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
[ 51, 15, 67, 98 ]
98
[ "51+15=66", "67-66=1", "98*1=98" ]
Current State: 98:[51, 15, 67, 98], Operations: [] Exploring Operation: 51+15=66, Resulting Numbers: [67, 98, 66] Generated Node #2: [67, 98, 66] from Operation: 51+15=66 Current State: 98:[67, 98, 66], Operations: ['51+15=66'] Exploring Operation: 67-66=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 67-66=1 Current State: 98:[98, 1], Operations: ['51+15=66', '67-66=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 64, 68, 83, 45 ]
70
[ "83+45=128", "128/64=2", "68+2=70" ]
Current State: 70:[64, 68, 83, 45], Operations: [] Exploring Operation: 83+45=128, Resulting Numbers: [64, 68, 128] Generated Node #2: [64, 68, 128] from Operation: 83+45=128 Current State: 70:[64, 68, 128], Operations: ['83+45=128'] Exploring Operation: 128/64=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 128/64=2 Current State: 70:[68, 2], Operations: ['83+45=128', '128/64=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 95, 21, 36, 1 ]
37
[ "95-21=74", "36+1=37", "74-37=37" ]
Current State: 37:[95, 21, 36, 1], Operations: [] Exploring Operation: 95-21=74, Resulting Numbers: [36, 1, 74] Generated Node #2: [36, 1, 74] from Operation: 95-21=74 Current State: 37:[36, 1, 74], Operations: ['95-21=74'] Exploring Operation: 36+1=37, Resulting Numbers: [74, 37] Generated Node #3: [74, 37] from Operation: 36+1=37 Current State: 37:[74, 37], Operations: ['95-21=74', '36+1=37'] Exploring Operation: 74-37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 98, 7, 14 ]
91
[ "98-83=15", "7*15=105", "105-14=91" ]
Current State: 91:[83, 98, 7, 14], Operations: [] Exploring Operation: 98-83=15, Resulting Numbers: [7, 14, 15] Generated Node #2: [7, 14, 15] from Operation: 98-83=15 Current State: 91:[7, 14, 15], Operations: ['98-83=15'] Exploring Operation: 7*15=105, Resulting Numbers: [14, 105] Generated Node #3: [14, 105] from Operation: 7*15=105 Current State: 91:[14, 105], Operations: ['98-83=15', '7*15=105'] Exploring Operation: 105-14=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 91, 96, 74, 94 ]
25
[ "96-91=5", "94-74=20", "5+20=25" ]
Current State: 25:[91, 96, 74, 94], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [74, 94, 5] Generated Node #2: [74, 94, 5] from Operation: 96-91=5 Current State: 25:[74, 94, 5], Operations: ['96-91=5'] Exploring Operation: 94-74=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 94-74=20 Current State: 25:[5, 20], Operations: ['96-91=5', '94-74=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 80, 12, 44 ]
43
[ "80-44=36", "36/12=3", "46-3=43" ]
Current State: 43:[46, 80, 12, 44], Operations: [] Exploring Operation: 80-44=36, Resulting Numbers: [46, 12, 36] Generated Node #2: [46, 12, 36] from Operation: 80-44=36 Current State: 43:[46, 12, 36], Operations: ['80-44=36'] Exploring Operation: 36/12=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 36/12=3 Current State: 43:[46, 3], Operations: ['80-44=36', '36/12=3'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 53, 74, 78 ]
45
[ "53-4=49", "78-74=4", "49-4=45" ]
Current State: 45:[4, 53, 74, 78], Operations: [] Exploring Operation: 53-4=49, Resulting Numbers: [74, 78, 49] Generated Node #2: [74, 78, 49] from Operation: 53-4=49 Current State: 45:[74, 78, 49], Operations: ['53-4=49'] Exploring Operation: 78-74=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 78-74=4 Current State: 45:[49, 4], Operations: ['53-4=49', '78-74=4'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 47, 31, 80, 55 ]
53
[ "47+31=78", "80-55=25", "78-25=53" ]
Current State: 53:[47, 31, 80, 55], Operations: [] Exploring Operation: 47+31=78, Resulting Numbers: [80, 55, 78] Generated Node #2: [80, 55, 78] from Operation: 47+31=78 Current State: 53:[80, 55, 78], Operations: ['47+31=78'] Exploring Operation: 80-55=25, Resulting Numbers: [78, 25] Generated Node #3: [78, 25] from Operation: 80-55=25 Current State: 53:[78, 25], Operations: ['47+31=78', '80-55=25'] Exploring Operation: 78-25=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 10, 50, 67, 20 ]
52
[ "50/10=5", "67-20=47", "5+47=52" ]
Current State: 52:[10, 50, 67, 20], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [67, 20, 5] Generated Node #2: [67, 20, 5] from Operation: 50/10=5 Current State: 52:[67, 20, 5], Operations: ['50/10=5'] Exploring Operation: 67-20=47, Resulting Numbers: [5, 47] Generated Node #3: [5, 47] from Operation: 67-20=47 Current State: 52:[5, 47], Operations: ['50/10=5', '67-20=47'] Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 37, 87, 53 ]
35
[ "3*53=159", "37+87=124", "159-124=35" ]
Current State: 35:[3, 37, 87, 53], Operations: [] Exploring Operation: 3*53=159, Resulting Numbers: [37, 87, 159] Generated Node #2: [37, 87, 159] from Operation: 3*53=159 Current State: 35:[37, 87, 159], Operations: ['3*53=159'] Exploring Operation: 37+87=124, Resulting Numbers: [159, 124] Generated Node #3: [159, 124] from Operation: 37+87=124 Current State: 35:[159, 124], Operations: ['3*53=159', '37+87=124'] Exploring Operation: 159-124=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 9, 77, 94 ]
26
[ "77+94=171", "171/9=19", "7+19=26" ]
Current State: 26:[7, 9, 77, 94], Operations: [] Exploring Operation: 77+94=171, Resulting Numbers: [7, 9, 171] Generated Node #2: [7, 9, 171] from Operation: 77+94=171 Current State: 26:[7, 9, 171], Operations: ['77+94=171'] Exploring Operation: 171/9=19, Resulting Numbers: [7, 19] Generated Node #3: [7, 19] from Operation: 171/9=19 Current State: 26:[7, 19], Operations: ['77+94=171', '171/9=19'] Exploring Operation: 7+19=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 80, 2, 74, 77 ]
68
[ "80-77=3", "2*3=6", "74-6=68" ]
Current State: 68:[80, 2, 74, 77], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [2, 74, 3] Generated Node #2: [2, 74, 3] from Operation: 80-77=3 Current State: 68:[2, 74, 3], Operations: ['80-77=3'] Exploring Operation: 2*3=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 2*3=6 Current State: 68:[74, 6], Operations: ['80-77=3', '2*3=6'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 94, 74, 7 ]
70
[ "94-74=20", "20/2=10", "7*10=70" ]
Current State: 70:[2, 94, 74, 7], Operations: [] Exploring Operation: 94-74=20, Resulting Numbers: [2, 7, 20] Generated Node #2: [2, 7, 20] from Operation: 94-74=20 Current State: 70:[2, 7, 20], Operations: ['94-74=20'] Exploring Operation: 20/2=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 20/2=10 Current State: 70:[7, 10], Operations: ['94-74=20', '20/2=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 2, 39, 78 ]
84
[ "33+39=72", "2*78=156", "156-72=84" ]
Current State: 84:[33, 2, 39, 78], Operations: [] Exploring Operation: 33+39=72, Resulting Numbers: [2, 78, 72] Generated Node #2: [2, 78, 72] from Operation: 33+39=72 Current State: 84:[2, 78, 72], Operations: ['33+39=72'] Exploring Operation: 2*78=156, Resulting Numbers: [72, 156] Generated Node #3: [72, 156] from Operation: 2*78=156 Current State: 84:[72, 156], Operations: ['33+39=72', '2*78=156'] Exploring Operation: 156-72=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 90, 28, 67 ]
29
[ "90-22=68", "67-28=39", "68-39=29" ]
Current State: 29:[22, 90, 28, 67], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [28, 67, 68] Generated Node #2: [28, 67, 68] from Operation: 90-22=68 Current State: 29:[28, 67, 68], Operations: ['90-22=68'] Exploring Operation: 67-28=39, Resulting Numbers: [68, 39] Generated Node #3: [68, 39] from Operation: 67-28=39 Current State: 29:[68, 39], Operations: ['90-22=68', '67-28=39'] Exploring Operation: 68-39=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 50, 6, 52 ]
63
[ "50/10=5", "6+52=58", "5+58=63" ]
Current State: 63:[10, 50, 6, 52], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [6, 52, 5] Generated Node #2: [6, 52, 5] from Operation: 50/10=5 Current State: 63:[6, 52, 5], Operations: ['50/10=5'] Exploring Operation: 6+52=58, Resulting Numbers: [5, 58] Generated Node #3: [5, 58] from Operation: 6+52=58 Current State: 63:[5, 58], Operations: ['50/10=5', '6+52=58'] Exploring Operation: 5+58=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 7, 35, 9 ]
23
[ "7-4=3", "35-9=26", "26-3=23" ]
Current State: 23:[4, 7, 35, 9], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [35, 9, 3] Generated Node #2: [35, 9, 3] from Operation: 7-4=3 Current State: 23:[35, 9, 3], Operations: ['7-4=3'] Exploring Operation: 35-9=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 35-9=26 Current State: 23:[3, 26], Operations: ['7-4=3', '35-9=26'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 55, 99, 87 ]
52
[ "9+55=64", "99-87=12", "64-12=52" ]
Current State: 52:[9, 55, 99, 87], Operations: [] Exploring Operation: 9+55=64, Resulting Numbers: [99, 87, 64] Generated Node #2: [99, 87, 64] from Operation: 9+55=64 Current State: 52:[99, 87, 64], Operations: ['9+55=64'] Exploring Operation: 99-87=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 99-87=12 Current State: 52:[64, 12], Operations: ['9+55=64', '99-87=12'] Exploring Operation: 64-12=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 56, 52, 29, 43 ]
13
[ "43-29=14", "56/14=4", "52/4=13" ]
Current State: 13:[56, 52, 29, 43], Operations: [] Exploring Operation: 43-29=14, Resulting Numbers: [56, 52, 14] Generated Node #2: [56, 52, 14] from Operation: 43-29=14 Current State: 13:[56, 52, 14], Operations: ['43-29=14'] Exploring Operation: 56/14=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 56/14=4 Current State: 13:[52, 4], Operations: ['43-29=14', '56/14=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 24, 42, 99 ]
75
[ "50*99=4950", "24+42=66", "4950/66=75" ]
Current State: 75:[50, 24, 42, 99], Operations: [] Exploring Operation: 50*99=4950, Resulting Numbers: [24, 42, 4950] Generated Node #2: [24, 42, 4950] from Operation: 50*99=4950 Current State: 75:[24, 42, 4950], Operations: ['50*99=4950'] Exploring Operation: 24+42=66, Resulting Numbers: [4950, 66] Generated Node #3: [4950, 66] from Operation: 24+42=66 Current State: 75:[4950, 66], Operations: ['50*99=4950', '24+42=66'] Exploring Operation: 4950/66=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 76, 72, 27, 72 ]
36
[ "76-72=4", "27*4=108", "108-72=36" ]
Current State: 36:[76, 72, 27, 72], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [27, 4] Generated Node #2: [27, 4] from Operation: 76-72=4 Current State: 36:[27, 4], Operations: ['76-72=4'] Exploring Operation: 27*4=108, Resulting Numbers: [108] 108,36 equal: Goal Reached Exploring Operation: 108-72=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 12, 79, 53, 59 ]
70
[ "79+53=132", "132/12=11", "59+11=70" ]
Current State: 70:[12, 79, 53, 59], Operations: [] Exploring Operation: 79+53=132, Resulting Numbers: [12, 59, 132] Generated Node #2: [12, 59, 132] from Operation: 79+53=132 Current State: 70:[12, 59, 132], Operations: ['79+53=132'] Exploring Operation: 132/12=11, Resulting Numbers: [59, 11] Generated Node #3: [59, 11] from Operation: 132/12=11 Current State: 70:[59, 11], Operations: ['79+53=132', '132/12=11'] Exploring Operation: 59+11=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 4, 36, 86, 4 ]
42
[ "4+36=40", "86-4=82", "82-40=42" ]
Current State: 42:[4, 36, 86, 4], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [86, 40] Generated Node #2: [86, 40] from Operation: 4+36=40 Current State: 42:[86, 40], Operations: ['4+36=40'] Exploring Operation: 86-4=82, Resulting Numbers: [40, 82] Generated Node #3: [40, 82] from Operation: 86-4=82 Current State: 42:[40, 82], Operations: ['4+36=40', '86-4=82'] Exploring Operation: 82-40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 78, 82, 76, 7 ]
87
[ "82-78=4", "76+7=83", "4+83=87" ]
Current State: 87:[78, 82, 76, 7], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [76, 7, 4] Generated Node #2: [76, 7, 4] from Operation: 82-78=4 Current State: 87:[76, 7, 4], Operations: ['82-78=4'] Exploring Operation: 76+7=83, Resulting Numbers: [4, 83] Generated Node #3: [4, 83] from Operation: 76+7=83 Current State: 87:[4, 83], Operations: ['82-78=4', '76+7=83'] Exploring Operation: 4+83=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 40, 4, 36, 68 ]
48
[ "68-36=32", "32/4=8", "40+8=48" ]
Current State: 48:[40, 4, 36, 68], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [40, 4, 32] Generated Node #2: [40, 4, 32] from Operation: 68-36=32 Current State: 48:[40, 4, 32], Operations: ['68-36=32'] Exploring Operation: 32/4=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 32/4=8 Current State: 48:[40, 8], Operations: ['68-36=32', '32/4=8'] Exploring Operation: 40+8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 36, 53, 66, 17 ]
65
[ "53-36=17", "17/17=1", "66-1=65" ]
Current State: 65:[36, 53, 66, 17], Operations: [] Exploring Operation: 53-36=17, Resulting Numbers: [66, 17, 17] Generated Node #2: [66, 17, 17] from Operation: 53-36=17 Current State: 65:[66, 17, 17], Operations: ['53-36=17'] Exploring Operation: 17/17=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 17/17=1 Current State: 65:[66, 1], Operations: ['53-36=17', '17/17=1'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 48, 78, 14, 2 ]
26
[ "14+2=16", "48/16=3", "78/3=26" ]
Current State: 26:[48, 78, 14, 2], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [48, 78, 16] Generated Node #2: [48, 78, 16] from Operation: 14+2=16 Current State: 26:[48, 78, 16], Operations: ['14+2=16'] Exploring Operation: 48/16=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 48/16=3 Current State: 26:[78, 3], Operations: ['14+2=16', '48/16=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 28, 23, 6, 4 ]
96
[ "28/4=7", "23-7=16", "6*16=96" ]
Current State: 96:[28, 23, 6, 4], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [23, 6, 7] Generated Node #2: [23, 6, 7] from Operation: 28/4=7 Current State: 96:[23, 6, 7], Operations: ['28/4=7'] Exploring Operation: 23-7=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 23-7=16 Current State: 96:[6, 16], Operations: ['28/4=7', '23-7=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 64, 67, 42, 41 ]
27
[ "67-64=3", "42/3=14", "41-14=27" ]
Current State: 27:[64, 67, 42, 41], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [42, 41, 3] Generated Node #2: [42, 41, 3] from Operation: 67-64=3 Current State: 27:[42, 41, 3], Operations: ['67-64=3'] Exploring Operation: 42/3=14, Resulting Numbers: [41, 14] Generated Node #3: [41, 14] from Operation: 42/3=14 Current State: 27:[41, 14], Operations: ['67-64=3', '42/3=14'] Exploring Operation: 41-14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 88, 97, 82 ]
86
[ "90-82=8", "88/8=11", "97-11=86" ]
Current State: 86:[90, 88, 97, 82], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [88, 97, 8] Generated Node #2: [88, 97, 8] from Operation: 90-82=8 Current State: 86:[88, 97, 8], Operations: ['90-82=8'] Exploring Operation: 88/8=11, Resulting Numbers: [97, 11] Generated Node #3: [97, 11] from Operation: 88/8=11 Current State: 86:[97, 11], Operations: ['90-82=8', '88/8=11'] Exploring Operation: 97-11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 68, 8, 93 ]
65
[ "88-68=20", "93-8=85", "85-20=65" ]
Current State: 65:[88, 68, 8, 93], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [8, 93, 20] Generated Node #2: [8, 93, 20] from Operation: 88-68=20 Current State: 65:[8, 93, 20], Operations: ['88-68=20'] Exploring Operation: 93-8=85, Resulting Numbers: [20, 85] Generated Node #3: [20, 85] from Operation: 93-8=85 Current State: 65:[20, 85], Operations: ['88-68=20', '93-8=85'] Exploring Operation: 85-20=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 51, 81, 50 ]
89
[ "7+51=58", "81-50=31", "58+31=89" ]
Current State: 89:[7, 51, 81, 50], Operations: [] Exploring Operation: 7+51=58, Resulting Numbers: [81, 50, 58] Generated Node #2: [81, 50, 58] from Operation: 7+51=58 Current State: 89:[81, 50, 58], Operations: ['7+51=58'] Exploring Operation: 81-50=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 81-50=31 Current State: 89:[58, 31], Operations: ['7+51=58', '81-50=31'] Exploring Operation: 58+31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 12, 4, 20, 21 ]
16
[ "12+4=16", "21-20=1", "16*1=16" ]
Current State: 16:[12, 4, 20, 21], Operations: [] Exploring Operation: 12+4=16, Resulting Numbers: [20, 21, 16] Generated Node #2: [20, 21, 16] from Operation: 12+4=16 Current State: 16:[20, 21, 16], Operations: ['12+4=16'] Exploring Operation: 21-20=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 21-20=1 Current State: 16:[16, 1], Operations: ['12+4=16', '21-20=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 68, 13, 92, 58 ]
11
[ "92-58=34", "68/34=2", "13-2=11" ]
Current State: 11:[68, 13, 92, 58], Operations: [] Exploring Operation: 92-58=34, Resulting Numbers: [68, 13, 34] Generated Node #2: [68, 13, 34] from Operation: 92-58=34 Current State: 11:[68, 13, 34], Operations: ['92-58=34'] Exploring Operation: 68/34=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 68/34=2 Current State: 11:[13, 2], Operations: ['92-58=34', '68/34=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 43, 75, 14, 56 ]
36
[ "75-43=32", "56/14=4", "32+4=36" ]
Current State: 36:[43, 75, 14, 56], Operations: [] Exploring Operation: 75-43=32, Resulting Numbers: [14, 56, 32] Generated Node #2: [14, 56, 32] from Operation: 75-43=32 Current State: 36:[14, 56, 32], Operations: ['75-43=32'] Exploring Operation: 56/14=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 56/14=4 Current State: 36:[32, 4], Operations: ['75-43=32', '56/14=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 29, 13, 8, 4 ]
79
[ "29-4=25", "13*8=104", "104-25=79" ]
Current State: 79:[29, 13, 8, 4], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [13, 8, 25] Generated Node #2: [13, 8, 25] from Operation: 29-4=25 Current State: 79:[13, 8, 25], Operations: ['29-4=25'] Exploring Operation: 13*8=104, Resulting Numbers: [25, 104] Generated Node #3: [25, 104] from Operation: 13*8=104 Current State: 79:[25, 104], Operations: ['29-4=25', '13*8=104'] Exploring Operation: 104-25=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 17, 10, 80, 75 ]
18
[ "17*80=1360", "1360-10=1350", "1350/75=18" ]
Current State: 18:[17, 10, 80, 75], Operations: [] Exploring Operation: 17*80=1360, Resulting Numbers: [10, 75, 1360] Generated Node #2: [10, 75, 1360] from Operation: 17*80=1360 Current State: 18:[10, 75, 1360], Operations: ['17*80=1360'] Exploring Operation: 1360-10=1350, Resulting Numbers: [75, 1350] Generated Node #3: [75, 1350] from Operation: 1360-10=1350 Current State: 18:[75, 1350], Operations: ['17*80=1360', '1360-10=1350'] Exploring Operation: 1350/75=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 19, 13, 11, 82 ]
55
[ "13+82=95", "95/19=5", "11*5=55" ]
Current State: 55:[19, 13, 11, 82], Operations: [] Exploring Operation: 13+82=95, Resulting Numbers: [19, 11, 95] Generated Node #2: [19, 11, 95] from Operation: 13+82=95 Current State: 55:[19, 11, 95], Operations: ['13+82=95'] Exploring Operation: 95/19=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 95/19=5 Current State: 55:[11, 5], Operations: ['13+82=95', '95/19=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 34, 39, 37, 24 ]
82
[ "39-37=2", "24*2=48", "34+48=82" ]
Current State: 82:[34, 39, 37, 24], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [34, 24, 2] Generated Node #2: [34, 24, 2] from Operation: 39-37=2 Current State: 82:[34, 24, 2], Operations: ['39-37=2'] Exploring Operation: 24*2=48, Resulting Numbers: [34, 48] Generated Node #3: [34, 48] from Operation: 24*2=48 Current State: 82:[34, 48], Operations: ['39-37=2', '24*2=48'] Exploring Operation: 34+48=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 87, 9, 54 ]
87
[ "54/9=6", "6-5=1", "87*1=87" ]
Current State: 87:[5, 87, 9, 54], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [5, 87, 6] Generated Node #2: [5, 87, 6] from Operation: 54/9=6 Current State: 87:[5, 87, 6], Operations: ['54/9=6'] Exploring Operation: 6-5=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 6-5=1 Current State: 87:[87, 1], Operations: ['54/9=6', '6-5=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 88, 90, 62, 59 ]
94
[ "88*62=5456", "90+5456=5546", "5546/59=94" ]
Current State: 94:[88, 90, 62, 59], Operations: [] Exploring Operation: 88*62=5456, Resulting Numbers: [90, 59, 5456] Generated Node #2: [90, 59, 5456] from Operation: 88*62=5456 Current State: 94:[90, 59, 5456], Operations: ['88*62=5456'] Exploring Operation: 90+5456=5546, Resulting Numbers: [59, 5546] Generated Node #3: [59, 5546] from Operation: 90+5456=5546 Current State: 94:[59, 5546], Operations: ['88*62=5456', '90+5456=5546'] Exploring Operation: 5546/59=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 19, 28, 4, 5 ]
43
[ "19*4=76", "28+5=33", "76-33=43" ]
Current State: 43:[19, 28, 4, 5], Operations: [] Exploring Operation: 19*4=76, Resulting Numbers: [28, 5, 76] Generated Node #2: [28, 5, 76] from Operation: 19*4=76 Current State: 43:[28, 5, 76], Operations: ['19*4=76'] Exploring Operation: 28+5=33, Resulting Numbers: [76, 33] Generated Node #3: [76, 33] from Operation: 28+5=33 Current State: 43:[76, 33], Operations: ['19*4=76', '28+5=33'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 28, 72, 43, 7 ]
33
[ "43-28=15", "7*15=105", "105-72=33" ]
Current State: 33:[28, 72, 43, 7], Operations: [] Exploring Operation: 43-28=15, Resulting Numbers: [72, 7, 15] Generated Node #2: [72, 7, 15] from Operation: 43-28=15 Current State: 33:[72, 7, 15], Operations: ['43-28=15'] Exploring Operation: 7*15=105, Resulting Numbers: [72, 105] Generated Node #3: [72, 105] from Operation: 7*15=105 Current State: 33:[72, 105], Operations: ['43-28=15', '7*15=105'] Exploring Operation: 105-72=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 44, 46, 17 ]
18
[ "3+44=47", "46-17=29", "47-29=18" ]
Current State: 18:[3, 44, 46, 17], Operations: [] Exploring Operation: 3+44=47, Resulting Numbers: [46, 17, 47] Generated Node #2: [46, 17, 47] from Operation: 3+44=47 Current State: 18:[46, 17, 47], Operations: ['3+44=47'] Exploring Operation: 46-17=29, Resulting Numbers: [47, 29] Generated Node #3: [47, 29] from Operation: 46-17=29 Current State: 18:[47, 29], Operations: ['3+44=47', '46-17=29'] Exploring Operation: 47-29=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 76, 57, 14, 40 ]
16
[ "57*40=2280", "2280/76=30", "30-14=16" ]
Current State: 16:[76, 57, 14, 40], Operations: [] Exploring Operation: 57*40=2280, Resulting Numbers: [76, 14, 2280] Generated Node #2: [76, 14, 2280] from Operation: 57*40=2280 Current State: 16:[76, 14, 2280], Operations: ['57*40=2280'] Exploring Operation: 2280/76=30, Resulting Numbers: [14, 30] Generated Node #3: [14, 30] from Operation: 2280/76=30 Current State: 16:[14, 30], Operations: ['57*40=2280', '2280/76=30'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 80, 66, 8, 6 ]
82
[ "80/8=10", "66+6=72", "10+72=82" ]
Current State: 82:[80, 66, 8, 6], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [66, 6, 10] Generated Node #2: [66, 6, 10] from Operation: 80/8=10 Current State: 82:[66, 6, 10], Operations: ['80/8=10'] Exploring Operation: 66+6=72, Resulting Numbers: [10, 72] Generated Node #3: [10, 72] from Operation: 66+6=72 Current State: 82:[10, 72], Operations: ['80/8=10', '66+6=72'] Exploring Operation: 10+72=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 18, 89, 51, 40 ]
96
[ "18+89=107", "51-40=11", "107-11=96" ]
Current State: 96:[18, 89, 51, 40], Operations: [] Exploring Operation: 18+89=107, Resulting Numbers: [51, 40, 107] Generated Node #2: [51, 40, 107] from Operation: 18+89=107 Current State: 96:[51, 40, 107], Operations: ['18+89=107'] Exploring Operation: 51-40=11, Resulting Numbers: [107, 11] Generated Node #3: [107, 11] from Operation: 51-40=11 Current State: 96:[107, 11], Operations: ['18+89=107', '51-40=11'] Exploring Operation: 107-11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 62, 20, 80, 93 ]
95
[ "62+20=82", "93-80=13", "82+13=95" ]
Current State: 95:[62, 20, 80, 93], Operations: [] Exploring Operation: 62+20=82, Resulting Numbers: [80, 93, 82] Generated Node #2: [80, 93, 82] from Operation: 62+20=82 Current State: 95:[80, 93, 82], Operations: ['62+20=82'] Exploring Operation: 93-80=13, Resulting Numbers: [82, 13] Generated Node #3: [82, 13] from Operation: 93-80=13 Current State: 95:[82, 13], Operations: ['62+20=82', '93-80=13'] Exploring Operation: 82+13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 95, 3, 19, 17 ]
70
[ "95/19=5", "17-3=14", "5*14=70" ]
Current State: 70:[95, 3, 19, 17], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [3, 17, 5] Generated Node #2: [3, 17, 5] from Operation: 95/19=5 Current State: 70:[3, 17, 5], Operations: ['95/19=5'] Exploring Operation: 17-3=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 17-3=14 Current State: 70:[5, 14], Operations: ['95/19=5', '17-3=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 46, 57, 48, 21 ]
80
[ "57-46=11", "48+21=69", "11+69=80" ]
Current State: 80:[46, 57, 48, 21], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [48, 21, 11] Generated Node #2: [48, 21, 11] from Operation: 57-46=11 Current State: 80:[48, 21, 11], Operations: ['57-46=11'] Exploring Operation: 48+21=69, Resulting Numbers: [11, 69] Generated Node #3: [11, 69] from Operation: 48+21=69 Current State: 80:[11, 69], Operations: ['57-46=11', '48+21=69'] Exploring Operation: 11+69=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 39, 69, 23 ]
12
[ "17*69=1173", "1173/23=51", "51-39=12" ]
Current State: 12:[17, 39, 69, 23], Operations: [] Exploring Operation: 17*69=1173, Resulting Numbers: [39, 23, 1173] Generated Node #2: [39, 23, 1173] from Operation: 17*69=1173 Current State: 12:[39, 23, 1173], Operations: ['17*69=1173'] Exploring Operation: 1173/23=51, Resulting Numbers: [39, 51] Generated Node #3: [39, 51] from Operation: 1173/23=51 Current State: 12:[39, 51], Operations: ['17*69=1173', '1173/23=51'] Exploring Operation: 51-39=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 1, 94, 41 ]
38
[ "98-1=97", "94+41=135", "135-97=38" ]
Current State: 38:[98, 1, 94, 41], Operations: [] Exploring Operation: 98-1=97, Resulting Numbers: [94, 41, 97] Generated Node #2: [94, 41, 97] from Operation: 98-1=97 Current State: 38:[94, 41, 97], Operations: ['98-1=97'] Exploring Operation: 94+41=135, Resulting Numbers: [97, 135] Generated Node #3: [97, 135] from Operation: 94+41=135 Current State: 38:[97, 135], Operations: ['98-1=97', '94+41=135'] Exploring Operation: 135-97=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 97, 3, 71, 61 ]
55
[ "97+61=158", "3*71=213", "213-158=55" ]
Current State: 55:[97, 3, 71, 61], Operations: [] Exploring Operation: 97+61=158, Resulting Numbers: [3, 71, 158] Generated Node #2: [3, 71, 158] from Operation: 97+61=158 Current State: 55:[3, 71, 158], Operations: ['97+61=158'] Exploring Operation: 3*71=213, Resulting Numbers: [158, 213] Generated Node #3: [158, 213] from Operation: 3*71=213 Current State: 55:[158, 213], Operations: ['97+61=158', '3*71=213'] Exploring Operation: 213-158=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 14, 75, 15 ]
28
[ "75/15=5", "7-5=2", "14*2=28" ]
Current State: 28:[7, 14, 75, 15], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [7, 14, 5] Generated Node #2: [7, 14, 5] from Operation: 75/15=5 Current State: 28:[7, 14, 5], Operations: ['75/15=5'] Exploring Operation: 7-5=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 7-5=2 Current State: 28:[14, 2], Operations: ['75/15=5', '7-5=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 9, 60, 62, 69 ]
19
[ "69-60=9", "9*9=81", "81-62=19" ]
Current State: 19:[9, 60, 62, 69], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [9, 62, 9] Generated Node #2: [9, 62, 9] from Operation: 69-60=9 Current State: 19:[9, 62, 9], Operations: ['69-60=9'] Exploring Operation: 9*9=81, Resulting Numbers: [62, 81] Generated Node #3: [62, 81] from Operation: 9*9=81 Current State: 19:[62, 81], Operations: ['69-60=9', '9*9=81'] Exploring Operation: 81-62=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 96, 19, 21, 27 ]
72
[ "27-19=8", "21*8=168", "168-96=72" ]
Current State: 72:[96, 19, 21, 27], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [96, 21, 8] Generated Node #2: [96, 21, 8] from Operation: 27-19=8 Current State: 72:[96, 21, 8], Operations: ['27-19=8'] Exploring Operation: 21*8=168, Resulting Numbers: [96, 168] Generated Node #3: [96, 168] from Operation: 21*8=168 Current State: 72:[96, 168], Operations: ['27-19=8', '21*8=168'] Exploring Operation: 168-96=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 41, 78, 61 ]
88
[ "61-41=20", "20/2=10", "78+10=88" ]
Current State: 88:[2, 41, 78, 61], Operations: [] Exploring Operation: 61-41=20, Resulting Numbers: [2, 78, 20] Generated Node #2: [2, 78, 20] from Operation: 61-41=20 Current State: 88:[2, 78, 20], Operations: ['61-41=20'] Exploring Operation: 20/2=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 20/2=10 Current State: 88:[78, 10], Operations: ['61-41=20', '20/2=10'] Exploring Operation: 78+10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 53, 49, 31, 89 ]
44
[ "53+49=102", "89-31=58", "102-58=44" ]
Current State: 44:[53, 49, 31, 89], Operations: [] Exploring Operation: 53+49=102, Resulting Numbers: [31, 89, 102] Generated Node #2: [31, 89, 102] from Operation: 53+49=102 Current State: 44:[31, 89, 102], Operations: ['53+49=102'] Exploring Operation: 89-31=58, Resulting Numbers: [102, 58] Generated Node #3: [102, 58] from Operation: 89-31=58 Current State: 44:[102, 58], Operations: ['53+49=102', '89-31=58'] Exploring Operation: 102-58=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 30, 19, 25 ]
50
[ "47-30=17", "19-17=2", "25*2=50" ]
Current State: 50:[47, 30, 19, 25], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [19, 25, 17] Generated Node #2: [19, 25, 17] from Operation: 47-30=17 Current State: 50:[19, 25, 17], Operations: ['47-30=17'] Exploring Operation: 19-17=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 19-17=2 Current State: 50:[25, 2], Operations: ['47-30=17', '19-17=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 89, 20, 52 ]
18
[ "89-39=50", "52-20=32", "50-32=18" ]
Current State: 18:[39, 89, 20, 52], Operations: [] Exploring Operation: 89-39=50, Resulting Numbers: [20, 52, 50] Generated Node #2: [20, 52, 50] from Operation: 89-39=50 Current State: 18:[20, 52, 50], Operations: ['89-39=50'] Exploring Operation: 52-20=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 52-20=32 Current State: 18:[50, 32], Operations: ['89-39=50', '52-20=32'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 74, 66, 73, 93 ]
27
[ "74-73=1", "93-66=27", "1*27=27" ]
Current State: 27:[74, 66, 73, 93], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [66, 93, 1] Generated Node #2: [66, 93, 1] from Operation: 74-73=1 Current State: 27:[66, 93, 1], Operations: ['74-73=1'] Exploring Operation: 93-66=27, Resulting Numbers: [1, 27] Generated Node #3: [1, 27] from Operation: 93-66=27 Current State: 27:[1, 27], Operations: ['74-73=1', '93-66=27'] Exploring Operation: 1*27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 31, 82, 10, 72 ]
36
[ "31+10=41", "82/41=2", "72/2=36" ]
Current State: 36:[31, 82, 10, 72], Operations: [] Exploring Operation: 31+10=41, Resulting Numbers: [82, 72, 41] Generated Node #2: [82, 72, 41] from Operation: 31+10=41 Current State: 36:[82, 72, 41], Operations: ['31+10=41'] Exploring Operation: 82/41=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 82/41=2 Current State: 36:[72, 2], Operations: ['31+10=41', '82/41=2'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 48, 79, 50 ]
33
[ "48+48=96", "79+50=129", "129-96=33" ]
Current State: 33:[48, 48, 79, 50], Operations: [] Exploring Operation: 48+48=96, Resulting Numbers: [79, 50, 96] Generated Node #2: [79, 50, 96] from Operation: 48+48=96 Current State: 33:[79, 50, 96], Operations: ['48+48=96'] Exploring Operation: 79+50=129, Resulting Numbers: [96, 129] Generated Node #3: [96, 129] from Operation: 79+50=129 Current State: 33:[96, 129], Operations: ['48+48=96', '79+50=129'] Exploring Operation: 129-96=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 54, 96, 32, 4 ]
88
[ "54*4=216", "96+32=128", "216-128=88" ]
Current State: 88:[54, 96, 32, 4], Operations: [] Exploring Operation: 54*4=216, Resulting Numbers: [96, 32, 216] Generated Node #2: [96, 32, 216] from Operation: 54*4=216 Current State: 88:[96, 32, 216], Operations: ['54*4=216'] Exploring Operation: 96+32=128, Resulting Numbers: [216, 128] Generated Node #3: [216, 128] from Operation: 96+32=128 Current State: 88:[216, 128], Operations: ['54*4=216', '96+32=128'] Exploring Operation: 216-128=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 19, 3, 76, 17 ]
24
[ "76/19=4", "3+17=20", "4+20=24" ]
Current State: 24:[19, 3, 76, 17], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [3, 17, 4] Generated Node #2: [3, 17, 4] from Operation: 76/19=4 Current State: 24:[3, 17, 4], Operations: ['76/19=4'] Exploring Operation: 3+17=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 3+17=20 Current State: 24:[4, 20], Operations: ['76/19=4', '3+17=20'] Exploring Operation: 4+20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 32, 20, 36 ]
41
[ "32-20=12", "60/12=5", "36+5=41" ]
Current State: 41:[60, 32, 20, 36], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [60, 36, 12] Generated Node #2: [60, 36, 12] from Operation: 32-20=12 Current State: 41:[60, 36, 12], Operations: ['32-20=12'] Exploring Operation: 60/12=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 60/12=5 Current State: 41:[36, 5], Operations: ['32-20=12', '60/12=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 17, 79, 13 ]
78
[ "17-3=14", "79+13=92", "92-14=78" ]
Current State: 78:[3, 17, 79, 13], Operations: [] Exploring Operation: 17-3=14, Resulting Numbers: [79, 13, 14] Generated Node #2: [79, 13, 14] from Operation: 17-3=14 Current State: 78:[79, 13, 14], Operations: ['17-3=14'] Exploring Operation: 79+13=92, Resulting Numbers: [14, 92] Generated Node #3: [14, 92] from Operation: 79+13=92 Current State: 78:[14, 92], Operations: ['17-3=14', '79+13=92'] Exploring Operation: 92-14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 29, 4, 23, 21 ]
23
[ "29-4=25", "23-21=2", "25-2=23" ]
Current State: 23:[29, 4, 23, 21], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [23, 21, 25] Generated Node #2: [23, 21, 25] from Operation: 29-4=25 Current State: 23:[23, 21, 25], Operations: ['29-4=25'] Exploring Operation: 23-21=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 23-21=2 Current State: 23:[25, 2], Operations: ['29-4=25', '23-21=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 21, 86, 74, 12 ]
22
[ "86-74=12", "12/12=1", "21+1=22" ]
Current State: 22:[21, 86, 74, 12], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [21, 12, 12] Generated Node #2: [21, 12, 12] from Operation: 86-74=12 Current State: 22:[21, 12, 12], Operations: ['86-74=12'] Exploring Operation: 12/12=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 12/12=1 Current State: 22:[21, 1], Operations: ['86-74=12', '12/12=1'] Exploring Operation: 21+1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 6, 53, 3 ]
94
[ "6-3=3", "53*3=159", "159-65=94" ]
Current State: 94:[65, 6, 53, 3], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [65, 53, 3] Generated Node #2: [65, 53, 3] from Operation: 6-3=3 Current State: 94:[65, 53, 3], Operations: ['6-3=3'] Exploring Operation: 53*3=159, Resulting Numbers: [65, 159] Generated Node #3: [65, 159] from Operation: 53*3=159 Current State: 94:[65, 159], Operations: ['6-3=3', '53*3=159'] Exploring Operation: 159-65=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 41, 4, 43, 69 ]
75
[ "41-4=37", "43+69=112", "112-37=75" ]
Current State: 75:[41, 4, 43, 69], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [43, 69, 37] Generated Node #2: [43, 69, 37] from Operation: 41-4=37 Current State: 75:[43, 69, 37], Operations: ['41-4=37'] Exploring Operation: 43+69=112, Resulting Numbers: [37, 112] Generated Node #3: [37, 112] from Operation: 43+69=112 Current State: 75:[37, 112], Operations: ['41-4=37', '43+69=112'] Exploring Operation: 112-37=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 42, 20, 63, 43 ]
62
[ "42*63=2646", "20+2646=2666", "2666/43=62" ]
Current State: 62:[42, 20, 63, 43], Operations: [] Exploring Operation: 42*63=2646, Resulting Numbers: [20, 43, 2646] Generated Node #2: [20, 43, 2646] from Operation: 42*63=2646 Current State: 62:[20, 43, 2646], Operations: ['42*63=2646'] Exploring Operation: 20+2646=2666, Resulting Numbers: [43, 2666] Generated Node #3: [43, 2666] from Operation: 20+2646=2666 Current State: 62:[43, 2666], Operations: ['42*63=2646', '20+2646=2666'] Exploring Operation: 2666/43=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 17, 36, 10, 94 ]
51
[ "17+36=53", "10+94=104", "104-53=51" ]
Current State: 51:[17, 36, 10, 94], Operations: [] Exploring Operation: 17+36=53, Resulting Numbers: [10, 94, 53] Generated Node #2: [10, 94, 53] from Operation: 17+36=53 Current State: 51:[10, 94, 53], Operations: ['17+36=53'] Exploring Operation: 10+94=104, Resulting Numbers: [53, 104] Generated Node #3: [53, 104] from Operation: 10+94=104 Current State: 51:[53, 104], Operations: ['17+36=53', '10+94=104'] Exploring Operation: 104-53=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 15, 91, 37 ]
88
[ "37-32=5", "15/5=3", "91-3=88" ]
Current State: 88:[32, 15, 91, 37], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [15, 91, 5] Generated Node #2: [15, 91, 5] from Operation: 37-32=5 Current State: 88:[15, 91, 5], Operations: ['37-32=5'] Exploring Operation: 15/5=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 15/5=3 Current State: 88:[91, 3], Operations: ['37-32=5', '15/5=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 51, 49, 79, 10 ]
67
[ "51-49=2", "79-10=69", "69-2=67" ]
Current State: 67:[51, 49, 79, 10], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [79, 10, 2] Generated Node #2: [79, 10, 2] from Operation: 51-49=2 Current State: 67:[79, 10, 2], Operations: ['51-49=2'] Exploring Operation: 79-10=69, Resulting Numbers: [2, 69] Generated Node #3: [2, 69] from Operation: 79-10=69 Current State: 67:[2, 69], Operations: ['51-49=2', '79-10=69'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 14, 70, 62 ]
94
[ "70-62=8", "10*8=80", "14+80=94" ]
Current State: 94:[10, 14, 70, 62], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [10, 14, 8] Generated Node #2: [10, 14, 8] from Operation: 70-62=8 Current State: 94:[10, 14, 8], Operations: ['70-62=8'] Exploring Operation: 10*8=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 10*8=80 Current State: 94:[14, 80], Operations: ['70-62=8', '10*8=80'] Exploring Operation: 14+80=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 86, 84, 4 ]
64
[ "86-81=5", "4*5=20", "84-20=64" ]
Current State: 64:[81, 86, 84, 4], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [84, 4, 5] Generated Node #2: [84, 4, 5] from Operation: 86-81=5 Current State: 64:[84, 4, 5], Operations: ['86-81=5'] Exploring Operation: 4*5=20, Resulting Numbers: [84, 20] Generated Node #3: [84, 20] from Operation: 4*5=20 Current State: 64:[84, 20], Operations: ['86-81=5', '4*5=20'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 15, 99, 49, 41 ]
92
[ "99-15=84", "49-41=8", "84+8=92" ]
Current State: 92:[15, 99, 49, 41], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [49, 41, 84] Generated Node #2: [49, 41, 84] from Operation: 99-15=84 Current State: 92:[49, 41, 84], Operations: ['99-15=84'] Exploring Operation: 49-41=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 49-41=8 Current State: 92:[84, 8], Operations: ['99-15=84', '49-41=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 85, 10, 90, 97 ]
95
[ "90-85=5", "10/5=2", "97-2=95" ]
Current State: 95:[85, 10, 90, 97], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [10, 97, 5] Generated Node #2: [10, 97, 5] from Operation: 90-85=5 Current State: 95:[10, 97, 5], Operations: ['90-85=5'] Exploring Operation: 10/5=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 10/5=2 Current State: 95:[97, 2], Operations: ['90-85=5', '10/5=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 42, 66, 14, 42 ]
53
[ "42/42=1", "66-14=52", "1+52=53" ]
Current State: 53:[42, 66, 14, 42], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [66, 14, 1] Generated Node #2: [66, 14, 1] from Operation: 42/42=1 Current State: 53:[66, 14, 1], Operations: ['42/42=1'] Exploring Operation: 66-14=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 66-14=52 Current State: 53:[1, 52], Operations: ['42/42=1', '66-14=52'] Exploring Operation: 1+52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 1, 33, 17 ]
81
[ "3*33=99", "1+17=18", "99-18=81" ]
Current State: 81:[3, 1, 33, 17], Operations: [] Exploring Operation: 3*33=99, Resulting Numbers: [1, 17, 99] Generated Node #2: [1, 17, 99] from Operation: 3*33=99 Current State: 81:[1, 17, 99], Operations: ['3*33=99'] Exploring Operation: 1+17=18, Resulting Numbers: [99, 18] Generated Node #3: [99, 18] from Operation: 1+17=18 Current State: 81:[99, 18], Operations: ['3*33=99', '1+17=18'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 46, 55, 12, 76 ]
73
[ "55-46=9", "76-12=64", "9+64=73" ]
Current State: 73:[46, 55, 12, 76], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [12, 76, 9] Generated Node #2: [12, 76, 9] from Operation: 55-46=9 Current State: 73:[12, 76, 9], Operations: ['55-46=9'] Exploring Operation: 76-12=64, Resulting Numbers: [9, 64] Generated Node #3: [9, 64] from Operation: 76-12=64 Current State: 73:[9, 64], Operations: ['55-46=9', '76-12=64'] Exploring Operation: 9+64=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 2, 75, 24 ]
94
[ "31+75=106", "24/2=12", "106-12=94" ]
Current State: 94:[31, 2, 75, 24], Operations: [] Exploring Operation: 31+75=106, Resulting Numbers: [2, 24, 106] Generated Node #2: [2, 24, 106] from Operation: 31+75=106 Current State: 94:[2, 24, 106], Operations: ['31+75=106'] Exploring Operation: 24/2=12, Resulting Numbers: [106, 12] Generated Node #3: [106, 12] from Operation: 24/2=12 Current State: 94:[106, 12], Operations: ['31+75=106', '24/2=12'] Exploring Operation: 106-12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 92, 4, 1, 7 ]
33
[ "92+7=99", "4-1=3", "99/3=33" ]
Current State: 33:[92, 4, 1, 7], Operations: [] Exploring Operation: 92+7=99, Resulting Numbers: [4, 1, 99] Generated Node #2: [4, 1, 99] from Operation: 92+7=99 Current State: 33:[4, 1, 99], Operations: ['92+7=99'] Exploring Operation: 4-1=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 4-1=3 Current State: 33:[99, 3], Operations: ['92+7=99', '4-1=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 85, 10, 19, 55 ]
50
[ "85+10=95", "95/19=5", "55-5=50" ]
Current State: 50:[85, 10, 19, 55], Operations: [] Exploring Operation: 85+10=95, Resulting Numbers: [19, 55, 95] Generated Node #2: [19, 55, 95] from Operation: 85+10=95 Current State: 50:[19, 55, 95], Operations: ['85+10=95'] Exploring Operation: 95/19=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 95/19=5 Current State: 50:[55, 5], Operations: ['85+10=95', '95/19=5'] Exploring Operation: 55-5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 26, 30, 60, 55 ]
68
[ "26*30=780", "780/60=13", "55+13=68" ]
Current State: 68:[26, 30, 60, 55], Operations: [] Exploring Operation: 26*30=780, Resulting Numbers: [60, 55, 780] Generated Node #2: [60, 55, 780] from Operation: 26*30=780 Current State: 68:[60, 55, 780], Operations: ['26*30=780'] Exploring Operation: 780/60=13, Resulting Numbers: [55, 13] Generated Node #3: [55, 13] from Operation: 780/60=13 Current State: 68:[55, 13], Operations: ['26*30=780', '780/60=13'] Exploring Operation: 55+13=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 95, 37, 37, 67 ]
29
[ "95-67=28", "37/37=1", "28+1=29" ]
Current State: 29:[95, 37, 37, 67], Operations: [] Exploring Operation: 95-67=28, Resulting Numbers: [37, 37, 28] Generated Node #2: [37, 37, 28] from Operation: 95-67=28 Current State: 29:[37, 37, 28], Operations: ['95-67=28'] Exploring Operation: 37/37=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 37/37=1 Current State: 29:[28, 1], Operations: ['95-67=28', '37/37=1'] Exploring Operation: 28+1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 89, 98, 97, 2 ]
91
[ "89+2=91", "98-97=1", "91*1=91" ]
Current State: 91:[89, 98, 97, 2], Operations: [] Exploring Operation: 89+2=91, Resulting Numbers: [98, 97, 91] Generated Node #2: [98, 97, 91] from Operation: 89+2=91 Current State: 91:[98, 97, 91], Operations: ['89+2=91'] Exploring Operation: 98-97=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 98-97=1 Current State: 91:[91, 1], Operations: ['89+2=91', '98-97=1'] Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 34, 76, 24 ]
47
[ "39-34=5", "76-24=52", "52-5=47" ]
Current State: 47:[39, 34, 76, 24], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [76, 24, 5] Generated Node #2: [76, 24, 5] from Operation: 39-34=5 Current State: 47:[76, 24, 5], Operations: ['39-34=5'] Exploring Operation: 76-24=52, Resulting Numbers: [5, 52] Generated Node #3: [5, 52] from Operation: 76-24=52 Current State: 47:[5, 52], Operations: ['39-34=5', '76-24=52'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 8, 51, 93 ]
89
[ "51-49=2", "8/2=4", "93-4=89" ]
Current State: 89:[49, 8, 51, 93], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [8, 93, 2] Generated Node #2: [8, 93, 2] from Operation: 51-49=2 Current State: 89:[8, 93, 2], Operations: ['51-49=2'] Exploring Operation: 8/2=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 8/2=4 Current State: 89:[93, 4], Operations: ['51-49=2', '8/2=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 60, 6, 3 ]
49
[ "38+60=98", "6/3=2", "98/2=49" ]
Current State: 49:[38, 60, 6, 3], Operations: [] Exploring Operation: 38+60=98, Resulting Numbers: [6, 3, 98] Generated Node #2: [6, 3, 98] from Operation: 38+60=98 Current State: 49:[6, 3, 98], Operations: ['38+60=98'] Exploring Operation: 6/3=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 6/3=2 Current State: 49:[98, 2], Operations: ['38+60=98', '6/3=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 79, 48, 53 ]
35
[ "79-49=30", "53-48=5", "30+5=35" ]
Current State: 35:[49, 79, 48, 53], Operations: [] Exploring Operation: 79-49=30, Resulting Numbers: [48, 53, 30] Generated Node #2: [48, 53, 30] from Operation: 79-49=30 Current State: 35:[48, 53, 30], Operations: ['79-49=30'] Exploring Operation: 53-48=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 53-48=5 Current State: 35:[30, 5], Operations: ['79-49=30', '53-48=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 86, 2, 84 ]
37
[ "84-4=80", "86/2=43", "80-43=37" ]
Current State: 37:[4, 86, 2, 84], Operations: [] Exploring Operation: 84-4=80, Resulting Numbers: [86, 2, 80] Generated Node #2: [86, 2, 80] from Operation: 84-4=80 Current State: 37:[86, 2, 80], Operations: ['84-4=80'] Exploring Operation: 86/2=43, Resulting Numbers: [80, 43] Generated Node #3: [80, 43] from Operation: 86/2=43 Current State: 37:[80, 43], Operations: ['84-4=80', '86/2=43'] Exploring Operation: 80-43=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 75, 86, 58, 88 ]
34
[ "75-58=17", "88-86=2", "17*2=34" ]
Current State: 34:[75, 86, 58, 88], Operations: [] Exploring Operation: 75-58=17, Resulting Numbers: [86, 88, 17] Generated Node #2: [86, 88, 17] from Operation: 75-58=17 Current State: 34:[86, 88, 17], Operations: ['75-58=17'] Exploring Operation: 88-86=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 88-86=2 Current State: 34:[17, 2], Operations: ['75-58=17', '88-86=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 74, 29, 11, 3 ]
36
[ "74+3=77", "77/11=7", "29+7=36" ]
Current State: 36:[74, 29, 11, 3], Operations: [] Exploring Operation: 74+3=77, Resulting Numbers: [29, 11, 77] Generated Node #2: [29, 11, 77] from Operation: 74+3=77 Current State: 36:[29, 11, 77], Operations: ['74+3=77'] Exploring Operation: 77/11=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 77/11=7 Current State: 36:[29, 7], Operations: ['74+3=77', '77/11=7'] Exploring Operation: 29+7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 93, 45, 82 ]
26
[ "45/3=15", "93-82=11", "15+11=26" ]
Current State: 26:[3, 93, 45, 82], Operations: [] Exploring Operation: 45/3=15, Resulting Numbers: [93, 82, 15] Generated Node #2: [93, 82, 15] from Operation: 45/3=15 Current State: 26:[93, 82, 15], Operations: ['45/3=15'] Exploring Operation: 93-82=11, Resulting Numbers: [15, 11] Generated Node #3: [15, 11] from Operation: 93-82=11 Current State: 26:[15, 11], Operations: ['45/3=15', '93-82=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 35, 19, 7, 25 ]
48
[ "35-19=16", "7+25=32", "16+32=48" ]
Current State: 48:[35, 19, 7, 25], Operations: [] Exploring Operation: 35-19=16, Resulting Numbers: [7, 25, 16] Generated Node #2: [7, 25, 16] from Operation: 35-19=16 Current State: 48:[7, 25, 16], Operations: ['35-19=16'] Exploring Operation: 7+25=32, Resulting Numbers: [16, 32] Generated Node #3: [16, 32] from Operation: 7+25=32 Current State: 48:[16, 32], Operations: ['35-19=16', '7+25=32'] Exploring Operation: 16+32=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 18, 47, 37 ]
69
[ "18-3=15", "47+37=84", "84-15=69" ]
Current State: 69:[3, 18, 47, 37], Operations: [] Exploring Operation: 18-3=15, Resulting Numbers: [47, 37, 15] Generated Node #2: [47, 37, 15] from Operation: 18-3=15 Current State: 69:[47, 37, 15], Operations: ['18-3=15'] Exploring Operation: 47+37=84, Resulting Numbers: [15, 84] Generated Node #3: [15, 84] from Operation: 47+37=84 Current State: 69:[15, 84], Operations: ['18-3=15', '47+37=84'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 86, 4, 15 ]
44
[ "30+86=116", "116/4=29", "15+29=44" ]
Current State: 44:[30, 86, 4, 15], Operations: [] Exploring Operation: 30+86=116, Resulting Numbers: [4, 15, 116] Generated Node #2: [4, 15, 116] from Operation: 30+86=116 Current State: 44:[4, 15, 116], Operations: ['30+86=116'] Exploring Operation: 116/4=29, Resulting Numbers: [15, 29] Generated Node #3: [15, 29] from Operation: 116/4=29 Current State: 44:[15, 29], Operations: ['30+86=116', '116/4=29'] Exploring Operation: 15+29=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 73, 91, 49, 66 ]
84
[ "73-66=7", "49/7=7", "91-7=84" ]
Current State: 84:[73, 91, 49, 66], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [91, 49, 7] Generated Node #2: [91, 49, 7] from Operation: 73-66=7 Current State: 84:[91, 49, 7], Operations: ['73-66=7'] Exploring Operation: 49/7=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 49/7=7 Current State: 84:[91, 7], Operations: ['73-66=7', '49/7=7'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4