nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 47, 7, 84, 12 ]
96
[ "7*84=588", "588/12=49", "47+49=96" ]
Current State: 96:[47, 7, 84, 12], Operations: [] Exploring Operation: 7*84=588, Resulting Numbers: [47, 12, 588] Generated Node #2: [47, 12, 588] from Operation: 7*84=588 Current State: 96:[47, 12, 588], Operations: ['7*84=588'] Exploring Operation: 588/12=49, Resulting Numbers: [47, 49] Generated Node #3: [47, 49] from Operation: 588/12=49 Current State: 96:[47, 49], Operations: ['7*84=588', '588/12=49'] Exploring Operation: 47+49=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 17, 64, 90, 1 ]
44
[ "64-17=47", "90+1=91", "91-47=44" ]
Current State: 44:[17, 64, 90, 1], Operations: [] Exploring Operation: 64-17=47, Resulting Numbers: [90, 1, 47] Generated Node #2: [90, 1, 47] from Operation: 64-17=47 Current State: 44:[90, 1, 47], Operations: ['64-17=47'] Exploring Operation: 90+1=91, Resulting Numbers: [47, 91] Generated Node #3: [47, 91] from Operation: 90+1=91 Current State: 44:[47, 91], Operations: ['64-17=47', '90+1=91'] Exploring Operation: 91-47=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 95, 8, 92, 63 ]
52
[ "95+8=103", "92+63=155", "155-103=52" ]
Current State: 52:[95, 8, 92, 63], Operations: [] Exploring Operation: 95+8=103, Resulting Numbers: [92, 63, 103] Generated Node #2: [92, 63, 103] from Operation: 95+8=103 Current State: 52:[92, 63, 103], Operations: ['95+8=103'] Exploring Operation: 92+63=155, Resulting Numbers: [103, 155] Generated Node #3: [103, 155] from Operation: 92+63=155 Current State: 52:[103, 155], Operations: ['95+8=103', '92+63=155'] Exploring Operation: 155-103=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 33, 41, 34, 47 ]
98
[ "47-33=14", "41-34=7", "14*7=98" ]
Current State: 98:[33, 41, 34, 47], Operations: [] Exploring Operation: 47-33=14, Resulting Numbers: [41, 34, 14] Generated Node #2: [41, 34, 14] from Operation: 47-33=14 Current State: 98:[41, 34, 14], Operations: ['47-33=14'] Exploring Operation: 41-34=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 41-34=7 Current State: 98:[14, 7], Operations: ['47-33=14', '41-34=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 73, 68, 75, 12 ]
92
[ "73-68=5", "75+12=87", "5+87=92" ]
Current State: 92:[73, 68, 75, 12], Operations: [] Exploring Operation: 73-68=5, Resulting Numbers: [75, 12, 5] Generated Node #2: [75, 12, 5] from Operation: 73-68=5 Current State: 92:[75, 12, 5], Operations: ['73-68=5'] Exploring Operation: 75+12=87, Resulting Numbers: [5, 87] Generated Node #3: [5, 87] from Operation: 75+12=87 Current State: 92:[5, 87], Operations: ['73-68=5', '75+12=87'] Exploring Operation: 5+87=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 1, 53, 48 ]
60
[ "1+48=49", "49/7=7", "53+7=60" ]
Current State: 60:[7, 1, 53, 48], Operations: [] Exploring Operation: 1+48=49, Resulting Numbers: [7, 53, 49] Generated Node #2: [7, 53, 49] from Operation: 1+48=49 Current State: 60:[7, 53, 49], Operations: ['1+48=49'] Exploring Operation: 49/7=7, Resulting Numbers: [53, 7] Generated Node #3: [53, 7] from Operation: 49/7=7 Current State: 60:[53, 7], Operations: ['1+48=49', '49/7=7'] Exploring Operation: 53+7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 88, 12, 76, 87 ]
20
[ "87-76=11", "88/11=8", "12+8=20" ]
Current State: 20:[88, 12, 76, 87], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [88, 12, 11] Generated Node #2: [88, 12, 11] from Operation: 87-76=11 Current State: 20:[88, 12, 11], Operations: ['87-76=11'] Exploring Operation: 88/11=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 88/11=8 Current State: 20:[12, 8], Operations: ['87-76=11', '88/11=8'] Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 50, 60, 56 ]
20
[ "50-26=24", "60-56=4", "24-4=20" ]
Current State: 20:[26, 50, 60, 56], Operations: [] Exploring Operation: 50-26=24, Resulting Numbers: [60, 56, 24] Generated Node #2: [60, 56, 24] from Operation: 50-26=24 Current State: 20:[60, 56, 24], Operations: ['50-26=24'] Exploring Operation: 60-56=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 60-56=4 Current State: 20:[24, 4], Operations: ['50-26=24', '60-56=4'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 15, 84, 28 ]
79
[ "61+15=76", "84/28=3", "76+3=79" ]
Current State: 79:[61, 15, 84, 28], Operations: [] Exploring Operation: 61+15=76, Resulting Numbers: [84, 28, 76] Generated Node #2: [84, 28, 76] from Operation: 61+15=76 Current State: 79:[84, 28, 76], Operations: ['61+15=76'] Exploring Operation: 84/28=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 84/28=3 Current State: 79:[76, 3], Operations: ['61+15=76', '84/28=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 73, 92, 24, 90 ]
95
[ "92-73=19", "24+90=114", "114-19=95" ]
Current State: 95:[73, 92, 24, 90], Operations: [] Exploring Operation: 92-73=19, Resulting Numbers: [24, 90, 19] Generated Node #2: [24, 90, 19] from Operation: 92-73=19 Current State: 95:[24, 90, 19], Operations: ['92-73=19'] Exploring Operation: 24+90=114, Resulting Numbers: [19, 114] Generated Node #3: [19, 114] from Operation: 24+90=114 Current State: 95:[19, 114], Operations: ['92-73=19', '24+90=114'] Exploring Operation: 114-19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 81, 81, 87, 10 ]
21
[ "87-81=6", "10*6=60", "81-60=21" ]
Current State: 21:[81, 81, 87, 10], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [10, 6] Generated Node #2: [10, 6] from Operation: 87-81=6 Current State: 21:[10, 6], Operations: ['87-81=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,21 equal: Goal Reached Exploring Operation: 81-60=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 70, 76, 57 ]
99
[ "76-70=6", "7*6=42", "57+42=99" ]
Current State: 99:[7, 70, 76, 57], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [7, 57, 6] Generated Node #2: [7, 57, 6] from Operation: 76-70=6 Current State: 99:[7, 57, 6], Operations: ['76-70=6'] Exploring Operation: 7*6=42, Resulting Numbers: [57, 42] Generated Node #3: [57, 42] from Operation: 7*6=42 Current State: 99:[57, 42], Operations: ['76-70=6', '7*6=42'] Exploring Operation: 57+42=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 25, 80, 33, 63 ]
25
[ "80-25=55", "63-33=30", "55-30=25" ]
Current State: 25:[25, 80, 33, 63], Operations: [] Exploring Operation: 80-25=55, Resulting Numbers: [33, 63, 55] Generated Node #2: [33, 63, 55] from Operation: 80-25=55 Current State: 25:[33, 63, 55], Operations: ['80-25=55'] Exploring Operation: 63-33=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 63-33=30 Current State: 25:[55, 30], Operations: ['80-25=55', '63-33=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 10, 7, 13, 88 ]
49
[ "10-7=3", "13*3=39", "88-39=49" ]
Current State: 49:[10, 7, 13, 88], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [13, 88, 3] Generated Node #2: [13, 88, 3] from Operation: 10-7=3 Current State: 49:[13, 88, 3], Operations: ['10-7=3'] Exploring Operation: 13*3=39, Resulting Numbers: [88, 39] Generated Node #3: [88, 39] from Operation: 13*3=39 Current State: 49:[88, 39], Operations: ['10-7=3', '13*3=39'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 13, 82, 80 ]
100
[ "49+13=62", "82+80=162", "162-62=100" ]
Current State: 100:[49, 13, 82, 80], Operations: [] Exploring Operation: 49+13=62, Resulting Numbers: [82, 80, 62] Generated Node #2: [82, 80, 62] from Operation: 49+13=62 Current State: 100:[82, 80, 62], Operations: ['49+13=62'] Exploring Operation: 82+80=162, Resulting Numbers: [62, 162] Generated Node #3: [62, 162] from Operation: 82+80=162 Current State: 100:[62, 162], Operations: ['49+13=62', '82+80=162'] Exploring Operation: 162-62=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 52, 42, 52, 19 ]
61
[ "52+42=94", "52-19=33", "94-33=61" ]
Current State: 61:[52, 42, 52, 19], Operations: [] Exploring Operation: 52+42=94, Resulting Numbers: [19, 94] Generated Node #2: [19, 94] from Operation: 52+42=94 Current State: 61:[19, 94], Operations: ['52+42=94'] Exploring Operation: 52-19=33, Resulting Numbers: [94, 33] Generated Node #3: [94, 33] from Operation: 52-19=33 Current State: 61:[94, 33], Operations: ['52+42=94', '52-19=33'] Exploring Operation: 94-33=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 94, 11, 14, 18 ]
100
[ "14-11=3", "18/3=6", "94+6=100" ]
Current State: 100:[94, 11, 14, 18], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [94, 18, 3] Generated Node #2: [94, 18, 3] from Operation: 14-11=3 Current State: 100:[94, 18, 3], Operations: ['14-11=3'] Exploring Operation: 18/3=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 18/3=6 Current State: 100:[94, 6], Operations: ['14-11=3', '18/3=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 2, 3, 39 ]
14
[ "39-18=21", "2*21=42", "42/3=14" ]
Current State: 14:[18, 2, 3, 39], Operations: [] Exploring Operation: 39-18=21, Resulting Numbers: [2, 3, 21] Generated Node #2: [2, 3, 21] from Operation: 39-18=21 Current State: 14:[2, 3, 21], Operations: ['39-18=21'] Exploring Operation: 2*21=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 2*21=42 Current State: 14:[3, 42], Operations: ['39-18=21', '2*21=42'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 25, 60, 21 ]
52
[ "60/10=6", "25+21=46", "6+46=52" ]
Current State: 52:[10, 25, 60, 21], Operations: [] Exploring Operation: 60/10=6, Resulting Numbers: [25, 21, 6] Generated Node #2: [25, 21, 6] from Operation: 60/10=6 Current State: 52:[25, 21, 6], Operations: ['60/10=6'] Exploring Operation: 25+21=46, Resulting Numbers: [6, 46] Generated Node #3: [6, 46] from Operation: 25+21=46 Current State: 52:[6, 46], Operations: ['60/10=6', '25+21=46'] Exploring Operation: 6+46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 77, 59, 53, 11 ]
94
[ "77+59=136", "53-11=42", "136-42=94" ]
Current State: 94:[77, 59, 53, 11], Operations: [] Exploring Operation: 77+59=136, Resulting Numbers: [53, 11, 136] Generated Node #2: [53, 11, 136] from Operation: 77+59=136 Current State: 94:[53, 11, 136], Operations: ['77+59=136'] Exploring Operation: 53-11=42, Resulting Numbers: [136, 42] Generated Node #3: [136, 42] from Operation: 53-11=42 Current State: 94:[136, 42], Operations: ['77+59=136', '53-11=42'] Exploring Operation: 136-42=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 69, 91, 37 ]
86
[ "29*91=2639", "69*37=2553", "2639-2553=86" ]
Current State: 86:[29, 69, 91, 37], Operations: [] Exploring Operation: 29*91=2639, Resulting Numbers: [69, 37, 2639] Generated Node #2: [69, 37, 2639] from Operation: 29*91=2639 Current State: 86:[69, 37, 2639], Operations: ['29*91=2639'] Exploring Operation: 69*37=2553, Resulting Numbers: [2639, 2553] Generated Node #3: [2639, 2553] from Operation: 69*37=2553 Current State: 86:[2639, 2553], Operations: ['29*91=2639', '69*37=2553'] Exploring Operation: 2639-2553=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 2, 70, 27, 7 ]
73
[ "2+7=9", "27/9=3", "70+3=73" ]
Current State: 73:[2, 70, 27, 7], Operations: [] Exploring Operation: 2+7=9, Resulting Numbers: [70, 27, 9] Generated Node #2: [70, 27, 9] from Operation: 2+7=9 Current State: 73:[70, 27, 9], Operations: ['2+7=9'] Exploring Operation: 27/9=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 27/9=3 Current State: 73:[70, 3], Operations: ['2+7=9', '27/9=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 28, 98, 7, 50 ]
32
[ "28+98=126", "126/7=18", "50-18=32" ]
Current State: 32:[28, 98, 7, 50], Operations: [] Exploring Operation: 28+98=126, Resulting Numbers: [7, 50, 126] Generated Node #2: [7, 50, 126] from Operation: 28+98=126 Current State: 32:[7, 50, 126], Operations: ['28+98=126'] Exploring Operation: 126/7=18, Resulting Numbers: [50, 18] Generated Node #3: [50, 18] from Operation: 126/7=18 Current State: 32:[50, 18], Operations: ['28+98=126', '126/7=18'] Exploring Operation: 50-18=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 90, 60, 23, 21 ]
74
[ "90-60=30", "23+21=44", "30+44=74" ]
Current State: 74:[90, 60, 23, 21], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [23, 21, 30] Generated Node #2: [23, 21, 30] from Operation: 90-60=30 Current State: 74:[23, 21, 30], Operations: ['90-60=30'] Exploring Operation: 23+21=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 23+21=44 Current State: 74:[30, 44], Operations: ['90-60=30', '23+21=44'] Exploring Operation: 30+44=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 75, 5, 74 ]
72
[ "85-75=10", "10/5=2", "74-2=72" ]
Current State: 72:[85, 75, 5, 74], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [5, 74, 10] Generated Node #2: [5, 74, 10] from Operation: 85-75=10 Current State: 72:[5, 74, 10], Operations: ['85-75=10'] Exploring Operation: 10/5=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 10/5=2 Current State: 72:[74, 2], Operations: ['85-75=10', '10/5=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 21, 49, 28, 71 ]
83
[ "21*28=588", "588/49=12", "71+12=83" ]
Current State: 83:[21, 49, 28, 71], Operations: [] Exploring Operation: 21*28=588, Resulting Numbers: [49, 71, 588] Generated Node #2: [49, 71, 588] from Operation: 21*28=588 Current State: 83:[49, 71, 588], Operations: ['21*28=588'] Exploring Operation: 588/49=12, Resulting Numbers: [71, 12] Generated Node #3: [71, 12] from Operation: 588/49=12 Current State: 83:[71, 12], Operations: ['21*28=588', '588/49=12'] Exploring Operation: 71+12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 59, 96, 82, 98 ]
53
[ "96-59=37", "98-82=16", "37+16=53" ]
Current State: 53:[59, 96, 82, 98], Operations: [] Exploring Operation: 96-59=37, Resulting Numbers: [82, 98, 37] Generated Node #2: [82, 98, 37] from Operation: 96-59=37 Current State: 53:[82, 98, 37], Operations: ['96-59=37'] Exploring Operation: 98-82=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 98-82=16 Current State: 53:[37, 16], Operations: ['96-59=37', '98-82=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 99, 63, 10, 41 ]
77
[ "99+41=140", "140/10=14", "63+14=77" ]
Current State: 77:[99, 63, 10, 41], Operations: [] Exploring Operation: 99+41=140, Resulting Numbers: [63, 10, 140] Generated Node #2: [63, 10, 140] from Operation: 99+41=140 Current State: 77:[63, 10, 140], Operations: ['99+41=140'] Exploring Operation: 140/10=14, Resulting Numbers: [63, 14] Generated Node #3: [63, 14] from Operation: 140/10=14 Current State: 77:[63, 14], Operations: ['99+41=140', '140/10=14'] Exploring Operation: 63+14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 77, 96, 34, 70 ]
85
[ "96-77=19", "34+70=104", "104-19=85" ]
Current State: 85:[77, 96, 34, 70], Operations: [] Exploring Operation: 96-77=19, Resulting Numbers: [34, 70, 19] Generated Node #2: [34, 70, 19] from Operation: 96-77=19 Current State: 85:[34, 70, 19], Operations: ['96-77=19'] Exploring Operation: 34+70=104, Resulting Numbers: [19, 104] Generated Node #3: [19, 104] from Operation: 34+70=104 Current State: 85:[19, 104], Operations: ['96-77=19', '34+70=104'] Exploring Operation: 104-19=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 65, 81, 31, 93 ]
92
[ "81*31=2511", "2511/93=27", "65+27=92" ]
Current State: 92:[65, 81, 31, 93], Operations: [] Exploring Operation: 81*31=2511, Resulting Numbers: [65, 93, 2511] Generated Node #2: [65, 93, 2511] from Operation: 81*31=2511 Current State: 92:[65, 93, 2511], Operations: ['81*31=2511'] Exploring Operation: 2511/93=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 2511/93=27 Current State: 92:[65, 27], Operations: ['81*31=2511', '2511/93=27'] Exploring Operation: 65+27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 36, 38, 7, 57 ]
32
[ "38-36=2", "7+57=64", "64/2=32" ]
Current State: 32:[36, 38, 7, 57], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [7, 57, 2] Generated Node #2: [7, 57, 2] from Operation: 38-36=2 Current State: 32:[7, 57, 2], Operations: ['38-36=2'] Exploring Operation: 7+57=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 7+57=64 Current State: 32:[2, 64], Operations: ['38-36=2', '7+57=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 86, 20, 56, 27 ]
95
[ "86-20=66", "56-27=29", "66+29=95" ]
Current State: 95:[86, 20, 56, 27], Operations: [] Exploring Operation: 86-20=66, Resulting Numbers: [56, 27, 66] Generated Node #2: [56, 27, 66] from Operation: 86-20=66 Current State: 95:[56, 27, 66], Operations: ['86-20=66'] Exploring Operation: 56-27=29, Resulting Numbers: [66, 29] Generated Node #3: [66, 29] from Operation: 56-27=29 Current State: 95:[66, 29], Operations: ['86-20=66', '56-27=29'] Exploring Operation: 66+29=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 42, 56, 24, 27 ]
60
[ "56*27=1512", "1512/42=36", "24+36=60" ]
Current State: 60:[42, 56, 24, 27], Operations: [] Exploring Operation: 56*27=1512, Resulting Numbers: [42, 24, 1512] Generated Node #2: [42, 24, 1512] from Operation: 56*27=1512 Current State: 60:[42, 24, 1512], Operations: ['56*27=1512'] Exploring Operation: 1512/42=36, Resulting Numbers: [24, 36] Generated Node #3: [24, 36] from Operation: 1512/42=36 Current State: 60:[24, 36], Operations: ['56*27=1512', '1512/42=36'] Exploring Operation: 24+36=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 28, 8, 33, 76 ]
46
[ "28+76=104", "104/8=13", "33+13=46" ]
Current State: 46:[28, 8, 33, 76], Operations: [] Exploring Operation: 28+76=104, Resulting Numbers: [8, 33, 104] Generated Node #2: [8, 33, 104] from Operation: 28+76=104 Current State: 46:[8, 33, 104], Operations: ['28+76=104'] Exploring Operation: 104/8=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 104/8=13 Current State: 46:[33, 13], Operations: ['28+76=104', '104/8=13'] Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 17, 34, 23, 39 ]
62
[ "39-34=5", "17*5=85", "85-23=62" ]
Current State: 62:[17, 34, 23, 39], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [17, 23, 5] Generated Node #2: [17, 23, 5] from Operation: 39-34=5 Current State: 62:[17, 23, 5], Operations: ['39-34=5'] Exploring Operation: 17*5=85, Resulting Numbers: [23, 85] Generated Node #3: [23, 85] from Operation: 17*5=85 Current State: 62:[23, 85], Operations: ['39-34=5', '17*5=85'] Exploring Operation: 85-23=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 47, 17, 67, 88 ]
51
[ "47-17=30", "88-67=21", "30+21=51" ]
Current State: 51:[47, 17, 67, 88], Operations: [] Exploring Operation: 47-17=30, Resulting Numbers: [67, 88, 30] Generated Node #2: [67, 88, 30] from Operation: 47-17=30 Current State: 51:[67, 88, 30], Operations: ['47-17=30'] Exploring Operation: 88-67=21, Resulting Numbers: [30, 21] Generated Node #3: [30, 21] from Operation: 88-67=21 Current State: 51:[30, 21], Operations: ['47-17=30', '88-67=21'] Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 22, 1, 98, 17 ]
59
[ "22*1=22", "98-17=81", "81-22=59" ]
Current State: 59:[22, 1, 98, 17], Operations: [] Exploring Operation: 22*1=22, Resulting Numbers: [98, 17, 22] Generated Node #2: [98, 17, 22] from Operation: 22*1=22 Current State: 59:[98, 17, 22], Operations: ['22*1=22'] Exploring Operation: 98-17=81, Resulting Numbers: [22, 81] Generated Node #3: [22, 81] from Operation: 98-17=81 Current State: 59:[22, 81], Operations: ['22*1=22', '98-17=81'] Exploring Operation: 81-22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 51, 10, 37, 75 ]
99
[ "51+10=61", "75-37=38", "61+38=99" ]
Current State: 99:[51, 10, 37, 75], Operations: [] Exploring Operation: 51+10=61, Resulting Numbers: [37, 75, 61] Generated Node #2: [37, 75, 61] from Operation: 51+10=61 Current State: 99:[37, 75, 61], Operations: ['51+10=61'] Exploring Operation: 75-37=38, Resulting Numbers: [61, 38] Generated Node #3: [61, 38] from Operation: 75-37=38 Current State: 99:[61, 38], Operations: ['51+10=61', '75-37=38'] Exploring Operation: 61+38=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 23, 22, 23 ]
79
[ "23-23=0", "22*0=0", "79+0=79" ]
Current State: 79:[79, 23, 22, 23], Operations: [] Exploring Operation: 23-23=0, Resulting Numbers: [79, 22, 0] Generated Node #2: [79, 22, 0] from Operation: 23-23=0 Current State: 79:[79, 22, 0], Operations: ['23-23=0'] Exploring Operation: 22*0=0, Resulting Numbers: [79, 0] Generated Node #3: [79, 0] from Operation: 22*0=0 Current State: 79:[79, 0], Operations: ['23-23=0', '22*0=0'] Exploring Operation: 79+0=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 52, 40, 75, 29 ]
38
[ "75+29=104", "104/52=2", "40-2=38" ]
Current State: 38:[52, 40, 75, 29], Operations: [] Exploring Operation: 75+29=104, Resulting Numbers: [52, 40, 104] Generated Node #2: [52, 40, 104] from Operation: 75+29=104 Current State: 38:[52, 40, 104], Operations: ['75+29=104'] Exploring Operation: 104/52=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 104/52=2 Current State: 38:[40, 2], Operations: ['75+29=104', '104/52=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 31, 6, 86 ]
98
[ "2+86=88", "31*6=186", "186-88=98" ]
Current State: 98:[2, 31, 6, 86], Operations: [] Exploring Operation: 2+86=88, Resulting Numbers: [31, 6, 88] Generated Node #2: [31, 6, 88] from Operation: 2+86=88 Current State: 98:[31, 6, 88], Operations: ['2+86=88'] Exploring Operation: 31*6=186, Resulting Numbers: [88, 186] Generated Node #3: [88, 186] from Operation: 31*6=186 Current State: 98:[88, 186], Operations: ['2+86=88', '31*6=186'] Exploring Operation: 186-88=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 91, 65, 27, 78 ]
22
[ "91-78=13", "65/13=5", "27-5=22" ]
Current State: 22:[91, 65, 27, 78], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [65, 27, 13] Generated Node #2: [65, 27, 13] from Operation: 91-78=13 Current State: 22:[65, 27, 13], Operations: ['91-78=13'] Exploring Operation: 65/13=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 65/13=5 Current State: 22:[27, 5], Operations: ['91-78=13', '65/13=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 61, 28, 22, 82 ]
27
[ "61-28=33", "82-22=60", "60-33=27" ]
Current State: 27:[61, 28, 22, 82], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [22, 82, 33] Generated Node #2: [22, 82, 33] from Operation: 61-28=33 Current State: 27:[22, 82, 33], Operations: ['61-28=33'] Exploring Operation: 82-22=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 82-22=60 Current State: 27:[33, 60], Operations: ['61-28=33', '82-22=60'] Exploring Operation: 60-33=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 76, 97, 40, 84 ]
36
[ "97-76=21", "84/21=4", "40-4=36" ]
Current State: 36:[76, 97, 40, 84], Operations: [] Exploring Operation: 97-76=21, Resulting Numbers: [40, 84, 21] Generated Node #2: [40, 84, 21] from Operation: 97-76=21 Current State: 36:[40, 84, 21], Operations: ['97-76=21'] Exploring Operation: 84/21=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 84/21=4 Current State: 36:[40, 4], Operations: ['97-76=21', '84/21=4'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 77, 86, 6 ]
51
[ "70+86=156", "156/6=26", "77-26=51" ]
Current State: 51:[70, 77, 86, 6], Operations: [] Exploring Operation: 70+86=156, Resulting Numbers: [77, 6, 156] Generated Node #2: [77, 6, 156] from Operation: 70+86=156 Current State: 51:[77, 6, 156], Operations: ['70+86=156'] Exploring Operation: 156/6=26, Resulting Numbers: [77, 26] Generated Node #3: [77, 26] from Operation: 156/6=26 Current State: 51:[77, 26], Operations: ['70+86=156', '156/6=26'] Exploring Operation: 77-26=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 21, 80, 91 ]
50
[ "80-21=59", "91+59=150", "150/3=50" ]
Current State: 50:[3, 21, 80, 91], Operations: [] Exploring Operation: 80-21=59, Resulting Numbers: [3, 91, 59] Generated Node #2: [3, 91, 59] from Operation: 80-21=59 Current State: 50:[3, 91, 59], Operations: ['80-21=59'] Exploring Operation: 91+59=150, Resulting Numbers: [3, 150] Generated Node #3: [3, 150] from Operation: 91+59=150 Current State: 50:[3, 150], Operations: ['80-21=59', '91+59=150'] Exploring Operation: 150/3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 52, 36, 35 ]
60
[ "8+52=60", "36-35=1", "60*1=60" ]
Current State: 60:[8, 52, 36, 35], Operations: [] Exploring Operation: 8+52=60, Resulting Numbers: [36, 35, 60] Generated Node #2: [36, 35, 60] from Operation: 8+52=60 Current State: 60:[36, 35, 60], Operations: ['8+52=60'] Exploring Operation: 36-35=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 36-35=1 Current State: 60:[60, 1], Operations: ['8+52=60', '36-35=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 17, 16, 66, 5 ]
28
[ "17+16=33", "66-5=61", "61-33=28" ]
Current State: 28:[17, 16, 66, 5], Operations: [] Exploring Operation: 17+16=33, Resulting Numbers: [66, 5, 33] Generated Node #2: [66, 5, 33] from Operation: 17+16=33 Current State: 28:[66, 5, 33], Operations: ['17+16=33'] Exploring Operation: 66-5=61, Resulting Numbers: [33, 61] Generated Node #3: [33, 61] from Operation: 66-5=61 Current State: 28:[33, 61], Operations: ['17+16=33', '66-5=61'] Exploring Operation: 61-33=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 70, 53, 59, 3 ]
14
[ "70-53=17", "59-17=42", "42/3=14" ]
Current State: 14:[70, 53, 59, 3], Operations: [] Exploring Operation: 70-53=17, Resulting Numbers: [59, 3, 17] Generated Node #2: [59, 3, 17] from Operation: 70-53=17 Current State: 14:[59, 3, 17], Operations: ['70-53=17'] Exploring Operation: 59-17=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 59-17=42 Current State: 14:[3, 42], Operations: ['70-53=17', '59-17=42'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 53, 87, 18 ]
51
[ "55-53=2", "18*2=36", "87-36=51" ]
Current State: 51:[55, 53, 87, 18], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [87, 18, 2] Generated Node #2: [87, 18, 2] from Operation: 55-53=2 Current State: 51:[87, 18, 2], Operations: ['55-53=2'] Exploring Operation: 18*2=36, Resulting Numbers: [87, 36] Generated Node #3: [87, 36] from Operation: 18*2=36 Current State: 51:[87, 36], Operations: ['55-53=2', '18*2=36'] Exploring Operation: 87-36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 30, 7, 68, 60 ]
45
[ "30+7=37", "68-60=8", "37+8=45" ]
Current State: 45:[30, 7, 68, 60], Operations: [] Exploring Operation: 30+7=37, Resulting Numbers: [68, 60, 37] Generated Node #2: [68, 60, 37] from Operation: 30+7=37 Current State: 45:[68, 60, 37], Operations: ['30+7=37'] Exploring Operation: 68-60=8, Resulting Numbers: [37, 8] Generated Node #3: [37, 8] from Operation: 68-60=8 Current State: 45:[37, 8], Operations: ['30+7=37', '68-60=8'] Exploring Operation: 37+8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 37, 73, 3, 33 ]
73
[ "37-3=34", "34-33=1", "73*1=73" ]
Current State: 73:[37, 73, 3, 33], Operations: [] Exploring Operation: 37-3=34, Resulting Numbers: [73, 33, 34] Generated Node #2: [73, 33, 34] from Operation: 37-3=34 Current State: 73:[73, 33, 34], Operations: ['37-3=34'] Exploring Operation: 34-33=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 34-33=1 Current State: 73:[73, 1], Operations: ['37-3=34', '34-33=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 24, 51, 34, 44 ]
80
[ "24*51=1224", "1224/34=36", "44+36=80" ]
Current State: 80:[24, 51, 34, 44], Operations: [] Exploring Operation: 24*51=1224, Resulting Numbers: [34, 44, 1224] Generated Node #2: [34, 44, 1224] from Operation: 24*51=1224 Current State: 80:[34, 44, 1224], Operations: ['24*51=1224'] Exploring Operation: 1224/34=36, Resulting Numbers: [44, 36] Generated Node #3: [44, 36] from Operation: 1224/34=36 Current State: 80:[44, 36], Operations: ['24*51=1224', '1224/34=36'] Exploring Operation: 44+36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 18, 4, 19, 22 ]
91
[ "18*19=342", "22+342=364", "364/4=91" ]
Current State: 91:[18, 4, 19, 22], Operations: [] Exploring Operation: 18*19=342, Resulting Numbers: [4, 22, 342] Generated Node #2: [4, 22, 342] from Operation: 18*19=342 Current State: 91:[4, 22, 342], Operations: ['18*19=342'] Exploring Operation: 22+342=364, Resulting Numbers: [4, 364] Generated Node #3: [4, 364] from Operation: 22+342=364 Current State: 91:[4, 364], Operations: ['18*19=342', '22+342=364'] Exploring Operation: 364/4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 56, 24, 62 ]
55
[ "56-39=17", "62-24=38", "17+38=55" ]
Current State: 55:[39, 56, 24, 62], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [24, 62, 17] Generated Node #2: [24, 62, 17] from Operation: 56-39=17 Current State: 55:[24, 62, 17], Operations: ['56-39=17'] Exploring Operation: 62-24=38, Resulting Numbers: [17, 38] Generated Node #3: [17, 38] from Operation: 62-24=38 Current State: 55:[17, 38], Operations: ['56-39=17', '62-24=38'] Exploring Operation: 17+38=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 98, 24, 78, 10 ]
48
[ "98-78=20", "24*20=480", "480/10=48" ]
Current State: 48:[98, 24, 78, 10], Operations: [] Exploring Operation: 98-78=20, Resulting Numbers: [24, 10, 20] Generated Node #2: [24, 10, 20] from Operation: 98-78=20 Current State: 48:[24, 10, 20], Operations: ['98-78=20'] Exploring Operation: 24*20=480, Resulting Numbers: [10, 480] Generated Node #3: [10, 480] from Operation: 24*20=480 Current State: 48:[10, 480], Operations: ['98-78=20', '24*20=480'] Exploring Operation: 480/10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 61, 21, 20, 13 ]
58
[ "20-13=7", "21/7=3", "61-3=58" ]
Current State: 58:[61, 21, 20, 13], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [61, 21, 7] Generated Node #2: [61, 21, 7] from Operation: 20-13=7 Current State: 58:[61, 21, 7], Operations: ['20-13=7'] Exploring Operation: 21/7=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 21/7=3 Current State: 58:[61, 3], Operations: ['20-13=7', '21/7=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 70, 76, 52, 26 ]
73
[ "70+76=146", "52/26=2", "146/2=73" ]
Current State: 73:[70, 76, 52, 26], Operations: [] Exploring Operation: 70+76=146, Resulting Numbers: [52, 26, 146] Generated Node #2: [52, 26, 146] from Operation: 70+76=146 Current State: 73:[52, 26, 146], Operations: ['70+76=146'] Exploring Operation: 52/26=2, Resulting Numbers: [146, 2] Generated Node #3: [146, 2] from Operation: 52/26=2 Current State: 73:[146, 2], Operations: ['70+76=146', '52/26=2'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 73, 33, 70 ]
11
[ "46-33=13", "73+70=143", "143/13=11" ]
Current State: 11:[46, 73, 33, 70], Operations: [] Exploring Operation: 46-33=13, Resulting Numbers: [73, 70, 13] Generated Node #2: [73, 70, 13] from Operation: 46-33=13 Current State: 11:[73, 70, 13], Operations: ['46-33=13'] Exploring Operation: 73+70=143, Resulting Numbers: [13, 143] Generated Node #3: [13, 143] from Operation: 73+70=143 Current State: 11:[13, 143], Operations: ['46-33=13', '73+70=143'] Exploring Operation: 143/13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 81, 32, 33, 93 ]
53
[ "81+32=113", "93-33=60", "113-60=53" ]
Current State: 53:[81, 32, 33, 93], Operations: [] Exploring Operation: 81+32=113, Resulting Numbers: [33, 93, 113] Generated Node #2: [33, 93, 113] from Operation: 81+32=113 Current State: 53:[33, 93, 113], Operations: ['81+32=113'] Exploring Operation: 93-33=60, Resulting Numbers: [113, 60] Generated Node #3: [113, 60] from Operation: 93-33=60 Current State: 53:[113, 60], Operations: ['81+32=113', '93-33=60'] Exploring Operation: 113-60=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 31, 30, 43, 71 ]
10
[ "31+43=74", "74-71=3", "30/3=10" ]
Current State: 10:[31, 30, 43, 71], Operations: [] Exploring Operation: 31+43=74, Resulting Numbers: [30, 71, 74] Generated Node #2: [30, 71, 74] from Operation: 31+43=74 Current State: 10:[30, 71, 74], Operations: ['31+43=74'] Exploring Operation: 74-71=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 74-71=3 Current State: 10:[30, 3], Operations: ['31+43=74', '74-71=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 42, 52, 51, 33 ]
54
[ "51+33=84", "84/42=2", "52+2=54" ]
Current State: 54:[42, 52, 51, 33], Operations: [] Exploring Operation: 51+33=84, Resulting Numbers: [42, 52, 84] Generated Node #2: [42, 52, 84] from Operation: 51+33=84 Current State: 54:[42, 52, 84], Operations: ['51+33=84'] Exploring Operation: 84/42=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 84/42=2 Current State: 54:[52, 2], Operations: ['51+33=84', '84/42=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 25, 20, 65 ]
41
[ "19+25=44", "20+65=85", "85-44=41" ]
Current State: 41:[19, 25, 20, 65], Operations: [] Exploring Operation: 19+25=44, Resulting Numbers: [20, 65, 44] Generated Node #2: [20, 65, 44] from Operation: 19+25=44 Current State: 41:[20, 65, 44], Operations: ['19+25=44'] Exploring Operation: 20+65=85, Resulting Numbers: [44, 85] Generated Node #3: [44, 85] from Operation: 20+65=85 Current State: 41:[44, 85], Operations: ['19+25=44', '20+65=85'] Exploring Operation: 85-44=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 7, 63, 4 ]
64
[ "11-7=4", "4/4=1", "63+1=64" ]
Current State: 64:[11, 7, 63, 4], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [63, 4, 4] Generated Node #2: [63, 4, 4] from Operation: 11-7=4 Current State: 64:[63, 4, 4], Operations: ['11-7=4'] Exploring Operation: 4/4=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 4/4=1 Current State: 64:[63, 1], Operations: ['11-7=4', '4/4=1'] Exploring Operation: 63+1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 42, 58, 40, 34 ]
85
[ "42+58=100", "34*100=3400", "3400/40=85" ]
Current State: 85:[42, 58, 40, 34], Operations: [] Exploring Operation: 42+58=100, Resulting Numbers: [40, 34, 100] Generated Node #2: [40, 34, 100] from Operation: 42+58=100 Current State: 85:[40, 34, 100], Operations: ['42+58=100'] Exploring Operation: 34*100=3400, Resulting Numbers: [40, 3400] Generated Node #3: [40, 3400] from Operation: 34*100=3400 Current State: 85:[40, 3400], Operations: ['42+58=100', '34*100=3400'] Exploring Operation: 3400/40=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 26, 27, 99 ]
35
[ "27+99=126", "126/14=9", "26+9=35" ]
Current State: 35:[14, 26, 27, 99], Operations: [] Exploring Operation: 27+99=126, Resulting Numbers: [14, 26, 126] Generated Node #2: [14, 26, 126] from Operation: 27+99=126 Current State: 35:[14, 26, 126], Operations: ['27+99=126'] Exploring Operation: 126/14=9, Resulting Numbers: [26, 9] Generated Node #3: [26, 9] from Operation: 126/14=9 Current State: 35:[26, 9], Operations: ['27+99=126', '126/14=9'] Exploring Operation: 26+9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 74, 66, 97 ]
38
[ "74-5=69", "97-66=31", "69-31=38" ]
Current State: 38:[5, 74, 66, 97], Operations: [] Exploring Operation: 74-5=69, Resulting Numbers: [66, 97, 69] Generated Node #2: [66, 97, 69] from Operation: 74-5=69 Current State: 38:[66, 97, 69], Operations: ['74-5=69'] Exploring Operation: 97-66=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 97-66=31 Current State: 38:[69, 31], Operations: ['74-5=69', '97-66=31'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 95, 96, 60, 85 ]
41
[ "96*85=8160", "8160/60=136", "136-95=41" ]
Current State: 41:[95, 96, 60, 85], Operations: [] Exploring Operation: 96*85=8160, Resulting Numbers: [95, 60, 8160] Generated Node #2: [95, 60, 8160] from Operation: 96*85=8160 Current State: 41:[95, 60, 8160], Operations: ['96*85=8160'] Exploring Operation: 8160/60=136, Resulting Numbers: [95, 136] Generated Node #3: [95, 136] from Operation: 8160/60=136 Current State: 41:[95, 136], Operations: ['96*85=8160', '8160/60=136'] Exploring Operation: 136-95=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 83, 18, 22, 97 ]
54
[ "83-18=65", "22+97=119", "119-65=54" ]
Current State: 54:[83, 18, 22, 97], Operations: [] Exploring Operation: 83-18=65, Resulting Numbers: [22, 97, 65] Generated Node #2: [22, 97, 65] from Operation: 83-18=65 Current State: 54:[22, 97, 65], Operations: ['83-18=65'] Exploring Operation: 22+97=119, Resulting Numbers: [65, 119] Generated Node #3: [65, 119] from Operation: 22+97=119 Current State: 54:[65, 119], Operations: ['83-18=65', '22+97=119'] Exploring Operation: 119-65=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 64, 31, 30, 23 ]
88
[ "64+31=95", "30-23=7", "95-7=88" ]
Current State: 88:[64, 31, 30, 23], Operations: [] Exploring Operation: 64+31=95, Resulting Numbers: [30, 23, 95] Generated Node #2: [30, 23, 95] from Operation: 64+31=95 Current State: 88:[30, 23, 95], Operations: ['64+31=95'] Exploring Operation: 30-23=7, Resulting Numbers: [95, 7] Generated Node #3: [95, 7] from Operation: 30-23=7 Current State: 88:[95, 7], Operations: ['64+31=95', '30-23=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 26, 33, 46, 72 ]
33
[ "26+33=59", "72-46=26", "59-26=33" ]
Current State: 33:[26, 33, 46, 72], Operations: [] Exploring Operation: 26+33=59, Resulting Numbers: [46, 72, 59] Generated Node #2: [46, 72, 59] from Operation: 26+33=59 Current State: 33:[46, 72, 59], Operations: ['26+33=59'] Exploring Operation: 72-46=26, Resulting Numbers: [59, 26] Generated Node #3: [59, 26] from Operation: 72-46=26 Current State: 33:[59, 26], Operations: ['26+33=59', '72-46=26'] Exploring Operation: 59-26=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 78, 53, 78 ]
100
[ "48+53=101", "78/78=1", "101-1=100" ]
Current State: 100:[48, 78, 53, 78], Operations: [] Exploring Operation: 48+53=101, Resulting Numbers: [78, 78, 101] Generated Node #2: [78, 78, 101] from Operation: 48+53=101 Current State: 100:[78, 78, 101], Operations: ['48+53=101'] Exploring Operation: 78/78=1, Resulting Numbers: [101, 1] Generated Node #3: [101, 1] from Operation: 78/78=1 Current State: 100:[101, 1], Operations: ['48+53=101', '78/78=1'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 29, 86, 66, 84 ]
35
[ "29+86=115", "66+84=150", "150-115=35" ]
Current State: 35:[29, 86, 66, 84], Operations: [] Exploring Operation: 29+86=115, Resulting Numbers: [66, 84, 115] Generated Node #2: [66, 84, 115] from Operation: 29+86=115 Current State: 35:[66, 84, 115], Operations: ['29+86=115'] Exploring Operation: 66+84=150, Resulting Numbers: [115, 150] Generated Node #3: [115, 150] from Operation: 66+84=150 Current State: 35:[115, 150], Operations: ['29+86=115', '66+84=150'] Exploring Operation: 150-115=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 5, 69, 45 ]
71
[ "42+5=47", "69-45=24", "47+24=71" ]
Current State: 71:[42, 5, 69, 45], Operations: [] Exploring Operation: 42+5=47, Resulting Numbers: [69, 45, 47] Generated Node #2: [69, 45, 47] from Operation: 42+5=47 Current State: 71:[69, 45, 47], Operations: ['42+5=47'] Exploring Operation: 69-45=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 69-45=24 Current State: 71:[47, 24], Operations: ['42+5=47', '69-45=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 54, 83, 63, 25 ]
67
[ "83-54=29", "63-25=38", "29+38=67" ]
Current State: 67:[54, 83, 63, 25], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [63, 25, 29] Generated Node #2: [63, 25, 29] from Operation: 83-54=29 Current State: 67:[63, 25, 29], Operations: ['83-54=29'] Exploring Operation: 63-25=38, Resulting Numbers: [29, 38] Generated Node #3: [29, 38] from Operation: 63-25=38 Current State: 67:[29, 38], Operations: ['83-54=29', '63-25=38'] Exploring Operation: 29+38=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 13, 32, 41, 39 ]
70
[ "39/13=3", "32+41=73", "73-3=70" ]
Current State: 70:[13, 32, 41, 39], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [32, 41, 3] Generated Node #2: [32, 41, 3] from Operation: 39/13=3 Current State: 70:[32, 41, 3], Operations: ['39/13=3'] Exploring Operation: 32+41=73, Resulting Numbers: [3, 73] Generated Node #3: [3, 73] from Operation: 32+41=73 Current State: 70:[3, 73], Operations: ['39/13=3', '32+41=73'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 76, 98, 99 ]
54
[ "12*99=1188", "98-76=22", "1188/22=54" ]
Current State: 54:[12, 76, 98, 99], Operations: [] Exploring Operation: 12*99=1188, Resulting Numbers: [76, 98, 1188] Generated Node #2: [76, 98, 1188] from Operation: 12*99=1188 Current State: 54:[76, 98, 1188], Operations: ['12*99=1188'] Exploring Operation: 98-76=22, Resulting Numbers: [1188, 22] Generated Node #3: [1188, 22] from Operation: 98-76=22 Current State: 54:[1188, 22], Operations: ['12*99=1188', '98-76=22'] Exploring Operation: 1188/22=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 71, 66, 1, 86 ]
81
[ "71-66=5", "1*86=86", "86-5=81" ]
Current State: 81:[71, 66, 1, 86], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [1, 86, 5] Generated Node #2: [1, 86, 5] from Operation: 71-66=5 Current State: 81:[1, 86, 5], Operations: ['71-66=5'] Exploring Operation: 1*86=86, Resulting Numbers: [5, 86] Generated Node #3: [5, 86] from Operation: 1*86=86 Current State: 81:[5, 86], Operations: ['71-66=5', '1*86=86'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 94, 23, 6, 84 ]
57
[ "94-23=71", "84/6=14", "71-14=57" ]
Current State: 57:[94, 23, 6, 84], Operations: [] Exploring Operation: 94-23=71, Resulting Numbers: [6, 84, 71] Generated Node #2: [6, 84, 71] from Operation: 94-23=71 Current State: 57:[6, 84, 71], Operations: ['94-23=71'] Exploring Operation: 84/6=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 84/6=14 Current State: 57:[71, 14], Operations: ['94-23=71', '84/6=14'] Exploring Operation: 71-14=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 98, 46, 28, 56 ]
54
[ "98-46=52", "56/28=2", "52+2=54" ]
Current State: 54:[98, 46, 28, 56], Operations: [] Exploring Operation: 98-46=52, Resulting Numbers: [28, 56, 52] Generated Node #2: [28, 56, 52] from Operation: 98-46=52 Current State: 54:[28, 56, 52], Operations: ['98-46=52'] Exploring Operation: 56/28=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 56/28=2 Current State: 54:[52, 2], Operations: ['98-46=52', '56/28=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 98, 58, 71, 78 ]
47
[ "98-58=40", "78-71=7", "40+7=47" ]
Current State: 47:[98, 58, 71, 78], Operations: [] Exploring Operation: 98-58=40, Resulting Numbers: [71, 78, 40] Generated Node #2: [71, 78, 40] from Operation: 98-58=40 Current State: 47:[71, 78, 40], Operations: ['98-58=40'] Exploring Operation: 78-71=7, Resulting Numbers: [40, 7] Generated Node #3: [40, 7] from Operation: 78-71=7 Current State: 47:[40, 7], Operations: ['98-58=40', '78-71=7'] Exploring Operation: 40+7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 78, 70, 90, 62 ]
88
[ "78+62=140", "140/70=2", "90-2=88" ]
Current State: 88:[78, 70, 90, 62], Operations: [] Exploring Operation: 78+62=140, Resulting Numbers: [70, 90, 140] Generated Node #2: [70, 90, 140] from Operation: 78+62=140 Current State: 88:[70, 90, 140], Operations: ['78+62=140'] Exploring Operation: 140/70=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 140/70=2 Current State: 88:[90, 2], Operations: ['78+62=140', '140/70=2'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 1, 25, 85, 69 ]
40
[ "25-1=24", "85-69=16", "24+16=40" ]
Current State: 40:[1, 25, 85, 69], Operations: [] Exploring Operation: 25-1=24, Resulting Numbers: [85, 69, 24] Generated Node #2: [85, 69, 24] from Operation: 25-1=24 Current State: 40:[85, 69, 24], Operations: ['25-1=24'] Exploring Operation: 85-69=16, Resulting Numbers: [24, 16] Generated Node #3: [24, 16] from Operation: 85-69=16 Current State: 40:[24, 16], Operations: ['25-1=24', '85-69=16'] Exploring Operation: 24+16=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 35, 70, 51, 24 ]
25
[ "70/35=2", "51-24=27", "27-2=25" ]
Current State: 25:[35, 70, 51, 24], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [51, 24, 2] Generated Node #2: [51, 24, 2] from Operation: 70/35=2 Current State: 25:[51, 24, 2], Operations: ['70/35=2'] Exploring Operation: 51-24=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 51-24=27 Current State: 25:[2, 27], Operations: ['70/35=2', '51-24=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 71, 85, 42 ]
29
[ "85-71=14", "42/14=3", "26+3=29" ]
Current State: 29:[26, 71, 85, 42], Operations: [] Exploring Operation: 85-71=14, Resulting Numbers: [26, 42, 14] Generated Node #2: [26, 42, 14] from Operation: 85-71=14 Current State: 29:[26, 42, 14], Operations: ['85-71=14'] Exploring Operation: 42/14=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 42/14=3 Current State: 29:[26, 3], Operations: ['85-71=14', '42/14=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 79, 7, 89, 48 ]
51
[ "79+7=86", "89+48=137", "137-86=51" ]
Current State: 51:[79, 7, 89, 48], Operations: [] Exploring Operation: 79+7=86, Resulting Numbers: [89, 48, 86] Generated Node #2: [89, 48, 86] from Operation: 79+7=86 Current State: 51:[89, 48, 86], Operations: ['79+7=86'] Exploring Operation: 89+48=137, Resulting Numbers: [86, 137] Generated Node #3: [86, 137] from Operation: 89+48=137 Current State: 51:[86, 137], Operations: ['79+7=86', '89+48=137'] Exploring Operation: 137-86=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 84, 77, 88, 72 ]
20
[ "88-84=4", "77-72=5", "4*5=20" ]
Current State: 20:[84, 77, 88, 72], Operations: [] Exploring Operation: 88-84=4, Resulting Numbers: [77, 72, 4] Generated Node #2: [77, 72, 4] from Operation: 88-84=4 Current State: 20:[77, 72, 4], Operations: ['88-84=4'] Exploring Operation: 77-72=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 77-72=5 Current State: 20:[4, 5], Operations: ['88-84=4', '77-72=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 85, 69, 61 ]
79
[ "2+85=87", "69-61=8", "87-8=79" ]
Current State: 79:[2, 85, 69, 61], Operations: [] Exploring Operation: 2+85=87, Resulting Numbers: [69, 61, 87] Generated Node #2: [69, 61, 87] from Operation: 2+85=87 Current State: 79:[69, 61, 87], Operations: ['2+85=87'] Exploring Operation: 69-61=8, Resulting Numbers: [87, 8] Generated Node #3: [87, 8] from Operation: 69-61=8 Current State: 79:[87, 8], Operations: ['2+85=87', '69-61=8'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 66, 98, 5, 41 ]
78
[ "98-66=32", "5+41=46", "32+46=78" ]
Current State: 78:[66, 98, 5, 41], Operations: [] Exploring Operation: 98-66=32, Resulting Numbers: [5, 41, 32] Generated Node #2: [5, 41, 32] from Operation: 98-66=32 Current State: 78:[5, 41, 32], Operations: ['98-66=32'] Exploring Operation: 5+41=46, Resulting Numbers: [32, 46] Generated Node #3: [32, 46] from Operation: 5+41=46 Current State: 78:[32, 46], Operations: ['98-66=32', '5+41=46'] Exploring Operation: 32+46=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 32, 66, 17, 21 ]
19
[ "66-32=34", "34/17=2", "21-2=19" ]
Current State: 19:[32, 66, 17, 21], Operations: [] Exploring Operation: 66-32=34, Resulting Numbers: [17, 21, 34] Generated Node #2: [17, 21, 34] from Operation: 66-32=34 Current State: 19:[17, 21, 34], Operations: ['66-32=34'] Exploring Operation: 34/17=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 34/17=2 Current State: 19:[21, 2], Operations: ['66-32=34', '34/17=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 55, 44, 5, 70 ]
51
[ "44*70=3080", "3080/55=56", "56-5=51" ]
Current State: 51:[55, 44, 5, 70], Operations: [] Exploring Operation: 44*70=3080, Resulting Numbers: [55, 5, 3080] Generated Node #2: [55, 5, 3080] from Operation: 44*70=3080 Current State: 51:[55, 5, 3080], Operations: ['44*70=3080'] Exploring Operation: 3080/55=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 3080/55=56 Current State: 51:[5, 56], Operations: ['44*70=3080', '3080/55=56'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 92, 57, 53 ]
44
[ "92-44=48", "57-53=4", "48-4=44" ]
Current State: 44:[44, 92, 57, 53], Operations: [] Exploring Operation: 92-44=48, Resulting Numbers: [57, 53, 48] Generated Node #2: [57, 53, 48] from Operation: 92-44=48 Current State: 44:[57, 53, 48], Operations: ['92-44=48'] Exploring Operation: 57-53=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 57-53=4 Current State: 44:[48, 4], Operations: ['92-44=48', '57-53=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 96, 12, 42, 37 ]
38
[ "96+37=133", "12*133=1596", "1596/42=38" ]
Current State: 38:[96, 12, 42, 37], Operations: [] Exploring Operation: 96+37=133, Resulting Numbers: [12, 42, 133] Generated Node #2: [12, 42, 133] from Operation: 96+37=133 Current State: 38:[12, 42, 133], Operations: ['96+37=133'] Exploring Operation: 12*133=1596, Resulting Numbers: [42, 1596] Generated Node #3: [42, 1596] from Operation: 12*133=1596 Current State: 38:[42, 1596], Operations: ['96+37=133', '12*133=1596'] Exploring Operation: 1596/42=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 97, 41, 90, 27 ]
98
[ "97-90=7", "41-27=14", "7*14=98" ]
Current State: 98:[97, 41, 90, 27], Operations: [] Exploring Operation: 97-90=7, Resulting Numbers: [41, 27, 7] Generated Node #2: [41, 27, 7] from Operation: 97-90=7 Current State: 98:[41, 27, 7], Operations: ['97-90=7'] Exploring Operation: 41-27=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 41-27=14 Current State: 98:[7, 14], Operations: ['97-90=7', '41-27=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 34, 60, 3 ]
41
[ "60-34=26", "3*26=78", "78-37=41" ]
Current State: 41:[37, 34, 60, 3], Operations: [] Exploring Operation: 60-34=26, Resulting Numbers: [37, 3, 26] Generated Node #2: [37, 3, 26] from Operation: 60-34=26 Current State: 41:[37, 3, 26], Operations: ['60-34=26'] Exploring Operation: 3*26=78, Resulting Numbers: [37, 78] Generated Node #3: [37, 78] from Operation: 3*26=78 Current State: 41:[37, 78], Operations: ['60-34=26', '3*26=78'] Exploring Operation: 78-37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 45, 22, 20 ]
18
[ "20/4=5", "45-22=23", "23-5=18" ]
Current State: 18:[4, 45, 22, 20], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [45, 22, 5] Generated Node #2: [45, 22, 5] from Operation: 20/4=5 Current State: 18:[45, 22, 5], Operations: ['20/4=5'] Exploring Operation: 45-22=23, Resulting Numbers: [5, 23] Generated Node #3: [5, 23] from Operation: 45-22=23 Current State: 18:[5, 23], Operations: ['20/4=5', '45-22=23'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 54, 11, 22, 68 ]
41
[ "54*11=594", "594/22=27", "68-27=41" ]
Current State: 41:[54, 11, 22, 68], Operations: [] Exploring Operation: 54*11=594, Resulting Numbers: [22, 68, 594] Generated Node #2: [22, 68, 594] from Operation: 54*11=594 Current State: 41:[22, 68, 594], Operations: ['54*11=594'] Exploring Operation: 594/22=27, Resulting Numbers: [68, 27] Generated Node #3: [68, 27] from Operation: 594/22=27 Current State: 41:[68, 27], Operations: ['54*11=594', '594/22=27'] Exploring Operation: 68-27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 72, 15, 67, 9 ]
84
[ "72-67=5", "15*5=75", "9+75=84" ]
Current State: 84:[72, 15, 67, 9], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [15, 9, 5] Generated Node #2: [15, 9, 5] from Operation: 72-67=5 Current State: 84:[15, 9, 5], Operations: ['72-67=5'] Exploring Operation: 15*5=75, Resulting Numbers: [9, 75] Generated Node #3: [9, 75] from Operation: 15*5=75 Current State: 84:[9, 75], Operations: ['72-67=5', '15*5=75'] Exploring Operation: 9+75=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 43, 77, 54, 80 ]
100
[ "77-43=34", "54+80=134", "134-34=100" ]
Current State: 100:[43, 77, 54, 80], Operations: [] Exploring Operation: 77-43=34, Resulting Numbers: [54, 80, 34] Generated Node #2: [54, 80, 34] from Operation: 77-43=34 Current State: 100:[54, 80, 34], Operations: ['77-43=34'] Exploring Operation: 54+80=134, Resulting Numbers: [34, 134] Generated Node #3: [34, 134] from Operation: 54+80=134 Current State: 100:[34, 134], Operations: ['77-43=34', '54+80=134'] Exploring Operation: 134-34=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 11, 23, 35, 85 ]
86
[ "11+23=34", "35+85=120", "120-34=86" ]
Current State: 86:[11, 23, 35, 85], Operations: [] Exploring Operation: 11+23=34, Resulting Numbers: [35, 85, 34] Generated Node #2: [35, 85, 34] from Operation: 11+23=34 Current State: 86:[35, 85, 34], Operations: ['11+23=34'] Exploring Operation: 35+85=120, Resulting Numbers: [34, 120] Generated Node #3: [34, 120] from Operation: 35+85=120 Current State: 86:[34, 120], Operations: ['11+23=34', '35+85=120'] Exploring Operation: 120-34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4