46-6=40",
"67-40=27"
] | Current State: 27:[35, 32, 6, 46], Operations: []
Exploring Operation: 35+32=67, Resulting Numbers: [6, 46, 67]
Generated Node #2: [6, 46, 67] from Operation: 35+32=67
Current State: 27:[6, 46, 67], Operations: ['35+32=67']
Exploring Operation: 46-6=40, Resulting Numbers: [67, 40]
Generated Node #3: [67, 40] from Operation: 46-6=40
Current State: 27:[67, 40], Operations: ['35+32=67', '46-6=40']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
31,
32,
40,
14
] | 81 | [
"40-32=8",
"14*8=112",
"112-31=81"
] | Current State: 81:[31, 32, 40, 14], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [31, 14, 8]
Generated Node #2: [31, 14, 8] from Operation: 40-32=8
Current State: 81:[31, 14, 8], Operations: ['40-32=8']
Exploring Operation: 14*8=112, Resulting Numbers: [31, 112]
Generated Node #3: [31, 112] from Operation: 14*8=112
Current State: 81:[31, 112], Operations: ['40-32=8', '14*8=112']
Exploring Operation: 112-31=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
33,
24,
19,
13
] | 29 | [
"19-13=6",
"24/6=4",
"33-4=29"
] | Current State: 29:[33, 24, 19, 13], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [33, 24, 6]
Generated Node #2: [33, 24, 6] from Operation: 19-13=6
Current State: 29:[33, 24, 6], Operations: ['19-13=6']
Exploring Operation: 24/6=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 24/6=4
Current State: 29:[33, 4], Operations: ['19-13=6', '24/6=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
14,
56,
84,
53
] | 27 | [
"56/14=4",
"84-53=31",
"31-4=27"
] | Current State: 27:[14, 56, 84, 53], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [84, 53, 4]
Generated Node #2: [84, 53, 4] from Operation: 56/14=4
Current State: 27:[84, 53, 4], Operations: ['56/14=4']
Exploring Operation: 84-53=31, Resulting Numbers: [4, 31]
Generated Node #3: [4, 31] from Operation: 84-53=31
Current State: 27:[4, 31], Operations: ['56/14=4', '84-53=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
44,
99,
5,
86
] | 62 | [
"44+99=143",
"86-5=81",
"143-81=62"
] | Current State: 62:[44, 99, 5, 86], Operations: []
Exploring Operation: 44+99=143, Resulting Numbers: [5, 86, 143]
Generated Node #2: [5, 86, 143] from Operation: 44+99=143
Current State: 62:[5, 86, 143], Operations: ['44+99=143']
Exploring Operation: 86-5=81, Resulting Numbers: [143, 81]
Generated Node #3: [143, 81] from Operation: 86-5=81
Current State: 62:[143, 81], Operations: ['44+99=143', '86-5=81']
Exploring Operation: 143-81=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
46,
17,
5,
39
] | 50 | [
"46-17=29",
"39-29=10",
"5*10=50"
] | Current State: 50:[46, 17, 5, 39], Operations: []
Exploring Operation: 46-17=29, Resulting Numbers: [5, 39, 29]
Generated Node #2: [5, 39, 29] from Operation: 46-17=29
Current State: 50:[5, 39, 29], Operations: ['46-17=29']
Exploring Operation: 39-29=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 39-29=10
Current State: 50:[5, 10], Operations: ['46-17=29', '39-29=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
12,
22,
20,
28
] | 48 | [
"20-12=8",
"28-22=6",
"8*6=48"
] | Current State: 48:[12, 22, 20, 28], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [22, 28, 8]
Generated Node #2: [22, 28, 8] from Operation: 20-12=8
Current State: 48:[22, 28, 8], Operations: ['20-12=8']
Exploring Operation: 28-22=6, Resulting Numbers: [8, 6]
Generated Node #3: [8, 6] from Operation: 28-22=6
Current State: 48:[8, 6], Operations: ['20-12=8', '28-22=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
46,
65,
15,
2
] | 12 | [
"46*2=92",
"65+15=80",
"92-80=12"
] | Current State: 12:[46, 65, 15, 2], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [65, 15, 92]
Generated Node #2: [65, 15, 92] from Operation: 46*2=92
Current State: 12:[65, 15, 92], Operations: ['46*2=92']
Exploring Operation: 65+15=80, Resulting Numbers: [92, 80]
Generated Node #3: [92, 80] from Operation: 65+15=80
Current State: 12:[92, 80], Operations: ['46*2=92', '65+15=80']
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
82,
19,
1
] | 32 | [
"82-32=50",
"19-1=18",
"50-18=32"
] | Current State: 32:[32, 82, 19, 1], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [19, 1, 50]
Generated Node #2: [19, 1, 50] from Operation: 82-32=50
Current State: 32:[19, 1, 50], Operations: ['82-32=50']
Exploring Operation: 19-1=18, Resulting Numbers: [50, 18]
Generated Node #3: [50, 18] from Operation: 19-1=18
Current State: 32:[50, 18], Operations: ['82-32=50', '19-1=18']
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
6,
51,
54,
44
] | 12 | [
"51-44=7",
"6*7=42",
"54-42=12"
] | Current State: 12:[6, 51, 54, 44], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [6, 54, 7]
Generated Node #2: [6, 54, 7] from Operation: 51-44=7
Current State: 12:[6, 54, 7], Operations: ['51-44=7']
Exploring Operation: 6*7=42, Resulting Numbers: [54, 42]
Generated Node #3: [54, 42] from Operation: 6*7=42
Current State: 12:[54, 42], Operations: ['51-44=7', '6*7=42']
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
95,
80,
17,
50
] | 82 | [
"95-80=15",
"17+50=67",
"15+67=82"
] | Current State: 82:[95, 80, 17, 50], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [17, 50, 15]
Generated Node #2: [17, 50, 15] from Operation: 95-80=15
Current State: 82:[17, 50, 15], Operations: ['95-80=15']
Exploring Operation: 17+50=67, Resulting Numbers: [15, 67]
Generated Node #3: [15, 67] from Operation: 17+50=67
Current State: 82:[15, 67], Operations: ['95-80=15', '17+50=67']
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
10,
11,
85,
3
] | 62 | [
"10+85=95",
"11*3=33",
"95-33=62"
] | Current State: 62:[10, 11, 85, 3], Operations: []
Exploring Operation: 10+85=95, Resulting Numbers: [11, 3, 95]
Generated Node #2: [11, 3, 95] from Operation: 10+85=95
Current State: 62:[11, 3, 95], Operations: ['10+85=95']
Exploring Operation: 11*3=33, Resulting Numbers: [95, 33]
Generated Node #3: [95, 33] from Operation: 11*3=33
Current State: 62:[95, 33], Operations: ['10+85=95', '11*3=33']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
56,
77,
98,
96
] | 76 | [
"77*96=7392",
"56+7392=7448",
"7448/98=76"
] | Current State: 76:[56, 77, 98, 96], Operations: []
Exploring Operation: 77*96=7392, Resulting Numbers: [56, 98, 7392]
Generated Node #2: [56, 98, 7392] from Operation: 77*96=7392
Current State: 76:[56, 98, 7392], Operations: ['77*96=7392']
Exploring Operation: 56+7392=7448, Resulting Numbers: [98, 7448]
Generated Node #3: [98, 7448] from Operation: 56+7392=7448
Current State: 76:[98, 7448], Operations: ['77*96=7392', '56+7392=7448']
Exploring Operation: 7448/98=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
75,
39,
68,
65
] | 57 | [
"75*65=4875",
"4875/39=125",
"125-68=57"
] | Current State: 57:[75, 39, 68, 65], Operations: []
Exploring Operation: 75*65=4875, Resulting Numbers: [39, 68, 4875]
Generated Node #2: [39, 68, 4875] from Operation: 75*65=4875
Current State: 57:[39, 68, 4875], Operations: ['75*65=4875']
Exploring Operation: 4875/39=125, Resulting Numbers: [68, 125]
Generated Node #3: [68, 125] from Operation: 4875/39=125
Current State: 57:[68, 125], Operations: ['75*65=4875', '4875/39=125']
Exploring Operation: 125-68=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
70,
30,
28,
48
] | 26 | [
"30-28=2",
"48*2=96",
"96-70=26"
] | Current State: 26:[70, 30, 28, 48], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [70, 48, 2]
Generated Node #2: [70, 48, 2] from Operation: 30-28=2
Current State: 26:[70, 48, 2], Operations: ['30-28=2']
Exploring Operation: 48*2=96, Resulting Numbers: [70, 96]
Generated Node #3: [70, 96] from Operation: 48*2=96
Current State: 26:[70, 96], Operations: ['30-28=2', '48*2=96']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
37,
66,
9
] | 43 | [
"8*9=72",
"66-37=29",
"72-29=43"
] | Current State: 43:[8, 37, 66, 9], Operations: []
Exploring Operation: 8*9=72, Resulting Numbers: [37, 66, 72]
Generated Node #2: [37, 66, 72] from Operation: 8*9=72
Current State: 43:[37, 66, 72], Operations: ['8*9=72']
Exploring Operation: 66-37=29, Resulting Numbers: [72, 29]
Generated Node #3: [72, 29] from Operation: 66-37=29
Current State: 43:[72, 29], Operations: ['8*9=72', '66-37=29']
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
60,
4,
20,
79
] | 78 | [
"60/20=3",
"79-4=75",
"3+75=78"
] | Current State: 78:[60, 4, 20, 79], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [4, 79, 3]
Generated Node #2: [4, 79, 3] from Operation: 60/20=3
Current State: 78:[4, 79, 3], Operations: ['60/20=3']
Exploring Operation: 79-4=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 79-4=75
Current State: 78:[3, 75], Operations: ['60/20=3', '79-4=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.