Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 23, 91, 23, 17 ]
75
[ "23/23=1", "91-17=74", "1+74=75" ]
Current State: 75:[23, 91, 23, 17], Operations: [] Exploring Operation: 23/23=1, Resulting Numbers: [91, 17, 1] Generated Node #2: [91, 17, 1] from Operation: 23/23=1 Current State: 75:[91, 17, 1], Operations: ['23/23=1'] Exploring Operation: 91-17=74, Resulting Numbers: [1, 74] Generated Node #3: [1, 74] from Operation: 91-17=74 Current State: 75:[1, 74], Operations: ['23/23=1', '91-17=74'] Exploring Operation: 1+74=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 25, 62, 77, 76 ]
87
[ "25+62=87", "77-76=1", "87*1=87" ]
Current State: 87:[25, 62, 77, 76], Operations: [] Exploring Operation: 25+62=87, Resulting Numbers: [77, 76, 87] Generated Node #2: [77, 76, 87] from Operation: 25+62=87 Current State: 87:[77, 76, 87], Operations: ['25+62=87'] Exploring Operation: 77-76=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 77-76=1 Current State: 87:[87, 1], Operations: ['25+62=87', '77-76=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 81, 76, 30, 71 ]
36
[ "81-76=5", "71-30=41", "41-5=36" ]
Current State: 36:[81, 76, 30, 71], Operations: [] Exploring Operation: 81-76=5, Resulting Numbers: [30, 71, 5] Generated Node #2: [30, 71, 5] from Operation: 81-76=5 Current State: 36:[30, 71, 5], Operations: ['81-76=5'] Exploring Operation: 71-30=41, Resulting Numbers: [5, 41] Generated Node #3: [5, 41] from Operation: 71-30=41 Current State: 36:[5, 41], Operations: ['81-76=5', '71-30=41'] Exploring Operation: 41-5=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 60, 30, 15, 63 ]
61
[ "60-30=30", "30/15=2", "63-2=61" ]
Current State: 61:[60, 30, 15, 63], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [15, 63, 30] Generated Node #2: [15, 63, 30] from Operation: 60-30=30 Current State: 61:[15, 63, 30], Operations: ['60-30=30'] Exploring Operation: 30/15=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 30/15=2 Current State: 61:[63, 2], Operations: ['60-30=30', '30/15=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 44, 64, 65, 82 ]
37
[ "64-44=20", "82-65=17", "20+17=37" ]
Current State: 37:[44, 64, 65, 82], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [65, 82, 20] Generated Node #2: [65, 82, 20] from Operation: 64-44=20 Current State: 37:[65, 82, 20], Operations: ['64-44=20'] Exploring Operation: 82-65=17, Resulting Numbers: [20, 17] Generated Node #3: [20, 17] from Operation: 82-65=17 Current State: 37:[20, 17], Operations: ['64-44=20', '82-65=17'] Exploring Operation: 20+17=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 96, 21, 10 ]
33
[ "96/48=2", "21+10=31", "2+31=33" ]
Current State: 33:[48, 96, 21, 10], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [21, 10, 2] Generated Node #2: [21, 10, 2] from Operation: 96/48=2 Current State: 33:[21, 10, 2], Operations: ['96/48=2'] Exploring Operation: 21+10=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 21+10=31 Current State: 33:[2, 31], Operations: ['96/48=2', '21+10=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 38, 61, 63 ]
86
[ "5+38=43", "63-61=2", "43*2=86" ]
Current State: 86:[5, 38, 61, 63], Operations: [] Exploring Operation: 5+38=43, Resulting Numbers: [61, 63, 43] Generated Node #2: [61, 63, 43] from Operation: 5+38=43 Current State: 86:[61, 63, 43], Operations: ['5+38=43'] Exploring Operation: 63-61=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 63-61=2 Current State: 86:[43, 2], Operations: ['5+38=43', '63-61=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 26, 25, 71, 34 ]
38
[ "26-25=1", "71-34=37", "1+37=38" ]
Current State: 38:[26, 25, 71, 34], Operations: [] Exploring Operation: 26-25=1, Resulting Numbers: [71, 34, 1] Generated Node #2: [71, 34, 1] from Operation: 26-25=1 Current State: 38:[71, 34, 1], Operations: ['26-25=1'] Exploring Operation: 71-34=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 71-34=37 Current State: 38:[1, 37], Operations: ['26-25=1', '71-34=37'] Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 62, 56, 89, 87 ]
59
[ "62+56=118", "89-87=2", "118/2=59" ]
Current State: 59:[62, 56, 89, 87], Operations: [] Exploring Operation: 62+56=118, Resulting Numbers: [89, 87, 118] Generated Node #2: [89, 87, 118] from Operation: 62+56=118 Current State: 59:[89, 87, 118], Operations: ['62+56=118'] Exploring Operation: 89-87=2, Resulting Numbers: [118, 2] Generated Node #3: [118, 2] from Operation: 89-87=2 Current State: 59:[118, 2], Operations: ['62+56=118', '89-87=2'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 99, 98, 36 ]
24
[ "98-32=66", "36*66=2376", "2376/99=24" ]
Current State: 24:[32, 99, 98, 36], Operations: [] Exploring Operation: 98-32=66, Resulting Numbers: [99, 36, 66] Generated Node #2: [99, 36, 66] from Operation: 98-32=66 Current State: 24:[99, 36, 66], Operations: ['98-32=66'] Exploring Operation: 36*66=2376, Resulting Numbers: [99, 2376] Generated Node #3: [99, 2376] from Operation: 36*66=2376 Current State: 24:[99, 2376], Operations: ['98-32=66', '36*66=2376'] Exploring Operation: 2376/99=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 49, 21, 81 ]
43
[ "49-32=17", "81-21=60", "60-17=43" ]
Current State: 43:[32, 49, 21, 81], Operations: [] Exploring Operation: 49-32=17, Resulting Numbers: [21, 81, 17] Generated Node #2: [21, 81, 17] from Operation: 49-32=17 Current State: 43:[21, 81, 17], Operations: ['49-32=17'] Exploring Operation: 81-21=60, Resulting Numbers: [17, 60] Generated Node #3: [17, 60] from Operation: 81-21=60 Current State: 43:[17, 60], Operations: ['49-32=17', '81-21=60'] Exploring Operation: 60-17=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 23, 84, 19 ]
35
[ "6*23=138", "84+19=103", "138-103=35" ]
Current State: 35:[6, 23, 84, 19], Operations: [] Exploring Operation: 6*23=138, Resulting Numbers: [84, 19, 138] Generated Node #2: [84, 19, 138] from Operation: 6*23=138 Current State: 35:[84, 19, 138], Operations: ['6*23=138'] Exploring Operation: 84+19=103, Resulting Numbers: [138, 103] Generated Node #3: [138, 103] from Operation: 84+19=103 Current State: 35:[138, 103], Operations: ['6*23=138', '84+19=103'] Exploring Operation: 138-103=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 79, 28, 8, 24 ]
81
[ "28-24=4", "8/4=2", "79+2=81" ]
Current State: 81:[79, 28, 8, 24], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [79, 8, 4] Generated Node #2: [79, 8, 4] from Operation: 28-24=4 Current State: 81:[79, 8, 4], Operations: ['28-24=4'] Exploring Operation: 8/4=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 8/4=2 Current State: 81:[79, 2], Operations: ['28-24=4', '8/4=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 8, 48, 16, 60 ]
15
[ "8*60=480", "48-16=32", "480/32=15" ]
Current State: 15:[8, 48, 16, 60], Operations: [] Exploring Operation: 8*60=480, Resulting Numbers: [48, 16, 480] Generated Node #2: [48, 16, 480] from Operation: 8*60=480 Current State: 15:[48, 16, 480], Operations: ['8*60=480'] Exploring Operation: 48-16=32, Resulting Numbers: [480, 32] Generated Node #3: [480, 32] from Operation: 48-16=32 Current State: 15:[480, 32], Operations: ['8*60=480', '48-16=32'] Exploring Operation: 480/32=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 59, 98, 65, 62 ]
97
[ "62-59=3", "65*3=195", "195-98=97" ]
Current State: 97:[59, 98, 65, 62], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [98, 65, 3] Generated Node #2: [98, 65, 3] from Operation: 62-59=3 Current State: 97:[98, 65, 3], Operations: ['62-59=3'] Exploring Operation: 65*3=195, Resulting Numbers: [98, 195] Generated Node #3: [98, 195] from Operation: 65*3=195 Current State: 97:[98, 195], Operations: ['62-59=3', '65*3=195'] Exploring Operation: 195-98=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 12, 75, 51 ]
94
[ "82-12=70", "75-51=24", "70+24=94" ]
Current State: 94:[82, 12, 75, 51], Operations: [] Exploring Operation: 82-12=70, Resulting Numbers: [75, 51, 70] Generated Node #2: [75, 51, 70] from Operation: 82-12=70 Current State: 94:[75, 51, 70], Operations: ['82-12=70'] Exploring Operation: 75-51=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 75-51=24 Current State: 94:[70, 24], Operations: ['82-12=70', '75-51=24'] Exploring Operation: 70+24=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 55, 3, 50, 52 ]
89
[ "50+52=102", "102/3=34", "55+34=89" ]
Current State: 89:[55, 3, 50, 52], Operations: [] Exploring Operation: 50+52=102, Resulting Numbers: [55, 3, 102] Generated Node #2: [55, 3, 102] from Operation: 50+52=102 Current State: 89:[55, 3, 102], Operations: ['50+52=102'] Exploring Operation: 102/3=34, Resulting Numbers: [55, 34] Generated Node #3: [55, 34] from Operation: 102/3=34 Current State: 89:[55, 34], Operations: ['50+52=102', '102/3=34'] Exploring Operation: 55+34=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 55, 48, 19, 33 ]
16
[ "55-19=36", "36-33=3", "48/3=16" ]
Current State: 16:[55, 48, 19, 33], Operations: [] Exploring Operation: 55-19=36, Resulting Numbers: [48, 33, 36] Generated Node #2: [48, 33, 36] from Operation: 55-19=36 Current State: 16:[48, 33, 36], Operations: ['55-19=36'] Exploring Operation: 36-33=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 36-33=3 Current State: 16:[48, 3], Operations: ['55-19=36', '36-33=3'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 89, 66, 99, 92 ]
55
[ "92-89=3", "66+99=165", "165/3=55" ]
Current State: 55:[89, 66, 99, 92], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [66, 99, 3] Generated Node #2: [66, 99, 3] from Operation: 92-89=3 Current State: 55:[66, 99, 3], Operations: ['92-89=3'] Exploring Operation: 66+99=165, Resulting Numbers: [3, 165] Generated Node #3: [3, 165] from Operation: 66+99=165 Current State: 55:[3, 165], Operations: ['92-89=3', '66+99=165'] Exploring Operation: 165/3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 71, 83, 22 ]
53
[ "87+71=158", "83+22=105", "158-105=53" ]
Current State: 53:[87, 71, 83, 22], Operations: [] Exploring Operation: 87+71=158, Resulting Numbers: [83, 22, 158] Generated Node #2: [83, 22, 158] from Operation: 87+71=158 Current State: 53:[83, 22, 158], Operations: ['87+71=158'] Exploring Operation: 83+22=105, Resulting Numbers: [158, 105] Generated Node #3: [158, 105] from Operation: 83+22=105 Current State: 53:[158, 105], Operations: ['87+71=158', '83+22=105'] Exploring Operation: 158-105=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 95, 81, 76 ]
22
[ "40+95=135", "81+76=157", "157-135=22" ]
Current State: 22:[40, 95, 81, 76], Operations: [] Exploring Operation: 40+95=135, Resulting Numbers: [81, 76, 135] Generated Node #2: [81, 76, 135] from Operation: 40+95=135 Current State: 22:[81, 76, 135], Operations: ['40+95=135'] Exploring Operation: 81+76=157, Resulting Numbers: [135, 157] Generated Node #3: [135, 157] from Operation: 81+76=157 Current State: 22:[135, 157], Operations: ['40+95=135', '81+76=157'] Exploring Operation: 157-135=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 41, 71, 37, 4 ]
95
[ "71-37=34", "4*34=136", "136-41=95" ]
Current State: 95:[41, 71, 37, 4], Operations: [] Exploring Operation: 71-37=34, Resulting Numbers: [41, 4, 34] Generated Node #2: [41, 4, 34] from Operation: 71-37=34 Current State: 95:[41, 4, 34], Operations: ['71-37=34'] Exploring Operation: 4*34=136, Resulting Numbers: [41, 136] Generated Node #3: [41, 136] from Operation: 4*34=136 Current State: 95:[41, 136], Operations: ['71-37=34', '4*34=136'] Exploring Operation: 136-41=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 10, 53, 13, 70 ]
33
[ "70/10=7", "53-13=40", "40-7=33" ]
Current State: 33:[10, 53, 13, 70], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [53, 13, 7] Generated Node #2: [53, 13, 7] from Operation: 70/10=7 Current State: 33:[53, 13, 7], Operations: ['70/10=7'] Exploring Operation: 53-13=40, Resulting Numbers: [7, 40] Generated Node #3: [7, 40] from Operation: 53-13=40 Current State: 33:[7, 40], Operations: ['70/10=7', '53-13=40'] Exploring Operation: 40-7=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 68, 93, 58, 55 ]
43
[ "68*58=3944", "55+3944=3999", "3999/93=43" ]
Current State: 43:[68, 93, 58, 55], Operations: [] Exploring Operation: 68*58=3944, Resulting Numbers: [93, 55, 3944] Generated Node #2: [93, 55, 3944] from Operation: 68*58=3944 Current State: 43:[93, 55, 3944], Operations: ['68*58=3944'] Exploring Operation: 55+3944=3999, Resulting Numbers: [93, 3999] Generated Node #3: [93, 3999] from Operation: 55+3944=3999 Current State: 43:[93, 3999], Operations: ['68*58=3944', '55+3944=3999'] Exploring Operation: 3999/93=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 22, 79, 88 ]
17
[ "4+22=26", "88-79=9", "26-9=17" ]
Current State: 17:[4, 22, 79, 88], Operations: [] Exploring Operation: 4+22=26, Resulting Numbers: [79, 88, 26] Generated Node #2: [79, 88, 26] from Operation: 4+22=26 Current State: 17:[79, 88, 26], Operations: ['4+22=26'] Exploring Operation: 88-79=9, Resulting Numbers: [26, 9] Generated Node #3: [26, 9] from Operation: 88-79=9 Current State: 17:[26, 9], Operations: ['4+22=26', '88-79=9'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 9, 33, 29, 6 ]
77
[ "9+33=42", "29+6=35", "42+35=77" ]
Current State: 77:[9, 33, 29, 6], Operations: [] Exploring Operation: 9+33=42, Resulting Numbers: [29, 6, 42] Generated Node #2: [29, 6, 42] from Operation: 9+33=42 Current State: 77:[29, 6, 42], Operations: ['9+33=42'] Exploring Operation: 29+6=35, Resulting Numbers: [42, 35] Generated Node #3: [42, 35] from Operation: 29+6=35 Current State: 77:[42, 35], Operations: ['9+33=42', '29+6=35'] Exploring Operation: 42+35=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 37, 3, 55 ]
69
[ "37-20=17", "55-3=52", "17+52=69" ]
Current State: 69:[20, 37, 3, 55], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [3, 55, 17] Generated Node #2: [3, 55, 17] from Operation: 37-20=17 Current State: 69:[3, 55, 17], Operations: ['37-20=17'] Exploring Operation: 55-3=52, Resulting Numbers: [17, 52] Generated Node #3: [17, 52] from Operation: 55-3=52 Current State: 69:[17, 52], Operations: ['37-20=17', '55-3=52'] Exploring Operation: 17+52=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 28, 24, 13, 59 ]
76
[ "28-24=4", "13+59=72", "4+72=76" ]
Current State: 76:[28, 24, 13, 59], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [13, 59, 4] Generated Node #2: [13, 59, 4] from Operation: 28-24=4 Current State: 76:[13, 59, 4], Operations: ['28-24=4'] Exploring Operation: 13+59=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 13+59=72 Current State: 76:[4, 72], Operations: ['28-24=4', '13+59=72'] Exploring Operation: 4+72=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 56, 20, 49 ]
42
[ "40/20=2", "49*2=98", "98-56=42" ]
Current State: 42:[40, 56, 20, 49], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [56, 49, 2] Generated Node #2: [56, 49, 2] from Operation: 40/20=2 Current State: 42:[56, 49, 2], Operations: ['40/20=2'] Exploring Operation: 49*2=98, Resulting Numbers: [56, 98] Generated Node #3: [56, 98] from Operation: 49*2=98 Current State: 42:[56, 98], Operations: ['40/20=2', '49*2=98'] Exploring Operation: 98-56=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 47, 27, 79, 30 ]
51
[ "79*30=2370", "27+2370=2397", "2397/47=51" ]
Current State: 51:[47, 27, 79, 30], Operations: [] Exploring Operation: 79*30=2370, Resulting Numbers: [47, 27, 2370] Generated Node #2: [47, 27, 2370] from Operation: 79*30=2370 Current State: 51:[47, 27, 2370], Operations: ['79*30=2370'] Exploring Operation: 27+2370=2397, Resulting Numbers: [47, 2397] Generated Node #3: [47, 2397] from Operation: 27+2370=2397 Current State: 51:[47, 2397], Operations: ['79*30=2370', '27+2370=2397'] Exploring Operation: 2397/47=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 74, 70, 62, 6 ]
93
[ "74-70=4", "62*6=372", "372/4=93" ]
Current State: 93:[74, 70, 62, 6], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [62, 6, 4] Generated Node #2: [62, 6, 4] from Operation: 74-70=4 Current State: 93:[62, 6, 4], Operations: ['74-70=4'] Exploring Operation: 62*6=372, Resulting Numbers: [4, 372] Generated Node #3: [4, 372] from Operation: 62*6=372 Current State: 93:[4, 372], Operations: ['74-70=4', '62*6=372'] Exploring Operation: 372/4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 48, 97, 8, 9 ]
82
[ "48/8=6", "97-9=88", "88-6=82" ]
Current State: 82:[48, 97, 8, 9], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [97, 9, 6] Generated Node #2: [97, 9, 6] from Operation: 48/8=6 Current State: 82:[97, 9, 6], Operations: ['48/8=6'] Exploring Operation: 97-9=88, Resulting Numbers: [6, 88] Generated Node #3: [6, 88] from Operation: 97-9=88 Current State: 82:[6, 88], Operations: ['48/8=6', '97-9=88'] Exploring Operation: 88-6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 87, 94, 44, 44 ]
95
[ "94-87=7", "44+44=88", "7+88=95" ]
Current State: 95:[87, 94, 44, 44], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [44, 44, 7] Generated Node #2: [44, 44, 7] from Operation: 94-87=7 Current State: 95:[44, 44, 7], Operations: ['94-87=7'] Exploring Operation: 44+44=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 44+44=88 Current State: 95:[7, 88], Operations: ['94-87=7', '44+44=88'] Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 64, 30, 53, 97 ]
50
[ "64+30=94", "97-53=44", "94-44=50" ]
Current State: 50:[64, 30, 53, 97], Operations: [] Exploring Operation: 64+30=94, Resulting Numbers: [53, 97, 94] Generated Node #2: [53, 97, 94] from Operation: 64+30=94 Current State: 50:[53, 97, 94], Operations: ['64+30=94'] Exploring Operation: 97-53=44, Resulting Numbers: [94, 44] Generated Node #3: [94, 44] from Operation: 97-53=44 Current State: 50:[94, 44], Operations: ['64+30=94', '97-53=44'] Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 43, 36, 5 ]
96
[ "35*5=175", "43+36=79", "175-79=96" ]
Current State: 96:[35, 43, 36, 5], Operations: [] Exploring Operation: 35*5=175, Resulting Numbers: [43, 36, 175] Generated Node #2: [43, 36, 175] from Operation: 35*5=175 Current State: 96:[43, 36, 175], Operations: ['35*5=175'] Exploring Operation: 43+36=79, Resulting Numbers: [175, 79] Generated Node #3: [175, 79] from Operation: 43+36=79 Current State: 96:[175, 79], Operations: ['35*5=175', '43+36=79'] Exploring Operation: 175-79=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 94, 2, 63, 37 ]
53
[ "94/2=47", "63+37=100", "100-47=53" ]
Current State: 53:[94, 2, 63, 37], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [63, 37, 47] Generated Node #2: [63, 37, 47] from Operation: 94/2=47 Current State: 53:[63, 37, 47], Operations: ['94/2=47'] Exploring Operation: 63+37=100, Resulting Numbers: [47, 100] Generated Node #3: [47, 100] from Operation: 63+37=100 Current State: 53:[47, 100], Operations: ['94/2=47', '63+37=100'] Exploring Operation: 100-47=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 60, 45, 76 ]
88
[ "60-3=57", "76-45=31", "57+31=88" ]
Current State: 88:[3, 60, 45, 76], Operations: [] Exploring Operation: 60-3=57, Resulting Numbers: [45, 76, 57] Generated Node #2: [45, 76, 57] from Operation: 60-3=57 Current State: 88:[45, 76, 57], Operations: ['60-3=57'] Exploring Operation: 76-45=31, Resulting Numbers: [57, 31] Generated Node #3: [57, 31] from Operation: 76-45=31 Current State: 88:[57, 31], Operations: ['60-3=57', '76-45=31'] Exploring Operation: 57+31=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 27, 2, 37, 7 ]
19
[ "27-2=25", "37+7=44", "44-25=19" ]
Current State: 19:[27, 2, 37, 7], Operations: [] Exploring Operation: 27-2=25, Resulting Numbers: [37, 7, 25] Generated Node #2: [37, 7, 25] from Operation: 27-2=25 Current State: 19:[37, 7, 25], Operations: ['27-2=25'] Exploring Operation: 37+7=44, Resulting Numbers: [25, 44] Generated Node #3: [25, 44] from Operation: 37+7=44 Current State: 19:[25, 44], Operations: ['27-2=25', '37+7=44'] Exploring Operation: 44-25=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 22, 6, 48 ]
38
[ "22-6=16", "48/16=3", "35+3=38" ]
Current State: 38:[35, 22, 6, 48], Operations: [] Exploring Operation: 22-6=16, Resulting Numbers: [35, 48, 16] Generated Node #2: [35, 48, 16] from Operation: 22-6=16 Current State: 38:[35, 48, 16], Operations: ['22-6=16'] Exploring Operation: 48/16=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 48/16=3 Current State: 38:[35, 3], Operations: ['22-6=16', '48/16=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 35, 20, 49, 61 ]
95
[ "35-20=15", "49+61=110", "110-15=95" ]
Current State: 95:[35, 20, 49, 61], Operations: [] Exploring Operation: 35-20=15, Resulting Numbers: [49, 61, 15] Generated Node #2: [49, 61, 15] from Operation: 35-20=15 Current State: 95:[49, 61, 15], Operations: ['35-20=15'] Exploring Operation: 49+61=110, Resulting Numbers: [15, 110] Generated Node #3: [15, 110] from Operation: 49+61=110 Current State: 95:[15, 110], Operations: ['35-20=15', '49+61=110'] Exploring Operation: 110-15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 6, 23, 82, 12 ]
77
[ "23-6=17", "82+12=94", "94-17=77" ]
Current State: 77:[6, 23, 82, 12], Operations: [] Exploring Operation: 23-6=17, Resulting Numbers: [82, 12, 17] Generated Node #2: [82, 12, 17] from Operation: 23-6=17 Current State: 77:[82, 12, 17], Operations: ['23-6=17'] Exploring Operation: 82+12=94, Resulting Numbers: [17, 94] Generated Node #3: [17, 94] from Operation: 82+12=94 Current State: 77:[17, 94], Operations: ['23-6=17', '82+12=94'] Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 77, 86, 33, 45 ]
69
[ "86-77=9", "33+45=78", "78-9=69" ]
Current State: 69:[77, 86, 33, 45], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [33, 45, 9] Generated Node #2: [33, 45, 9] from Operation: 86-77=9 Current State: 69:[33, 45, 9], Operations: ['86-77=9'] Exploring Operation: 33+45=78, Resulting Numbers: [9, 78] Generated Node #3: [9, 78] from Operation: 33+45=78 Current State: 69:[9, 78], Operations: ['86-77=9', '33+45=78'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 90, 30, 14, 21 ]
67
[ "90-30=60", "21-14=7", "60+7=67" ]
Current State: 67:[90, 30, 14, 21], Operations: [] Exploring Operation: 90-30=60, Resulting Numbers: [14, 21, 60] Generated Node #2: [14, 21, 60] from Operation: 90-30=60 Current State: 67:[14, 21, 60], Operations: ['90-30=60'] Exploring Operation: 21-14=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 21-14=7 Current State: 67:[60, 7], Operations: ['90-30=60', '21-14=7'] Exploring Operation: 60+7=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 47, 92, 67, 90 ]
69
[ "92-47=45", "90/45=2", "67+2=69" ]
Current State: 69:[47, 92, 67, 90], Operations: [] Exploring Operation: 92-47=45, Resulting Numbers: [67, 90, 45] Generated Node #2: [67, 90, 45] from Operation: 92-47=45 Current State: 69:[67, 90, 45], Operations: ['92-47=45'] Exploring Operation: 90/45=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 90/45=2 Current State: 69:[67, 2], Operations: ['92-47=45', '90/45=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 16, 46, 12, 69 ]
19
[ "16+46=62", "12+69=81", "81-62=19" ]
Current State: 19:[16, 46, 12, 69], Operations: [] Exploring Operation: 16+46=62, Resulting Numbers: [12, 69, 62] Generated Node #2: [12, 69, 62] from Operation: 16+46=62 Current State: 19:[12, 69, 62], Operations: ['16+46=62'] Exploring Operation: 12+69=81, Resulting Numbers: [62, 81] Generated Node #3: [62, 81] from Operation: 12+69=81 Current State: 19:[62, 81], Operations: ['16+46=62', '12+69=81'] Exploring Operation: 81-62=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 30, 86, 31, 44 ]
24
[ "30*44=1320", "86-31=55", "1320/55=24" ]
Current State: 24:[30, 86, 31, 44], Operations: [] Exploring Operation: 30*44=1320, Resulting Numbers: [86, 31, 1320] Generated Node #2: [86, 31, 1320] from Operation: 30*44=1320 Current State: 24:[86, 31, 1320], Operations: ['30*44=1320'] Exploring Operation: 86-31=55, Resulting Numbers: [1320, 55] Generated Node #3: [1320, 55] from Operation: 86-31=55 Current State: 24:[1320, 55], Operations: ['30*44=1320', '86-31=55'] Exploring Operation: 1320/55=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 89, 20, 85, 18 ]
90
[ "89-85=4", "20*18=360", "360/4=90" ]
Current State: 90:[89, 20, 85, 18], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [20, 18, 4] Generated Node #2: [20, 18, 4] from Operation: 89-85=4 Current State: 90:[20, 18, 4], Operations: ['89-85=4'] Exploring Operation: 20*18=360, Resulting Numbers: [4, 360] Generated Node #3: [4, 360] from Operation: 20*18=360 Current State: 90:[4, 360], Operations: ['89-85=4', '20*18=360'] Exploring Operation: 360/4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 62, 4, 89, 65 ]
82
[ "62-4=58", "89-65=24", "58+24=82" ]
Current State: 82:[62, 4, 89, 65], Operations: [] Exploring Operation: 62-4=58, Resulting Numbers: [89, 65, 58] Generated Node #2: [89, 65, 58] from Operation: 62-4=58 Current State: 82:[89, 65, 58], Operations: ['62-4=58'] Exploring Operation: 89-65=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 89-65=24 Current State: 82:[58, 24], Operations: ['62-4=58', '89-65=24'] Exploring Operation: 58+24=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 3, 47, 9, 2 ]
42
[ "9/3=3", "47-2=45", "45-3=42" ]
Current State: 42:[3, 47, 9, 2], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [47, 2, 3] Generated Node #2: [47, 2, 3] from Operation: 9/3=3 Current State: 42:[47, 2, 3], Operations: ['9/3=3'] Exploring Operation: 47-2=45, Resulting Numbers: [3, 45] Generated Node #3: [3, 45] from Operation: 47-2=45 Current State: 42:[3, 45], Operations: ['9/3=3', '47-2=45'] Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 98, 68, 23, 68 ]
15
[ "98-68=30", "68-23=45", "45-30=15" ]
Current State: 15:[98, 68, 23, 68], Operations: [] Exploring Operation: 98-68=30, Resulting Numbers: [23, 30] Generated Node #2: [23, 30] from Operation: 98-68=30 Current State: 15:[23, 30], Operations: ['98-68=30'] Exploring Operation: 68-23=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 68-23=45 Current State: 15:[30, 45], Operations: ['98-68=30', '68-23=45'] Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 38, 56, 80, 42 ]
96
[ "42-38=4", "80-56=24", "4*24=96" ]
Current State: 96:[38, 56, 80, 42], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [56, 80, 4] Generated Node #2: [56, 80, 4] from Operation: 42-38=4 Current State: 96:[56, 80, 4], Operations: ['42-38=4'] Exploring Operation: 80-56=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 80-56=24 Current State: 96:[4, 24], Operations: ['42-38=4', '80-56=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 1, 89, 62, 87 ]
31
[ "1*89=89", "89-87=2", "62/2=31" ]
Current State: 31:[1, 89, 62, 87], Operations: [] Exploring Operation: 1*89=89, Resulting Numbers: [62, 87, 89] Generated Node #2: [62, 87, 89] from Operation: 1*89=89 Current State: 31:[62, 87, 89], Operations: ['1*89=89'] Exploring Operation: 89-87=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 89-87=2 Current State: 31:[62, 2], Operations: ['1*89=89', '89-87=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 41, 83, 9, 68 ]
80
[ "68-41=27", "27/9=3", "83-3=80" ]
Current State: 80:[41, 83, 9, 68], Operations: [] Exploring Operation: 68-41=27, Resulting Numbers: [83, 9, 27] Generated Node #2: [83, 9, 27] from Operation: 68-41=27 Current State: 80:[83, 9, 27], Operations: ['68-41=27'] Exploring Operation: 27/9=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 27/9=3 Current State: 80:[83, 3], Operations: ['68-41=27', '27/9=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 37, 29, 74 ]
22
[ "37-29=8", "12*8=96", "96-74=22" ]
Current State: 22:[12, 37, 29, 74], Operations: [] Exploring Operation: 37-29=8, Resulting Numbers: [12, 74, 8] Generated Node #2: [12, 74, 8] from Operation: 37-29=8 Current State: 22:[12, 74, 8], Operations: ['37-29=8'] Exploring Operation: 12*8=96, Resulting Numbers: [74, 96] Generated Node #3: [74, 96] from Operation: 12*8=96 Current State: 22:[74, 96], Operations: ['37-29=8', '12*8=96'] Exploring Operation: 96-74=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 58, 3, 2, 64 ]
67
[ "58+3=61", "2*64=128", "128-61=67" ]
Current State: 67:[58, 3, 2, 64], Operations: [] Exploring Operation: 58+3=61, Resulting Numbers: [2, 64, 61] Generated Node #2: [2, 64, 61] from Operation: 58+3=61 Current State: 67:[2, 64, 61], Operations: ['58+3=61'] Exploring Operation: 2*64=128, Resulting Numbers: [61, 128] Generated Node #3: [61, 128] from Operation: 2*64=128 Current State: 67:[61, 128], Operations: ['58+3=61', '2*64=128'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 7, 30, 54, 24 ]
63
[ "7*54=378", "30-24=6", "378/6=63" ]
Current State: 63:[7, 30, 54, 24], Operations: [] Exploring Operation: 7*54=378, Resulting Numbers: [30, 24, 378] Generated Node #2: [30, 24, 378] from Operation: 7*54=378 Current State: 63:[30, 24, 378], Operations: ['7*54=378'] Exploring Operation: 30-24=6, Resulting Numbers: [378, 6] Generated Node #3: [378, 6] from Operation: 30-24=6 Current State: 63:[378, 6], Operations: ['7*54=378', '30-24=6'] Exploring Operation: 378/6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 25, 97, 40, 69 ]
93
[ "25+97=122", "69-40=29", "122-29=93" ]
Current State: 93:[25, 97, 40, 69], Operations: [] Exploring Operation: 25+97=122, Resulting Numbers: [40, 69, 122] Generated Node #2: [40, 69, 122] from Operation: 25+97=122 Current State: 93:[40, 69, 122], Operations: ['25+97=122'] Exploring Operation: 69-40=29, Resulting Numbers: [122, 29] Generated Node #3: [122, 29] from Operation: 69-40=29 Current State: 93:[122, 29], Operations: ['25+97=122', '69-40=29'] Exploring Operation: 122-29=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 1, 59, 4, 99 ]
84
[ "1+59=60", "60/4=15", "99-15=84" ]
Current State: 84:[1, 59, 4, 99], Operations: [] Exploring Operation: 1+59=60, Resulting Numbers: [4, 99, 60] Generated Node #2: [4, 99, 60] from Operation: 1+59=60 Current State: 84:[4, 99, 60], Operations: ['1+59=60'] Exploring Operation: 60/4=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 60/4=15 Current State: 84:[99, 15], Operations: ['1+59=60', '60/4=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 81, 20, 98 ]
22
[ "64+98=162", "162/81=2", "20+2=22" ]
Current State: 22:[64, 81, 20, 98], Operations: [] Exploring Operation: 64+98=162, Resulting Numbers: [81, 20, 162] Generated Node #2: [81, 20, 162] from Operation: 64+98=162 Current State: 22:[81, 20, 162], Operations: ['64+98=162'] Exploring Operation: 162/81=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 162/81=2 Current State: 22:[20, 2], Operations: ['64+98=162', '162/81=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 44, 70, 64, 24 ]
66
[ "70-44=26", "64-24=40", "26+40=66" ]
Current State: 66:[44, 70, 64, 24], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [64, 24, 26] Generated Node #2: [64, 24, 26] from Operation: 70-44=26 Current State: 66:[64, 24, 26], Operations: ['70-44=26'] Exploring Operation: 64-24=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 64-24=40 Current State: 66:[26, 40], Operations: ['70-44=26', '64-24=40'] Exploring Operation: 26+40=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 5, 41, 34 ]
10
[ "14*5=70", "41-34=7", "70/7=10" ]
Current State: 10:[14, 5, 41, 34], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [41, 34, 70] Generated Node #2: [41, 34, 70] from Operation: 14*5=70 Current State: 10:[41, 34, 70], Operations: ['14*5=70'] Exploring Operation: 41-34=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 41-34=7 Current State: 10:[70, 7], Operations: ['14*5=70', '41-34=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 47, 18, 49, 56 ]
22
[ "47-18=29", "56-49=7", "29-7=22" ]
Current State: 22:[47, 18, 49, 56], Operations: [] Exploring Operation: 47-18=29, Resulting Numbers: [49, 56, 29] Generated Node #2: [49, 56, 29] from Operation: 47-18=29 Current State: 22:[49, 56, 29], Operations: ['47-18=29'] Exploring Operation: 56-49=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 56-49=7 Current State: 22:[29, 7], Operations: ['47-18=29', '56-49=7'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 26, 36, 37 ]
51
[ "36/3=12", "26+37=63", "63-12=51" ]
Current State: 51:[3, 26, 36, 37], Operations: [] Exploring Operation: 36/3=12, Resulting Numbers: [26, 37, 12] Generated Node #2: [26, 37, 12] from Operation: 36/3=12 Current State: 51:[26, 37, 12], Operations: ['36/3=12'] Exploring Operation: 26+37=63, Resulting Numbers: [12, 63] Generated Node #3: [12, 63] from Operation: 26+37=63 Current State: 51:[12, 63], Operations: ['36/3=12', '26+37=63'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 83, 25, 13, 12 ]
92
[ "83*13=1079", "25+1079=1104", "1104/12=92" ]
Current State: 92:[83, 25, 13, 12], Operations: [] Exploring Operation: 83*13=1079, Resulting Numbers: [25, 12, 1079] Generated Node #2: [25, 12, 1079] from Operation: 83*13=1079 Current State: 92:[25, 12, 1079], Operations: ['83*13=1079'] Exploring Operation: 25+1079=1104, Resulting Numbers: [12, 1104] Generated Node #3: [12, 1104] from Operation: 25+1079=1104 Current State: 92:[12, 1104], Operations: ['83*13=1079', '25+1079=1104'] Exploring Operation: 1104/12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 88, 68, 33, 17 ]
30
[ "88-68=20", "33+17=50", "50-20=30" ]
Current State: 30:[88, 68, 33, 17], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [33, 17, 20] Generated Node #2: [33, 17, 20] from Operation: 88-68=20 Current State: 30:[33, 17, 20], Operations: ['88-68=20'] Exploring Operation: 33+17=50, Resulting Numbers: [20, 50] Generated Node #3: [20, 50] from Operation: 33+17=50 Current State: 30:[20, 50], Operations: ['88-68=20', '33+17=50'] Exploring Operation: 50-20=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 77, 21, 15 ]
73
[ "21+15=36", "36/9=4", "77-4=73" ]
Current State: 73:[9, 77, 21, 15], Operations: [] Exploring Operation: 21+15=36, Resulting Numbers: [9, 77, 36] Generated Node #2: [9, 77, 36] from Operation: 21+15=36 Current State: 73:[9, 77, 36], Operations: ['21+15=36'] Exploring Operation: 36/9=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 36/9=4 Current State: 73:[77, 4], Operations: ['21+15=36', '36/9=4'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 25, 83, 27 ]
38
[ "83-64=19", "27-25=2", "19*2=38" ]
Current State: 38:[64, 25, 83, 27], Operations: [] Exploring Operation: 83-64=19, Resulting Numbers: [25, 27, 19] Generated Node #2: [25, 27, 19] from Operation: 83-64=19 Current State: 38:[25, 27, 19], Operations: ['83-64=19'] Exploring Operation: 27-25=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 27-25=2 Current State: 38:[19, 2], Operations: ['83-64=19', '27-25=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 69, 11, 31, 99 ]
72
[ "69-11=58", "31+99=130", "130-58=72" ]
Current State: 72:[69, 11, 31, 99], Operations: [] Exploring Operation: 69-11=58, Resulting Numbers: [31, 99, 58] Generated Node #2: [31, 99, 58] from Operation: 69-11=58 Current State: 72:[31, 99, 58], Operations: ['69-11=58'] Exploring Operation: 31+99=130, Resulting Numbers: [58, 130] Generated Node #3: [58, 130] from Operation: 31+99=130 Current State: 72:[58, 130], Operations: ['69-11=58', '31+99=130'] Exploring Operation: 130-58=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 96, 7, 20 ]
94
[ "7+20=27", "54/27=2", "96-2=94" ]
Current State: 94:[54, 96, 7, 20], Operations: [] Exploring Operation: 7+20=27, Resulting Numbers: [54, 96, 27] Generated Node #2: [54, 96, 27] from Operation: 7+20=27 Current State: 94:[54, 96, 27], Operations: ['7+20=27'] Exploring Operation: 54/27=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 54/27=2 Current State: 94:[96, 2], Operations: ['7+20=27', '54/27=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 68, 4, 29, 70 ]
54
[ "70-68=2", "29*2=58", "58-4=54" ]
Current State: 54:[68, 4, 29, 70], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [4, 29, 2] Generated Node #2: [4, 29, 2] from Operation: 70-68=2 Current State: 54:[4, 29, 2], Operations: ['70-68=2'] Exploring Operation: 29*2=58, Resulting Numbers: [4, 58] Generated Node #3: [4, 58] from Operation: 29*2=58 Current State: 54:[4, 58], Operations: ['70-68=2', '29*2=58'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 15, 2, 49, 10 ]
27
[ "15+49=64", "64-10=54", "54/2=27" ]
Current State: 27:[15, 2, 49, 10], Operations: [] Exploring Operation: 15+49=64, Resulting Numbers: [2, 10, 64] Generated Node #2: [2, 10, 64] from Operation: 15+49=64 Current State: 27:[2, 10, 64], Operations: ['15+49=64'] Exploring Operation: 64-10=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 64-10=54 Current State: 27:[2, 54], Operations: ['15+49=64', '64-10=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 53, 96, 85, 31 ]
93
[ "85-53=32", "96*31=2976", "2976/32=93" ]
Current State: 93:[53, 96, 85, 31], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [96, 31, 32] Generated Node #2: [96, 31, 32] from Operation: 85-53=32 Current State: 93:[96, 31, 32], Operations: ['85-53=32'] Exploring Operation: 96*31=2976, Resulting Numbers: [32, 2976] Generated Node #3: [32, 2976] from Operation: 96*31=2976 Current State: 93:[32, 2976], Operations: ['85-53=32', '96*31=2976'] Exploring Operation: 2976/32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 65, 44, 37, 34 ]
38
[ "65+44=109", "37+34=71", "109-71=38" ]
Current State: 38:[65, 44, 37, 34], Operations: [] Exploring Operation: 65+44=109, Resulting Numbers: [37, 34, 109] Generated Node #2: [37, 34, 109] from Operation: 65+44=109 Current State: 38:[37, 34, 109], Operations: ['65+44=109'] Exploring Operation: 37+34=71, Resulting Numbers: [109, 71] Generated Node #3: [109, 71] from Operation: 37+34=71 Current State: 38:[109, 71], Operations: ['65+44=109', '37+34=71'] Exploring Operation: 109-71=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 29, 22, 14, 37 ]
28
[ "29+22=51", "37-14=23", "51-23=28" ]
Current State: 28:[29, 22, 14, 37], Operations: [] Exploring Operation: 29+22=51, Resulting Numbers: [14, 37, 51] Generated Node #2: [14, 37, 51] from Operation: 29+22=51 Current State: 28:[14, 37, 51], Operations: ['29+22=51'] Exploring Operation: 37-14=23, Resulting Numbers: [51, 23] Generated Node #3: [51, 23] from Operation: 37-14=23 Current State: 28:[51, 23], Operations: ['29+22=51', '37-14=23'] Exploring Operation: 51-23=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 3, 74, 39 ]
14
[ "7*3=21", "74-39=35", "35-21=14" ]
Current State: 14:[7, 3, 74, 39], Operations: [] Exploring Operation: 7*3=21, Resulting Numbers: [74, 39, 21] Generated Node #2: [74, 39, 21] from Operation: 7*3=21 Current State: 14:[74, 39, 21], Operations: ['7*3=21'] Exploring Operation: 74-39=35, Resulting Numbers: [21, 35] Generated Node #3: [21, 35] from Operation: 74-39=35 Current State: 14:[21, 35], Operations: ['7*3=21', '74-39=35'] Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 87, 75, 94 ]
46
[ "94-75=19", "7*19=133", "133-87=46" ]
Current State: 46:[7, 87, 75, 94], Operations: [] Exploring Operation: 94-75=19, Resulting Numbers: [7, 87, 19] Generated Node #2: [7, 87, 19] from Operation: 94-75=19 Current State: 46:[7, 87, 19], Operations: ['94-75=19'] Exploring Operation: 7*19=133, Resulting Numbers: [87, 133] Generated Node #3: [87, 133] from Operation: 7*19=133 Current State: 46:[87, 133], Operations: ['94-75=19', '7*19=133'] Exploring Operation: 133-87=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 17, 97, 53, 39 ]
45
[ "97+39=136", "136/17=8", "53-8=45" ]
Current State: 45:[17, 97, 53, 39], Operations: [] Exploring Operation: 97+39=136, Resulting Numbers: [17, 53, 136] Generated Node #2: [17, 53, 136] from Operation: 97+39=136 Current State: 45:[17, 53, 136], Operations: ['97+39=136'] Exploring Operation: 136/17=8, Resulting Numbers: [53, 8] Generated Node #3: [53, 8] from Operation: 136/17=8 Current State: 45:[53, 8], Operations: ['97+39=136', '136/17=8'] Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 71, 74, 29, 68 ]
73
[ "71+74=145", "145/29=5", "68+5=73" ]
Current State: 73:[71, 74, 29, 68], Operations: [] Exploring Operation: 71+74=145, Resulting Numbers: [29, 68, 145] Generated Node #2: [29, 68, 145] from Operation: 71+74=145 Current State: 73:[29, 68, 145], Operations: ['71+74=145'] Exploring Operation: 145/29=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 145/29=5 Current State: 73:[68, 5], Operations: ['71+74=145', '145/29=5'] Exploring Operation: 68+5=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 90, 71, 8, 89 ]
79
[ "90-89=1", "71+8=79", "1*79=79" ]
Current State: 79:[90, 71, 8, 89], Operations: [] Exploring Operation: 90-89=1, Resulting Numbers: [71, 8, 1] Generated Node #2: [71, 8, 1] from Operation: 90-89=1 Current State: 79:[71, 8, 1], Operations: ['90-89=1'] Exploring Operation: 71+8=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 71+8=79 Current State: 79:[1, 79], Operations: ['90-89=1', '71+8=79'] Exploring Operation: 1*79=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 78, 63, 74, 16 ]
98
[ "74-63=11", "16*11=176", "176-78=98" ]
Current State: 98:[78, 63, 74, 16], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [78, 16, 11] Generated Node #2: [78, 16, 11] from Operation: 74-63=11 Current State: 98:[78, 16, 11], Operations: ['74-63=11'] Exploring Operation: 16*11=176, Resulting Numbers: [78, 176] Generated Node #3: [78, 176] from Operation: 16*11=176 Current State: 98:[78, 176], Operations: ['74-63=11', '16*11=176'] Exploring Operation: 176-78=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 37, 2, 38, 26 ]
28
[ "38-37=1", "2+26=28", "1*28=28" ]
Current State: 28:[37, 2, 38, 26], Operations: [] Exploring Operation: 38-37=1, Resulting Numbers: [2, 26, 1] Generated Node #2: [2, 26, 1] from Operation: 38-37=1 Current State: 28:[2, 26, 1], Operations: ['38-37=1'] Exploring Operation: 2+26=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 2+26=28 Current State: 28:[1, 28], Operations: ['38-37=1', '2+26=28'] Exploring Operation: 1*28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 23, 23, 81 ]
37
[ "72+23=95", "81-23=58", "95-58=37" ]
Current State: 37:[72, 23, 23, 81], Operations: [] Exploring Operation: 72+23=95, Resulting Numbers: [81, 95] Generated Node #2: [81, 95] from Operation: 72+23=95 Current State: 37:[81, 95], Operations: ['72+23=95'] Exploring Operation: 81-23=58, Resulting Numbers: [95, 58] Generated Node #3: [95, 58] from Operation: 81-23=58 Current State: 37:[95, 58], Operations: ['72+23=95', '81-23=58'] Exploring Operation: 95-58=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 74, 31, 67 ]
36
[ "74-12=62", "31+67=98", "98-62=36" ]
Current State: 36:[12, 74, 31, 67], Operations: [] Exploring Operation: 74-12=62, Resulting Numbers: [31, 67, 62] Generated Node #2: [31, 67, 62] from Operation: 74-12=62 Current State: 36:[31, 67, 62], Operations: ['74-12=62'] Exploring Operation: 31+67=98, Resulting Numbers: [62, 98] Generated Node #3: [62, 98] from Operation: 31+67=98 Current State: 36:[62, 98], Operations: ['74-12=62', '31+67=98'] Exploring Operation: 98-62=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 51, 72, 61, 5 ]
44
[ "72-51=21", "5*21=105", "105-61=44" ]
Current State: 44:[51, 72, 61, 5], Operations: [] Exploring Operation: 72-51=21, Resulting Numbers: [61, 5, 21] Generated Node #2: [61, 5, 21] from Operation: 72-51=21 Current State: 44:[61, 5, 21], Operations: ['72-51=21'] Exploring Operation: 5*21=105, Resulting Numbers: [61, 105] Generated Node #3: [61, 105] from Operation: 5*21=105 Current State: 44:[61, 105], Operations: ['72-51=21', '5*21=105'] Exploring Operation: 105-61=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 46, 13, 72, 34 ]
19
[ "46-34=12", "72/12=6", "13+6=19" ]
Current State: 19:[46, 13, 72, 34], Operations: [] Exploring Operation: 46-34=12, Resulting Numbers: [13, 72, 12] Generated Node #2: [13, 72, 12] from Operation: 46-34=12 Current State: 19:[13, 72, 12], Operations: ['46-34=12'] Exploring Operation: 72/12=6, Resulting Numbers: [13, 6] Generated Node #3: [13, 6] from Operation: 72/12=6 Current State: 19:[13, 6], Operations: ['46-34=12', '72/12=6'] Exploring Operation: 13+6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 27, 76, 10 ]
32
[ "14-10=4", "27*4=108", "108-76=32" ]
Current State: 32:[14, 27, 76, 10], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [27, 76, 4] Generated Node #2: [27, 76, 4] from Operation: 14-10=4 Current State: 32:[27, 76, 4], Operations: ['14-10=4'] Exploring Operation: 27*4=108, Resulting Numbers: [76, 108] Generated Node #3: [76, 108] from Operation: 27*4=108 Current State: 32:[76, 108], Operations: ['14-10=4', '27*4=108'] Exploring Operation: 108-76=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 99, 15, 35, 33 ]
53
[ "99/33=3", "15+35=50", "3+50=53" ]
Current State: 53:[99, 15, 35, 33], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [15, 35, 3] Generated Node #2: [15, 35, 3] from Operation: 99/33=3 Current State: 53:[15, 35, 3], Operations: ['99/33=3'] Exploring Operation: 15+35=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 15+35=50 Current State: 53:[3, 50], Operations: ['99/33=3', '15+35=50'] Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 41, 99, 72, 41 ]
89
[ "99-41=58", "72-41=31", "58+31=89" ]
Current State: 89:[41, 99, 72, 41], Operations: [] Exploring Operation: 99-41=58, Resulting Numbers: [72, 58] Generated Node #2: [72, 58] from Operation: 99-41=58 Current State: 89:[72, 58], Operations: ['99-41=58'] Exploring Operation: 72-41=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 72-41=31 Current State: 89:[58, 31], Operations: ['99-41=58', '72-41=31'] Exploring Operation: 58+31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 68, 24, 98, 71 ]
77
[ "68+24=92", "98+71=169", "169-92=77" ]
Current State: 77:[68, 24, 98, 71], Operations: [] Exploring Operation: 68+24=92, Resulting Numbers: [98, 71, 92] Generated Node #2: [98, 71, 92] from Operation: 68+24=92 Current State: 77:[98, 71, 92], Operations: ['68+24=92'] Exploring Operation: 98+71=169, Resulting Numbers: [92, 169] Generated Node #3: [92, 169] from Operation: 98+71=169 Current State: 77:[92, 169], Operations: ['68+24=92', '98+71=169'] Exploring Operation: 169-92=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 52, 43, 8 ]
10
[ "82+8=90", "52-43=9", "90/9=10" ]
Current State: 10:[82, 52, 43, 8], Operations: [] Exploring Operation: 82+8=90, Resulting Numbers: [52, 43, 90] Generated Node #2: [52, 43, 90] from Operation: 82+8=90 Current State: 10:[52, 43, 90], Operations: ['82+8=90'] Exploring Operation: 52-43=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 52-43=9 Current State: 10:[90, 9], Operations: ['82+8=90', '52-43=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 76, 85, 8, 48 ]
14
[ "85+48=133", "8*133=1064", "1064/76=14" ]
Current State: 14:[76, 85, 8, 48], Operations: [] Exploring Operation: 85+48=133, Resulting Numbers: [76, 8, 133] Generated Node #2: [76, 8, 133] from Operation: 85+48=133 Current State: 14:[76, 8, 133], Operations: ['85+48=133'] Exploring Operation: 8*133=1064, Resulting Numbers: [76, 1064] Generated Node #3: [76, 1064] from Operation: 8*133=1064 Current State: 14:[76, 1064], Operations: ['85+48=133', '8*133=1064'] Exploring Operation: 1064/76=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 33, 63, 20 ]
29
[ "20/20=1", "63-33=30", "30-1=29" ]
Current State: 29:[20, 33, 63, 20], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [33, 63, 1] Generated Node #2: [33, 63, 1] from Operation: 20/20=1 Current State: 29:[33, 63, 1], Operations: ['20/20=1'] Exploring Operation: 63-33=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 63-33=30 Current State: 29:[1, 30], Operations: ['20/20=1', '63-33=30'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 36, 71, 47 ]
34
[ "46-36=10", "71-47=24", "10+24=34" ]
Current State: 34:[46, 36, 71, 47], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [71, 47, 10] Generated Node #2: [71, 47, 10] from Operation: 46-36=10 Current State: 34:[71, 47, 10], Operations: ['46-36=10'] Exploring Operation: 71-47=24, Resulting Numbers: [10, 24] Generated Node #3: [10, 24] from Operation: 71-47=24 Current State: 34:[10, 24], Operations: ['46-36=10', '71-47=24'] Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 11, 9, 4, 12 ]
45
[ "11+4=15", "12-9=3", "15*3=45" ]
Current State: 45:[11, 9, 4, 12], Operations: [] Exploring Operation: 11+4=15, Resulting Numbers: [9, 12, 15] Generated Node #2: [9, 12, 15] from Operation: 11+4=15 Current State: 45:[9, 12, 15], Operations: ['11+4=15'] Exploring Operation: 12-9=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 12-9=3 Current State: 45:[15, 3], Operations: ['11+4=15', '12-9=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 13, 5, 44 ]
44
[ "5-5=0", "13*0=0", "44+0=44" ]
Current State: 44:[5, 13, 5, 44], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [13, 44, 0] Generated Node #2: [13, 44, 0] from Operation: 5-5=0 Current State: 44:[13, 44, 0], Operations: ['5-5=0'] Exploring Operation: 13*0=0, Resulting Numbers: [44, 0] Generated Node #3: [44, 0] from Operation: 13*0=0 Current State: 44:[44, 0], Operations: ['5-5=0', '13*0=0'] Exploring Operation: 44+0=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 46, 77, 84 ]
31
[ "46-8=38", "84-77=7", "38-7=31" ]
Current State: 31:[8, 46, 77, 84], Operations: [] Exploring Operation: 46-8=38, Resulting Numbers: [77, 84, 38] Generated Node #2: [77, 84, 38] from Operation: 46-8=38 Current State: 31:[77, 84, 38], Operations: ['46-8=38'] Exploring Operation: 84-77=7, Resulting Numbers: [38, 7] Generated Node #3: [38, 7] from Operation: 84-77=7 Current State: 31:[38, 7], Operations: ['46-8=38', '84-77=7'] Exploring Operation: 38-7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 80, 33, 66, 81 ]
100
[ "80-33=47", "66+81=147", "147-47=100" ]
Current State: 100:[80, 33, 66, 81], Operations: [] Exploring Operation: 80-33=47, Resulting Numbers: [66, 81, 47] Generated Node #2: [66, 81, 47] from Operation: 80-33=47 Current State: 100:[66, 81, 47], Operations: ['80-33=47'] Exploring Operation: 66+81=147, Resulting Numbers: [47, 147] Generated Node #3: [47, 147] from Operation: 66+81=147 Current State: 100:[47, 147], Operations: ['80-33=47', '66+81=147'] Exploring Operation: 147-47=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 39, 75, 9, 66 ]
93
[ "75-39=36", "66-9=57", "36+57=93" ]
Current State: 93:[39, 75, 9, 66], Operations: [] Exploring Operation: 75-39=36, Resulting Numbers: [9, 66, 36] Generated Node #2: [9, 66, 36] from Operation: 75-39=36 Current State: 93:[9, 66, 36], Operations: ['75-39=36'] Exploring Operation: 66-9=57, Resulting Numbers: [36, 57] Generated Node #3: [36, 57] from Operation: 66-9=57 Current State: 93:[36, 57], Operations: ['75-39=36', '66-9=57'] Exploring Operation: 36+57=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 88, 75, 8 ]
96
[ "88-75=13", "8*13=104", "104-8=96" ]
Current State: 96:[8, 88, 75, 8], Operations: [] Exploring Operation: 88-75=13, Resulting Numbers: [8, 8, 13] Generated Node #2: [8, 8, 13] from Operation: 88-75=13 Current State: 96:[8, 8, 13], Operations: ['88-75=13'] Exploring Operation: 8*13=104, Resulting Numbers: [104] 104,96 equal: Goal Reached Exploring Operation: 104-8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 9, 90, 83 ]
11
[ "97+83=180", "180/90=2", "9+2=11" ]
Current State: 11:[97, 9, 90, 83], Operations: [] Exploring Operation: 97+83=180, Resulting Numbers: [9, 90, 180] Generated Node #2: [9, 90, 180] from Operation: 97+83=180 Current State: 11:[9, 90, 180], Operations: ['97+83=180'] Exploring Operation: 180/90=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 180/90=2 Current State: 11:[9, 2], Operations: ['97+83=180', '180/90=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4