Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 90, 10, 33, 16 ]
58
[ "90/10=9", "33+16=49", "9+49=58" ]
Current State: 58:[90, 10, 33, 16], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [33, 16, 9] Generated Node #2: [33, 16, 9] from Operation: 90/10=9 Current State: 58:[33, 16, 9], Operations: ['90/10=9'] Exploring Operation: 33+16=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 33+16=49 Current State: 58:[9, 49], Operations: ['90/10=9', '33+16=49'] Exploring Operation: 9+49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 77, 67, 74, 77 ]
74
[ "77-77=0", "67*0=0", "74+0=74" ]
Current State: 74:[77, 67, 74, 77], Operations: [] Exploring Operation: 77-77=0, Resulting Numbers: [67, 74, 0] Generated Node #2: [67, 74, 0] from Operation: 77-77=0 Current State: 74:[67, 74, 0], Operations: ['77-77=0'] Exploring Operation: 67*0=0, Resulting Numbers: [74, 0] Generated Node #3: [74, 0] from Operation: 67*0=0 Current State: 74:[74, 0], Operations: ['77-77=0', '67*0=0'] Exploring Operation: 74+0=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 99, 77, 14, 97 ]
89
[ "99-77=22", "14+97=111", "111-22=89" ]
Current State: 89:[99, 77, 14, 97], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [14, 97, 22] Generated Node #2: [14, 97, 22] from Operation: 99-77=22 Current State: 89:[14, 97, 22], Operations: ['99-77=22'] Exploring Operation: 14+97=111, Resulting Numbers: [22, 111] Generated Node #3: [22, 111] from Operation: 14+97=111 Current State: 89:[22, 111], Operations: ['99-77=22', '14+97=111'] Exploring Operation: 111-22=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 93, 93, 97, 62 ]
62
[ "93-93=0", "97*0=0", "62+0=62" ]
Current State: 62:[93, 93, 97, 62], Operations: [] Exploring Operation: 93-93=0, Resulting Numbers: [97, 62, 0] Generated Node #2: [97, 62, 0] from Operation: 93-93=0 Current State: 62:[97, 62, 0], Operations: ['93-93=0'] Exploring Operation: 97*0=0, Resulting Numbers: [62, 0] Generated Node #3: [62, 0] from Operation: 97*0=0 Current State: 62:[62, 0], Operations: ['93-93=0', '97*0=0'] Exploring Operation: 62+0=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 45, 15, 76 ]
17
[ "45-1=44", "76-15=61", "61-44=17" ]
Current State: 17:[1, 45, 15, 76], Operations: [] Exploring Operation: 45-1=44, Resulting Numbers: [15, 76, 44] Generated Node #2: [15, 76, 44] from Operation: 45-1=44 Current State: 17:[15, 76, 44], Operations: ['45-1=44'] Exploring Operation: 76-15=61, Resulting Numbers: [44, 61] Generated Node #3: [44, 61] from Operation: 76-15=61 Current State: 17:[44, 61], Operations: ['45-1=44', '76-15=61'] Exploring Operation: 61-44=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 1, 32, 36 ]
48
[ "20*1=20", "32+36=68", "68-20=48" ]
Current State: 48:[20, 1, 32, 36], Operations: [] Exploring Operation: 20*1=20, Resulting Numbers: [32, 36, 20] Generated Node #2: [32, 36, 20] from Operation: 20*1=20 Current State: 48:[32, 36, 20], Operations: ['20*1=20'] Exploring Operation: 32+36=68, Resulting Numbers: [20, 68] Generated Node #3: [20, 68] from Operation: 32+36=68 Current State: 48:[20, 68], Operations: ['20*1=20', '32+36=68'] Exploring Operation: 68-20=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 70, 77, 16, 17 ]
42
[ "70*17=1190", "77*16=1232", "1232-1190=42" ]
Current State: 42:[70, 77, 16, 17], Operations: [] Exploring Operation: 70*17=1190, Resulting Numbers: [77, 16, 1190] Generated Node #2: [77, 16, 1190] from Operation: 70*17=1190 Current State: 42:[77, 16, 1190], Operations: ['70*17=1190'] Exploring Operation: 77*16=1232, Resulting Numbers: [1190, 1232] Generated Node #3: [1190, 1232] from Operation: 77*16=1232 Current State: 42:[1190, 1232], Operations: ['70*17=1190', '77*16=1232'] Exploring Operation: 1232-1190=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 76, 3, 38, 99 ]
45
[ "76+38=114", "114-99=15", "3*15=45" ]
Current State: 45:[76, 3, 38, 99], Operations: [] Exploring Operation: 76+38=114, Resulting Numbers: [3, 99, 114] Generated Node #2: [3, 99, 114] from Operation: 76+38=114 Current State: 45:[3, 99, 114], Operations: ['76+38=114'] Exploring Operation: 114-99=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 114-99=15 Current State: 45:[3, 15], Operations: ['76+38=114', '114-99=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 44, 22, 4, 51 ]
19
[ "44+22=66", "51-4=47", "66-47=19" ]
Current State: 19:[44, 22, 4, 51], Operations: [] Exploring Operation: 44+22=66, Resulting Numbers: [4, 51, 66] Generated Node #2: [4, 51, 66] from Operation: 44+22=66 Current State: 19:[4, 51, 66], Operations: ['44+22=66'] Exploring Operation: 51-4=47, Resulting Numbers: [66, 47] Generated Node #3: [66, 47] from Operation: 51-4=47 Current State: 19:[66, 47], Operations: ['44+22=66', '51-4=47'] Exploring Operation: 66-47=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 70, 79, 74, 55 ]
81
[ "79-74=5", "55/5=11", "70+11=81" ]
Current State: 81:[70, 79, 74, 55], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [70, 55, 5] Generated Node #2: [70, 55, 5] from Operation: 79-74=5 Current State: 81:[70, 55, 5], Operations: ['79-74=5'] Exploring Operation: 55/5=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 55/5=11 Current State: 81:[70, 11], Operations: ['79-74=5', '55/5=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 28, 2, 88, 78 ]
69
[ "88-28=60", "78+60=138", "138/2=69" ]
Current State: 69:[28, 2, 88, 78], Operations: [] Exploring Operation: 88-28=60, Resulting Numbers: [2, 78, 60] Generated Node #2: [2, 78, 60] from Operation: 88-28=60 Current State: 69:[2, 78, 60], Operations: ['88-28=60'] Exploring Operation: 78+60=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 78+60=138 Current State: 69:[2, 138], Operations: ['88-28=60', '78+60=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 40, 14, 18, 99 ]
96
[ "40+14=54", "54/18=3", "99-3=96" ]
Current State: 96:[40, 14, 18, 99], Operations: [] Exploring Operation: 40+14=54, Resulting Numbers: [18, 99, 54] Generated Node #2: [18, 99, 54] from Operation: 40+14=54 Current State: 96:[18, 99, 54], Operations: ['40+14=54'] Exploring Operation: 54/18=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 54/18=3 Current State: 96:[99, 3], Operations: ['40+14=54', '54/18=3'] Exploring Operation: 99-3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 28, 50, 8, 30 ]
34
[ "30-28=2", "8*2=16", "50-16=34" ]
Current State: 34:[28, 50, 8, 30], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [50, 8, 2] Generated Node #2: [50, 8, 2] from Operation: 30-28=2 Current State: 34:[50, 8, 2], Operations: ['30-28=2'] Exploring Operation: 8*2=16, Resulting Numbers: [50, 16] Generated Node #3: [50, 16] from Operation: 8*2=16 Current State: 34:[50, 16], Operations: ['30-28=2', '8*2=16'] Exploring Operation: 50-16=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 46, 14, 60, 39 ]
40
[ "46+14=60", "60/60=1", "39+1=40" ]
Current State: 40:[46, 14, 60, 39], Operations: [] Exploring Operation: 46+14=60, Resulting Numbers: [60, 39, 60] Generated Node #2: [60, 39, 60] from Operation: 46+14=60 Current State: 40:[60, 39, 60], Operations: ['46+14=60'] Exploring Operation: 60/60=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 60/60=1 Current State: 40:[39, 1], Operations: ['46+14=60', '60/60=1'] Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 52, 9, 12, 3 ]
58
[ "52-9=43", "12+3=15", "43+15=58" ]
Current State: 58:[52, 9, 12, 3], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [12, 3, 43] Generated Node #2: [12, 3, 43] from Operation: 52-9=43 Current State: 58:[12, 3, 43], Operations: ['52-9=43'] Exploring Operation: 12+3=15, Resulting Numbers: [43, 15] Generated Node #3: [43, 15] from Operation: 12+3=15 Current State: 58:[43, 15], Operations: ['52-9=43', '12+3=15'] Exploring Operation: 43+15=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 9, 68, 17, 32 ]
17
[ "17-9=8", "68*8=544", "544/32=17" ]
Current State: 17:[9, 68, 17, 32], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [68, 32, 8] Generated Node #2: [68, 32, 8] from Operation: 17-9=8 Current State: 17:[68, 32, 8], Operations: ['17-9=8'] Exploring Operation: 68*8=544, Resulting Numbers: [32, 544] Generated Node #3: [32, 544] from Operation: 68*8=544 Current State: 17:[32, 544], Operations: ['17-9=8', '68*8=544'] Exploring Operation: 544/32=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 45, 2, 29, 64 ]
56
[ "45-29=16", "16/2=8", "64-8=56" ]
Current State: 56:[45, 2, 29, 64], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [2, 64, 16] Generated Node #2: [2, 64, 16] from Operation: 45-29=16 Current State: 56:[2, 64, 16], Operations: ['45-29=16'] Exploring Operation: 16/2=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 16/2=8 Current State: 56:[64, 8], Operations: ['45-29=16', '16/2=8'] Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 31, 78, 26 ]
52
[ "24+31=55", "78/26=3", "55-3=52" ]
Current State: 52:[24, 31, 78, 26], Operations: [] Exploring Operation: 24+31=55, Resulting Numbers: [78, 26, 55] Generated Node #2: [78, 26, 55] from Operation: 24+31=55 Current State: 52:[78, 26, 55], Operations: ['24+31=55'] Exploring Operation: 78/26=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 78/26=3 Current State: 52:[55, 3], Operations: ['24+31=55', '78/26=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 4, 27, 30, 44 ]
44
[ "4+27=31", "31-30=1", "44*1=44" ]
Current State: 44:[4, 27, 30, 44], Operations: [] Exploring Operation: 4+27=31, Resulting Numbers: [30, 44, 31] Generated Node #2: [30, 44, 31] from Operation: 4+27=31 Current State: 44:[30, 44, 31], Operations: ['4+27=31'] Exploring Operation: 31-30=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 31-30=1 Current State: 44:[44, 1], Operations: ['4+27=31', '31-30=1'] Exploring Operation: 44*1=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 41, 10, 63, 51 ]
19
[ "41-10=31", "63-51=12", "31-12=19" ]
Current State: 19:[41, 10, 63, 51], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [63, 51, 31] Generated Node #2: [63, 51, 31] from Operation: 41-10=31 Current State: 19:[63, 51, 31], Operations: ['41-10=31'] Exploring Operation: 63-51=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] from Operation: 63-51=12 Current State: 19:[31, 12], Operations: ['41-10=31', '63-51=12'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 92, 2, 24 ]
52
[ "92+24=116", "116/2=58", "58-6=52" ]
Current State: 52:[6, 92, 2, 24], Operations: [] Exploring Operation: 92+24=116, Resulting Numbers: [6, 2, 116] Generated Node #2: [6, 2, 116] from Operation: 92+24=116 Current State: 52:[6, 2, 116], Operations: ['92+24=116'] Exploring Operation: 116/2=58, Resulting Numbers: [6, 58] Generated Node #3: [6, 58] from Operation: 116/2=58 Current State: 52:[6, 58], Operations: ['92+24=116', '116/2=58'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 10, 47, 54 ]
23
[ "6+10=16", "54-47=7", "16+7=23" ]
Current State: 23:[6, 10, 47, 54], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [47, 54, 16] Generated Node #2: [47, 54, 16] from Operation: 6+10=16 Current State: 23:[47, 54, 16], Operations: ['6+10=16'] Exploring Operation: 54-47=7, Resulting Numbers: [16, 7] Generated Node #3: [16, 7] from Operation: 54-47=7 Current State: 23:[16, 7], Operations: ['6+10=16', '54-47=7'] Exploring Operation: 16+7=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 33, 72, 68, 92 ]
81
[ "33+72=105", "92-68=24", "105-24=81" ]
Current State: 81:[33, 72, 68, 92], Operations: [] Exploring Operation: 33+72=105, Resulting Numbers: [68, 92, 105] Generated Node #2: [68, 92, 105] from Operation: 33+72=105 Current State: 81:[68, 92, 105], Operations: ['33+72=105'] Exploring Operation: 92-68=24, Resulting Numbers: [105, 24] Generated Node #3: [105, 24] from Operation: 92-68=24 Current State: 81:[105, 24], Operations: ['33+72=105', '92-68=24'] Exploring Operation: 105-24=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 85, 97, 57, 80 ]
35
[ "97-85=12", "80-57=23", "12+23=35" ]
Current State: 35:[85, 97, 57, 80], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [57, 80, 12] Generated Node #2: [57, 80, 12] from Operation: 97-85=12 Current State: 35:[57, 80, 12], Operations: ['97-85=12'] Exploring Operation: 80-57=23, Resulting Numbers: [12, 23] Generated Node #3: [12, 23] from Operation: 80-57=23 Current State: 35:[12, 23], Operations: ['97-85=12', '80-57=23'] Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 13, 78, 2, 5 ]
84
[ "13+78=91", "2+5=7", "91-7=84" ]
Current State: 84:[13, 78, 2, 5], Operations: [] Exploring Operation: 13+78=91, Resulting Numbers: [2, 5, 91] Generated Node #2: [2, 5, 91] from Operation: 13+78=91 Current State: 84:[2, 5, 91], Operations: ['13+78=91'] Exploring Operation: 2+5=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 2+5=7 Current State: 84:[91, 7], Operations: ['13+78=91', '2+5=7'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 43, 75, 46, 36 ]
13
[ "46-43=3", "75-36=39", "39/3=13" ]
Current State: 13:[43, 75, 46, 36], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [75, 36, 3] Generated Node #2: [75, 36, 3] from Operation: 46-43=3 Current State: 13:[75, 36, 3], Operations: ['46-43=3'] Exploring Operation: 75-36=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 75-36=39 Current State: 13:[3, 39], Operations: ['46-43=3', '75-36=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 33, 81, 79, 19 ]
54
[ "33+81=114", "79-19=60", "114-60=54" ]
Current State: 54:[33, 81, 79, 19], Operations: [] Exploring Operation: 33+81=114, Resulting Numbers: [79, 19, 114] Generated Node #2: [79, 19, 114] from Operation: 33+81=114 Current State: 54:[79, 19, 114], Operations: ['33+81=114'] Exploring Operation: 79-19=60, Resulting Numbers: [114, 60] Generated Node #3: [114, 60] from Operation: 79-19=60 Current State: 54:[114, 60], Operations: ['33+81=114', '79-19=60'] Exploring Operation: 114-60=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 16, 39, 65 ]
86
[ "7*16=112", "65-39=26", "112-26=86" ]
Current State: 86:[7, 16, 39, 65], Operations: [] Exploring Operation: 7*16=112, Resulting Numbers: [39, 65, 112] Generated Node #2: [39, 65, 112] from Operation: 7*16=112 Current State: 86:[39, 65, 112], Operations: ['7*16=112'] Exploring Operation: 65-39=26, Resulting Numbers: [112, 26] Generated Node #3: [112, 26] from Operation: 65-39=26 Current State: 86:[112, 26], Operations: ['7*16=112', '65-39=26'] Exploring Operation: 112-26=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 83, 36, 97 ]
66
[ "83+97=180", "180/36=5", "61+5=66" ]
Current State: 66:[61, 83, 36, 97], Operations: [] Exploring Operation: 83+97=180, Resulting Numbers: [61, 36, 180] Generated Node #2: [61, 36, 180] from Operation: 83+97=180 Current State: 66:[61, 36, 180], Operations: ['83+97=180'] Exploring Operation: 180/36=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 180/36=5 Current State: 66:[61, 5], Operations: ['83+97=180', '180/36=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 60, 58, 19, 8 ]
76
[ "60-58=2", "19*8=152", "152/2=76" ]
Current State: 76:[60, 58, 19, 8], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [19, 8, 2] Generated Node #2: [19, 8, 2] from Operation: 60-58=2 Current State: 76:[19, 8, 2], Operations: ['60-58=2'] Exploring Operation: 19*8=152, Resulting Numbers: [2, 152] Generated Node #3: [2, 152] from Operation: 19*8=152 Current State: 76:[2, 152], Operations: ['60-58=2', '19*8=152'] Exploring Operation: 152/2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 94, 19, 32, 61 ]
84
[ "94+19=113", "61-32=29", "113-29=84" ]
Current State: 84:[94, 19, 32, 61], Operations: [] Exploring Operation: 94+19=113, Resulting Numbers: [32, 61, 113] Generated Node #2: [32, 61, 113] from Operation: 94+19=113 Current State: 84:[32, 61, 113], Operations: ['94+19=113'] Exploring Operation: 61-32=29, Resulting Numbers: [113, 29] Generated Node #3: [113, 29] from Operation: 61-32=29 Current State: 84:[113, 29], Operations: ['94+19=113', '61-32=29'] Exploring Operation: 113-29=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 82, 64, 66 ]
56
[ "66-64=2", "82/2=41", "97-41=56" ]
Current State: 56:[97, 82, 64, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [97, 82, 2] Generated Node #2: [97, 82, 2] from Operation: 66-64=2 Current State: 56:[97, 82, 2], Operations: ['66-64=2'] Exploring Operation: 82/2=41, Resulting Numbers: [97, 41] Generated Node #3: [97, 41] from Operation: 82/2=41 Current State: 56:[97, 41], Operations: ['66-64=2', '82/2=41'] Exploring Operation: 97-41=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 54, 17, 3 ]
75
[ "54-46=8", "17+8=25", "3*25=75" ]
Current State: 75:[46, 54, 17, 3], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [17, 3, 8] Generated Node #2: [17, 3, 8] from Operation: 54-46=8 Current State: 75:[17, 3, 8], Operations: ['54-46=8'] Exploring Operation: 17+8=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 17+8=25 Current State: 75:[3, 25], Operations: ['54-46=8', '17+8=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 30, 28, 29, 65 ]
96
[ "30-28=2", "29+65=94", "2+94=96" ]
Current State: 96:[30, 28, 29, 65], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [29, 65, 2] Generated Node #2: [29, 65, 2] from Operation: 30-28=2 Current State: 96:[29, 65, 2], Operations: ['30-28=2'] Exploring Operation: 29+65=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 29+65=94 Current State: 96:[2, 94], Operations: ['30-28=2', '29+65=94'] Exploring Operation: 2+94=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 32, 58, 64, 34 ]
63
[ "32*58=1856", "1856/64=29", "34+29=63" ]
Current State: 63:[32, 58, 64, 34], Operations: [] Exploring Operation: 32*58=1856, Resulting Numbers: [64, 34, 1856] Generated Node #2: [64, 34, 1856] from Operation: 32*58=1856 Current State: 63:[64, 34, 1856], Operations: ['32*58=1856'] Exploring Operation: 1856/64=29, Resulting Numbers: [34, 29] Generated Node #3: [34, 29] from Operation: 1856/64=29 Current State: 63:[34, 29], Operations: ['32*58=1856', '1856/64=29'] Exploring Operation: 34+29=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 34, 71, 15, 65 ]
60
[ "71+65=136", "136/34=4", "15*4=60" ]
Current State: 60:[34, 71, 15, 65], Operations: [] Exploring Operation: 71+65=136, Resulting Numbers: [34, 15, 136] Generated Node #2: [34, 15, 136] from Operation: 71+65=136 Current State: 60:[34, 15, 136], Operations: ['71+65=136'] Exploring Operation: 136/34=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 136/34=4 Current State: 60:[15, 4], Operations: ['71+65=136', '136/34=4'] Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 39, 9, 63, 2 ]
57
[ "63-39=24", "2*24=48", "9+48=57" ]
Current State: 57:[39, 9, 63, 2], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [9, 2, 24] Generated Node #2: [9, 2, 24] from Operation: 63-39=24 Current State: 57:[9, 2, 24], Operations: ['63-39=24'] Exploring Operation: 2*24=48, Resulting Numbers: [9, 48] Generated Node #3: [9, 48] from Operation: 2*24=48 Current State: 57:[9, 48], Operations: ['63-39=24', '2*24=48'] Exploring Operation: 9+48=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 82, 44, 22, 89 ]
15
[ "82+44=126", "22+89=111", "126-111=15" ]
Current State: 15:[82, 44, 22, 89], Operations: [] Exploring Operation: 82+44=126, Resulting Numbers: [22, 89, 126] Generated Node #2: [22, 89, 126] from Operation: 82+44=126 Current State: 15:[22, 89, 126], Operations: ['82+44=126'] Exploring Operation: 22+89=111, Resulting Numbers: [126, 111] Generated Node #3: [126, 111] from Operation: 22+89=111 Current State: 15:[126, 111], Operations: ['82+44=126', '22+89=111'] Exploring Operation: 126-111=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 30, 91, 60 ]
93
[ "60-30=30", "30/15=2", "91+2=93" ]
Current State: 93:[15, 30, 91, 60], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [15, 91, 30] Generated Node #2: [15, 91, 30] from Operation: 60-30=30 Current State: 93:[15, 91, 30], Operations: ['60-30=30'] Exploring Operation: 30/15=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 30/15=2 Current State: 93:[91, 2], Operations: ['60-30=30', '30/15=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 9, 13, 23, 3 ]
12
[ "9/3=3", "13+23=36", "36/3=12" ]
Current State: 12:[9, 13, 23, 3], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [13, 23, 3] Generated Node #2: [13, 23, 3] from Operation: 9/3=3 Current State: 12:[13, 23, 3], Operations: ['9/3=3'] Exploring Operation: 13+23=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 13+23=36 Current State: 12:[3, 36], Operations: ['9/3=3', '13+23=36'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 25, 41, 61, 18 ]
95
[ "41-25=16", "61+18=79", "16+79=95" ]
Current State: 95:[25, 41, 61, 18], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [61, 18, 16] Generated Node #2: [61, 18, 16] from Operation: 41-25=16 Current State: 95:[61, 18, 16], Operations: ['41-25=16'] Exploring Operation: 61+18=79, Resulting Numbers: [16, 79] Generated Node #3: [16, 79] from Operation: 61+18=79 Current State: 95:[16, 79], Operations: ['41-25=16', '61+18=79'] Exploring Operation: 16+79=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 43, 21, 95 ]
92
[ "43-36=7", "21/7=3", "95-3=92" ]
Current State: 92:[36, 43, 21, 95], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [21, 95, 7] Generated Node #2: [21, 95, 7] from Operation: 43-36=7 Current State: 92:[21, 95, 7], Operations: ['43-36=7'] Exploring Operation: 21/7=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 21/7=3 Current State: 92:[95, 3], Operations: ['43-36=7', '21/7=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 44, 3, 76 ]
35
[ "73-44=29", "76+29=105", "105/3=35" ]
Current State: 35:[73, 44, 3, 76], Operations: [] Exploring Operation: 73-44=29, Resulting Numbers: [3, 76, 29] Generated Node #2: [3, 76, 29] from Operation: 73-44=29 Current State: 35:[3, 76, 29], Operations: ['73-44=29'] Exploring Operation: 76+29=105, Resulting Numbers: [3, 105] Generated Node #3: [3, 105] from Operation: 76+29=105 Current State: 35:[3, 105], Operations: ['73-44=29', '76+29=105'] Exploring Operation: 105/3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 92, 64, 81, 56 ]
72
[ "92*64=5888", "5888-56=5832", "5832/81=72" ]
Current State: 72:[92, 64, 81, 56], Operations: [] Exploring Operation: 92*64=5888, Resulting Numbers: [81, 56, 5888] Generated Node #2: [81, 56, 5888] from Operation: 92*64=5888 Current State: 72:[81, 56, 5888], Operations: ['92*64=5888'] Exploring Operation: 5888-56=5832, Resulting Numbers: [81, 5832] Generated Node #3: [81, 5832] from Operation: 5888-56=5832 Current State: 72:[81, 5832], Operations: ['92*64=5888', '5888-56=5832'] Exploring Operation: 5832/81=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 98, 51, 21, 70 ]
59
[ "98+70=168", "168/21=8", "51+8=59" ]
Current State: 59:[98, 51, 21, 70], Operations: [] Exploring Operation: 98+70=168, Resulting Numbers: [51, 21, 168] Generated Node #2: [51, 21, 168] from Operation: 98+70=168 Current State: 59:[51, 21, 168], Operations: ['98+70=168'] Exploring Operation: 168/21=8, Resulting Numbers: [51, 8] Generated Node #3: [51, 8] from Operation: 168/21=8 Current State: 59:[51, 8], Operations: ['98+70=168', '168/21=8'] Exploring Operation: 51+8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 4, 1, 6, 10 ]
63
[ "4-1=3", "6*10=60", "3+60=63" ]
Current State: 63:[4, 1, 6, 10], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [6, 10, 3] Generated Node #2: [6, 10, 3] from Operation: 4-1=3 Current State: 63:[6, 10, 3], Operations: ['4-1=3'] Exploring Operation: 6*10=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 6*10=60 Current State: 63:[3, 60], Operations: ['4-1=3', '6*10=60'] Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 71, 43, 19, 80 ]
86
[ "71+43=114", "114/19=6", "80+6=86" ]
Current State: 86:[71, 43, 19, 80], Operations: [] Exploring Operation: 71+43=114, Resulting Numbers: [19, 80, 114] Generated Node #2: [19, 80, 114] from Operation: 71+43=114 Current State: 86:[19, 80, 114], Operations: ['71+43=114'] Exploring Operation: 114/19=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 114/19=6 Current State: 86:[80, 6], Operations: ['71+43=114', '114/19=6'] Exploring Operation: 80+6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 45, 10, 34, 58 ]
96
[ "58-45=13", "10*13=130", "130-34=96" ]
Current State: 96:[45, 10, 34, 58], Operations: [] Exploring Operation: 58-45=13, Resulting Numbers: [10, 34, 13] Generated Node #2: [10, 34, 13] from Operation: 58-45=13 Current State: 96:[10, 34, 13], Operations: ['58-45=13'] Exploring Operation: 10*13=130, Resulting Numbers: [34, 130] Generated Node #3: [34, 130] from Operation: 10*13=130 Current State: 96:[34, 130], Operations: ['58-45=13', '10*13=130'] Exploring Operation: 130-34=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 30, 18, 92 ]
31
[ "13+30=43", "92-18=74", "74-43=31" ]
Current State: 31:[13, 30, 18, 92], Operations: [] Exploring Operation: 13+30=43, Resulting Numbers: [18, 92, 43] Generated Node #2: [18, 92, 43] from Operation: 13+30=43 Current State: 31:[18, 92, 43], Operations: ['13+30=43'] Exploring Operation: 92-18=74, Resulting Numbers: [43, 74] Generated Node #3: [43, 74] from Operation: 92-18=74 Current State: 31:[43, 74], Operations: ['13+30=43', '92-18=74'] Exploring Operation: 74-43=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 31, 19, 57, 12 ]
27
[ "57/19=3", "12/3=4", "31-4=27" ]
Current State: 27:[31, 19, 57, 12], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [31, 12, 3] Generated Node #2: [31, 12, 3] from Operation: 57/19=3 Current State: 27:[31, 12, 3], Operations: ['57/19=3'] Exploring Operation: 12/3=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 12/3=4 Current State: 27:[31, 4], Operations: ['57/19=3', '12/3=4'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 51, 89, 2, 68 ]
36
[ "51+89=140", "140-68=72", "72/2=36" ]
Current State: 36:[51, 89, 2, 68], Operations: [] Exploring Operation: 51+89=140, Resulting Numbers: [2, 68, 140] Generated Node #2: [2, 68, 140] from Operation: 51+89=140 Current State: 36:[2, 68, 140], Operations: ['51+89=140'] Exploring Operation: 140-68=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 140-68=72 Current State: 36:[2, 72], Operations: ['51+89=140', '140-68=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 79, 65, 4, 58 ]
18
[ "79-65=14", "58+14=72", "72/4=18" ]
Current State: 18:[79, 65, 4, 58], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [4, 58, 14] Generated Node #2: [4, 58, 14] from Operation: 79-65=14 Current State: 18:[4, 58, 14], Operations: ['79-65=14'] Exploring Operation: 58+14=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 58+14=72 Current State: 18:[4, 72], Operations: ['79-65=14', '58+14=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 28, 42, 38, 96 ]
87
[ "96-38=58", "42*58=2436", "2436/28=87" ]
Current State: 87:[28, 42, 38, 96], Operations: [] Exploring Operation: 96-38=58, Resulting Numbers: [28, 42, 58] Generated Node #2: [28, 42, 58] from Operation: 96-38=58 Current State: 87:[28, 42, 58], Operations: ['96-38=58'] Exploring Operation: 42*58=2436, Resulting Numbers: [28, 2436] Generated Node #3: [28, 2436] from Operation: 42*58=2436 Current State: 87:[28, 2436], Operations: ['96-38=58', '42*58=2436'] Exploring Operation: 2436/28=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 32, 25, 59 ]
48
[ "50+32=82", "59-25=34", "82-34=48" ]
Current State: 48:[50, 32, 25, 59], Operations: [] Exploring Operation: 50+32=82, Resulting Numbers: [25, 59, 82] Generated Node #2: [25, 59, 82] from Operation: 50+32=82 Current State: 48:[25, 59, 82], Operations: ['50+32=82'] Exploring Operation: 59-25=34, Resulting Numbers: [82, 34] Generated Node #3: [82, 34] from Operation: 59-25=34 Current State: 48:[82, 34], Operations: ['50+32=82', '59-25=34'] Exploring Operation: 82-34=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 25, 10, 87 ]
19
[ "25-22=3", "87/3=29", "29-10=19" ]
Current State: 19:[22, 25, 10, 87], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [10, 87, 3] Generated Node #2: [10, 87, 3] from Operation: 25-22=3 Current State: 19:[10, 87, 3], Operations: ['25-22=3'] Exploring Operation: 87/3=29, Resulting Numbers: [10, 29] Generated Node #3: [10, 29] from Operation: 87/3=29 Current State: 19:[10, 29], Operations: ['25-22=3', '87/3=29'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 52, 25, 58, 80 ]
70
[ "58-52=6", "25*6=150", "150-80=70" ]
Current State: 70:[52, 25, 58, 80], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [25, 80, 6] Generated Node #2: [25, 80, 6] from Operation: 58-52=6 Current State: 70:[25, 80, 6], Operations: ['58-52=6'] Exploring Operation: 25*6=150, Resulting Numbers: [80, 150] Generated Node #3: [80, 150] from Operation: 25*6=150 Current State: 70:[80, 150], Operations: ['58-52=6', '25*6=150'] Exploring Operation: 150-80=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 39, 29, 13 ]
89
[ "57+29=86", "39/13=3", "86+3=89" ]
Current State: 89:[57, 39, 29, 13], Operations: [] Exploring Operation: 57+29=86, Resulting Numbers: [39, 13, 86] Generated Node #2: [39, 13, 86] from Operation: 57+29=86 Current State: 89:[39, 13, 86], Operations: ['57+29=86'] Exploring Operation: 39/13=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 39/13=3 Current State: 89:[86, 3], Operations: ['57+29=86', '39/13=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 80, 32, 20 ]
14
[ "32-22=10", "80/20=4", "10+4=14" ]
Current State: 14:[22, 80, 32, 20], Operations: [] Exploring Operation: 32-22=10, Resulting Numbers: [80, 20, 10] Generated Node #2: [80, 20, 10] from Operation: 32-22=10 Current State: 14:[80, 20, 10], Operations: ['32-22=10'] Exploring Operation: 80/20=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 80/20=4 Current State: 14:[10, 4], Operations: ['32-22=10', '80/20=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 24, 7, 19, 34 ]
46
[ "24+7=31", "34-19=15", "31+15=46" ]
Current State: 46:[24, 7, 19, 34], Operations: [] Exploring Operation: 24+7=31, Resulting Numbers: [19, 34, 31] Generated Node #2: [19, 34, 31] from Operation: 24+7=31 Current State: 46:[19, 34, 31], Operations: ['24+7=31'] Exploring Operation: 34-19=15, Resulting Numbers: [31, 15] Generated Node #3: [31, 15] from Operation: 34-19=15 Current State: 46:[31, 15], Operations: ['24+7=31', '34-19=15'] Exploring Operation: 31+15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 89, 20, 79 ]
21
[ "89-9=80", "79-20=59", "80-59=21" ]
Current State: 21:[9, 89, 20, 79], Operations: [] Exploring Operation: 89-9=80, Resulting Numbers: [20, 79, 80] Generated Node #2: [20, 79, 80] from Operation: 89-9=80 Current State: 21:[20, 79, 80], Operations: ['89-9=80'] Exploring Operation: 79-20=59, Resulting Numbers: [80, 59] Generated Node #3: [80, 59] from Operation: 79-20=59 Current State: 21:[80, 59], Operations: ['89-9=80', '79-20=59'] Exploring Operation: 80-59=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 41, 6, 39, 37 ]
52
[ "41+37=78", "78/6=13", "39+13=52" ]
Current State: 52:[41, 6, 39, 37], Operations: [] Exploring Operation: 41+37=78, Resulting Numbers: [6, 39, 78] Generated Node #2: [6, 39, 78] from Operation: 41+37=78 Current State: 52:[6, 39, 78], Operations: ['41+37=78'] Exploring Operation: 78/6=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 78/6=13 Current State: 52:[39, 13], Operations: ['41+37=78', '78/6=13'] Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 97, 3, 2 ]
46
[ "97-50=47", "3-2=1", "47-1=46" ]
Current State: 46:[50, 97, 3, 2], Operations: [] Exploring Operation: 97-50=47, Resulting Numbers: [3, 2, 47] Generated Node #2: [3, 2, 47] from Operation: 97-50=47 Current State: 46:[3, 2, 47], Operations: ['97-50=47'] Exploring Operation: 3-2=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 3-2=1 Current State: 46:[47, 1], Operations: ['97-50=47', '3-2=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 24, 21, 31, 24 ]
38
[ "24+21=45", "31-24=7", "45-7=38" ]
Current State: 38:[24, 21, 31, 24], Operations: [] Exploring Operation: 24+21=45, Resulting Numbers: [31, 45] Generated Node #2: [31, 45] from Operation: 24+21=45 Current State: 38:[31, 45], Operations: ['24+21=45'] Exploring Operation: 31-24=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 31-24=7 Current State: 38:[45, 7], Operations: ['24+21=45', '31-24=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 88, 44, 74, 91 ]
19
[ "88/44=2", "91-74=17", "2+17=19" ]
Current State: 19:[88, 44, 74, 91], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [74, 91, 2] Generated Node #2: [74, 91, 2] from Operation: 88/44=2 Current State: 19:[74, 91, 2], Operations: ['88/44=2'] Exploring Operation: 91-74=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 91-74=17 Current State: 19:[2, 17], Operations: ['88/44=2', '91-74=17'] Exploring Operation: 2+17=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 15, 86, 27, 18 ]
83
[ "27+18=45", "45/15=3", "86-3=83" ]
Current State: 83:[15, 86, 27, 18], Operations: [] Exploring Operation: 27+18=45, Resulting Numbers: [15, 86, 45] Generated Node #2: [15, 86, 45] from Operation: 27+18=45 Current State: 83:[15, 86, 45], Operations: ['27+18=45'] Exploring Operation: 45/15=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 45/15=3 Current State: 83:[86, 3], Operations: ['27+18=45', '45/15=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 54, 59, 30 ]
62
[ "54/2=27", "59+30=89", "89-27=62" ]
Current State: 62:[2, 54, 59, 30], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [59, 30, 27] Generated Node #2: [59, 30, 27] from Operation: 54/2=27 Current State: 62:[59, 30, 27], Operations: ['54/2=27'] Exploring Operation: 59+30=89, Resulting Numbers: [27, 89] Generated Node #3: [27, 89] from Operation: 59+30=89 Current State: 62:[27, 89], Operations: ['54/2=27', '59+30=89'] Exploring Operation: 89-27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 50, 31, 90, 5 ]
59
[ "50+90=140", "140/5=28", "31+28=59" ]
Current State: 59:[50, 31, 90, 5], Operations: [] Exploring Operation: 50+90=140, Resulting Numbers: [31, 5, 140] Generated Node #2: [31, 5, 140] from Operation: 50+90=140 Current State: 59:[31, 5, 140], Operations: ['50+90=140'] Exploring Operation: 140/5=28, Resulting Numbers: [31, 28] Generated Node #3: [31, 28] from Operation: 140/5=28 Current State: 59:[31, 28], Operations: ['50+90=140', '140/5=28'] Exploring Operation: 31+28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 3, 2, 88 ]
30
[ "71+3=74", "88/2=44", "74-44=30" ]
Current State: 30:[71, 3, 2, 88], Operations: [] Exploring Operation: 71+3=74, Resulting Numbers: [2, 88, 74] Generated Node #2: [2, 88, 74] from Operation: 71+3=74 Current State: 30:[2, 88, 74], Operations: ['71+3=74'] Exploring Operation: 88/2=44, Resulting Numbers: [74, 44] Generated Node #3: [74, 44] from Operation: 88/2=44 Current State: 30:[74, 44], Operations: ['71+3=74', '88/2=44'] Exploring Operation: 74-44=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 84, 35, 40, 8 ]
72
[ "84-35=49", "49-40=9", "8*9=72" ]
Current State: 72:[84, 35, 40, 8], Operations: [] Exploring Operation: 84-35=49, Resulting Numbers: [40, 8, 49] Generated Node #2: [40, 8, 49] from Operation: 84-35=49 Current State: 72:[40, 8, 49], Operations: ['84-35=49'] Exploring Operation: 49-40=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 49-40=9 Current State: 72:[8, 9], Operations: ['84-35=49', '49-40=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 64, 83, 65, 34 ]
80
[ "83-64=19", "65+34=99", "99-19=80" ]
Current State: 80:[64, 83, 65, 34], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [65, 34, 19] Generated Node #2: [65, 34, 19] from Operation: 83-64=19 Current State: 80:[65, 34, 19], Operations: ['83-64=19'] Exploring Operation: 65+34=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 65+34=99 Current State: 80:[19, 99], Operations: ['83-64=19', '65+34=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 49, 12, 41, 20 ]
64
[ "49-41=8", "20-12=8", "8*8=64" ]
Current State: 64:[49, 12, 41, 20], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [12, 20, 8] Generated Node #2: [12, 20, 8] from Operation: 49-41=8 Current State: 64:[12, 20, 8], Operations: ['49-41=8'] Exploring Operation: 20-12=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 20-12=8 Current State: 64:[8, 8], Operations: ['49-41=8', '20-12=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 69, 14, 22, 24 ]
46
[ "69*24=1656", "14+22=36", "1656/36=46" ]
Current State: 46:[69, 14, 22, 24], Operations: [] Exploring Operation: 69*24=1656, Resulting Numbers: [14, 22, 1656] Generated Node #2: [14, 22, 1656] from Operation: 69*24=1656 Current State: 46:[14, 22, 1656], Operations: ['69*24=1656'] Exploring Operation: 14+22=36, Resulting Numbers: [1656, 36] Generated Node #3: [1656, 36] from Operation: 14+22=36 Current State: 46:[1656, 36], Operations: ['69*24=1656', '14+22=36'] Exploring Operation: 1656/36=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 84, 72, 94, 22 ]
84
[ "84+72=156", "94-22=72", "156-72=84" ]
Current State: 84:[84, 72, 94, 22], Operations: [] Exploring Operation: 84+72=156, Resulting Numbers: [94, 22, 156] Generated Node #2: [94, 22, 156] from Operation: 84+72=156 Current State: 84:[94, 22, 156], Operations: ['84+72=156'] Exploring Operation: 94-22=72, Resulting Numbers: [156, 72] Generated Node #3: [156, 72] from Operation: 94-22=72 Current State: 84:[156, 72], Operations: ['84+72=156', '94-22=72'] Exploring Operation: 156-72=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 36, 18, 12, 34 ]
88
[ "36*18=648", "648/12=54", "34+54=88" ]
Current State: 88:[36, 18, 12, 34], Operations: [] Exploring Operation: 36*18=648, Resulting Numbers: [12, 34, 648] Generated Node #2: [12, 34, 648] from Operation: 36*18=648 Current State: 88:[12, 34, 648], Operations: ['36*18=648'] Exploring Operation: 648/12=54, Resulting Numbers: [34, 54] Generated Node #3: [34, 54] from Operation: 648/12=54 Current State: 88:[34, 54], Operations: ['36*18=648', '648/12=54'] Exploring Operation: 34+54=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 77, 81, 4, 11 ]
84
[ "77/11=7", "81-4=77", "7+77=84" ]
Current State: 84:[77, 81, 4, 11], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [81, 4, 7] Generated Node #2: [81, 4, 7] from Operation: 77/11=7 Current State: 84:[81, 4, 7], Operations: ['77/11=7'] Exploring Operation: 81-4=77, Resulting Numbers: [7, 77] Generated Node #3: [7, 77] from Operation: 81-4=77 Current State: 84:[7, 77], Operations: ['77/11=7', '81-4=77'] Exploring Operation: 7+77=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 99, 3, 28, 32 ]
13
[ "99-28=71", "71-32=39", "39/3=13" ]
Current State: 13:[99, 3, 28, 32], Operations: [] Exploring Operation: 99-28=71, Resulting Numbers: [3, 32, 71] Generated Node #2: [3, 32, 71] from Operation: 99-28=71 Current State: 13:[3, 32, 71], Operations: ['99-28=71'] Exploring Operation: 71-32=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 71-32=39 Current State: 13:[3, 39], Operations: ['99-28=71', '71-32=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 28, 3, 35, 52 ]
93
[ "28+35=63", "3*52=156", "156-63=93" ]
Current State: 93:[28, 3, 35, 52], Operations: [] Exploring Operation: 28+35=63, Resulting Numbers: [3, 52, 63] Generated Node #2: [3, 52, 63] from Operation: 28+35=63 Current State: 93:[3, 52, 63], Operations: ['28+35=63'] Exploring Operation: 3*52=156, Resulting Numbers: [63, 156] Generated Node #3: [63, 156] from Operation: 3*52=156 Current State: 93:[63, 156], Operations: ['28+35=63', '3*52=156'] Exploring Operation: 156-63=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 40, 87, 1 ]
83
[ "40/8=5", "87+1=88", "88-5=83" ]
Current State: 83:[8, 40, 87, 1], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [87, 1, 5] Generated Node #2: [87, 1, 5] from Operation: 40/8=5 Current State: 83:[87, 1, 5], Operations: ['40/8=5'] Exploring Operation: 87+1=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 87+1=88 Current State: 83:[5, 88], Operations: ['40/8=5', '87+1=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 5, 94, 15, 69 ]
15
[ "5+94=99", "15+69=84", "99-84=15" ]
Current State: 15:[5, 94, 15, 69], Operations: [] Exploring Operation: 5+94=99, Resulting Numbers: [15, 69, 99] Generated Node #2: [15, 69, 99] from Operation: 5+94=99 Current State: 15:[15, 69, 99], Operations: ['5+94=99'] Exploring Operation: 15+69=84, Resulting Numbers: [99, 84] Generated Node #3: [99, 84] from Operation: 15+69=84 Current State: 15:[99, 84], Operations: ['5+94=99', '15+69=84'] Exploring Operation: 99-84=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 46, 37, 43, 30 ]
64
[ "46-37=9", "43+30=73", "73-9=64" ]
Current State: 64:[46, 37, 43, 30], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [43, 30, 9] Generated Node #2: [43, 30, 9] from Operation: 46-37=9 Current State: 64:[43, 30, 9], Operations: ['46-37=9'] Exploring Operation: 43+30=73, Resulting Numbers: [9, 73] Generated Node #3: [9, 73] from Operation: 43+30=73 Current State: 64:[9, 73], Operations: ['46-37=9', '43+30=73'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 87, 11, 60, 20 ]
54
[ "11*60=660", "660/20=33", "87-33=54" ]
Current State: 54:[87, 11, 60, 20], Operations: [] Exploring Operation: 11*60=660, Resulting Numbers: [87, 20, 660] Generated Node #2: [87, 20, 660] from Operation: 11*60=660 Current State: 54:[87, 20, 660], Operations: ['11*60=660'] Exploring Operation: 660/20=33, Resulting Numbers: [87, 33] Generated Node #3: [87, 33] from Operation: 660/20=33 Current State: 54:[87, 33], Operations: ['11*60=660', '660/20=33'] Exploring Operation: 87-33=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 58, 84, 86 ]
38
[ "58+84=142", "86+142=228", "228/6=38" ]
Current State: 38:[6, 58, 84, 86], Operations: [] Exploring Operation: 58+84=142, Resulting Numbers: [6, 86, 142] Generated Node #2: [6, 86, 142] from Operation: 58+84=142 Current State: 38:[6, 86, 142], Operations: ['58+84=142'] Exploring Operation: 86+142=228, Resulting Numbers: [6, 228] Generated Node #3: [6, 228] from Operation: 86+142=228 Current State: 38:[6, 228], Operations: ['58+84=142', '86+142=228'] Exploring Operation: 228/6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 67, 8, 62, 23 ]
69
[ "67-8=59", "62-59=3", "23*3=69" ]
Current State: 69:[67, 8, 62, 23], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [62, 23, 59] Generated Node #2: [62, 23, 59] from Operation: 67-8=59 Current State: 69:[62, 23, 59], Operations: ['67-8=59'] Exploring Operation: 62-59=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 62-59=3 Current State: 69:[23, 3], Operations: ['67-8=59', '62-59=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 28, 8, 90, 93 ]
41
[ "28*8=224", "90+93=183", "224-183=41" ]
Current State: 41:[28, 8, 90, 93], Operations: [] Exploring Operation: 28*8=224, Resulting Numbers: [90, 93, 224] Generated Node #2: [90, 93, 224] from Operation: 28*8=224 Current State: 41:[90, 93, 224], Operations: ['28*8=224'] Exploring Operation: 90+93=183, Resulting Numbers: [224, 183] Generated Node #3: [224, 183] from Operation: 90+93=183 Current State: 41:[224, 183], Operations: ['28*8=224', '90+93=183'] Exploring Operation: 224-183=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 94, 43, 44, 87 ]
80
[ "94-43=51", "44+87=131", "131-51=80" ]
Current State: 80:[94, 43, 44, 87], Operations: [] Exploring Operation: 94-43=51, Resulting Numbers: [44, 87, 51] Generated Node #2: [44, 87, 51] from Operation: 94-43=51 Current State: 80:[44, 87, 51], Operations: ['94-43=51'] Exploring Operation: 44+87=131, Resulting Numbers: [51, 131] Generated Node #3: [51, 131] from Operation: 44+87=131 Current State: 80:[51, 131], Operations: ['94-43=51', '44+87=131'] Exploring Operation: 131-51=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 21, 55, 36 ]
84
[ "87-55=32", "36-32=4", "21*4=84" ]
Current State: 84:[87, 21, 55, 36], Operations: [] Exploring Operation: 87-55=32, Resulting Numbers: [21, 36, 32] Generated Node #2: [21, 36, 32] from Operation: 87-55=32 Current State: 84:[21, 36, 32], Operations: ['87-55=32'] Exploring Operation: 36-32=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 36-32=4 Current State: 84:[21, 4], Operations: ['87-55=32', '36-32=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 34, 42, 12, 77 ]
97
[ "42-34=8", "12+77=89", "8+89=97" ]
Current State: 97:[34, 42, 12, 77], Operations: [] Exploring Operation: 42-34=8, Resulting Numbers: [12, 77, 8] Generated Node #2: [12, 77, 8] from Operation: 42-34=8 Current State: 97:[12, 77, 8], Operations: ['42-34=8'] Exploring Operation: 12+77=89, Resulting Numbers: [8, 89] Generated Node #3: [8, 89] from Operation: 12+77=89 Current State: 97:[8, 89], Operations: ['42-34=8', '12+77=89'] Exploring Operation: 8+89=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 23, 83, 70, 9 ]
94
[ "83-70=13", "9*13=117", "117-23=94" ]
Current State: 94:[23, 83, 70, 9], Operations: [] Exploring Operation: 83-70=13, Resulting Numbers: [23, 9, 13] Generated Node #2: [23, 9, 13] from Operation: 83-70=13 Current State: 94:[23, 9, 13], Operations: ['83-70=13'] Exploring Operation: 9*13=117, Resulting Numbers: [23, 117] Generated Node #3: [23, 117] from Operation: 9*13=117 Current State: 94:[23, 117], Operations: ['83-70=13', '9*13=117'] Exploring Operation: 117-23=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 24, 14, 68, 7 ]
46
[ "24+68=92", "14/7=2", "92/2=46" ]
Current State: 46:[24, 14, 68, 7], Operations: [] Exploring Operation: 24+68=92, Resulting Numbers: [14, 7, 92] Generated Node #2: [14, 7, 92] from Operation: 24+68=92 Current State: 46:[14, 7, 92], Operations: ['24+68=92'] Exploring Operation: 14/7=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 14/7=2 Current State: 46:[92, 2], Operations: ['24+68=92', '14/7=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 62, 53, 65, 72 ]
22
[ "62+53=115", "65+72=137", "137-115=22" ]
Current State: 22:[62, 53, 65, 72], Operations: [] Exploring Operation: 62+53=115, Resulting Numbers: [65, 72, 115] Generated Node #2: [65, 72, 115] from Operation: 62+53=115 Current State: 22:[65, 72, 115], Operations: ['62+53=115'] Exploring Operation: 65+72=137, Resulting Numbers: [115, 137] Generated Node #3: [115, 137] from Operation: 65+72=137 Current State: 22:[115, 137], Operations: ['62+53=115', '65+72=137'] Exploring Operation: 137-115=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 70, 77, 33, 92 ]
52
[ "77-70=7", "92-33=59", "59-7=52" ]
Current State: 52:[70, 77, 33, 92], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [33, 92, 7] Generated Node #2: [33, 92, 7] from Operation: 77-70=7 Current State: 52:[33, 92, 7], Operations: ['77-70=7'] Exploring Operation: 92-33=59, Resulting Numbers: [7, 59] Generated Node #3: [7, 59] from Operation: 92-33=59 Current State: 52:[7, 59], Operations: ['77-70=7', '92-33=59'] Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 25, 11, 51 ]
42
[ "11-8=3", "51/3=17", "25+17=42" ]
Current State: 42:[8, 25, 11, 51], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [25, 51, 3] Generated Node #2: [25, 51, 3] from Operation: 11-8=3 Current State: 42:[25, 51, 3], Operations: ['11-8=3'] Exploring Operation: 51/3=17, Resulting Numbers: [25, 17] Generated Node #3: [25, 17] from Operation: 51/3=17 Current State: 42:[25, 17], Operations: ['11-8=3', '51/3=17'] Exploring Operation: 25+17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 7, 3, 66 ]
81
[ "36+66=102", "7*3=21", "102-21=81" ]
Current State: 81:[36, 7, 3, 66], Operations: [] Exploring Operation: 36+66=102, Resulting Numbers: [7, 3, 102] Generated Node #2: [7, 3, 102] from Operation: 36+66=102 Current State: 81:[7, 3, 102], Operations: ['36+66=102'] Exploring Operation: 7*3=21, Resulting Numbers: [102, 21] Generated Node #3: [102, 21] from Operation: 7*3=21 Current State: 81:[102, 21], Operations: ['36+66=102', '7*3=21'] Exploring Operation: 102-21=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 50, 27, 75, 48 ]
51
[ "50-48=2", "27+75=102", "102/2=51" ]
Current State: 51:[50, 27, 75, 48], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [27, 75, 2] Generated Node #2: [27, 75, 2] from Operation: 50-48=2 Current State: 51:[27, 75, 2], Operations: ['50-48=2'] Exploring Operation: 27+75=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 27+75=102 Current State: 51:[2, 102], Operations: ['50-48=2', '27+75=102'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 50, 59, 74, 25 ]
11
[ "59-50=9", "74+25=99", "99/9=11" ]
Current State: 11:[50, 59, 74, 25], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [74, 25, 9] Generated Node #2: [74, 25, 9] from Operation: 59-50=9 Current State: 11:[74, 25, 9], Operations: ['59-50=9'] Exploring Operation: 74+25=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 74+25=99 Current State: 11:[9, 99], Operations: ['59-50=9', '74+25=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 62, 88, 42, 44 ]
57
[ "44-42=2", "62/2=31", "88-31=57" ]
Current State: 57:[62, 88, 42, 44], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [62, 88, 2] Generated Node #2: [62, 88, 2] from Operation: 44-42=2 Current State: 57:[62, 88, 2], Operations: ['44-42=2'] Exploring Operation: 62/2=31, Resulting Numbers: [88, 31] Generated Node #3: [88, 31] from Operation: 62/2=31 Current State: 57:[88, 31], Operations: ['44-42=2', '62/2=31'] Exploring Operation: 88-31=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 56, 49, 92, 84 ]
71
[ "56+49=105", "92+84=176", "176-105=71" ]
Current State: 71:[56, 49, 92, 84], Operations: [] Exploring Operation: 56+49=105, Resulting Numbers: [92, 84, 105] Generated Node #2: [92, 84, 105] from Operation: 56+49=105 Current State: 71:[92, 84, 105], Operations: ['56+49=105'] Exploring Operation: 92+84=176, Resulting Numbers: [105, 176] Generated Node #3: [105, 176] from Operation: 92+84=176 Current State: 71:[105, 176], Operations: ['56+49=105', '92+84=176'] Exploring Operation: 176-105=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 13, 71, 14 ]
73
[ "10*13=130", "71-14=57", "130-57=73" ]
Current State: 73:[10, 13, 71, 14], Operations: [] Exploring Operation: 10*13=130, Resulting Numbers: [71, 14, 130] Generated Node #2: [71, 14, 130] from Operation: 10*13=130 Current State: 73:[71, 14, 130], Operations: ['10*13=130'] Exploring Operation: 71-14=57, Resulting Numbers: [130, 57] Generated Node #3: [130, 57] from Operation: 71-14=57 Current State: 73:[130, 57], Operations: ['10*13=130', '71-14=57'] Exploring Operation: 130-57=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 39, 42, 94 ]
83
[ "94/47=2", "39+42=81", "2+81=83" ]
Current State: 83:[47, 39, 42, 94], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [39, 42, 2] Generated Node #2: [39, 42, 2] from Operation: 94/47=2 Current State: 83:[39, 42, 2], Operations: ['94/47=2'] Exploring Operation: 39+42=81, Resulting Numbers: [2, 81] Generated Node #3: [2, 81] from Operation: 39+42=81 Current State: 83:[2, 81], Operations: ['94/47=2', '39+42=81'] Exploring Operation: 2+81=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 46, 47, 46, 58 ]
81
[ "46+47=93", "58-46=12", "93-12=81" ]
Current State: 81:[46, 47, 46, 58], Operations: [] Exploring Operation: 46+47=93, Resulting Numbers: [58, 93] Generated Node #2: [58, 93] from Operation: 46+47=93 Current State: 81:[58, 93], Operations: ['46+47=93'] Exploring Operation: 58-46=12, Resulting Numbers: [93, 12] Generated Node #3: [93, 12] from Operation: 58-46=12 Current State: 81:[93, 12], Operations: ['46+47=93', '58-46=12'] Exploring Operation: 93-12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4