Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 76, 10, 33, 64 ]
97
[ "76-10=66", "64-33=31", "66+31=97" ]
Current State: 97:[76, 10, 33, 64], Operations: [] Exploring Operation: 76-10=66, Resulting Numbers: [33, 64, 66] Generated Node #2: [33, 64, 66] from Operation: 76-10=66 Current State: 97:[33, 64, 66], Operations: ['76-10=66'] Exploring Operation: 64-33=31, Resulting Numbers: [66, 31] Generated Node #3: [66, 31] from Operation: 64-33=31 Current State: 97:[66, 31], Operations: ['76-10=66', '64-33=31'] Exploring Operation: 66+31=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 73, 71, 57, 88 ]
26
[ "73-71=2", "57*2=114", "114-88=26" ]
Current State: 26:[73, 71, 57, 88], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [57, 88, 2] Generated Node #2: [57, 88, 2] from Operation: 73-71=2 Current State: 26:[57, 88, 2], Operations: ['73-71=2'] Exploring Operation: 57*2=114, Resulting Numbers: [88, 114] Generated Node #3: [88, 114] from Operation: 57*2=114 Current State: 26:[88, 114], Operations: ['73-71=2', '57*2=114'] Exploring Operation: 114-88=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 17, 6, 9, 9 ]
22
[ "17+6=23", "9/9=1", "23-1=22" ]
Current State: 22:[17, 6, 9, 9], Operations: [] Exploring Operation: 17+6=23, Resulting Numbers: [9, 9, 23] Generated Node #2: [9, 9, 23] from Operation: 17+6=23 Current State: 22:[9, 9, 23], Operations: ['17+6=23'] Exploring Operation: 9/9=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 9/9=1 Current State: 22:[23, 1], Operations: ['17+6=23', '9/9=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 37, 47, 58, 12 ]
51
[ "37+47=84", "84/12=7", "58-7=51" ]
Current State: 51:[37, 47, 58, 12], Operations: [] Exploring Operation: 37+47=84, Resulting Numbers: [58, 12, 84] Generated Node #2: [58, 12, 84] from Operation: 37+47=84 Current State: 51:[58, 12, 84], Operations: ['37+47=84'] Exploring Operation: 84/12=7, Resulting Numbers: [58, 7] Generated Node #3: [58, 7] from Operation: 84/12=7 Current State: 51:[58, 7], Operations: ['37+47=84', '84/12=7'] Exploring Operation: 58-7=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 80, 52, 24, 46 ]
50
[ "80-52=28", "46-24=22", "28+22=50" ]
Current State: 50:[80, 52, 24, 46], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [24, 46, 28] Generated Node #2: [24, 46, 28] from Operation: 80-52=28 Current State: 50:[24, 46, 28], Operations: ['80-52=28'] Exploring Operation: 46-24=22, Resulting Numbers: [28, 22] Generated Node #3: [28, 22] from Operation: 46-24=22 Current State: 50:[28, 22], Operations: ['80-52=28', '46-24=22'] Exploring Operation: 28+22=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 10, 20, 85, 65 ]
45
[ "20/10=2", "65*2=130", "130-85=45" ]
Current State: 45:[10, 20, 85, 65], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [85, 65, 2] Generated Node #2: [85, 65, 2] from Operation: 20/10=2 Current State: 45:[85, 65, 2], Operations: ['20/10=2'] Exploring Operation: 65*2=130, Resulting Numbers: [85, 130] Generated Node #3: [85, 130] from Operation: 65*2=130 Current State: 45:[85, 130], Operations: ['20/10=2', '65*2=130'] Exploring Operation: 130-85=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 10, 90, 86, 95 ]
100
[ "10*90=900", "95-86=9", "900/9=100" ]
Current State: 100:[10, 90, 86, 95], Operations: [] Exploring Operation: 10*90=900, Resulting Numbers: [86, 95, 900] Generated Node #2: [86, 95, 900] from Operation: 10*90=900 Current State: 100:[86, 95, 900], Operations: ['10*90=900'] Exploring Operation: 95-86=9, Resulting Numbers: [900, 9] Generated Node #3: [900, 9] from Operation: 95-86=9 Current State: 100:[900, 9], Operations: ['10*90=900', '95-86=9'] Exploring Operation: 900/9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 70, 57, 18, 93 ]
72
[ "93-57=36", "36/18=2", "70+2=72" ]
Current State: 72:[70, 57, 18, 93], Operations: [] Exploring Operation: 93-57=36, Resulting Numbers: [70, 18, 36] Generated Node #2: [70, 18, 36] from Operation: 93-57=36 Current State: 72:[70, 18, 36], Operations: ['93-57=36'] Exploring Operation: 36/18=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 36/18=2 Current State: 72:[70, 2], Operations: ['93-57=36', '36/18=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 88, 78, 29, 91 ]
12
[ "88-78=10", "29+91=120", "120/10=12" ]
Current State: 12:[88, 78, 29, 91], Operations: [] Exploring Operation: 88-78=10, Resulting Numbers: [29, 91, 10] Generated Node #2: [29, 91, 10] from Operation: 88-78=10 Current State: 12:[29, 91, 10], Operations: ['88-78=10'] Exploring Operation: 29+91=120, Resulting Numbers: [10, 120] Generated Node #3: [10, 120] from Operation: 29+91=120 Current State: 12:[10, 120], Operations: ['88-78=10', '29+91=120'] Exploring Operation: 120/10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 55, 10, 50 ]
11
[ "20-10=10", "55*10=550", "550/50=11" ]
Current State: 11:[20, 55, 10, 50], Operations: [] Exploring Operation: 20-10=10, Resulting Numbers: [55, 50, 10] Generated Node #2: [55, 50, 10] from Operation: 20-10=10 Current State: 11:[55, 50, 10], Operations: ['20-10=10'] Exploring Operation: 55*10=550, Resulting Numbers: [50, 550] Generated Node #3: [50, 550] from Operation: 55*10=550 Current State: 11:[50, 550], Operations: ['20-10=10', '55*10=550'] Exploring Operation: 550/50=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 1, 35, 34, 70 ]
31
[ "34-1=33", "70/35=2", "33-2=31" ]
Current State: 31:[1, 35, 34, 70], Operations: [] Exploring Operation: 34-1=33, Resulting Numbers: [35, 70, 33] Generated Node #2: [35, 70, 33] from Operation: 34-1=33 Current State: 31:[35, 70, 33], Operations: ['34-1=33'] Exploring Operation: 70/35=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 70/35=2 Current State: 31:[33, 2], Operations: ['34-1=33', '70/35=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 11, 76, 53 ]
15
[ "53-34=19", "76/19=4", "11+4=15" ]
Current State: 15:[34, 11, 76, 53], Operations: [] Exploring Operation: 53-34=19, Resulting Numbers: [11, 76, 19] Generated Node #2: [11, 76, 19] from Operation: 53-34=19 Current State: 15:[11, 76, 19], Operations: ['53-34=19'] Exploring Operation: 76/19=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 76/19=4 Current State: 15:[11, 4], Operations: ['53-34=19', '76/19=4'] Exploring Operation: 11+4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 58, 19, 56, 26 ]
14
[ "58-56=2", "26-19=7", "2*7=14" ]
Current State: 14:[58, 19, 56, 26], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [19, 26, 2] Generated Node #2: [19, 26, 2] from Operation: 58-56=2 Current State: 14:[19, 26, 2], Operations: ['58-56=2'] Exploring Operation: 26-19=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 26-19=7 Current State: 14:[2, 7], Operations: ['58-56=2', '26-19=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 24, 11, 6 ]
78
[ "20-11=9", "6*9=54", "24+54=78" ]
Current State: 78:[20, 24, 11, 6], Operations: [] Exploring Operation: 20-11=9, Resulting Numbers: [24, 6, 9] Generated Node #2: [24, 6, 9] from Operation: 20-11=9 Current State: 78:[24, 6, 9], Operations: ['20-11=9'] Exploring Operation: 6*9=54, Resulting Numbers: [24, 54] Generated Node #3: [24, 54] from Operation: 6*9=54 Current State: 78:[24, 54], Operations: ['20-11=9', '6*9=54'] Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 74, 76, 94, 75 ]
96
[ "74+76=150", "150/75=2", "94+2=96" ]
Current State: 96:[74, 76, 94, 75], Operations: [] Exploring Operation: 74+76=150, Resulting Numbers: [94, 75, 150] Generated Node #2: [94, 75, 150] from Operation: 74+76=150 Current State: 96:[94, 75, 150], Operations: ['74+76=150'] Exploring Operation: 150/75=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 150/75=2 Current State: 96:[94, 2], Operations: ['74+76=150', '150/75=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 25, 18, 86, 94 ]
92
[ "25+18=43", "86/43=2", "94-2=92" ]
Current State: 92:[25, 18, 86, 94], Operations: [] Exploring Operation: 25+18=43, Resulting Numbers: [86, 94, 43] Generated Node #2: [86, 94, 43] from Operation: 25+18=43 Current State: 92:[86, 94, 43], Operations: ['25+18=43'] Exploring Operation: 86/43=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 86/43=2 Current State: 92:[94, 2], Operations: ['25+18=43', '86/43=2'] Exploring Operation: 94-2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 16, 29, 83 ]
45
[ "16-7=9", "83-29=54", "54-9=45" ]
Current State: 45:[7, 16, 29, 83], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [29, 83, 9] Generated Node #2: [29, 83, 9] from Operation: 16-7=9 Current State: 45:[29, 83, 9], Operations: ['16-7=9'] Exploring Operation: 83-29=54, Resulting Numbers: [9, 54] Generated Node #3: [9, 54] from Operation: 83-29=54 Current State: 45:[9, 54], Operations: ['16-7=9', '83-29=54'] Exploring Operation: 54-9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 39, 43, 40, 76 ]
59
[ "43-39=4", "76/4=19", "40+19=59" ]
Current State: 59:[39, 43, 40, 76], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [40, 76, 4] Generated Node #2: [40, 76, 4] from Operation: 43-39=4 Current State: 59:[40, 76, 4], Operations: ['43-39=4'] Exploring Operation: 76/4=19, Resulting Numbers: [40, 19] Generated Node #3: [40, 19] from Operation: 76/4=19 Current State: 59:[40, 19], Operations: ['43-39=4', '76/4=19'] Exploring Operation: 40+19=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 26, 79, 36, 20 ]
49
[ "26+79=105", "36+20=56", "105-56=49" ]
Current State: 49:[26, 79, 36, 20], Operations: [] Exploring Operation: 26+79=105, Resulting Numbers: [36, 20, 105] Generated Node #2: [36, 20, 105] from Operation: 26+79=105 Current State: 49:[36, 20, 105], Operations: ['26+79=105'] Exploring Operation: 36+20=56, Resulting Numbers: [105, 56] Generated Node #3: [105, 56] from Operation: 36+20=56 Current State: 49:[105, 56], Operations: ['26+79=105', '36+20=56'] Exploring Operation: 105-56=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 47, 64, 73, 90 ]
52
[ "47+64=111", "73+90=163", "163-111=52" ]
Current State: 52:[47, 64, 73, 90], Operations: [] Exploring Operation: 47+64=111, Resulting Numbers: [73, 90, 111] Generated Node #2: [73, 90, 111] from Operation: 47+64=111 Current State: 52:[73, 90, 111], Operations: ['47+64=111'] Exploring Operation: 73+90=163, Resulting Numbers: [111, 163] Generated Node #3: [111, 163] from Operation: 73+90=163 Current State: 52:[111, 163], Operations: ['47+64=111', '73+90=163'] Exploring Operation: 163-111=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 89, 42, 71 ]
83
[ "89-35=54", "71-42=29", "54+29=83" ]
Current State: 83:[35, 89, 42, 71], Operations: [] Exploring Operation: 89-35=54, Resulting Numbers: [42, 71, 54] Generated Node #2: [42, 71, 54] from Operation: 89-35=54 Current State: 83:[42, 71, 54], Operations: ['89-35=54'] Exploring Operation: 71-42=29, Resulting Numbers: [54, 29] Generated Node #3: [54, 29] from Operation: 71-42=29 Current State: 83:[54, 29], Operations: ['89-35=54', '71-42=29'] Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 98, 12, 84 ]
93
[ "84-24=60", "60/12=5", "98-5=93" ]
Current State: 93:[24, 98, 12, 84], Operations: [] Exploring Operation: 84-24=60, Resulting Numbers: [98, 12, 60] Generated Node #2: [98, 12, 60] from Operation: 84-24=60 Current State: 93:[98, 12, 60], Operations: ['84-24=60'] Exploring Operation: 60/12=5, Resulting Numbers: [98, 5] Generated Node #3: [98, 5] from Operation: 60/12=5 Current State: 93:[98, 5], Operations: ['84-24=60', '60/12=5'] Exploring Operation: 98-5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 62, 25, 23, 82 ]
22
[ "62-25=37", "82-23=59", "59-37=22" ]
Current State: 22:[62, 25, 23, 82], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [23, 82, 37] Generated Node #2: [23, 82, 37] from Operation: 62-25=37 Current State: 22:[23, 82, 37], Operations: ['62-25=37'] Exploring Operation: 82-23=59, Resulting Numbers: [37, 59] Generated Node #3: [37, 59] from Operation: 82-23=59 Current State: 22:[37, 59], Operations: ['62-25=37', '82-23=59'] Exploring Operation: 59-37=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 41, 3, 46 ]
94
[ "41+46=87", "87/3=29", "65+29=94" ]
Current State: 94:[65, 41, 3, 46], Operations: [] Exploring Operation: 41+46=87, Resulting Numbers: [65, 3, 87] Generated Node #2: [65, 3, 87] from Operation: 41+46=87 Current State: 94:[65, 3, 87], Operations: ['41+46=87'] Exploring Operation: 87/3=29, Resulting Numbers: [65, 29] Generated Node #3: [65, 29] from Operation: 87/3=29 Current State: 94:[65, 29], Operations: ['41+46=87', '87/3=29'] Exploring Operation: 65+29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 72, 28, 45 ]
63
[ "8+72=80", "45-28=17", "80-17=63" ]
Current State: 63:[8, 72, 28, 45], Operations: [] Exploring Operation: 8+72=80, Resulting Numbers: [28, 45, 80] Generated Node #2: [28, 45, 80] from Operation: 8+72=80 Current State: 63:[28, 45, 80], Operations: ['8+72=80'] Exploring Operation: 45-28=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 45-28=17 Current State: 63:[80, 17], Operations: ['8+72=80', '45-28=17'] Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 82, 75, 60, 82 ]
75
[ "82-82=0", "60*0=0", "75+0=75" ]
Current State: 75:[82, 75, 60, 82], Operations: [] Exploring Operation: 82-82=0, Resulting Numbers: [75, 60, 0] Generated Node #2: [75, 60, 0] from Operation: 82-82=0 Current State: 75:[75, 60, 0], Operations: ['82-82=0'] Exploring Operation: 60*0=0, Resulting Numbers: [75, 0] Generated Node #3: [75, 0] from Operation: 60*0=0 Current State: 75:[75, 0], Operations: ['82-82=0', '60*0=0'] Exploring Operation: 75+0=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 3, 46, 31, 73 ]
50
[ "46+31=77", "73+77=150", "150/3=50" ]
Current State: 50:[3, 46, 31, 73], Operations: [] Exploring Operation: 46+31=77, Resulting Numbers: [3, 73, 77] Generated Node #2: [3, 73, 77] from Operation: 46+31=77 Current State: 50:[3, 73, 77], Operations: ['46+31=77'] Exploring Operation: 73+77=150, Resulting Numbers: [3, 150] Generated Node #3: [3, 150] from Operation: 73+77=150 Current State: 50:[3, 150], Operations: ['46+31=77', '73+77=150'] Exploring Operation: 150/3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 84, 76, 85, 38 ]
43
[ "84*38=3192", "3192/76=42", "85-42=43" ]
Current State: 43:[84, 76, 85, 38], Operations: [] Exploring Operation: 84*38=3192, Resulting Numbers: [76, 85, 3192] Generated Node #2: [76, 85, 3192] from Operation: 84*38=3192 Current State: 43:[76, 85, 3192], Operations: ['84*38=3192'] Exploring Operation: 3192/76=42, Resulting Numbers: [85, 42] Generated Node #3: [85, 42] from Operation: 3192/76=42 Current State: 43:[85, 42], Operations: ['84*38=3192', '3192/76=42'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 50, 95, 97, 27 ]
79
[ "95-50=45", "97+27=124", "124-45=79" ]
Current State: 79:[50, 95, 97, 27], Operations: [] Exploring Operation: 95-50=45, Resulting Numbers: [97, 27, 45] Generated Node #2: [97, 27, 45] from Operation: 95-50=45 Current State: 79:[97, 27, 45], Operations: ['95-50=45'] Exploring Operation: 97+27=124, Resulting Numbers: [45, 124] Generated Node #3: [45, 124] from Operation: 97+27=124 Current State: 79:[45, 124], Operations: ['95-50=45', '97+27=124'] Exploring Operation: 124-45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 64, 33, 41 ]
91
[ "64/16=4", "33*4=132", "132-41=91" ]
Current State: 91:[16, 64, 33, 41], Operations: [] Exploring Operation: 64/16=4, Resulting Numbers: [33, 41, 4] Generated Node #2: [33, 41, 4] from Operation: 64/16=4 Current State: 91:[33, 41, 4], Operations: ['64/16=4'] Exploring Operation: 33*4=132, Resulting Numbers: [41, 132] Generated Node #3: [41, 132] from Operation: 33*4=132 Current State: 91:[41, 132], Operations: ['64/16=4', '33*4=132'] Exploring Operation: 132-41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 66, 38, 32, 95 ]
84
[ "38-32=6", "66/6=11", "95-11=84" ]
Current State: 84:[66, 38, 32, 95], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [66, 95, 6] Generated Node #2: [66, 95, 6] from Operation: 38-32=6 Current State: 84:[66, 95, 6], Operations: ['38-32=6'] Exploring Operation: 66/6=11, Resulting Numbers: [95, 11] Generated Node #3: [95, 11] from Operation: 66/6=11 Current State: 84:[95, 11], Operations: ['38-32=6', '66/6=11'] Exploring Operation: 95-11=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 92, 40, 20, 45 ]
25
[ "92-20=72", "40*45=1800", "1800/72=25" ]
Current State: 25:[92, 40, 20, 45], Operations: [] Exploring Operation: 92-20=72, Resulting Numbers: [40, 45, 72] Generated Node #2: [40, 45, 72] from Operation: 92-20=72 Current State: 25:[40, 45, 72], Operations: ['92-20=72'] Exploring Operation: 40*45=1800, Resulting Numbers: [72, 1800] Generated Node #3: [72, 1800] from Operation: 40*45=1800 Current State: 25:[72, 1800], Operations: ['92-20=72', '40*45=1800'] Exploring Operation: 1800/72=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 70, 54, 68 ]
80
[ "3*68=204", "70+54=124", "204-124=80" ]
Current State: 80:[3, 70, 54, 68], Operations: [] Exploring Operation: 3*68=204, Resulting Numbers: [70, 54, 204] Generated Node #2: [70, 54, 204] from Operation: 3*68=204 Current State: 80:[70, 54, 204], Operations: ['3*68=204'] Exploring Operation: 70+54=124, Resulting Numbers: [204, 124] Generated Node #3: [204, 124] from Operation: 70+54=124 Current State: 80:[204, 124], Operations: ['3*68=204', '70+54=124'] Exploring Operation: 204-124=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 94, 37, 58 ]
74
[ "58-11=47", "94*37=3478", "3478/47=74" ]
Current State: 74:[11, 94, 37, 58], Operations: [] Exploring Operation: 58-11=47, Resulting Numbers: [94, 37, 47] Generated Node #2: [94, 37, 47] from Operation: 58-11=47 Current State: 74:[94, 37, 47], Operations: ['58-11=47'] Exploring Operation: 94*37=3478, Resulting Numbers: [47, 3478] Generated Node #3: [47, 3478] from Operation: 94*37=3478 Current State: 74:[47, 3478], Operations: ['58-11=47', '94*37=3478'] Exploring Operation: 3478/47=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 61, 10, 2 ]
37
[ "10*10=100", "61+2=63", "100-63=37" ]
Current State: 37:[10, 61, 10, 2], Operations: [] Exploring Operation: 10*10=100, Resulting Numbers: [61, 2, 100] Generated Node #2: [61, 2, 100] from Operation: 10*10=100 Current State: 37:[61, 2, 100], Operations: ['10*10=100'] Exploring Operation: 61+2=63, Resulting Numbers: [100, 63] Generated Node #3: [100, 63] from Operation: 61+2=63 Current State: 37:[100, 63], Operations: ['10*10=100', '61+2=63'] Exploring Operation: 100-63=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 99, 96, 72 ]
53
[ "99-96=3", "72/3=24", "77-24=53" ]
Current State: 53:[77, 99, 96, 72], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [77, 72, 3] Generated Node #2: [77, 72, 3] from Operation: 99-96=3 Current State: 53:[77, 72, 3], Operations: ['99-96=3'] Exploring Operation: 72/3=24, Resulting Numbers: [77, 24] Generated Node #3: [77, 24] from Operation: 72/3=24 Current State: 53:[77, 24], Operations: ['99-96=3', '72/3=24'] Exploring Operation: 77-24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 6, 55, 49, 2 ]
17
[ "55+49=104", "104-2=102", "102/6=17" ]
Current State: 17:[6, 55, 49, 2], Operations: [] Exploring Operation: 55+49=104, Resulting Numbers: [6, 2, 104] Generated Node #2: [6, 2, 104] from Operation: 55+49=104 Current State: 17:[6, 2, 104], Operations: ['55+49=104'] Exploring Operation: 104-2=102, Resulting Numbers: [6, 102] Generated Node #3: [6, 102] from Operation: 104-2=102 Current State: 17:[6, 102], Operations: ['55+49=104', '104-2=102'] Exploring Operation: 102/6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 63, 8, 45 ]
65
[ "63-35=28", "45-8=37", "28+37=65" ]
Current State: 65:[35, 63, 8, 45], Operations: [] Exploring Operation: 63-35=28, Resulting Numbers: [8, 45, 28] Generated Node #2: [8, 45, 28] from Operation: 63-35=28 Current State: 65:[8, 45, 28], Operations: ['63-35=28'] Exploring Operation: 45-8=37, Resulting Numbers: [28, 37] Generated Node #3: [28, 37] from Operation: 45-8=37 Current State: 65:[28, 37], Operations: ['63-35=28', '45-8=37'] Exploring Operation: 28+37=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 12, 88, 8 ]
84
[ "88/88=1", "8-1=7", "12*7=84" ]
Current State: 84:[88, 12, 88, 8], Operations: [] Exploring Operation: 88/88=1, Resulting Numbers: [12, 8, 1] Generated Node #2: [12, 8, 1] from Operation: 88/88=1 Current State: 84:[12, 8, 1], Operations: ['88/88=1'] Exploring Operation: 8-1=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 8-1=7 Current State: 84:[12, 7], Operations: ['88/88=1', '8-1=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 80, 29, 70, 34 ]
50
[ "80-70=10", "34-29=5", "10*5=50" ]
Current State: 50:[80, 29, 70, 34], Operations: [] Exploring Operation: 80-70=10, Resulting Numbers: [29, 34, 10] Generated Node #2: [29, 34, 10] from Operation: 80-70=10 Current State: 50:[29, 34, 10], Operations: ['80-70=10'] Exploring Operation: 34-29=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 34-29=5 Current State: 50:[10, 5], Operations: ['80-70=10', '34-29=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 13, 16, 88, 53 ]
67
[ "13*16=208", "88+53=141", "208-141=67" ]
Current State: 67:[13, 16, 88, 53], Operations: [] Exploring Operation: 13*16=208, Resulting Numbers: [88, 53, 208] Generated Node #2: [88, 53, 208] from Operation: 13*16=208 Current State: 67:[88, 53, 208], Operations: ['13*16=208'] Exploring Operation: 88+53=141, Resulting Numbers: [208, 141] Generated Node #3: [208, 141] from Operation: 88+53=141 Current State: 67:[208, 141], Operations: ['13*16=208', '88+53=141'] Exploring Operation: 208-141=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 34, 70, 36, 82 ]
76
[ "36-34=2", "70+82=152", "152/2=76" ]
Current State: 76:[34, 70, 36, 82], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [70, 82, 2] Generated Node #2: [70, 82, 2] from Operation: 36-34=2 Current State: 76:[70, 82, 2], Operations: ['36-34=2'] Exploring Operation: 70+82=152, Resulting Numbers: [2, 152] Generated Node #3: [2, 152] from Operation: 70+82=152 Current State: 76:[2, 152], Operations: ['36-34=2', '70+82=152'] Exploring Operation: 152/2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 7, 89, 48 ]
74
[ "40-7=33", "89-48=41", "33+41=74" ]
Current State: 74:[40, 7, 89, 48], Operations: [] Exploring Operation: 40-7=33, Resulting Numbers: [89, 48, 33] Generated Node #2: [89, 48, 33] from Operation: 40-7=33 Current State: 74:[89, 48, 33], Operations: ['40-7=33'] Exploring Operation: 89-48=41, Resulting Numbers: [33, 41] Generated Node #3: [33, 41] from Operation: 89-48=41 Current State: 74:[33, 41], Operations: ['40-7=33', '89-48=41'] Exploring Operation: 33+41=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 64, 8, 60 ]
28
[ "10-8=2", "64/2=32", "60-32=28" ]
Current State: 28:[10, 64, 8, 60], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [64, 60, 2] Generated Node #2: [64, 60, 2] from Operation: 10-8=2 Current State: 28:[64, 60, 2], Operations: ['10-8=2'] Exploring Operation: 64/2=32, Resulting Numbers: [60, 32] Generated Node #3: [60, 32] from Operation: 64/2=32 Current State: 28:[60, 32], Operations: ['10-8=2', '64/2=32'] Exploring Operation: 60-32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 58, 88, 38, 52 ]
44
[ "88-58=30", "52-38=14", "30+14=44" ]
Current State: 44:[58, 88, 38, 52], Operations: [] Exploring Operation: 88-58=30, Resulting Numbers: [38, 52, 30] Generated Node #2: [38, 52, 30] from Operation: 88-58=30 Current State: 44:[38, 52, 30], Operations: ['88-58=30'] Exploring Operation: 52-38=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 52-38=14 Current State: 44:[30, 14], Operations: ['88-58=30', '52-38=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 95, 51, 70 ]
63
[ "84*95=7980", "7980/70=114", "114-51=63" ]
Current State: 63:[84, 95, 51, 70], Operations: [] Exploring Operation: 84*95=7980, Resulting Numbers: [51, 70, 7980] Generated Node #2: [51, 70, 7980] from Operation: 84*95=7980 Current State: 63:[51, 70, 7980], Operations: ['84*95=7980'] Exploring Operation: 7980/70=114, Resulting Numbers: [51, 114] Generated Node #3: [51, 114] from Operation: 7980/70=114 Current State: 63:[51, 114], Operations: ['84*95=7980', '7980/70=114'] Exploring Operation: 114-51=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 26, 38, 33 ]
19
[ "57-26=31", "33-31=2", "38/2=19" ]
Current State: 19:[57, 26, 38, 33], Operations: [] Exploring Operation: 57-26=31, Resulting Numbers: [38, 33, 31] Generated Node #2: [38, 33, 31] from Operation: 57-26=31 Current State: 19:[38, 33, 31], Operations: ['57-26=31'] Exploring Operation: 33-31=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 33-31=2 Current State: 19:[38, 2], Operations: ['57-26=31', '33-31=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 16, 96, 95 ]
83
[ "66+16=82", "96-95=1", "82+1=83" ]
Current State: 83:[66, 16, 96, 95], Operations: [] Exploring Operation: 66+16=82, Resulting Numbers: [96, 95, 82] Generated Node #2: [96, 95, 82] from Operation: 66+16=82 Current State: 83:[96, 95, 82], Operations: ['66+16=82'] Exploring Operation: 96-95=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 96-95=1 Current State: 83:[82, 1], Operations: ['66+16=82', '96-95=1'] Exploring Operation: 82+1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 60, 45, 64 ]
45
[ "86-60=26", "64-45=19", "26+19=45" ]
Current State: 45:[86, 60, 45, 64], Operations: [] Exploring Operation: 86-60=26, Resulting Numbers: [45, 64, 26] Generated Node #2: [45, 64, 26] from Operation: 86-60=26 Current State: 45:[45, 64, 26], Operations: ['86-60=26'] Exploring Operation: 64-45=19, Resulting Numbers: [26, 19] Generated Node #3: [26, 19] from Operation: 64-45=19 Current State: 45:[26, 19], Operations: ['86-60=26', '64-45=19'] Exploring Operation: 26+19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 73, 92, 35, 32 ]
98
[ "73+92=165", "35+32=67", "165-67=98" ]
Current State: 98:[73, 92, 35, 32], Operations: [] Exploring Operation: 73+92=165, Resulting Numbers: [35, 32, 165] Generated Node #2: [35, 32, 165] from Operation: 73+92=165 Current State: 98:[35, 32, 165], Operations: ['73+92=165'] Exploring Operation: 35+32=67, Resulting Numbers: [165, 67] Generated Node #3: [165, 67] from Operation: 35+32=67 Current State: 98:[165, 67], Operations: ['73+92=165', '35+32=67'] Exploring Operation: 165-67=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 41, 23, 43, 50 ]
96
[ "43-41=2", "23*2=46", "50+46=96" ]
Current State: 96:[41, 23, 43, 50], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [23, 50, 2] Generated Node #2: [23, 50, 2] from Operation: 43-41=2 Current State: 96:[23, 50, 2], Operations: ['43-41=2'] Exploring Operation: 23*2=46, Resulting Numbers: [50, 46] Generated Node #3: [50, 46] from Operation: 23*2=46 Current State: 96:[50, 46], Operations: ['43-41=2', '23*2=46'] Exploring Operation: 50+46=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 79, 66, 84 ]
10
[ "66-16=50", "84-79=5", "50/5=10" ]
Current State: 10:[16, 79, 66, 84], Operations: [] Exploring Operation: 66-16=50, Resulting Numbers: [79, 84, 50] Generated Node #2: [79, 84, 50] from Operation: 66-16=50 Current State: 10:[79, 84, 50], Operations: ['66-16=50'] Exploring Operation: 84-79=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 84-79=5 Current State: 10:[50, 5], Operations: ['66-16=50', '84-79=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 59, 11, 9 ]
52
[ "59-9=50", "11-9=2", "50+2=52" ]
Current State: 52:[9, 59, 11, 9], Operations: [] Exploring Operation: 59-9=50, Resulting Numbers: [11, 50] Generated Node #2: [11, 50] from Operation: 59-9=50 Current State: 52:[11, 50], Operations: ['59-9=50'] Exploring Operation: 11-9=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 11-9=2 Current State: 52:[50, 2], Operations: ['59-9=50', '11-9=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 38, 66, 51, 52 ]
27
[ "66-38=28", "52-51=1", "28-1=27" ]
Current State: 27:[38, 66, 51, 52], Operations: [] Exploring Operation: 66-38=28, Resulting Numbers: [51, 52, 28] Generated Node #2: [51, 52, 28] from Operation: 66-38=28 Current State: 27:[51, 52, 28], Operations: ['66-38=28'] Exploring Operation: 52-51=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 52-51=1 Current State: 27:[28, 1], Operations: ['66-38=28', '52-51=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 23, 28, 81 ]
14
[ "37-28=9", "81/9=9", "23-9=14" ]
Current State: 14:[37, 23, 28, 81], Operations: [] Exploring Operation: 37-28=9, Resulting Numbers: [23, 81, 9] Generated Node #2: [23, 81, 9] from Operation: 37-28=9 Current State: 14:[23, 81, 9], Operations: ['37-28=9'] Exploring Operation: 81/9=9, Resulting Numbers: [23, 9] Generated Node #3: [23, 9] from Operation: 81/9=9 Current State: 14:[23, 9], Operations: ['37-28=9', '81/9=9'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 92, 95, 95, 94 ]
94
[ "95-95=0", "92*0=0", "94+0=94" ]
Current State: 94:[92, 95, 95, 94], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [92, 94, 0] Generated Node #2: [92, 94, 0] from Operation: 95-95=0 Current State: 94:[92, 94, 0], Operations: ['95-95=0'] Exploring Operation: 92*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 92*0=0 Current State: 94:[94, 0], Operations: ['95-95=0', '92*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 71, 66, 13, 65 ]
58
[ "71-13=58", "66-65=1", "58*1=58" ]
Current State: 58:[71, 66, 13, 65], Operations: [] Exploring Operation: 71-13=58, Resulting Numbers: [66, 65, 58] Generated Node #2: [66, 65, 58] from Operation: 71-13=58 Current State: 58:[66, 65, 58], Operations: ['71-13=58'] Exploring Operation: 66-65=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 66-65=1 Current State: 58:[58, 1], Operations: ['71-13=58', '66-65=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 36, 66, 9, 24 ]
54
[ "66-36=30", "30-24=6", "9*6=54" ]
Current State: 54:[36, 66, 9, 24], Operations: [] Exploring Operation: 66-36=30, Resulting Numbers: [9, 24, 30] Generated Node #2: [9, 24, 30] from Operation: 66-36=30 Current State: 54:[9, 24, 30], Operations: ['66-36=30'] Exploring Operation: 30-24=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 30-24=6 Current State: 54:[9, 6], Operations: ['66-36=30', '30-24=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 58, 65, 76, 69 ]
49
[ "65-58=7", "76-69=7", "7*7=49" ]
Current State: 49:[58, 65, 76, 69], Operations: [] Exploring Operation: 65-58=7, Resulting Numbers: [76, 69, 7] Generated Node #2: [76, 69, 7] from Operation: 65-58=7 Current State: 49:[76, 69, 7], Operations: ['65-58=7'] Exploring Operation: 76-69=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 76-69=7 Current State: 49:[7, 7], Operations: ['65-58=7', '76-69=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 45, 55, 56, 30 ]
14
[ "45+55=100", "56+30=86", "100-86=14" ]
Current State: 14:[45, 55, 56, 30], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [56, 30, 100] Generated Node #2: [56, 30, 100] from Operation: 45+55=100 Current State: 14:[56, 30, 100], Operations: ['45+55=100'] Exploring Operation: 56+30=86, Resulting Numbers: [100, 86] Generated Node #3: [100, 86] from Operation: 56+30=86 Current State: 14:[100, 86], Operations: ['45+55=100', '56+30=86'] Exploring Operation: 100-86=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 36, 21, 48 ]
70
[ "79-36=43", "48-21=27", "43+27=70" ]
Current State: 70:[79, 36, 21, 48], Operations: [] Exploring Operation: 79-36=43, Resulting Numbers: [21, 48, 43] Generated Node #2: [21, 48, 43] from Operation: 79-36=43 Current State: 70:[21, 48, 43], Operations: ['79-36=43'] Exploring Operation: 48-21=27, Resulting Numbers: [43, 27] Generated Node #3: [43, 27] from Operation: 48-21=27 Current State: 70:[43, 27], Operations: ['79-36=43', '48-21=27'] Exploring Operation: 43+27=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 28, 18, 62 ]
63
[ "45-28=17", "18+62=80", "80-17=63" ]
Current State: 63:[45, 28, 18, 62], Operations: [] Exploring Operation: 45-28=17, Resulting Numbers: [18, 62, 17] Generated Node #2: [18, 62, 17] from Operation: 45-28=17 Current State: 63:[18, 62, 17], Operations: ['45-28=17'] Exploring Operation: 18+62=80, Resulting Numbers: [17, 80] Generated Node #3: [17, 80] from Operation: 18+62=80 Current State: 63:[17, 80], Operations: ['45-28=17', '18+62=80'] Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 46, 98, 5 ]
47
[ "10+46=56", "98+5=103", "103-56=47" ]
Current State: 47:[10, 46, 98, 5], Operations: [] Exploring Operation: 10+46=56, Resulting Numbers: [98, 5, 56] Generated Node #2: [98, 5, 56] from Operation: 10+46=56 Current State: 47:[98, 5, 56], Operations: ['10+46=56'] Exploring Operation: 98+5=103, Resulting Numbers: [56, 103] Generated Node #3: [56, 103] from Operation: 98+5=103 Current State: 47:[56, 103], Operations: ['10+46=56', '98+5=103'] Exploring Operation: 103-56=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 87, 19, 16, 18 ]
23
[ "87-18=69", "19-16=3", "69/3=23" ]
Current State: 23:[87, 19, 16, 18], Operations: [] Exploring Operation: 87-18=69, Resulting Numbers: [19, 16, 69] Generated Node #2: [19, 16, 69] from Operation: 87-18=69 Current State: 23:[19, 16, 69], Operations: ['87-18=69'] Exploring Operation: 19-16=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 19-16=3 Current State: 23:[69, 3], Operations: ['87-18=69', '19-16=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 30, 34, 77, 4 ]
89
[ "77-30=47", "34*4=136", "136-47=89" ]
Current State: 89:[30, 34, 77, 4], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [34, 4, 47] Generated Node #2: [34, 4, 47] from Operation: 77-30=47 Current State: 89:[34, 4, 47], Operations: ['77-30=47'] Exploring Operation: 34*4=136, Resulting Numbers: [47, 136] Generated Node #3: [47, 136] from Operation: 34*4=136 Current State: 89:[47, 136], Operations: ['77-30=47', '34*4=136'] Exploring Operation: 136-47=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 96, 87, 63 ]
45
[ "96-87=9", "63/9=7", "52-7=45" ]
Current State: 45:[52, 96, 87, 63], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [52, 63, 9] Generated Node #2: [52, 63, 9] from Operation: 96-87=9 Current State: 45:[52, 63, 9], Operations: ['96-87=9'] Exploring Operation: 63/9=7, Resulting Numbers: [52, 7] Generated Node #3: [52, 7] from Operation: 63/9=7 Current State: 45:[52, 7], Operations: ['96-87=9', '63/9=7'] Exploring Operation: 52-7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 22, 17, 23, 19 ]
86
[ "22-19=3", "23*3=69", "17+69=86" ]
Current State: 86:[22, 17, 23, 19], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [17, 23, 3] Generated Node #2: [17, 23, 3] from Operation: 22-19=3 Current State: 86:[17, 23, 3], Operations: ['22-19=3'] Exploring Operation: 23*3=69, Resulting Numbers: [17, 69] Generated Node #3: [17, 69] from Operation: 23*3=69 Current State: 86:[17, 69], Operations: ['22-19=3', '23*3=69'] Exploring Operation: 17+69=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 35, 70, 75, 54 ]
95
[ "54-35=19", "75-70=5", "19*5=95" ]
Current State: 95:[35, 70, 75, 54], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [70, 75, 19] Generated Node #2: [70, 75, 19] from Operation: 54-35=19 Current State: 95:[70, 75, 19], Operations: ['54-35=19'] Exploring Operation: 75-70=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 75-70=5 Current State: 95:[19, 5], Operations: ['54-35=19', '75-70=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 71, 4, 25, 65 ]
61
[ "65-25=40", "40/4=10", "71-10=61" ]
Current State: 61:[71, 4, 25, 65], Operations: [] Exploring Operation: 65-25=40, Resulting Numbers: [71, 4, 40] Generated Node #2: [71, 4, 40] from Operation: 65-25=40 Current State: 61:[71, 4, 40], Operations: ['65-25=40'] Exploring Operation: 40/4=10, Resulting Numbers: [71, 10] Generated Node #3: [71, 10] from Operation: 40/4=10 Current State: 61:[71, 10], Operations: ['65-25=40', '40/4=10'] Exploring Operation: 71-10=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 26, 78, 85, 8 ]
98
[ "26+78=104", "104/8=13", "85+13=98" ]
Current State: 98:[26, 78, 85, 8], Operations: [] Exploring Operation: 26+78=104, Resulting Numbers: [85, 8, 104] Generated Node #2: [85, 8, 104] from Operation: 26+78=104 Current State: 98:[85, 8, 104], Operations: ['26+78=104'] Exploring Operation: 104/8=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 104/8=13 Current State: 98:[85, 13], Operations: ['26+78=104', '104/8=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 28, 14, 58 ]
64
[ "3*28=84", "84/14=6", "58+6=64" ]
Current State: 64:[3, 28, 14, 58], Operations: [] Exploring Operation: 3*28=84, Resulting Numbers: [14, 58, 84] Generated Node #2: [14, 58, 84] from Operation: 3*28=84 Current State: 64:[14, 58, 84], Operations: ['3*28=84'] Exploring Operation: 84/14=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 84/14=6 Current State: 64:[58, 6], Operations: ['3*28=84', '84/14=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 22, 5, 30 ]
41
[ "28-22=6", "5+30=35", "6+35=41" ]
Current State: 41:[28, 22, 5, 30], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [5, 30, 6] Generated Node #2: [5, 30, 6] from Operation: 28-22=6 Current State: 41:[5, 30, 6], Operations: ['28-22=6'] Exploring Operation: 5+30=35, Resulting Numbers: [6, 35] Generated Node #3: [6, 35] from Operation: 5+30=35 Current State: 41:[6, 35], Operations: ['28-22=6', '5+30=35'] Exploring Operation: 6+35=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 57, 38, 9, 60 ]
81
[ "57*60=3420", "3420/38=90", "90-9=81" ]
Current State: 81:[57, 38, 9, 60], Operations: [] Exploring Operation: 57*60=3420, Resulting Numbers: [38, 9, 3420] Generated Node #2: [38, 9, 3420] from Operation: 57*60=3420 Current State: 81:[38, 9, 3420], Operations: ['57*60=3420'] Exploring Operation: 3420/38=90, Resulting Numbers: [9, 90] Generated Node #3: [9, 90] from Operation: 3420/38=90 Current State: 81:[9, 90], Operations: ['57*60=3420', '3420/38=90'] Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 44, 91, 89, 80 ]
34
[ "44+91=135", "89+80=169", "169-135=34" ]
Current State: 34:[44, 91, 89, 80], Operations: [] Exploring Operation: 44+91=135, Resulting Numbers: [89, 80, 135] Generated Node #2: [89, 80, 135] from Operation: 44+91=135 Current State: 34:[89, 80, 135], Operations: ['44+91=135'] Exploring Operation: 89+80=169, Resulting Numbers: [135, 169] Generated Node #3: [135, 169] from Operation: 89+80=169 Current State: 34:[135, 169], Operations: ['44+91=135', '89+80=169'] Exploring Operation: 169-135=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 52, 14, 16, 9 ]
45
[ "52-14=38", "16-9=7", "38+7=45" ]
Current State: 45:[52, 14, 16, 9], Operations: [] Exploring Operation: 52-14=38, Resulting Numbers: [16, 9, 38] Generated Node #2: [16, 9, 38] from Operation: 52-14=38 Current State: 45:[16, 9, 38], Operations: ['52-14=38'] Exploring Operation: 16-9=7, Resulting Numbers: [38, 7] Generated Node #3: [38, 7] from Operation: 16-9=7 Current State: 45:[38, 7], Operations: ['52-14=38', '16-9=7'] Exploring Operation: 38+7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 4, 31, 28, 55 ]
41
[ "4*31=124", "28+55=83", "124-83=41" ]
Current State: 41:[4, 31, 28, 55], Operations: [] Exploring Operation: 4*31=124, Resulting Numbers: [28, 55, 124] Generated Node #2: [28, 55, 124] from Operation: 4*31=124 Current State: 41:[28, 55, 124], Operations: ['4*31=124'] Exploring Operation: 28+55=83, Resulting Numbers: [124, 83] Generated Node #3: [124, 83] from Operation: 28+55=83 Current State: 41:[124, 83], Operations: ['4*31=124', '28+55=83'] Exploring Operation: 124-83=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 5, 18, 22 ]
82
[ "47-5=42", "18+22=40", "42+40=82" ]
Current State: 82:[47, 5, 18, 22], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [18, 22, 42] Generated Node #2: [18, 22, 42] from Operation: 47-5=42 Current State: 82:[18, 22, 42], Operations: ['47-5=42'] Exploring Operation: 18+22=40, Resulting Numbers: [42, 40] Generated Node #3: [42, 40] from Operation: 18+22=40 Current State: 82:[42, 40], Operations: ['47-5=42', '18+22=40'] Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 22, 3, 81 ]
78
[ "28-22=6", "3+81=84", "84-6=78" ]
Current State: 78:[28, 22, 3, 81], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [3, 81, 6] Generated Node #2: [3, 81, 6] from Operation: 28-22=6 Current State: 78:[3, 81, 6], Operations: ['28-22=6'] Exploring Operation: 3+81=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 3+81=84 Current State: 78:[6, 84], Operations: ['28-22=6', '3+81=84'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 57, 54, 13, 2 ]
71
[ "57-13=44", "54/2=27", "44+27=71" ]
Current State: 71:[57, 54, 13, 2], Operations: [] Exploring Operation: 57-13=44, Resulting Numbers: [54, 2, 44] Generated Node #2: [54, 2, 44] from Operation: 57-13=44 Current State: 71:[54, 2, 44], Operations: ['57-13=44'] Exploring Operation: 54/2=27, Resulting Numbers: [44, 27] Generated Node #3: [44, 27] from Operation: 54/2=27 Current State: 71:[44, 27], Operations: ['57-13=44', '54/2=27'] Exploring Operation: 44+27=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 53, 26, 39 ]
72
[ "6+53=59", "39-26=13", "59+13=72" ]
Current State: 72:[6, 53, 26, 39], Operations: [] Exploring Operation: 6+53=59, Resulting Numbers: [26, 39, 59] Generated Node #2: [26, 39, 59] from Operation: 6+53=59 Current State: 72:[26, 39, 59], Operations: ['6+53=59'] Exploring Operation: 39-26=13, Resulting Numbers: [59, 13] Generated Node #3: [59, 13] from Operation: 39-26=13 Current State: 72:[59, 13], Operations: ['6+53=59', '39-26=13'] Exploring Operation: 59+13=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 20, 36, 21 ]
28
[ "23+20=43", "36-21=15", "43-15=28" ]
Current State: 28:[23, 20, 36, 21], Operations: [] Exploring Operation: 23+20=43, Resulting Numbers: [36, 21, 43] Generated Node #2: [36, 21, 43] from Operation: 23+20=43 Current State: 28:[36, 21, 43], Operations: ['23+20=43'] Exploring Operation: 36-21=15, Resulting Numbers: [43, 15] Generated Node #3: [43, 15] from Operation: 36-21=15 Current State: 28:[43, 15], Operations: ['23+20=43', '36-21=15'] Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 34, 2, 69 ]
83
[ "69-34=35", "2*35=70", "13+70=83" ]
Current State: 83:[13, 34, 2, 69], Operations: [] Exploring Operation: 69-34=35, Resulting Numbers: [13, 2, 35] Generated Node #2: [13, 2, 35] from Operation: 69-34=35 Current State: 83:[13, 2, 35], Operations: ['69-34=35'] Exploring Operation: 2*35=70, Resulting Numbers: [13, 70] Generated Node #3: [13, 70] from Operation: 2*35=70 Current State: 83:[13, 70], Operations: ['69-34=35', '2*35=70'] Exploring Operation: 13+70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 35, 50, 41 ]
35
[ "21+35=56", "50+41=91", "91-56=35" ]
Current State: 35:[21, 35, 50, 41], Operations: [] Exploring Operation: 21+35=56, Resulting Numbers: [50, 41, 56] Generated Node #2: [50, 41, 56] from Operation: 21+35=56 Current State: 35:[50, 41, 56], Operations: ['21+35=56'] Exploring Operation: 50+41=91, Resulting Numbers: [56, 91] Generated Node #3: [56, 91] from Operation: 50+41=91 Current State: 35:[56, 91], Operations: ['21+35=56', '50+41=91'] Exploring Operation: 91-56=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 23, 73, 79, 10 ]
76
[ "79-10=69", "69/23=3", "73+3=76" ]
Current State: 76:[23, 73, 79, 10], Operations: [] Exploring Operation: 79-10=69, Resulting Numbers: [23, 73, 69] Generated Node #2: [23, 73, 69] from Operation: 79-10=69 Current State: 76:[23, 73, 69], Operations: ['79-10=69'] Exploring Operation: 69/23=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 69/23=3 Current State: 76:[73, 3], Operations: ['79-10=69', '69/23=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 75, 11, 3, 49 ]
95
[ "11+49=60", "60/3=20", "75+20=95" ]
Current State: 95:[75, 11, 3, 49], Operations: [] Exploring Operation: 11+49=60, Resulting Numbers: [75, 3, 60] Generated Node #2: [75, 3, 60] from Operation: 11+49=60 Current State: 95:[75, 3, 60], Operations: ['11+49=60'] Exploring Operation: 60/3=20, Resulting Numbers: [75, 20] Generated Node #3: [75, 20] from Operation: 60/3=20 Current State: 95:[75, 20], Operations: ['11+49=60', '60/3=20'] Exploring Operation: 75+20=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 18, 70, 64, 10 ]
98
[ "70-64=6", "18*6=108", "108-10=98" ]
Current State: 98:[18, 70, 64, 10], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [18, 10, 6] Generated Node #2: [18, 10, 6] from Operation: 70-64=6 Current State: 98:[18, 10, 6], Operations: ['70-64=6'] Exploring Operation: 18*6=108, Resulting Numbers: [10, 108] Generated Node #3: [10, 108] from Operation: 18*6=108 Current State: 98:[10, 108], Operations: ['70-64=6', '18*6=108'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 69, 67, 50, 68 ]
100
[ "69+67=136", "50*136=6800", "6800/68=100" ]
Current State: 100:[69, 67, 50, 68], Operations: [] Exploring Operation: 69+67=136, Resulting Numbers: [50, 68, 136] Generated Node #2: [50, 68, 136] from Operation: 69+67=136 Current State: 100:[50, 68, 136], Operations: ['69+67=136'] Exploring Operation: 50*136=6800, Resulting Numbers: [68, 6800] Generated Node #3: [68, 6800] from Operation: 50*136=6800 Current State: 100:[68, 6800], Operations: ['69+67=136', '50*136=6800'] Exploring Operation: 6800/68=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 93, 33, 87, 2 ]
36
[ "93-87=6", "6/2=3", "33+3=36" ]
Current State: 36:[93, 33, 87, 2], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [33, 2, 6] Generated Node #2: [33, 2, 6] from Operation: 93-87=6 Current State: 36:[33, 2, 6], Operations: ['93-87=6'] Exploring Operation: 6/2=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 6/2=3 Current State: 36:[33, 3], Operations: ['93-87=6', '6/2=3'] Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 84, 53, 82, 95 ]
40
[ "84+53=137", "82+95=177", "177-137=40" ]
Current State: 40:[84, 53, 82, 95], Operations: [] Exploring Operation: 84+53=137, Resulting Numbers: [82, 95, 137] Generated Node #2: [82, 95, 137] from Operation: 84+53=137 Current State: 40:[82, 95, 137], Operations: ['84+53=137'] Exploring Operation: 82+95=177, Resulting Numbers: [137, 177] Generated Node #3: [137, 177] from Operation: 82+95=177 Current State: 40:[137, 177], Operations: ['84+53=137', '82+95=177'] Exploring Operation: 177-137=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 50, 21, 56, 62 ]
47
[ "50+21=71", "56+62=118", "118-71=47" ]
Current State: 47:[50, 21, 56, 62], Operations: [] Exploring Operation: 50+21=71, Resulting Numbers: [56, 62, 71] Generated Node #2: [56, 62, 71] from Operation: 50+21=71 Current State: 47:[56, 62, 71], Operations: ['50+21=71'] Exploring Operation: 56+62=118, Resulting Numbers: [71, 118] Generated Node #3: [71, 118] from Operation: 56+62=118 Current State: 47:[71, 118], Operations: ['50+21=71', '56+62=118'] Exploring Operation: 118-71=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 41, 9, 55 ]
19
[ "55-41=14", "2*14=28", "28-9=19" ]
Current State: 19:[2, 41, 9, 55], Operations: [] Exploring Operation: 55-41=14, Resulting Numbers: [2, 9, 14] Generated Node #2: [2, 9, 14] from Operation: 55-41=14 Current State: 19:[2, 9, 14], Operations: ['55-41=14'] Exploring Operation: 2*14=28, Resulting Numbers: [9, 28] Generated Node #3: [9, 28] from Operation: 2*14=28 Current State: 19:[9, 28], Operations: ['55-41=14', '2*14=28'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 18, 90, 59 ]
47
[ "18-2=16", "90-59=31", "16+31=47" ]
Current State: 47:[2, 18, 90, 59], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [90, 59, 16] Generated Node #2: [90, 59, 16] from Operation: 18-2=16 Current State: 47:[90, 59, 16], Operations: ['18-2=16'] Exploring Operation: 90-59=31, Resulting Numbers: [16, 31] Generated Node #3: [16, 31] from Operation: 90-59=31 Current State: 47:[16, 31], Operations: ['18-2=16', '90-59=31'] Exploring Operation: 16+31=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 72, 76, 31, 48 ]
43
[ "76-72=4", "48/4=12", "31+12=43" ]
Current State: 43:[72, 76, 31, 48], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [31, 48, 4] Generated Node #2: [31, 48, 4] from Operation: 76-72=4 Current State: 43:[31, 48, 4], Operations: ['76-72=4'] Exploring Operation: 48/4=12, Resulting Numbers: [31, 12] Generated Node #3: [31, 12] from Operation: 48/4=12 Current State: 43:[31, 12], Operations: ['76-72=4', '48/4=12'] Exploring Operation: 31+12=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 66, 6, 86, 64 ]
14
[ "86-66=20", "64+20=84", "84/6=14" ]
Current State: 14:[66, 6, 86, 64], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [6, 64, 20] Generated Node #2: [6, 64, 20] from Operation: 86-66=20 Current State: 14:[6, 64, 20], Operations: ['86-66=20'] Exploring Operation: 64+20=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 64+20=84 Current State: 14:[6, 84], Operations: ['86-66=20', '64+20=84'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 8, 36, 21, 94 ]
38
[ "8*21=168", "36+94=130", "168-130=38" ]
Current State: 38:[8, 36, 21, 94], Operations: [] Exploring Operation: 8*21=168, Resulting Numbers: [36, 94, 168] Generated Node #2: [36, 94, 168] from Operation: 8*21=168 Current State: 38:[36, 94, 168], Operations: ['8*21=168'] Exploring Operation: 36+94=130, Resulting Numbers: [168, 130] Generated Node #3: [168, 130] from Operation: 36+94=130 Current State: 38:[168, 130], Operations: ['8*21=168', '36+94=130'] Exploring Operation: 168-130=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 87, 22, 25, 25 ]
22
[ "25-25=0", "87*0=0", "22+0=22" ]
Current State: 22:[87, 22, 25, 25], Operations: [] Exploring Operation: 25-25=0, Resulting Numbers: [87, 22, 0] Generated Node #2: [87, 22, 0] from Operation: 25-25=0 Current State: 22:[87, 22, 0], Operations: ['25-25=0'] Exploring Operation: 87*0=0, Resulting Numbers: [22, 0] Generated Node #3: [22, 0] from Operation: 87*0=0 Current State: 22:[22, 0], Operations: ['25-25=0', '87*0=0'] Exploring Operation: 22+0=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 66, 62, 76, 7 ]
73
[ "66-62=4", "76-7=69", "4+69=73" ]
Current State: 73:[66, 62, 76, 7], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [76, 7, 4] Generated Node #2: [76, 7, 4] from Operation: 66-62=4 Current State: 73:[76, 7, 4], Operations: ['66-62=4'] Exploring Operation: 76-7=69, Resulting Numbers: [4, 69] Generated Node #3: [4, 69] from Operation: 76-7=69 Current State: 73:[4, 69], Operations: ['66-62=4', '76-7=69'] Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 18, 16, 75, 3 ]
37
[ "18*3=54", "16+75=91", "91-54=37" ]
Current State: 37:[18, 16, 75, 3], Operations: [] Exploring Operation: 18*3=54, Resulting Numbers: [16, 75, 54] Generated Node #2: [16, 75, 54] from Operation: 18*3=54 Current State: 37:[16, 75, 54], Operations: ['18*3=54'] Exploring Operation: 16+75=91, Resulting Numbers: [54, 91] Generated Node #3: [54, 91] from Operation: 16+75=91 Current State: 37:[54, 91], Operations: ['18*3=54', '16+75=91'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 85, 7, 43, 61 ]
74
[ "85+7=92", "61-43=18", "92-18=74" ]
Current State: 74:[85, 7, 43, 61], Operations: [] Exploring Operation: 85+7=92, Resulting Numbers: [43, 61, 92] Generated Node #2: [43, 61, 92] from Operation: 85+7=92 Current State: 74:[43, 61, 92], Operations: ['85+7=92'] Exploring Operation: 61-43=18, Resulting Numbers: [92, 18] Generated Node #3: [92, 18] from Operation: 61-43=18 Current State: 74:[92, 18], Operations: ['85+7=92', '61-43=18'] Exploring Operation: 92-18=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 63, 43, 28, 98 ]
25
[ "63*28=1764", "1764/98=18", "43-18=25" ]
Current State: 25:[63, 43, 28, 98], Operations: [] Exploring Operation: 63*28=1764, Resulting Numbers: [43, 98, 1764] Generated Node #2: [43, 98, 1764] from Operation: 63*28=1764 Current State: 25:[43, 98, 1764], Operations: ['63*28=1764'] Exploring Operation: 1764/98=18, Resulting Numbers: [43, 18] Generated Node #3: [43, 18] from Operation: 1764/98=18 Current State: 25:[43, 18], Operations: ['63*28=1764', '1764/98=18'] Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4