Split (1)

train · 500k rows

nums listlengths 4 4	target int64 10 100	solution listlengths 3 3	optimal_path stringlengths 282 529	start_size int64 4 4	search_path stringlengths 505 16.8k	rating float64 0 0.99	search_type stringclasses 5 values	heuristic stringclasses 2 values
[ 48, 94, 10, 59 ]	73	[ "48+94=142", "10+59=69", "142-69=73" ]	Current State: 73:[48, 94, 10, 59], Operations: [] Exploring Operation: 48+94=142, Resulting Numbers: [10, 59, 142] Generated Node #2: [10, 59, 142] from Operation: 48+94=142 Current State: 73:[10, 59, 142], Operations: ['48+94=142'] Exploring Operation: 10+59=69, Resulting Numbers: [142, 69] Generated Node #3: [142, 69] from Operation: 10+59=69 Current State: 73:[142, 69], Operations: ['48+94=142', '10+59=69'] Exploring Operation: 142-69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached	4	Current State: 73:[48, 94, 10, 59], Operations: [] Exploring Operation: 10+59=69, Resulting Numbers: [48, 94, 69] Generated Node #0,0: 73:[48, 94, 69] Operation: 10+59=69 Exploring Operation: 94+10=104, Resulting Numbers: [48, 59, 104] Generated Node #0,1: 73:[48, 59, 104] Operation: 94+10=104 Exploring Operation: 94-10=84, Resulting Numbers: [48, 59, 84] Generated Node #0,2: 73:[48, 59, 84] Operation: 94-10=84 Exploring Operation: 48+10=58, Resulting Numbers: [94, 59, 58] Generated Node #0,3: 73:[94, 59, 58] Operation: 48+10=58 Exploring Operation: 48-10=38, Resulting Numbers: [94, 59, 38] Generated Node #0,4: 73:[94, 59, 38] Operation: 48-10=38 Moving to Node #0,0 Current State: 73:[48, 94, 69], Operations: ['10+59=69'] Exploring Operation: 48+94=142, Resulting Numbers: [69, 142] Generated Node #0,0,0: 73:[69, 142] Operation: 48+94=142 Exploring Operation: 48+69=117, Resulting Numbers: [94, 117] Generated Node #0,0,1: 73:[94, 117] Operation: 48+69=117 Exploring Operation: 94-48=46, Resulting Numbers: [69, 46] Generated Node #0,0,2: 73:[69, 46] Operation: 94-48=46 Exploring Operation: 94-69=25, Resulting Numbers: [48, 25] Generated Node #0,0,3: 73:[48, 25] Operation: 94-69=25 Exploring Operation: 69-48=21, Resulting Numbers: [94, 21] Generated Node #0,0,4: 73:[94, 21] Operation: 69-48=21 Moving to Node #0,3 Current State: 73:[94, 59, 58], Operations: ['48+10=58'] Exploring Operation: 94+58=152, Resulting Numbers: [59, 152] Generated Node #0,3,0: 73:[59, 152] Operation: 94+58=152 Exploring Operation: 94-58=36, Resulting Numbers: [59, 36] Generated Node #0,3,1: 73:[59, 36] Operation: 94-58=36 Exploring Operation: 94-59=35, Resulting Numbers: [58, 35] Generated Node #0,3,2: 73:[58, 35] Operation: 94-59=35 Exploring Operation: 59-58=1, Resulting Numbers: [94, 1] Generated Node #0,3,3: 73:[94, 1] Operation: 59-58=1 Exploring Operation: 59+58=117, Resulting Numbers: [94, 117] Generated Node #0,3,4: 73:[94, 117] Operation: 59+58=117 Moving to Node #0,2 Current State: 73:[48, 59, 84], Operations: ['94-10=84'] Exploring Operation: 84-48=36, Resulting Numbers: [59, 36] Generated Node #0,2,0: 73:[59, 36] Operation: 84-48=36 Exploring Operation: 48+59=107, Resulting Numbers: [84, 107] Generated Node #0,2,1: 73:[84, 107] Operation: 48+59=107 Exploring Operation: 59-48=11, Resulting Numbers: [84, 11] Generated Node #0,2,2: 73:[84, 11] Operation: 59-48=11 Exploring Operation: 84-59=25, Resulting Numbers: [48, 25] Generated Node #0,2,3: 73:[48, 25] Operation: 84-59=25 Exploring Operation: 48+84=132, Resulting Numbers: [59, 132] Generated Node #0,2,4: 73:[59, 132] Operation: 48+84=132 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 73:[84, 107], Operations: ['94-10=84', '48+59=107'] Exploring Operation: 84+107=191, Resulting Numbers: [191] 191,73 unequal: No Solution Exploring Operation: 84107=8988, Resulting Numbers: [8988] 8988,73 unequal: No Solution Exploring Operation: 107-84=23, Resulting Numbers: [23] 23,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 73:[59, 36], Operations: ['94-10=84', '84-48=36'] Exploring Operation: 59-36=23, Resulting Numbers: [23] 23,73 unequal: No Solution Exploring Operation: 59+36=95, Resulting Numbers: [95] 95,73 unequal: No Solution Exploring Operation: 5936=2124, Resulting Numbers: [2124] 2124,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 73:[84, 11], Operations: ['94-10=84', '59-48=11'] Exploring Operation: 84-11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[48, 94, 10, 59], Operations: [] Exploring Operation: 94-10=84, Resulting Numbers: [48, 59, 84] Generated Node #0,2: 73:[48, 59, 84] Operation: 94-10=84 Moving to Node #0,2 Current State: 73:[48, 59, 84], Operations: ['94-10=84'] Exploring Operation: 59-48=11, Resulting Numbers: [84, 11] Generated Node #0,2,2: 73:[84, 11] Operation: 59-48=11 Moving to Node #0,2,2 Current State: 73:[84, 11], Operations: ['94-10=84', '59-48=11'] Exploring Operation: 84-11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Exit Sub Search at level 1	0.97309	hs_5	mult_heuristic
[ 97, 16, 75, 2 ]	30	[ "97-75=22", "16/2=8", "22+8=30" ]	Current State: 30:[97, 16, 75, 2], Operations: [] Exploring Operation: 97-75=22, Resulting Numbers: [16, 2, 22] Generated Node #2: [16, 2, 22] from Operation: 97-75=22 Current State: 30:[16, 2, 22], Operations: ['97-75=22'] Exploring Operation: 16/2=8, Resulting Numbers: [22, 8] Generated Node #3: [22, 8] from Operation: 16/2=8 Current State: 30:[22, 8], Operations: ['97-75=22', '16/2=8'] Exploring Operation: 22+8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	4	Current State: 30:[97, 16, 75, 2], Operations: [] Exploring Operation: 97-75=22, Resulting Numbers: [16, 2, 22] Generated Node #0,0: 30:[16, 2, 22] Operation: 97-75=22 Exploring Operation: 75-16=59, Resulting Numbers: [97, 2, 59] Generated Node #0,1: 30:[97, 2, 59] Operation: 75-16=59 Exploring Operation: 75-2=73, Resulting Numbers: [97, 16, 73] Generated Node #0,2: 30:[97, 16, 73] Operation: 75-2=73 Exploring Operation: 97-2=95, Resulting Numbers: [16, 75, 95] Generated Node #0,3: 30:[16, 75, 95] Operation: 97-2=95 Exploring Operation: 97-16=81, Resulting Numbers: [75, 2, 81] Generated Node #0,4: 30:[75, 2, 81] Operation: 97-16=81 Start Sub Search at level 1: Moving to Node #0,0 Current State: 30:[16, 2, 22], Operations: ['97-75=22'] Exploring Operation: 16-2=14, Resulting Numbers: [22, 14] Generated Node #0,0,0: 30:[22, 14] Operation: 16-2=14 Exploring Operation: 2+22=24, Resulting Numbers: [16, 24] Generated Node #0,0,1: 30:[16, 24] Operation: 2+22=24 Exploring Operation: 22-2=20, Resulting Numbers: [16, 20] Generated Node #0,0,2: 30:[16, 20] Operation: 22-2=20 Exploring Operation: 22/2=11, Resulting Numbers: [16, 11] Generated Node #0,0,3: 30:[16, 11] Operation: 22/2=11 Exploring Operation: 22-16=6, Resulting Numbers: [2, 6] Generated Node #0,0,4: 30:[2, 6] Operation: 22-16=6 Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 30:[2, 6], Operations: ['97-75=22', '22-16=6'] Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,30 unequal: No Solution Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,30 unequal: No Solution Exploring Operation: 26=12, Resulting Numbers: [12] 12,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 30:[16, 11], Operations: ['97-75=22', '22/2=11'] Exploring Operation: 1611=176, Resulting Numbers: [176] 176,30 unequal: No Solution Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,30 unequal: No Solution Exploring Operation: 16-11=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 30:[16, 20], Operations: ['97-75=22', '22-2=20'] Exploring Operation: 20-16=4, Resulting Numbers: [4] 4,30 unequal: No Solution Exploring Operation: 1620=320, Resulting Numbers: [320] 320,30 unequal: No Solution Exploring Operation: 16+20=36, Resulting Numbers: [36] 36,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 30:[16, 24], Operations: ['97-75=22', '2+22=24'] Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,30 unequal: No Solution Exploring Operation: 1624=384, Resulting Numbers: [384] 384,30 unequal: No Solution Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 30:[22, 14], Operations: ['97-75=22', '16-2=14'] Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 2214=308, Resulting Numbers: [308] 308,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 30:[97, 2, 59], Operations: ['75-16=59'] Exploring Operation: 2+59=61, Resulting Numbers: [97, 61] Generated Node #0,1,0: 30:[97, 61] Operation: 2+59=61 Exploring Operation: 59-2=57, Resulting Numbers: [97, 57] Generated Node #0,1,1: 30:[97, 57] Operation: 59-2=57 Exploring Operation: 97+2=99, Resulting Numbers: [59, 99] Generated Node #0,1,2: 30:[59, 99] Operation: 97+2=99 Exploring Operation: 97-59=38, Resulting Numbers: [2, 38] Generated Node #0,1,3: 30:[2, 38] Operation: 97-59=38 Exploring Operation: 97-2=95, Resulting Numbers: [59, 95] Generated Node #0,1,4: 30:[59, 95] Operation: 97-2=95 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 30:[2, 38], Operations: ['75-16=59', '97-59=38'] Exploring Operation: 2+38=40, Resulting Numbers: [40] 40,30 unequal: No Solution Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 238=76, Resulting Numbers: [76] 76,30 unequal: No Solution Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 30:[97, 57], Operations: ['75-16=59', '59-2=57'] Exploring Operation: 97-57=40, Resulting Numbers: [40] 40,30 unequal: No Solution Exploring Operation: 97+57=154, Resulting Numbers: [154] 154,30 unequal: No Solution Exploring Operation: 9757=5529, Resulting Numbers: [5529] 5529,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 30:[59, 95], Operations: ['75-16=59', '97-2=95'] Exploring Operation: 59+95=154, Resulting Numbers: [154] 154,30 unequal: No Solution Exploring Operation: 95-59=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 5995=5605, Resulting Numbers: [5605] 5605,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 30:[97, 61], Operations: ['75-16=59', '2+59=61'] Exploring Operation: 97-61=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 9761=5917, Resulting Numbers: [5917] 5917,30 unequal: No Solution Exploring Operation: 97+61=158, Resulting Numbers: [158] 158,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 30:[59, 99], Operations: ['75-16=59', '97+2=99'] Exploring Operation: 5999=5841, Resulting Numbers: [5841] 5841,30 unequal: No Solution Exploring Operation: 99-59=40, Resulting Numbers: [40] 40,30 unequal: No Solution Exploring Operation: 59+99=158, Resulting Numbers: [158] 158,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 30:[75, 2, 81], Operations: ['97-16=81'] Exploring Operation: 75-2=73, Resulting Numbers: [81, 73] Generated Node #0,4,0: 30:[81, 73] Operation: 75-2=73 Exploring Operation: 2+81=83, Resulting Numbers: [75, 83] Generated Node #0,4,1: 30:[75, 83] Operation: 2+81=83 Exploring Operation: 81-2=79, Resulting Numbers: [75, 79] Generated Node #0,4,2: 30:[75, 79] Operation: 81-2=79 Exploring Operation: 75+2=77, Resulting Numbers: [81, 77] Generated Node #0,4,3: 30:[81, 77] Operation: 75+2=77 Exploring Operation: 81-75=6, Resulting Numbers: [2, 6] Generated Node #0,4,4: 30:[2, 6] Operation: 81-75=6 Moving to Node #0,4,4 Current State: 30:[2, 6], Operations: ['97-16=81', '81-75=6'] Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,30 unequal: No Solution Exploring Operation: 26=12, Resulting Numbers: [12] 12,30 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,30 unequal: No Solution Moving to Node #0,4,2 Current State: 30:[75, 79], Operations: ['97-16=81', '81-2=79'] Exploring Operation: 79-75=4, Resulting Numbers: [4] 4,30 unequal: No Solution Exploring Operation: 7579=5925, Resulting Numbers: [5925] 5925,30 unequal: No Solution Exploring Operation: 75+79=154, Resulting Numbers: [154] 154,30 unequal: No Solution Moving to Node #0,4,0 Current State: 30:[81, 73], Operations: ['97-16=81', '75-2=73'] Exploring Operation: 81+73=154, Resulting Numbers: [154] 154,30 unequal: No Solution Exploring Operation: 8173=5913, Resulting Numbers: [5913] 5913,30 unequal: No Solution Exploring Operation: 81-73=8, Resulting Numbers: [8] 8,30 unequal: No Solution Moving to Node #0,4,1 Current State: 30:[75, 83], Operations: ['97-16=81', '2+81=83'] Exploring Operation: 75+83=158, Resulting Numbers: [158] 158,30 unequal: No Solution Exploring Operation: 83-75=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 7583=6225, Resulting Numbers: [6225] 6225,30 unequal: No Solution Moving to Node #0,4,3 Current State: 30:[81, 77], Operations: ['97-16=81', '75+2=77'] Exploring Operation: 8177=6237, Resulting Numbers: [6237] 6237,30 unequal: No Solution Exploring Operation: 81-77=4, Resulting Numbers: [4] 4,30 unequal: No Solution Exploring Operation: 81+77=158, Resulting Numbers: [158] 158,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 30:[97, 16, 73], Operations: ['75-2=73'] Exploring Operation: 97-73=24, Resulting Numbers: [16, 24] Generated Node #0,2,0: 30:[16, 24] Operation: 97-73=24 Exploring Operation: 16+73=89, Resulting Numbers: [97, 89] Generated Node #0,2,1: 30:[97, 89] Operation: 16+73=89 Exploring Operation: 97-16=81, Resulting Numbers: [73, 81] Generated Node #0,2,2: 30:[73, 81] Operation: 97-16=81 Exploring Operation: 97+16=113, Resulting Numbers: [73, 113] Generated Node #0,2,3: 30:[73, 113] Operation: 97+16=113 Exploring Operation: 73-16=57, Resulting Numbers: [97, 57] Generated Node #0,2,4: 30:[97, 57] Operation: 73-16=57 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 30:[16, 24], Operations: ['75-2=73', '97-73=24'] Exploring Operation: 1624=384, Resulting Numbers: [384] 384,30 unequal: No Solution Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 16+24=40, Resulting Numbers: [40] 40,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 30:[73, 81], Operations: ['75-2=73', '97-16=81'] Exploring Operation: 81-73=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 73+81=154, Resulting Numbers: [154] 154,30 unequal: No Solution Exploring Operation: 7381=5913, Resulting Numbers: [5913] 5913,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 30:[97, 57], Operations: ['75-2=73', '73-16=57'] Exploring Operation: 97+57=154, Resulting Numbers: [154] 154,30 unequal: No Solution Exploring Operation: 97-57=40, Resulting Numbers: [40] 40,30 unequal: No Solution Exploring Operation: 9757=5529, Resulting Numbers: [5529] 5529,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 30:[97, 89], Operations: ['75-2=73', '16+73=89'] Exploring Operation: 97-89=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 9789=8633, Resulting Numbers: [8633] 8633,30 unequal: No Solution Exploring Operation: 97+89=186, Resulting Numbers: [186] 186,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 30:[73, 113], Operations: ['75-2=73', '97+16=113'] Exploring Operation: 73113=8249, Resulting Numbers: [8249] 8249,30 unequal: No Solution Exploring Operation: 113-73=40, Resulting Numbers: [40] 40,30 unequal: No Solution Exploring Operation: 73+113=186, Resulting Numbers: [186] 186,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 30:[16, 75, 95], Operations: ['97-2=95'] Exploring Operation: 16+75=91, Resulting Numbers: [95, 91] Generated Node #0,3,0: 30:[95, 91] Operation: 16+75=91 Exploring Operation: 16+95=111, Resulting Numbers: [75, 111] Generated Node #0,3,1: 30:[75, 111] Operation: 16+95=111 Exploring Operation: 95-16=79, Resulting Numbers: [75, 79] Generated Node #0,3,2: 30:[75, 79] Operation: 95-16=79 Exploring Operation: 95-75=20, Resulting Numbers: [16, 20] Generated Node #0,3,3: 30:[16, 20] Operation: 95-75=20 Exploring Operation: 75-16=59, Resulting Numbers: [95, 59] Generated Node #0,3,4: 30:[95, 59] Operation: 75-16=59 Moving to Node #0,3,3 Current State: 30:[16, 20], Operations: ['97-2=95', '95-75=20'] Exploring Operation: 1620=320, Resulting Numbers: [320] 320,30 unequal: No Solution Exploring Operation: 16+20=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 20-16=4, Resulting Numbers: [4] 4,30 unequal: No Solution Moving to Node #0,3,4 Current State: 30:[95, 59], Operations: ['97-2=95', '75-16=59'] Exploring Operation: 95+59=154, Resulting Numbers: [154] 154,30 unequal: No Solution Exploring Operation: 9559=5605, Resulting Numbers: [5605] 5605,30 unequal: No Solution Exploring Operation: 95-59=36, Resulting Numbers: [36] 36,30 unequal: No Solution Moving to Node #0,3,2 Current State: 30:[75, 79], Operations: ['97-2=95', '95-16=79'] Exploring Operation: 79-75=4, Resulting Numbers: [4] 4,30 unequal: No Solution Exploring Operation: 7579=5925, Resulting Numbers: [5925] 5925,30 unequal: No Solution Exploring Operation: 75+79=154, Resulting Numbers: [154] 154,30 unequal: No Solution Moving to Node #0,3,0 Current State: 30:[95, 91], Operations: ['97-2=95', '16+75=91'] Exploring Operation: 95+91=186, Resulting Numbers: [186] 186,30 unequal: No Solution Exploring Operation: 9591=8645, Resulting Numbers: [8645] 8645,30 unequal: No Solution Exploring Operation: 95-91=4, Resulting Numbers: [4] 4,30 unequal: No Solution Moving to Node #0,3,1 Current State: 30:[75, 111], Operations: ['97-2=95', '16+95=111'] Exploring Operation: 75+111=186, Resulting Numbers: [186] 186,30 unequal: No Solution Exploring Operation: 111-75=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 75*111=8325, Resulting Numbers: [8325] 8325,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	sum_heuristic
[ 52, 34, 10, 18 ]	94	[ "52+34=86", "10*18=180", "180-86=94" ]	Current State: 94:[52, 34, 10, 18], Operations: [] Exploring Operation: 52+34=86, Resulting Numbers: [10, 18, 86] Generated Node #2: [10, 18, 86] from Operation: 52+34=86 Current State: 94:[10, 18, 86], Operations: ['52+34=86'] Exploring Operation: 1018=180, Resulting Numbers: [86, 180] Generated Node #3: [86, 180] from Operation: 1018=180 Current State: 94:[86, 180], Operations: ['52+34=86', '10*18=180'] Exploring Operation: 180-86=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	4	Current State: 94:[52, 34, 10, 18], Operations: [] Exploring Operation: 34+18=52, Resulting Numbers: [52, 10, 52] Generated Node #0,0: 94:[52, 10, 52] Operation: 34+18=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[52, 10, 52], Operations: ['34+18=52'] Exploring Operation: 52/52=1, Resulting Numbers: [10, 1] Generated Node #0,0,0: 94:[10, 1] Operation: 52/52=1 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 94:[10, 1], Operations: ['34+18=52', '52/52=1'] Exploring Operation: 10-1=9, Resulting Numbers: [9] 9,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 29, 28, 23, 6 ]	74	[ "29+28=57", "23-6=17", "57+17=74" ]	Current State: 74:[29, 28, 23, 6], Operations: [] Exploring Operation: 29+28=57, Resulting Numbers: [23, 6, 57] Generated Node #2: [23, 6, 57] from Operation: 29+28=57 Current State: 74:[23, 6, 57], Operations: ['29+28=57'] Exploring Operation: 23-6=17, Resulting Numbers: [57, 17] Generated Node #3: [57, 17] from Operation: 23-6=17 Current State: 74:[57, 17], Operations: ['29+28=57', '23-6=17'] Exploring Operation: 57+17=74, Resulting Numbers: [74] 74,74 equal: Goal Reached	4	Current State: 74:[29, 28, 23, 6], Operations: [] Exploring Operation: 29-23=6, Resulting Numbers: [28, 6, 6] Generated Node #0,0: 74:[28, 6, 6] Operation: 29-23=6 Exploring Operation: 29-28=1, Resulting Numbers: [23, 6, 1] Generated Node #0,1: 74:[23, 6, 1] Operation: 29-28=1 Exploring Operation: 29+6=35, Resulting Numbers: [28, 23, 35] Generated Node #0,2: 74:[28, 23, 35] Operation: 29+6=35 Exploring Operation: 28-23=5, Resulting Numbers: [29, 6, 5] Generated Node #0,3: 74:[29, 6, 5] Operation: 28-23=5 Start Sub Search at level 1: Moving to Node #0,3 Current State: 74:[29, 6, 5], Operations: ['28-23=5'] Exploring Operation: 6-5=1, Resulting Numbers: [29, 1] Generated Node #0,3,0: 74:[29, 1] Operation: 6-5=1 Exploring Operation: 29+6=35, Resulting Numbers: [5, 35] Generated Node #0,3,1: 74:[5, 35] Operation: 29+6=35 Exploring Operation: 29+5=34, Resulting Numbers: [6, 34] Generated Node #0,3,2: 74:[6, 34] Operation: 29+5=34 Exploring Operation: 65=30, Resulting Numbers: [29, 30] Generated Node #0,3,3: 74:[29, 30] Operation: 65=30 Moving to Node #0,3,1 Current State: 74:[5, 35], Operations: ['28-23=5', '29+6=35'] Exploring Operation: 535=175, Resulting Numbers: [175] 175,74 unequal: No Solution Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,74 unequal: No Solution Exploring Operation: 5+35=40, Resulting Numbers: [40] 40,74 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,74 unequal: No Solution Moving to Node #0,3,2 Current State: 74:[6, 34], Operations: ['28-23=5', '29+5=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 634=204, Resulting Numbers: [204] 204,74 unequal: No Solution Exploring Operation: 6+34=40, Resulting Numbers: [40] 40,74 unequal: No Solution Moving to Node #0,3,0 Current State: 74:[29, 1], Operations: ['28-23=5', '6-5=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,74 unequal: No Solution Exploring Operation: 29/1=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 291=29, Resulting Numbers: [29] 29,74 unequal: No Solution Moving to Node #0,3,3 Current State: 74:[29, 30], Operations: ['28-23=5', '65=30'] Exploring Operation: 30-29=1, Resulting Numbers: [1] 1,74 unequal: No Solution Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,74 unequal: No Solution Exploring Operation: 2930=870, Resulting Numbers: [870] 870,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 74:[28, 6, 6], Operations: ['29-23=6'] Exploring Operation: 66=36, Resulting Numbers: [28, 36] Generated Node #0,0,0: 74:[28, 36] Operation: 66=36 Exploring Operation: 28+6=34, Resulting Numbers: [6, 34] Generated Node #0,0,1: 74:[6, 34] Operation: 28+6=34 Exploring Operation: 6/6=1, Resulting Numbers: [28, 1] Generated Node #0,0,2: 74:[28, 1] Operation: 6/6=1 Exploring Operation: 28+6=34, Resulting Numbers: [6, 34] Generated Node #0,0,3: 74:[6, 34] Operation: 28+6=34 Moving to Node #0,0,1 Current State: 74:[6, 34], Operations: ['29-23=6', '28+6=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 634=204, Resulting Numbers: [204] 204,74 unequal: No Solution Exploring Operation: 6+34=40, Resulting Numbers: [40] 40,74 unequal: No Solution Moving to Node #0,0,3 Current State: 74:[6, 34], Operations: ['29-23=6', '28+6=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 634=204, Resulting Numbers: [204] 204,74 unequal: No Solution Exploring Operation: 6+34=40, Resulting Numbers: [40] 40,74 unequal: No Solution Moving to Node #0,0,2 Current State: 74:[28, 1], Operations: ['29-23=6', '6/6=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,74 unequal: No Solution Exploring Operation: 28/1=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 28+1=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 281=28, Resulting Numbers: [28] 28,74 unequal: No Solution Moving to Node #0,0,0 Current State: 74:[28, 36], Operations: ['29-23=6', '66=36'] Exploring Operation: 28+36=64, Resulting Numbers: [64] 64,74 unequal: No Solution Exploring Operation: 2836=1008, Resulting Numbers: [1008] 1008,74 unequal: No Solution Exploring Operation: 36-28=8, Resulting Numbers: [8] 8,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 74:[23, 6, 1], Operations: ['29-28=1'] Exploring Operation: 23-6=17, Resulting Numbers: [1, 17] Generated Node #0,1,0: 74:[1, 17] Operation: 23-6=17 Exploring Operation: 6-1=5, Resulting Numbers: [23, 5] Generated Node #0,1,1: 74:[23, 5] Operation: 6-1=5 Exploring Operation: 23+6=29, Resulting Numbers: [1, 29] Generated Node #0,1,2: 74:[1, 29] Operation: 23+6=29 Exploring Operation: 23+1=24, Resulting Numbers: [6, 24] Generated Node #0,1,3: 74:[6, 24] Operation: 23+1=24 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 74:[1, 29], Operations: ['29-28=1', '23+6=29'] Exploring Operation: 29/1=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 129=29, Resulting Numbers: [29] 29,74 unequal: No Solution Exploring Operation: 1+29=30, Resulting Numbers: [30] 30,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 74:[1, 17], Operations: ['29-28=1', '23-6=17'] Exploring Operation: 1+17=18, Resulting Numbers: [18] 18,74 unequal: No Solution Exploring Operation: 117=17, Resulting Numbers: [17] 17,74 unequal: No Solution Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,74 unequal: No Solution Exploring Operation: 17/1=17, Resulting Numbers: [17] 17,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 74:[23, 5], Operations: ['29-28=1', '6-1=5'] Exploring Operation: 235=115, Resulting Numbers: [115] 115,74 unequal: No Solution Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,74 unequal: No Solution Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 74:[6, 24], Operations: ['29-28=1', '23+1=24'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,74 unequal: No Solution Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,74 unequal: No Solution Exploring Operation: 624=144, Resulting Numbers: [144] 144,74 unequal: No Solution Exploring Operation: 24/6=4, Resulting Numbers: [4] 4,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 74:[28, 23, 35], Operations: ['29+6=35'] Exploring Operation: 28-23=5, Resulting Numbers: [35, 5] Generated Node #0,2,0: 74:[35, 5] Operation: 28-23=5 Exploring Operation: 35-23=12, Resulting Numbers: [28, 12] Generated Node #0,2,1: 74:[28, 12] Operation: 35-23=12 Exploring Operation: 35-28=7, Resulting Numbers: [23, 7] Generated Node #0,2,2: 74:[23, 7] Operation: 35-28=7 Exploring Operation: 28+23=51, Resulting Numbers: [35, 51] Generated Node #0,2,3: 74:[35, 51] Operation: 28+23=51 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 74:[35, 5], Operations: ['29+6=35', '28-23=5'] Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,74 unequal: No Solution Exploring Operation: 35+5=40, Resulting Numbers: [40] 40,74 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,74 unequal: No Solution Exploring Operation: 355=175, Resulting Numbers: [175] 175,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 74:[35, 51], Operations: ['29+6=35', '28+23=51'] Exploring Operation: 51-35=16, Resulting Numbers: [16] 16,74 unequal: No Solution Exploring Operation: 3551=1785, Resulting Numbers: [1785] 1785,74 unequal: No Solution Exploring Operation: 35+51=86, Resulting Numbers: [86] 86,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 74:[28, 12], Operations: ['29+6=35', '35-23=12'] Exploring Operation: 2812=336, Resulting Numbers: [336] 336,74 unequal: No Solution Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,74 unequal: No Solution Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 74:[23, 7], Operations: ['29+6=35', '35-28=7'] Exploring Operation: 237=161, Resulting Numbers: [161] 161,74 unequal: No Solution Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,74 unequal: No Solution Exploring Operation: 23-7=16, Resulting Numbers: [16] 16,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	mult_heuristic
[ 95, 54, 1, 71 ]	29	[ "95-54=41", "71-1=70", "70-41=29" ]	Current State: 29:[95, 54, 1, 71], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [1, 71, 41] Generated Node #2: [1, 71, 41] from Operation: 95-54=41 Current State: 29:[1, 71, 41], Operations: ['95-54=41'] Exploring Operation: 71-1=70, Resulting Numbers: [41, 70] Generated Node #3: [41, 70] from Operation: 71-1=70 Current State: 29:[41, 70], Operations: ['95-54=41', '71-1=70'] Exploring Operation: 70-41=29, Resulting Numbers: [29] 29,29 equal: Goal Reached	4	Current State: 29:[95, 54, 1, 71], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [54, 1, 24] Generated Node #0,0: 29:[54, 1, 24] Operation: 95-71=24 Exploring Operation: 95-1=94, Resulting Numbers: [54, 71, 94] Generated Node #0,1: 29:[54, 71, 94] Operation: 95-1=94 Exploring Operation: 95-54=41, Resulting Numbers: [1, 71, 41] Generated Node #0,2: 29:[1, 71, 41] Operation: 95-54=41 Exploring Operation: 71-54=17, Resulting Numbers: [95, 1, 17] Generated Node #0,3: 29:[95, 1, 17] Operation: 71-54=17 Exploring Operation: 54-1=53, Resulting Numbers: [95, 71, 53] Generated Node #0,4: 29:[95, 71, 53] Operation: 54-1=53 Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[54, 1, 24], Operations: ['95-71=24'] Exploring Operation: 54-24=30, Resulting Numbers: [1, 30] Generated Node #0,0,0: 29:[1, 30] Operation: 54-24=30 Exploring Operation: 54/1=54, Resulting Numbers: [24, 54] Generated Node #0,0,1: 29:[24, 54] Operation: 54/1=54 Exploring Operation: 541=54, Resulting Numbers: [24, 54] Generated Node #0,0,2: 29:[24, 54] Operation: 541=54 Exploring Operation: 54-1=53, Resulting Numbers: [24, 53] Generated Node #0,0,3: 29:[24, 53] Operation: 54-1=53 Exploring Operation: 1+24=25, Resulting Numbers: [54, 25] Generated Node #0,0,4: 29:[54, 25] Operation: 1+24=25 Moving to Node #0,0,0 Current State: 29:[1, 30], Operations: ['95-71=24', '54-24=30'] Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,29 unequal: No Solution Exploring Operation: 30/1=30, Resulting Numbers: [30] 30,29 unequal: No Solution Exploring Operation: 1+30=31, Resulting Numbers: [31] 31,29 unequal: No Solution Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Moving to Node #0 Current State: 29:[95, 54, 1, 71], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [54, 1, 24] Generated Node #0,0: 29:[54, 1, 24] Operation: 95-71=24 Moving to Node #0,0 Current State: 29:[54, 1, 24], Operations: ['95-71=24'] Exploring Operation: 54-24=30, Resulting Numbers: [1, 30] Generated Node #0,0,0: 29:[1, 30] Operation: 54-24=30 Moving to Node #0,0,0 Current State: 29:[1, 30], Operations: ['95-71=24', '54-24=30'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Exit Sub Search at level 1	0.984375	hs_5	mult_heuristic
[ 87, 82, 95, 1 ]	90	[ "87-82=5", "95*1=95", "95-5=90" ]	Current State: 90:[87, 82, 95, 1], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [95, 1, 5] Generated Node #2: [95, 1, 5] from Operation: 87-82=5 Current State: 90:[95, 1, 5], Operations: ['87-82=5'] Exploring Operation: 951=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 951=95 Current State: 90:[5, 95], Operations: ['87-82=5', '95*1=95'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached	4	Current State: 90:[87, 82, 95, 1], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [95, 1, 5] Generated Node #0,0: 90:[95, 1, 5] Operation: 87-82=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 90:[95, 1, 5], Operations: ['87-82=5'] Exploring Operation: 95-5=90, Resulting Numbers: [1, 90] Generated Node #0,0,0: 90:[1, 90] Operation: 95-5=90 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 90:[1, 90], Operations: ['87-82=5', '95-5=90'] Exploring Operation: 190=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[87, 82, 95, 1], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [95, 1, 5] Generated Node #0,0: 90:[95, 1, 5] Operation: 87-82=5 Moving to Node #0,0 Current State: 90:[95, 1, 5], Operations: ['87-82=5'] Exploring Operation: 95-5=90, Resulting Numbers: [1, 90] Generated Node #0,0,0: 90:[1, 90] Operation: 95-5=90 Moving to Node #0,0,0 Current State: 90:[1, 90], Operations: ['87-82=5', '95-5=90'] Exploring Operation: 190=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.993924	hs_1	sum_heuristic
[ 90, 92, 3, 47 ]	75	[ "90/3=30", "92-47=45", "30+45=75" ]	Current State: 75:[90, 92, 3, 47], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [92, 47, 30] Generated Node #2: [92, 47, 30] from Operation: 90/3=30 Current State: 75:[92, 47, 30], Operations: ['90/3=30'] Exploring Operation: 92-47=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 92-47=45 Current State: 75:[30, 45], Operations: ['90/3=30', '92-47=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,75 equal: Goal Reached	4	Current State: 75:[90, 92, 3, 47], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [3, 47, 2] Generated Node #0,0: 75:[3, 47, 2] Operation: 92-90=2 Exploring Operation: 90-47=43, Resulting Numbers: [92, 3, 43] Generated Node #0,1: 75:[92, 3, 43] Operation: 90-47=43 Moving to Node #0,0 Current State: 75:[3, 47, 2], Operations: ['92-90=2'] Exploring Operation: 472=94, Resulting Numbers: [3, 94] Generated Node #0,0,0: 75:[3, 94] Operation: 472=94 Exploring Operation: 47-3=44, Resulting Numbers: [2, 44] Generated Node #0,0,1: 75:[2, 44] Operation: 47-3=44 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[3, 94], Operations: ['92-90=2', '472=94'] Exploring Operation: 3+94=97, Resulting Numbers: [97] 97,75 unequal: No Solution Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 75:[2, 44], Operations: ['92-90=2', '47-3=44'] Exploring Operation: 244=88, Resulting Numbers: [88] 88,75 unequal: No Solution Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 75:[92, 3, 43], Operations: ['90-47=43'] Exploring Operation: 92-43=49, Resulting Numbers: [3, 49] Generated Node #0,1,0: 75:[3, 49] Operation: 92-43=49 Exploring Operation: 92-3=89, Resulting Numbers: [43, 89] Generated Node #0,1,1: 75:[43, 89] Operation: 92-3=89 Moving to Node #0,1,0 Current State: 75:[3, 49], Operations: ['90-47=43', '92-43=49'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,75 unequal: No Solution Exploring Operation: 3+49=52, Resulting Numbers: [52] 52,75 unequal: No Solution Moving to Node #0,1,1 Current State: 75:[43, 89], Operations: ['90-47=43', '92-3=89'] Exploring Operation: 89-43=46, Resulting Numbers: [46] 46,75 unequal: No Solution Exploring Operation: 43+89=132, Resulting Numbers: [132] 132,75 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 97, 1, 2, 9 ]	91	[ "97+1=98", "9-2=7", "98-7=91" ]	Current State: 91:[97, 1, 2, 9], Operations: [] Exploring Operation: 97+1=98, Resulting Numbers: [2, 9, 98] Generated Node #2: [2, 9, 98] from Operation: 97+1=98 Current State: 91:[2, 9, 98], Operations: ['97+1=98'] Exploring Operation: 9-2=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 9-2=7 Current State: 91:[98, 7], Operations: ['97+1=98', '9-2=7'] Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached	4	Current State: 91:[97, 1, 2, 9], Operations: [] Exploring Operation: 97-2=95, Resulting Numbers: [1, 9, 95] Generated Node #0,0: 91:[1, 9, 95] Operation: 97-2=95 Exploring Operation: 97-1=96, Resulting Numbers: [2, 9, 96] Generated Node #0,1: 91:[2, 9, 96] Operation: 97-1=96 Exploring Operation: 1+2=3, Resulting Numbers: [97, 9, 3] Generated Node #0,2: 91:[97, 9, 3] Operation: 1+2=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[1, 9, 95], Operations: ['97-2=95'] Exploring Operation: 9-1=8, Resulting Numbers: [95, 8] Generated Node #0,0,0: 91:[95, 8] Operation: 9-1=8 Exploring Operation: 19=9, Resulting Numbers: [95, 9] Generated Node #0,0,1: 91:[95, 9] Operation: 19=9 Exploring Operation: 95-1=94, Resulting Numbers: [9, 94] Generated Node #0,0,2: 91:[9, 94] Operation: 95-1=94 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 91:[95, 8], Operations: ['97-2=95', '9-1=8'] Exploring Operation: 95-8=87, Resulting Numbers: [87] 87,91 unequal: No Solution Exploring Operation: 958=760, Resulting Numbers: [760] 760,91 unequal: No Solution Exploring Operation: 95+8=103, Resulting Numbers: [103] 103,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 91:[9, 94], Operations: ['97-2=95', '95-1=94'] Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,91 unequal: No Solution Exploring Operation: 9+94=103, Resulting Numbers: [103] 103,91 unequal: No Solution Exploring Operation: 994=846, Resulting Numbers: [846] 846,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 91:[95, 9], Operations: ['97-2=95', '19=9'] Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,91 unequal: No Solution Exploring Operation: 95+9=104, Resulting Numbers: [104] 104,91 unequal: No Solution Exploring Operation: 959=855, Resulting Numbers: [855] 855,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[2, 9, 96], Operations: ['97-1=96'] Exploring Operation: 96-2=94, Resulting Numbers: [9, 94] Generated Node #0,1,0: 91:[9, 94] Operation: 96-2=94 Exploring Operation: 2+9=11, Resulting Numbers: [96, 11] Generated Node #0,1,1: 91:[96, 11] Operation: 2+9=11 Exploring Operation: 9-2=7, Resulting Numbers: [96, 7] Generated Node #0,1,2: 91:[96, 7] Operation: 9-2=7 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 91:[9, 94], Operations: ['97-1=96', '96-2=94'] Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,91 unequal: No Solution Exploring Operation: 994=846, Resulting Numbers: [846] 846,91 unequal: No Solution Exploring Operation: 9+94=103, Resulting Numbers: [103] 103,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 91:[96, 7], Operations: ['97-1=96', '9-2=7'] Exploring Operation: 967=672, Resulting Numbers: [672] 672,91 unequal: No Solution Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,91 unequal: No Solution Exploring Operation: 96+7=103, Resulting Numbers: [103] 103,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 91:[96, 11], Operations: ['97-1=96', '2+9=11'] Exploring Operation: 96+11=107, Resulting Numbers: [107] 107,91 unequal: No Solution Exploring Operation: 96-11=85, Resulting Numbers: [85] 85,91 unequal: No Solution Exploring Operation: 9611=1056, Resulting Numbers: [1056] 1056,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 91:[97, 9, 3], Operations: ['1+2=3'] Exploring Operation: 9+3=12, Resulting Numbers: [97, 12] Generated Node #0,2,0: 91:[97, 12] Operation: 9+3=12 Exploring Operation: 97-9=88, Resulting Numbers: [3, 88] Generated Node #0,2,1: 91:[3, 88] Operation: 97-9=88 Exploring Operation: 97-3=94, Resulting Numbers: [9, 94] Generated Node #0,2,2: 91:[9, 94] Operation: 97-3=94 Moving to Node #0,2,2 Current State: 91:[9, 94], Operations: ['1+2=3', '97-3=94'] Exploring Operation: 9+94=103, Resulting Numbers: [103] 103,91 unequal: No Solution Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,91 unequal: No Solution Exploring Operation: 994=846, Resulting Numbers: [846] 846,91 unequal: No Solution Moving to Node #0,2,0 Current State: 91:[97, 12], Operations: ['1+2=3', '9+3=12'] Exploring Operation: 97*12=1164, Resulting Numbers: [1164] 1164,91 unequal: No Solution Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,91 unequal: No Solution Exploring Operation: 97+12=109, Resulting Numbers: [109] 109,91 unequal: No Solution Moving to Node #0,2,1 Current State: 91:[3, 88], Operations: ['1+2=3', '97-9=88'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,91 unequal: No Solution Exploring Operation: 3+88=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[97, 1, 2, 9], Operations: [] Exploring Operation: 1+2=3, Resulting Numbers: [97, 9, 3] Generated Node #0,2: 91:[97, 9, 3] Operation: 1+2=3 Moving to Node #0,2 Current State: 91:[97, 9, 3], Operations: ['1+2=3'] Exploring Operation: 97-9=88, Resulting Numbers: [3, 88] Generated Node #0,2,1: 91:[3, 88] Operation: 97-9=88 Moving to Node #0,2,1 Current State: 91:[3, 88], Operations: ['1+2=3', '97-9=88'] Exploring Operation: 3+88=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 1	0.963542	hs_3	sum_heuristic
[ 88, 7, 82, 3 ]	24	[ "88-82=6", "7-3=4", "6*4=24" ]	Current State: 24:[88, 7, 82, 3], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [7, 3, 6] Generated Node #2: [7, 3, 6] from Operation: 88-82=6 Current State: 24:[7, 3, 6], Operations: ['88-82=6'] Exploring Operation: 7-3=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 7-3=4 Current State: 24:[6, 4], Operations: ['88-82=6', '7-3=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	4	Current State: 24:[88, 7, 82, 3], Operations: [] Exploring Operation: 88-7=81, Resulting Numbers: [82, 3, 81] Generated Node #0,0: 24:[82, 3, 81] Operation: 88-7=81 Exploring Operation: 88-82=6, Resulting Numbers: [7, 3, 6] Generated Node #0,1: 24:[7, 3, 6] Operation: 88-82=6 Moving to Node #0,1 Current State: 24:[7, 3, 6], Operations: ['88-82=6'] Exploring Operation: 7+6=13, Resulting Numbers: [3, 13] Generated Node #0,1,0: 24:[3, 13] Operation: 7+6=13 Exploring Operation: 7-3=4, Resulting Numbers: [6, 4] Generated Node #0,1,1: 24:[6, 4] Operation: 7-3=4 Moving to Node #0,0 Current State: 24:[82, 3, 81], Operations: ['88-7=81'] Exploring Operation: 81/3=27, Resulting Numbers: [82, 27] Generated Node #0,0,0: 24:[82, 27] Operation: 81/3=27 Exploring Operation: 82-81=1, Resulting Numbers: [3, 1] Generated Node #0,0,1: 24:[3, 1] Operation: 82-81=1 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 24:[3, 1], Operations: ['88-7=81', '82-81=1'] Exploring Operation: 31=3, Resulting Numbers: [3] 3,24 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 24:[82, 27], Operations: ['88-7=81', '81/3=27'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,24 unequal: No Solution Exploring Operation: 82+27=109, Resulting Numbers: [109] 109,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 24:[6, 4], Operations: ['88-82=6', '7-3=4'] Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,24 unequal: No Solution Exploring Operation: 64=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[88, 7, 82, 3], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [7, 3, 6] Generated Node #0,1: 24:[7, 3, 6] Operation: 88-82=6 Moving to Node #0,1 Current State: 24:[7, 3, 6], Operations: ['88-82=6'] Exploring Operation: 7-3=4, Resulting Numbers: [6, 4] Generated Node #0,1,1: 24:[6, 4] Operation: 7-3=4 Moving to Node #0,1,1 Current State: 24:[6, 4], Operations: ['88-82=6', '7-3=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	0.986111	hs_2	sum_heuristic
[ 43, 24, 87, 63 ]	42	[ "87-24=63", "63/63=1", "43-1=42" ]	Current State: 42:[43, 24, 87, 63], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [43, 63, 63] Generated Node #2: [43, 63, 63] from Operation: 87-24=63 Current State: 42:[43, 63, 63], Operations: ['87-24=63'] Exploring Operation: 63/63=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 63/63=1 Current State: 42:[43, 1], Operations: ['87-24=63', '63/63=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	4	Current State: 42:[43, 24, 87, 63], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [43, 24, 24] Generated Node #0,0: 42:[43, 24, 24] Operation: 87-63=24 Exploring Operation: 87-24=63, Resulting Numbers: [43, 63, 63] Generated Node #0,1: 42:[43, 63, 63] Operation: 87-24=63 Exploring Operation: 63-43=20, Resulting Numbers: [24, 87, 20] Generated Node #0,2: 42:[24, 87, 20] Operation: 63-43=20 Exploring Operation: 87-43=44, Resulting Numbers: [24, 63, 44] Generated Node #0,3: 42:[24, 63, 44] Operation: 87-43=44 Start Sub Search at level 1: Moving to Node #0,0 Current State: 42:[43, 24, 24], Operations: ['87-63=24'] Exploring Operation: 24-24=0, Resulting Numbers: [43, 0] Generated Node #0,0,0: 42:[43, 0] Operation: 24-24=0 Exploring Operation: 43-24=19, Resulting Numbers: [24, 19] Generated Node #0,0,1: 42:[24, 19] Operation: 43-24=19 Exploring Operation: 24/24=1, Resulting Numbers: [43, 1] Generated Node #0,0,2: 42:[43, 1] Operation: 24/24=1 Exploring Operation: 43-24=19, Resulting Numbers: [24, 19] Generated Node #0,0,3: 42:[24, 19] Operation: 43-24=19 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 42:[43, 1], Operations: ['87-63=24', '24/24=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[43, 24, 87, 63], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [43, 24, 24] Generated Node #0,0: 42:[43, 24, 24] Operation: 87-63=24 Moving to Node #0,0 Current State: 42:[43, 24, 24], Operations: ['87-63=24'] Exploring Operation: 24/24=1, Resulting Numbers: [43, 1] Generated Node #0,0,2: 42:[43, 1] Operation: 24/24=1 Moving to Node #0,0,2 Current State: 42:[43, 1], Operations: ['87-63=24', '24/24=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.988715	hs_4	mult_heuristic
[ 41, 97, 44, 46 ]	47	[ "41+97=138", "138/46=3", "44+3=47" ]	Current State: 47:[41, 97, 44, 46], Operations: [] Exploring Operation: 41+97=138, Resulting Numbers: [44, 46, 138] Generated Node #2: [44, 46, 138] from Operation: 41+97=138 Current State: 47:[44, 46, 138], Operations: ['41+97=138'] Exploring Operation: 138/46=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 138/46=3 Current State: 47:[44, 3], Operations: ['41+97=138', '138/46=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached	4	Current State: 47:[41, 97, 44, 46], Operations: [] Exploring Operation: 97-44=53, Resulting Numbers: [41, 46, 53] Generated Node #0,0: 47:[41, 46, 53] Operation: 97-44=53 Exploring Operation: 97-41=56, Resulting Numbers: [44, 46, 56] Generated Node #0,1: 47:[44, 46, 56] Operation: 97-41=56 Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[41, 46, 53], Operations: ['97-44=53'] Exploring Operation: 41+46=87, Resulting Numbers: [53, 87] Generated Node #0,0,0: 47:[53, 87] Operation: 41+46=87 Exploring Operation: 53-41=12, Resulting Numbers: [46, 12] Generated Node #0,0,1: 47:[46, 12] Operation: 53-41=12 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 47:[46, 12], Operations: ['97-44=53', '53-41=12'] Exploring Operation: 46-12=34, Resulting Numbers: [34] 34,47 unequal: No Solution Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 47:[53, 87], Operations: ['97-44=53', '41+46=87'] Exploring Operation: 87-53=34, Resulting Numbers: [34] 34,47 unequal: No Solution Exploring Operation: 53+87=140, Resulting Numbers: [140] 140,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 47:[44, 46, 56], Operations: ['97-41=56'] Exploring Operation: 56-44=12, Resulting Numbers: [46, 12] Generated Node #0,1,0: 47:[46, 12] Operation: 56-44=12 Exploring Operation: 56-46=10, Resulting Numbers: [44, 10] Generated Node #0,1,1: 47:[44, 10] Operation: 56-46=10 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 47:[46, 12], Operations: ['97-41=56', '56-44=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,47 unequal: No Solution Exploring Operation: 46-12=34, Resulting Numbers: [34] 34,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 47:[44, 10], Operations: ['97-41=56', '56-46=10'] Exploring Operation: 44-10=34, Resulting Numbers: [34] 34,47 unequal: No Solution Exploring Operation: 44+10=54, Resulting Numbers: [54] 54,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 51, 53, 1, 17 ]	51	[ "53-51=2", "1+2=3", "17*3=51" ]	Current State: 51:[51, 53, 1, 17], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [1, 17, 2] Generated Node #2: [1, 17, 2] from Operation: 53-51=2 Current State: 51:[1, 17, 2], Operations: ['53-51=2'] Exploring Operation: 1+2=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 1+2=3 Current State: 51:[17, 3], Operations: ['53-51=2', '1+2=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[51, 53, 1, 17], Operations: [] Exploring Operation: 53-1=52, Resulting Numbers: [51, 17, 52] Generated Node #0,0: 51:[51, 17, 52] Operation: 53-1=52 Exploring Operation: 51/1=51, Resulting Numbers: [53, 17, 51] Generated Node #0,1: 51:[53, 17, 51] Operation: 51/1=51 Exploring Operation: 511=51, Resulting Numbers: [53, 17, 51] Generated Node #0,2: 51:[53, 17, 51] Operation: 511=51 Moving to Node #0,0 Current State: 51:[51, 17, 52], Operations: ['53-1=52'] Exploring Operation: 52-51=1, Resulting Numbers: [17, 1] Generated Node #0,0,0: 51:[17, 1] Operation: 52-51=1 Exploring Operation: 51/17=3, Resulting Numbers: [52, 3] Generated Node #0,0,1: 51:[52, 3] Operation: 51/17=3 Exploring Operation: 52-17=35, Resulting Numbers: [51, 35] Generated Node #0,0,2: 51:[51, 35] Operation: 52-17=35 Moving to Node #0,1 Current State: 51:[53, 17, 51], Operations: ['51/1=51'] Exploring Operation: 53-51=2, Resulting Numbers: [17, 2] Generated Node #0,1,0: 51:[17, 2] Operation: 53-51=2 Exploring Operation: 51/17=3, Resulting Numbers: [53, 3] Generated Node #0,1,1: 51:[53, 3] Operation: 51/17=3 Exploring Operation: 53-17=36, Resulting Numbers: [51, 36] Generated Node #0,1,2: 51:[51, 36] Operation: 53-17=36 Moving to Node #0,2 Current State: 51:[53, 17, 51], Operations: ['511=51'] Exploring Operation: 53-51=2, Resulting Numbers: [17, 2] Generated Node #0,2,0: 51:[17, 2] Operation: 53-51=2 Exploring Operation: 53-17=36, Resulting Numbers: [51, 36] Generated Node #0,2,1: 51:[51, 36] Operation: 53-17=36 Exploring Operation: 51/17=3, Resulting Numbers: [53, 3] Generated Node #0,2,2: 51:[53, 3] Operation: 51/17=3 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 51:[17, 2], Operations: ['511=51', '53-51=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,51 unequal: No Solution Exploring Operation: 172=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 51:[53, 3], Operations: ['511=51', '51/17=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,51 unequal: No Solution Exploring Operation: 533=159, Resulting Numbers: [159] 159,51 unequal: No Solution Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 51:[51, 36], Operations: ['511=51', '53-17=36'] Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,51 unequal: No Solution Exploring Operation: 51-36=15, Resulting Numbers: [15] 15,51 unequal: No Solution Exploring Operation: 5136=1836, Resulting Numbers: [1836] 1836,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 51:[52, 3], Operations: ['53-1=52', '51/17=3'] Exploring Operation: 523=156, Resulting Numbers: [156] 156,51 unequal: No Solution Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,51 unequal: No Solution Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,51 unequal: No Solution Moving to Node #0,1,0 Current State: 51:[17, 2], Operations: ['51/1=51', '53-51=2'] Exploring Operation: 172=34, Resulting Numbers: [34] 34,51 unequal: No Solution Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,51 unequal: No Solution Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,51 unequal: No Solution Moving to Node #0,1,1 Current State: 51:[53, 3], Operations: ['51/1=51', '51/17=3'] Exploring Operation: 533=159, Resulting Numbers: [159] 159,51 unequal: No Solution Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,51 unequal: No Solution Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,51 unequal: No Solution Moving to Node #0,0,0 Current State: 51:[17, 1], Operations: ['53-1=52', '52-51=1'] Exploring Operation: 17/1=17, Resulting Numbers: [17] 17,51 unequal: No Solution Exploring Operation: 171=17, Resulting Numbers: [17] 17,51 unequal: No Solution Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,51 unequal: No Solution Moving to Node #0,1,2 Current State: 51:[51, 36], Operations: ['51/1=51', '53-17=36'] Exploring Operation: 51-36=15, Resulting Numbers: [15] 15,51 unequal: No Solution Exploring Operation: 5136=1836, Resulting Numbers: [1836] 1836,51 unequal: No Solution Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,51 unequal: No Solution Moving to Node #0,0,2 Current State: 51:[51, 35], Operations: ['53-1=52', '52-17=35'] Exploring Operation: 51+35=86, Resulting Numbers: [86] 86,51 unequal: No Solution Exploring Operation: 51-35=16, Resulting Numbers: [16] 16,51 unequal: No Solution Exploring Operation: 51*35=1785, Resulting Numbers: [1785] 1785,51 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 12, 97, 61, 93 ]	64	[ "97-93=4", "12/4=3", "61+3=64" ]	Current State: 64:[12, 97, 61, 93], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [12, 61, 4] Generated Node #2: [12, 61, 4] from Operation: 97-93=4 Current State: 64:[12, 61, 4], Operations: ['97-93=4'] Exploring Operation: 12/4=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 12/4=3 Current State: 64:[61, 3], Operations: ['97-93=4', '12/4=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[12, 97, 61, 93], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [12, 93, 36] Generated Node #0,0: 64:[12, 93, 36] Operation: 97-61=36 Exploring Operation: 97-12=85, Resulting Numbers: [61, 93, 85] Generated Node #0,1: 64:[61, 93, 85] Operation: 97-12=85 Exploring Operation: 93-12=81, Resulting Numbers: [97, 61, 81] Generated Node #0,2: 64:[97, 61, 81] Operation: 93-12=81 Exploring Operation: 97-93=4, Resulting Numbers: [12, 61, 4] Generated Node #0,3: 64:[12, 61, 4] Operation: 97-93=4 Exploring Operation: 93-61=32, Resulting Numbers: [12, 97, 32] Generated Node #0,4: 64:[12, 97, 32] Operation: 93-61=32 Start Sub Search at level 1: Moving to Node #0,3 Current State: 64:[12, 61, 4], Operations: ['97-93=4'] Exploring Operation: 12-4=8, Resulting Numbers: [61, 8] Generated Node #0,3,0: 64:[61, 8] Operation: 12-4=8 Exploring Operation: 12+61=73, Resulting Numbers: [4, 73] Generated Node #0,3,1: 64:[4, 73] Operation: 12+61=73 Exploring Operation: 61+4=65, Resulting Numbers: [12, 65] Generated Node #0,3,2: 64:[12, 65] Operation: 61+4=65 Exploring Operation: 12/4=3, Resulting Numbers: [61, 3] Generated Node #0,3,3: 64:[61, 3] Operation: 12/4=3 Exploring Operation: 12+4=16, Resulting Numbers: [61, 16] Generated Node #0,3,4: 64:[61, 16] Operation: 12+4=16 Moving to Node #0,3,0 Current State: 64:[61, 8], Operations: ['97-93=4', '12-4=8'] Exploring Operation: 61+8=69, Resulting Numbers: [69] 69,64 unequal: No Solution Exploring Operation: 618=488, Resulting Numbers: [488] 488,64 unequal: No Solution Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,64 unequal: No Solution Moving to Node #0,3,4 Current State: 64:[61, 16], Operations: ['97-93=4', '12+4=16'] Exploring Operation: 61-16=45, Resulting Numbers: [45] 45,64 unequal: No Solution Exploring Operation: 61+16=77, Resulting Numbers: [77] 77,64 unequal: No Solution Exploring Operation: 6116=976, Resulting Numbers: [976] 976,64 unequal: No Solution Moving to Node #0,3,3 Current State: 64:[61, 3], Operations: ['97-93=4', '12/4=3'] Exploring Operation: 61*3=183, Resulting Numbers: [183] 183,64 unequal: No Solution Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,64 unequal: No Solution Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[12, 97, 61, 93], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [12, 61, 4] Generated Node #0,3: 64:[12, 61, 4] Operation: 97-93=4 Moving to Node #0,3 Current State: 64:[12, 61, 4], Operations: ['97-93=4'] Exploring Operation: 12/4=3, Resulting Numbers: [61, 3] Generated Node #0,3,3: 64:[61, 3] Operation: 12/4=3 Moving to Node #0,3,3 Current State: 64:[61, 3], Operations: ['97-93=4', '12/4=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1	0.980035	hs_5	mult_heuristic
[ 21, 78, 48, 91 ]	35	[ "48*91=4368", "4368/78=56", "56-21=35" ]	Current State: 35:[21, 78, 48, 91], Operations: [] Exploring Operation: 4891=4368, Resulting Numbers: [21, 78, 4368] Generated Node #2: [21, 78, 4368] from Operation: 4891=4368 Current State: 35:[21, 78, 4368], Operations: ['4891=4368'] Exploring Operation: 4368/78=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 4368/78=56 Current State: 35:[21, 56], Operations: ['4891=4368', '4368/78=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[21, 78, 48, 91], Operations: [] Exploring Operation: 91-78=13, Resulting Numbers: [21, 48, 13] Generated Node #0,0: 35:[21, 48, 13] Operation: 91-78=13 Exploring Operation: 78-21=57, Resulting Numbers: [48, 91, 57] Generated Node #0,1: 35:[48, 91, 57] Operation: 78-21=57 Exploring Operation: 91-48=43, Resulting Numbers: [21, 78, 43] Generated Node #0,2: 35:[21, 78, 43] Operation: 91-48=43 Exploring Operation: 78-48=30, Resulting Numbers: [21, 91, 30] Generated Node #0,3: 35:[21, 91, 30] Operation: 78-48=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 35:[21, 48, 13], Operations: ['91-78=13'] Exploring Operation: 48-21=27, Resulting Numbers: [13, 27] Generated Node #0,0,0: 35:[13, 27] Operation: 48-21=27 Exploring Operation: 21+13=34, Resulting Numbers: [48, 34] Generated Node #0,0,1: 35:[48, 34] Operation: 21+13=34 Exploring Operation: 21-13=8, Resulting Numbers: [48, 8] Generated Node #0,0,2: 35:[48, 8] Operation: 21-13=8 Exploring Operation: 48-13=35, Resulting Numbers: [21, 35] Generated Node #0,0,3: 35:[21, 35] Operation: 48-13=35 Moving to Node #0,0,0 Current State: 35:[13, 27], Operations: ['91-78=13', '48-21=27'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 1327=351, Resulting Numbers: [351] 351,35 unequal: No Solution Moving to Node #0,0,2 Current State: 35:[48, 8], Operations: ['91-78=13', '21-13=8'] Exploring Operation: 48/8=6, Resulting Numbers: [6] 6,35 unequal: No Solution Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,35 unequal: No Solution Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 488=384, Resulting Numbers: [384] 384,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[48, 34], Operations: ['91-78=13', '21+13=34'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 4834=1632, Resulting Numbers: [1632] 1632,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[21, 35], Operations: ['91-78=13', '48-13=35'] Exploring Operation: 2135=735, Resulting Numbers: [735] 735,35 unequal: No Solution Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 21+35=56, Resulting Numbers: [56] 56,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[21, 78, 43], Operations: ['91-48=43'] Exploring Operation: 78-21=57, Resulting Numbers: [43, 57] Generated Node #0,2,0: 35:[43, 57] Operation: 78-21=57 Exploring Operation: 21+78=99, Resulting Numbers: [43, 99] Generated Node #0,2,1: 35:[43, 99] Operation: 21+78=99 Exploring Operation: 78-43=35, Resulting Numbers: [21, 35] Generated Node #0,2,2: 35:[21, 35] Operation: 78-43=35 Exploring Operation: 43-21=22, Resulting Numbers: [78, 22] Generated Node #0,2,3: 35:[78, 22] Operation: 43-21=22 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[21, 35], Operations: ['91-48=43', '78-43=35'] Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 21+35=56, Resulting Numbers: [56] 56,35 unequal: No Solution Exploring Operation: 2135=735, Resulting Numbers: [735] 735,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 35:[43, 57], Operations: ['91-48=43', '78-21=57'] Exploring Operation: 4357=2451, Resulting Numbers: [2451] 2451,35 unequal: No Solution Exploring Operation: 43+57=100, Resulting Numbers: [100] 100,35 unequal: No Solution Exploring Operation: 57-43=14, Resulting Numbers: [14] 14,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 35:[78, 22], Operations: ['91-48=43', '43-21=22'] Exploring Operation: 78+22=100, Resulting Numbers: [100] 100,35 unequal: No Solution Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,35 unequal: No Solution Exploring Operation: 7822=1716, Resulting Numbers: [1716] 1716,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 35:[43, 99], Operations: ['91-48=43', '21+78=99'] Exploring Operation: 99-43=56, Resulting Numbers: [56] 56,35 unequal: No Solution Exploring Operation: 4399=4257, Resulting Numbers: [4257] 4257,35 unequal: No Solution Exploring Operation: 43+99=142, Resulting Numbers: [142] 142,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 35:[21, 91, 30], Operations: ['78-48=30'] Exploring Operation: 30-21=9, Resulting Numbers: [91, 9] Generated Node #0,3,0: 35:[91, 9] Operation: 30-21=9 Exploring Operation: 21+30=51, Resulting Numbers: [91, 51] Generated Node #0,3,1: 35:[91, 51] Operation: 21+30=51 Exploring Operation: 91-21=70, Resulting Numbers: [30, 70] Generated Node #0,3,2: 35:[30, 70] Operation: 91-21=70 Exploring Operation: 91-30=61, Resulting Numbers: [21, 61] Generated Node #0,3,3: 35:[21, 61] Operation: 91-30=61 Moving to Node #0,3,2 Current State: 35:[30, 70], Operations: ['78-48=30', '91-21=70'] Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,35 unequal: No Solution Exploring Operation: 3070=2100, Resulting Numbers: [2100] 2100,35 unequal: No Solution Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,3,3 Current State: 35:[21, 61], Operations: ['78-48=30', '91-30=61'] Exploring Operation: 21+61=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 61-21=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 2161=1281, Resulting Numbers: [1281] 1281,35 unequal: No Solution Moving to Node #0,3,0 Current State: 35:[91, 9], Operations: ['78-48=30', '30-21=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 919=819, Resulting Numbers: [819] 819,35 unequal: No Solution Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,35 unequal: No Solution Moving to Node #0,3,1 Current State: 35:[91, 51], Operations: ['78-48=30', '21+30=51'] Exploring Operation: 91+51=142, Resulting Numbers: [142] 142,35 unequal: No Solution Exploring Operation: 91-51=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 9151=4641, Resulting Numbers: [4641] 4641,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 35:[48, 91, 57], Operations: ['78-21=57'] Exploring Operation: 91-57=34, Resulting Numbers: [48, 34] Generated Node #0,1,0: 35:[48, 34] Operation: 91-57=34 Exploring Operation: 91-48=43, Resulting Numbers: [57, 43] Generated Node #0,1,1: 35:[57, 43] Operation: 91-48=43 Exploring Operation: 57-48=9, Resulting Numbers: [91, 9] Generated Node #0,1,2: 35:[91, 9] Operation: 57-48=9 Exploring Operation: 48+91=139, Resulting Numbers: [57, 139] Generated Node #0,1,3: 35:[57, 139] Operation: 48+91=139 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 35:[48, 34], Operations: ['78-21=57', '91-57=34'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 4834=1632, Resulting Numbers: [1632] 1632,35 unequal: No Solution Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 35:[57, 43], Operations: ['78-21=57', '91-48=43'] Exploring Operation: 5743=2451, Resulting Numbers: [2451] 2451,35 unequal: No Solution Exploring Operation: 57-43=14, Resulting Numbers: [14] 14,35 unequal: No Solution Exploring Operation: 57+43=100, Resulting Numbers: [100] 100,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 35:[91, 9], Operations: ['78-21=57', '57-48=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,35 unequal: No Solution Exploring Operation: 919=819, Resulting Numbers: [819] 819,35 unequal: No Solution Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 35:[57, 139], Operations: ['78-21=57', '48+91=139'] Exploring Operation: 139-57=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 57+139=196, Resulting Numbers: [196] 196,35 unequal: No Solution Exploring Operation: 57139=7923, Resulting Numbers: [7923] 7923,35 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 2, 4, 34, 37 ]	52	[ "34-4=30", "30/2=15", "37+15=52" ]	Current State: 52:[2, 4, 34, 37], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [2, 37, 30] Generated Node #2: [2, 37, 30] from Operation: 34-4=30 Current State: 52:[2, 37, 30], Operations: ['34-4=30'] Exploring Operation: 30/2=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 30/2=15 Current State: 52:[37, 15], Operations: ['34-4=30', '30/2=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached	4	Current State: 52:[2, 4, 34, 37], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [2, 4, 3] Generated Node #0,0: 52:[2, 4, 3] Operation: 37-34=3 Exploring Operation: 34-2=32, Resulting Numbers: [4, 37, 32] Generated Node #0,1: 52:[4, 37, 32] Operation: 34-2=32 Exploring Operation: 34-4=30, Resulting Numbers: [2, 37, 30] Generated Node #0,2: 52:[2, 37, 30] Operation: 34-4=30 Exploring Operation: 37-4=33, Resulting Numbers: [2, 34, 33] Generated Node #0,3: 52:[2, 34, 33] Operation: 37-4=33 Exploring Operation: 34/2=17, Resulting Numbers: [4, 37, 17] Generated Node #0,4: 52:[4, 37, 17] Operation: 34/2=17 Moving to Node #0,0 Current State: 52:[2, 4, 3], Operations: ['37-34=3'] Exploring Operation: 43=12, Resulting Numbers: [2, 12] Generated Node #0,0,0: 52:[2, 12] Operation: 43=12 Exploring Operation: 4/2=2, Resulting Numbers: [3, 2] Generated Node #0,0,1: 52:[3, 2] Operation: 4/2=2 Exploring Operation: 2+3=5, Resulting Numbers: [4, 5] Generated Node #0,0,2: 52:[4, 5] Operation: 2+3=5 Exploring Operation: 3-2=1, Resulting Numbers: [4, 1] Generated Node #0,0,3: 52:[4, 1] Operation: 3-2=1 Exploring Operation: 4-2=2, Resulting Numbers: [3, 2] Generated Node #0,0,4: 52:[3, 2] Operation: 4-2=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[2, 12], Operations: ['37-34=3', '43=12'] Exploring Operation: 212=24, Resulting Numbers: [24] 24,52 unequal: No Solution Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,52 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,52 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 52:[3, 2], Operations: ['37-34=3', '4/2=2'] Exploring Operation: 32=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 52:[4, 5], Operations: ['37-34=3', '2+3=5'] Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,52 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 45=20, Resulting Numbers: [20] 20,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 52:[4, 1], Operations: ['37-34=3', '3-2=1'] Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 41=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 4+1=5, Resulting Numbers: [5] 5,52 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 52:[3, 2], Operations: ['37-34=3', '4-2=2'] Exploring Operation: 32=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 52:[2, 34, 33], Operations: ['37-4=33'] Exploring Operation: 33-2=31, Resulting Numbers: [34, 31] Generated Node #0,3,0: 52:[34, 31] Operation: 33-2=31 Exploring Operation: 34-2=32, Resulting Numbers: [33, 32] Generated Node #0,3,1: 52:[33, 32] Operation: 34-2=32 Exploring Operation: 34-33=1, Resulting Numbers: [2, 1] Generated Node #0,3,2: 52:[2, 1] Operation: 34-33=1 Exploring Operation: 34/2=17, Resulting Numbers: [33, 17] Generated Node #0,3,3: 52:[33, 17] Operation: 34/2=17 Exploring Operation: 34+33=67, Resulting Numbers: [2, 67] Generated Node #0,3,4: 52:[2, 67] Operation: 34+33=67 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 52:[2, 1], Operations: ['37-4=33', '34-33=1'] Exploring Operation: 21=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 2+1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 2/1=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 2-1=1, Resulting Numbers: [1] 1,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 52:[33, 17], Operations: ['37-4=33', '34/2=17'] Exploring Operation: 3317=561, Resulting Numbers: [561] 561,52 unequal: No Solution Exploring Operation: 33-17=16, Resulting Numbers: [16] 16,52 unequal: No Solution Exploring Operation: 33+17=50, Resulting Numbers: [50] 50,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 52:[34, 31], Operations: ['37-4=33', '33-2=31'] Exploring Operation: 34+31=65, Resulting Numbers: [65] 65,52 unequal: No Solution Exploring Operation: 3431=1054, Resulting Numbers: [1054] 1054,52 unequal: No Solution Exploring Operation: 34-31=3, Resulting Numbers: [3] 3,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 52:[33, 32], Operations: ['37-4=33', '34-2=32'] Exploring Operation: 33-32=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 3332=1056, Resulting Numbers: [1056] 1056,52 unequal: No Solution Exploring Operation: 33+32=65, Resulting Numbers: [65] 65,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 52:[2, 67], Operations: ['37-4=33', '34+33=67'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,52 unequal: No Solution Exploring Operation: 2+67=69, Resulting Numbers: [69] 69,52 unequal: No Solution Exploring Operation: 267=134, Resulting Numbers: [134] 134,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 52:[2, 37, 30], Operations: ['34-4=30'] Exploring Operation: 30/2=15, Resulting Numbers: [37, 15] Generated Node #0,2,0: 52:[37, 15] Operation: 30/2=15 Exploring Operation: 37+30=67, Resulting Numbers: [2, 67] Generated Node #0,2,1: 52:[2, 67] Operation: 37+30=67 Exploring Operation: 30-2=28, Resulting Numbers: [37, 28] Generated Node #0,2,2: 52:[37, 28] Operation: 30-2=28 Exploring Operation: 37-30=7, Resulting Numbers: [2, 7] Generated Node #0,2,3: 52:[2, 7] Operation: 37-30=7 Exploring Operation: 37-2=35, Resulting Numbers: [30, 35] Generated Node #0,2,4: 52:[30, 35] Operation: 37-2=35 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 52:[2, 7], Operations: ['34-4=30', '37-30=7'] Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,52 unequal: No Solution Exploring Operation: 27=14, Resulting Numbers: [14] 14,52 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 52:[37, 15], Operations: ['34-4=30', '30/2=15'] Exploring Operation: 37-15=22, Resulting Numbers: [22] 22,52 unequal: No Solution Exploring Operation: 37*15=555, Resulting Numbers: [555] 555,52 unequal: No Solution Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[2, 4, 34, 37], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [2, 37, 30] Generated Node #0,2: 52:[2, 37, 30] Operation: 34-4=30 Moving to Node #0,2 Current State: 52:[2, 37, 30], Operations: ['34-4=30'] Exploring Operation: 30/2=15, Resulting Numbers: [37, 15] Generated Node #0,2,0: 52:[37, 15] Operation: 30/2=15 Moving to Node #0,2,0 Current State: 52:[37, 15], Operations: ['34-4=30', '30/2=15'] Exploring Operation: 37+15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1	0.945313	hs_5	mult_heuristic
[ 1, 39, 60, 63 ]	12	[ "63-60=3", "39/3=13", "13-1=12" ]	Current State: 12:[1, 39, 60, 63], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [1, 39, 3] Generated Node #2: [1, 39, 3] from Operation: 63-60=3 Current State: 12:[1, 39, 3], Operations: ['63-60=3'] Exploring Operation: 39/3=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 39/3=13 Current State: 12:[1, 13], Operations: ['63-60=3', '39/3=13'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached	4	Current State: 12:[1, 39, 60, 63], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [1, 60, 24] Generated Node #0,0: 12:[1, 60, 24] Operation: 63-39=24 Exploring Operation: 63-60=3, Resulting Numbers: [1, 39, 3] Generated Node #0,1: 12:[1, 39, 3] Operation: 63-60=3 Exploring Operation: 60-39=21, Resulting Numbers: [1, 63, 21] Generated Node #0,2: 12:[1, 63, 21] Operation: 60-39=21 Moving to Node #0,1 Current State: 12:[1, 39, 3], Operations: ['63-60=3'] Exploring Operation: 39/3=13, Resulting Numbers: [1, 13] Generated Node #0,1,0: 12:[1, 13] Operation: 39/3=13 Exploring Operation: 39-3=36, Resulting Numbers: [1, 36] Generated Node #0,1,1: 12:[1, 36] Operation: 39-3=36 Exploring Operation: 39-1=38, Resulting Numbers: [3, 38] Generated Node #0,1,2: 12:[3, 38] Operation: 39-1=38 Moving to Node #0,0 Current State: 12:[1, 60, 24], Operations: ['63-39=24'] Exploring Operation: 60-24=36, Resulting Numbers: [1, 36] Generated Node #0,0,0: 12:[1, 36] Operation: 60-24=36 Exploring Operation: 24-1=23, Resulting Numbers: [60, 23] Generated Node #0,0,1: 12:[60, 23] Operation: 24-1=23 Exploring Operation: 60-1=59, Resulting Numbers: [24, 59] Generated Node #0,0,2: 12:[24, 59] Operation: 60-1=59 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 12:[1, 36], Operations: ['63-39=24', '60-24=36'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,12 unequal: No Solution Exploring Operation: 36/1=36, Resulting Numbers: [36] 36,12 unequal: No Solution Exploring Operation: 136=36, Resulting Numbers: [36] 36,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 12:[60, 23], Operations: ['63-39=24', '24-1=23'] Exploring Operation: 6023=1380, Resulting Numbers: [1380] 1380,12 unequal: No Solution Exploring Operation: 60+23=83, Resulting Numbers: [83] 83,12 unequal: No Solution Exploring Operation: 60-23=37, Resulting Numbers: [37] 37,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 12:[24, 59], Operations: ['63-39=24', '60-1=59'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,12 unequal: No Solution Exploring Operation: 24+59=83, Resulting Numbers: [83] 83,12 unequal: No Solution Exploring Operation: 2459=1416, Resulting Numbers: [1416] 1416,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 12:[1, 63, 21], Operations: ['60-39=21'] Exploring Operation: 63/21=3, Resulting Numbers: [1, 3] Generated Node #0,2,0: 12:[1, 3] Operation: 63/21=3 Exploring Operation: 63-21=42, Resulting Numbers: [1, 42] Generated Node #0,2,1: 12:[1, 42] Operation: 63-21=42 Exploring Operation: 63-1=62, Resulting Numbers: [21, 62] Generated Node #0,2,2: 12:[21, 62] Operation: 63-1=62 Moving to Node #0,2,0 Current State: 12:[1, 3], Operations: ['60-39=21', '63/21=3'] Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 1+3=4, Resulting Numbers: [4] 4,12 unequal: No Solution Exploring Operation: 13=3, Resulting Numbers: [3] 3,12 unequal: No Solution Moving to Node #0,1,0 Current State: 12:[1, 13], Operations: ['63-60=3', '39/3=13'] Exploring Operation: 1*13=13, Resulting Numbers: [13] 13,12 unequal: No Solution Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[1, 39, 60, 63], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [1, 39, 3] Generated Node #0,1: 12:[1, 39, 3] Operation: 63-60=3 Moving to Node #0,1 Current State: 12:[1, 39, 3], Operations: ['63-60=3'] Exploring Operation: 39/3=13, Resulting Numbers: [1, 13] Generated Node #0,1,0: 12:[1, 13] Operation: 39/3=13 Moving to Node #0,1,0 Current State: 12:[1, 13], Operations: ['63-60=3', '39/3=13'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached	0.973958	hs_3	mult_heuristic
[ 79, 37, 77, 21 ]	60	[ "79+37=116", "77-21=56", "116-56=60" ]	Current State: 60:[79, 37, 77, 21], Operations: [] Exploring Operation: 79+37=116, Resulting Numbers: [77, 21, 116] Generated Node #2: [77, 21, 116] from Operation: 79+37=116 Current State: 60:[77, 21, 116], Operations: ['79+37=116'] Exploring Operation: 77-21=56, Resulting Numbers: [116, 56] Generated Node #3: [116, 56] from Operation: 77-21=56 Current State: 60:[116, 56], Operations: ['79+37=116', '77-21=56'] Exploring Operation: 116-56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached	4	Current State: 60:[79, 37, 77, 21], Operations: [] Exploring Operation: 79-21=58, Resulting Numbers: [37, 77, 58] Generated Node #0,0: 60:[37, 77, 58] Operation: 79-21=58 Exploring Operation: 79-77=2, Resulting Numbers: [37, 21, 2] Generated Node #0,1: 60:[37, 21, 2] Operation: 79-77=2 Start Sub Search at level 1: Moving to Node #0,1 Current State: 60:[37, 21, 2], Operations: ['79-77=2'] Exploring Operation: 37+21=58, Resulting Numbers: [2, 58] Generated Node #0,1,0: 60:[2, 58] Operation: 37+21=58 Exploring Operation: 37-21=16, Resulting Numbers: [2, 16] Generated Node #0,1,1: 60:[2, 16] Operation: 37-21=16 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 60:[2, 16], Operations: ['79-77=2', '37-21=16'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,60 unequal: No Solution Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 60:[2, 58], Operations: ['79-77=2', '37+21=58'] Exploring Operation: 2+58=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[79, 37, 77, 21], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [37, 21, 2] Generated Node #0,1: 60:[37, 21, 2] Operation: 79-77=2 Moving to Node #0,1 Current State: 60:[37, 21, 2], Operations: ['79-77=2'] Exploring Operation: 37+21=58, Resulting Numbers: [2, 58] Generated Node #0,1,0: 60:[2, 58] Operation: 37+21=58 Moving to Node #0,1,0 Current State: 60:[2, 58], Operations: ['79-77=2', '37+21=58'] Exploring Operation: 2+58=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.990451	hs_2	mult_heuristic
[ 22, 51, 20, 15 ]	81	[ "22-20=2", "15*2=30", "51+30=81" ]	Current State: 81:[22, 51, 20, 15], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [51, 15, 2] Generated Node #2: [51, 15, 2] from Operation: 22-20=2 Current State: 81:[51, 15, 2], Operations: ['22-20=2'] Exploring Operation: 152=30, Resulting Numbers: [51, 30] Generated Node #3: [51, 30] from Operation: 152=30 Current State: 81:[51, 30], Operations: ['22-20=2', '15*2=30'] Exploring Operation: 51+30=81, Resulting Numbers: [81] 81,81 equal: Goal Reached	4	Current State: 81:[22, 51, 20, 15], Operations: [] Exploring Operation: 22+51=73, Resulting Numbers: [20, 15, 73] Generated Node #0,0: 81:[20, 15, 73] Operation: 22+51=73 Exploring Operation: 51-22=29, Resulting Numbers: [20, 15, 29] Generated Node #0,1: 81:[20, 15, 29] Operation: 51-22=29 Exploring Operation: 51-20=31, Resulting Numbers: [22, 15, 31] Generated Node #0,2: 81:[22, 15, 31] Operation: 51-20=31 Exploring Operation: 51+20=71, Resulting Numbers: [22, 15, 71] Generated Node #0,3: 81:[22, 15, 71] Operation: 51+20=71 Moving to Node #0,1 Current State: 81:[20, 15, 29], Operations: ['51-22=29'] Exploring Operation: 29-20=9, Resulting Numbers: [15, 9] Generated Node #0,1,0: 81:[15, 9] Operation: 29-20=9 Exploring Operation: 29-15=14, Resulting Numbers: [20, 14] Generated Node #0,1,1: 81:[20, 14] Operation: 29-15=14 Exploring Operation: 20+15=35, Resulting Numbers: [29, 35] Generated Node #0,1,2: 81:[29, 35] Operation: 20+15=35 Exploring Operation: 20-15=5, Resulting Numbers: [29, 5] Generated Node #0,1,3: 81:[29, 5] Operation: 20-15=5 Moving to Node #0,2 Current State: 81:[22, 15, 31], Operations: ['51-20=31'] Exploring Operation: 22+15=37, Resulting Numbers: [31, 37] Generated Node #0,2,0: 81:[31, 37] Operation: 22+15=37 Exploring Operation: 31-15=16, Resulting Numbers: [22, 16] Generated Node #0,2,1: 81:[22, 16] Operation: 31-15=16 Exploring Operation: 31-22=9, Resulting Numbers: [15, 9] Generated Node #0,2,2: 81:[15, 9] Operation: 31-22=9 Exploring Operation: 22-15=7, Resulting Numbers: [31, 7] Generated Node #0,2,3: 81:[31, 7] Operation: 22-15=7 Moving to Node #0,3 Current State: 81:[22, 15, 71], Operations: ['51+20=71'] Exploring Operation: 22+15=37, Resulting Numbers: [71, 37] Generated Node #0,3,0: 81:[71, 37] Operation: 22+15=37 Exploring Operation: 15+71=86, Resulting Numbers: [22, 86] Generated Node #0,3,1: 81:[22, 86] Operation: 15+71=86 Exploring Operation: 22-15=7, Resulting Numbers: [71, 7] Generated Node #0,3,2: 81:[71, 7] Operation: 22-15=7 Exploring Operation: 22+71=93, Resulting Numbers: [15, 93] Generated Node #0,3,3: 81:[15, 93] Operation: 22+71=93 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 81:[22, 86], Operations: ['51+20=71', '15+71=86'] Exploring Operation: 2286=1892, Resulting Numbers: [1892] 1892,81 unequal: No Solution Exploring Operation: 22+86=108, Resulting Numbers: [108] 108,81 unequal: No Solution Exploring Operation: 86-22=64, Resulting Numbers: [64] 64,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 81:[71, 7], Operations: ['51+20=71', '22-15=7'] Exploring Operation: 71-7=64, Resulting Numbers: [64] 64,81 unequal: No Solution Exploring Operation: 71+7=78, Resulting Numbers: [78] 78,81 unequal: No Solution Exploring Operation: 717=497, Resulting Numbers: [497] 497,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 81:[15, 93], Operations: ['51+20=71', '22+71=93'] Exploring Operation: 15+93=108, Resulting Numbers: [108] 108,81 unequal: No Solution Exploring Operation: 93-15=78, Resulting Numbers: [78] 78,81 unequal: No Solution Exploring Operation: 1593=1395, Resulting Numbers: [1395] 1395,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 81:[71, 37], Operations: ['51+20=71', '22+15=37'] Exploring Operation: 7137=2627, Resulting Numbers: [2627] 2627,81 unequal: No Solution Exploring Operation: 71+37=108, Resulting Numbers: [108] 108,81 unequal: No Solution Exploring Operation: 71-37=34, Resulting Numbers: [34] 34,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 81:[20, 15, 73], Operations: ['22+51=73'] Exploring Operation: 20+73=93, Resulting Numbers: [15, 93] Generated Node #0,0,0: 81:[15, 93] Operation: 20+73=93 Exploring Operation: 20+15=35, Resulting Numbers: [73, 35] Generated Node #0,0,1: 81:[73, 35] Operation: 20+15=35 Exploring Operation: 15+73=88, Resulting Numbers: [20, 88] Generated Node #0,0,2: 81:[20, 88] Operation: 15+73=88 Exploring Operation: 20-15=5, Resulting Numbers: [73, 5] Generated Node #0,0,3: 81:[73, 5] Operation: 20-15=5 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 81:[73, 5], Operations: ['22+51=73', '20-15=5'] Exploring Operation: 735=365, Resulting Numbers: [365] 365,81 unequal: No Solution Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,81 unequal: No Solution Exploring Operation: 73+5=78, Resulting Numbers: [78] 78,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 81:[20, 88], Operations: ['22+51=73', '15+73=88'] Exploring Operation: 88-20=68, Resulting Numbers: [68] 68,81 unequal: No Solution Exploring Operation: 2088=1760, Resulting Numbers: [1760] 1760,81 unequal: No Solution Exploring Operation: 20+88=108, Resulting Numbers: [108] 108,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 81:[73, 35], Operations: ['22+51=73', '20+15=35'] Exploring Operation: 73+35=108, Resulting Numbers: [108] 108,81 unequal: No Solution Exploring Operation: 7335=2555, Resulting Numbers: [2555] 2555,81 unequal: No Solution Exploring Operation: 73-35=38, Resulting Numbers: [38] 38,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 81:[15, 93], Operations: ['22+51=73', '20+73=93'] Exploring Operation: 1593=1395, Resulting Numbers: [1395] 1395,81 unequal: No Solution Exploring Operation: 15+93=108, Resulting Numbers: [108] 108,81 unequal: No Solution Exploring Operation: 93-15=78, Resulting Numbers: [78] 78,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,3 Current State: 81:[29, 5], Operations: ['51-22=29', '20-15=5'] Exploring Operation: 29+5=34, Resulting Numbers: [34] 34,81 unequal: No Solution Exploring Operation: 295=145, Resulting Numbers: [145] 145,81 unequal: No Solution Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,81 unequal: No Solution Moving to Node #0,2,3 Current State: 81:[31, 7], Operations: ['51-20=31', '22-15=7'] Exploring Operation: 317=217, Resulting Numbers: [217] 217,81 unequal: No Solution Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,81 unequal: No Solution Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,81 unequal: No Solution Moving to Node #0,1,0 Current State: 81:[15, 9], Operations: ['51-22=29', '29-20=9'] Exploring Operation: 15-9=6, Resulting Numbers: [6] 6,81 unequal: No Solution Exploring Operation: 15+9=24, Resulting Numbers: [24] 24,81 unequal: No Solution Exploring Operation: 159=135, Resulting Numbers: [135] 135,81 unequal: No Solution Moving to Node #0,2,2 Current State: 81:[15, 9], Operations: ['51-20=31', '31-22=9'] Exploring Operation: 159=135, Resulting Numbers: [135] 135,81 unequal: No Solution Exploring Operation: 15+9=24, Resulting Numbers: [24] 24,81 unequal: No Solution Exploring Operation: 15-9=6, Resulting Numbers: [6] 6,81 unequal: No Solution Moving to Node #0,1,2 Current State: 81:[29, 35], Operations: ['51-22=29', '20+15=35'] Exploring Operation: 29+35=64, Resulting Numbers: [64] 64,81 unequal: No Solution Exploring Operation: 2935=1015, Resulting Numbers: [1015] 1015,81 unequal: No Solution Exploring Operation: 35-29=6, Resulting Numbers: [6] 6,81 unequal: No Solution Moving to Node #0,2,1 Current State: 81:[22, 16], Operations: ['51-20=31', '31-15=16'] Exploring Operation: 2216=352, Resulting Numbers: [352] 352,81 unequal: No Solution Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,81 unequal: No Solution Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,81 unequal: No Solution Moving to Node #0,1,1 Current State: 81:[20, 14], Operations: ['51-22=29', '29-15=14'] Exploring Operation: 20-14=6, Resulting Numbers: [6] 6,81 unequal: No Solution Exploring Operation: 20+14=34, Resulting Numbers: [34] 34,81 unequal: No Solution Exploring Operation: 2014=280, Resulting Numbers: [280] 280,81 unequal: No Solution Moving to Node #0,2,0 Current State: 81:[31, 37], Operations: ['51-20=31', '22+15=37'] Exploring Operation: 3137=1147, Resulting Numbers: [1147] 1147,81 unequal: No Solution Exploring Operation: 37-31=6, Resulting Numbers: [6] 6,81 unequal: No Solution Exploring Operation: 31+37=68, Resulting Numbers: [68] 68,81 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 81, 70, 37, 69 ]	95	[ "81-70=11", "37+69=106", "106-11=95" ]	Current State: 95:[81, 70, 37, 69], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [37, 69, 11] Generated Node #2: [37, 69, 11] from Operation: 81-70=11 Current State: 95:[37, 69, 11], Operations: ['81-70=11'] Exploring Operation: 37+69=106, Resulting Numbers: [11, 106] Generated Node #3: [11, 106] from Operation: 37+69=106 Current State: 95:[11, 106], Operations: ['81-70=11', '37+69=106'] Exploring Operation: 106-11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[81, 70, 37, 69], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [37, 69, 11] Generated Node #0,0: 95:[37, 69, 11] Operation: 81-70=11 Exploring Operation: 70-69=1, Resulting Numbers: [81, 37, 1] Generated Node #0,1: 95:[81, 37, 1] Operation: 70-69=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 95:[81, 37, 1], Operations: ['70-69=1'] Exploring Operation: 81+37=118, Resulting Numbers: [1, 118] Generated Node #0,1,0: 95:[1, 118] Operation: 81+37=118 Exploring Operation: 81-37=44, Resulting Numbers: [1, 44] Generated Node #0,1,1: 95:[1, 44] Operation: 81-37=44 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 95:[1, 118], Operations: ['70-69=1', '81+37=118'] Exploring Operation: 118-1=117, Resulting Numbers: [117] 117,95 unequal: No Solution Exploring Operation: 1118=118, Resulting Numbers: [118] 118,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 95:[1, 44], Operations: ['70-69=1', '81-37=44'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,95 unequal: No Solution Exploring Operation: 144=44, Resulting Numbers: [44] 44,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 95:[37, 69, 11], Operations: ['81-70=11'] Exploring Operation: 37+69=106, Resulting Numbers: [11, 106] Generated Node #0,0,0: 95:[11, 106] Operation: 37+69=106 Exploring Operation: 69-37=32, Resulting Numbers: [11, 32] Generated Node #0,0,1: 95:[11, 32] Operation: 69-37=32 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 95:[11, 106], Operations: ['81-70=11', '37+69=106'] Exploring Operation: 106-11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[81, 70, 37, 69], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [37, 69, 11] Generated Node #0,0: 95:[37, 69, 11] Operation: 81-70=11 Moving to Node #0,0 Current State: 95:[37, 69, 11], Operations: ['81-70=11'] Exploring Operation: 37+69=106, Resulting Numbers: [11, 106] Generated Node #0,0,0: 95:[11, 106] Operation: 37+69=106 Moving to Node #0,0,0 Current State: 95:[11, 106], Operations: ['81-70=11', '37+69=106'] Exploring Operation: 106-11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986979	hs_2	sum_heuristic
[ 3, 93, 91, 13 ]	14	[ "93-3=90", "91+13=104", "104-90=14" ]	Current State: 14:[3, 93, 91, 13], Operations: [] Exploring Operation: 93-3=90, Resulting Numbers: [91, 13, 90] Generated Node #2: [91, 13, 90] from Operation: 93-3=90 Current State: 14:[91, 13, 90], Operations: ['93-3=90'] Exploring Operation: 91+13=104, Resulting Numbers: [90, 104] Generated Node #3: [90, 104] from Operation: 91+13=104 Current State: 14:[90, 104], Operations: ['93-3=90', '91+13=104'] Exploring Operation: 104-90=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[3, 93, 91, 13], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [91, 13, 31] Generated Node #0,0: 14:[91, 13, 31] Operation: 93/3=31 Exploring Operation: 91-13=78, Resulting Numbers: [3, 93, 78] Generated Node #0,1: 14:[3, 93, 78] Operation: 91-13=78 Exploring Operation: 91/13=7, Resulting Numbers: [3, 93, 7] Generated Node #0,2: 14:[3, 93, 7] Operation: 91/13=7 Exploring Operation: 93-13=80, Resulting Numbers: [3, 91, 80] Generated Node #0,3: 14:[3, 91, 80] Operation: 93-13=80 Exploring Operation: 93-91=2, Resulting Numbers: [3, 13, 2] Generated Node #0,4: 14:[3, 13, 2] Operation: 93-91=2 Start Sub Search at level 1: Moving to Node #0,4 Current State: 14:[3, 13, 2], Operations: ['93-91=2'] Exploring Operation: 3-2=1, Resulting Numbers: [13, 1] Generated Node #0,4,0: 14:[13, 1] Operation: 3-2=1 Exploring Operation: 3+13=16, Resulting Numbers: [2, 16] Generated Node #0,4,1: 14:[2, 16] Operation: 3+13=16 Exploring Operation: 32=6, Resulting Numbers: [13, 6] Generated Node #0,4,2: 14:[13, 6] Operation: 32=6 Exploring Operation: 13-3=10, Resulting Numbers: [2, 10] Generated Node #0,4,3: 14:[2, 10] Operation: 13-3=10 Exploring Operation: 13+2=15, Resulting Numbers: [3, 15] Generated Node #0,4,4: 14:[3, 15] Operation: 13+2=15 Moving to Node #0,4,0 Current State: 14:[13, 1], Operations: ['93-91=2', '3-2=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[3, 93, 91, 13], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [3, 13, 2] Generated Node #0,4: 14:[3, 13, 2] Operation: 93-91=2 Moving to Node #0,4 Current State: 14:[3, 13, 2], Operations: ['93-91=2'] Exploring Operation: 3-2=1, Resulting Numbers: [13, 1] Generated Node #0,4,0: 14:[13, 1] Operation: 3-2=1 Moving to Node #0,4,0 Current State: 14:[13, 1], Operations: ['93-91=2', '3-2=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_5	mult_heuristic
[ 43, 42, 40, 61 ]	47	[ "43-40=3", "42/3=14", "61-14=47" ]	Current State: 47:[43, 42, 40, 61], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [42, 61, 3] Generated Node #2: [42, 61, 3] from Operation: 43-40=3 Current State: 47:[42, 61, 3], Operations: ['43-40=3'] Exploring Operation: 42/3=14, Resulting Numbers: [61, 14] Generated Node #3: [61, 14] from Operation: 42/3=14 Current State: 47:[61, 14], Operations: ['43-40=3', '42/3=14'] Exploring Operation: 61-14=47, Resulting Numbers: [47] 47,47 equal: Goal Reached	4	Current State: 47:[43, 42, 40, 61], Operations: [] Exploring Operation: 61-42=19, Resulting Numbers: [43, 40, 19] Generated Node #0,0: 47:[43, 40, 19] Operation: 61-42=19 Exploring Operation: 61-40=21, Resulting Numbers: [43, 42, 21] Generated Node #0,1: 47:[43, 42, 21] Operation: 61-40=21 Moving to Node #0,1 Current State: 47:[43, 42, 21], Operations: ['61-40=21'] Exploring Operation: 42+21=63, Resulting Numbers: [43, 63] Generated Node #0,1,0: 47:[43, 63] Operation: 42+21=63 Exploring Operation: 43+21=64, Resulting Numbers: [42, 64] Generated Node #0,1,1: 47:[42, 64] Operation: 43+21=64 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 47:[43, 63], Operations: ['61-40=21', '42+21=63'] Exploring Operation: 43+63=106, Resulting Numbers: [106] 106,47 unequal: No Solution Exploring Operation: 63-43=20, Resulting Numbers: [20] 20,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 47:[42, 64], Operations: ['61-40=21', '43+21=64'] Exploring Operation: 64-42=22, Resulting Numbers: [22] 22,47 unequal: No Solution Exploring Operation: 42+64=106, Resulting Numbers: [106] 106,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 47:[43, 40, 19], Operations: ['61-42=19'] Exploring Operation: 43+19=62, Resulting Numbers: [40, 62] Generated Node #0,0,0: 47:[40, 62] Operation: 43+19=62 Exploring Operation: 40+19=59, Resulting Numbers: [43, 59] Generated Node #0,0,1: 47:[43, 59] Operation: 40+19=59 Moving to Node #0,0,1 Current State: 47:[43, 59], Operations: ['61-42=19', '40+19=59'] Exploring Operation: 43+59=102, Resulting Numbers: [102] 102,47 unequal: No Solution Exploring Operation: 59-43=16, Resulting Numbers: [16] 16,47 unequal: No Solution Moving to Node #0,0,0 Current State: 47:[40, 62], Operations: ['61-42=19', '43+19=62'] Exploring Operation: 62-40=22, Resulting Numbers: [22] 22,47 unequal: No Solution Exploring Operation: 40+62=102, Resulting Numbers: [102] 102,47 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 1, 95, 30, 77 ]	12	[ "1*95=95", "30+77=107", "107-95=12" ]	Current State: 12:[1, 95, 30, 77], Operations: [] Exploring Operation: 195=95, Resulting Numbers: [30, 77, 95] Generated Node #2: [30, 77, 95] from Operation: 195=95 Current State: 12:[30, 77, 95], Operations: ['195=95'] Exploring Operation: 30+77=107, Resulting Numbers: [95, 107] Generated Node #3: [95, 107] from Operation: 30+77=107 Current State: 12:[95, 107], Operations: ['195=95', '30+77=107'] Exploring Operation: 107-95=12, Resulting Numbers: [12] 12,12 equal: Goal Reached	4	Current State: 12:[1, 95, 30, 77], Operations: [] Exploring Operation: 95-30=65, Resulting Numbers: [1, 77, 65] Generated Node #0,0: 12:[1, 77, 65] Operation: 95-30=65 Exploring Operation: 77-30=47, Resulting Numbers: [1, 95, 47] Generated Node #0,1: 12:[1, 95, 47] Operation: 77-30=47 Exploring Operation: 95-77=18, Resulting Numbers: [1, 30, 18] Generated Node #0,2: 12:[1, 30, 18] Operation: 95-77=18 Start Sub Search at level 1: Moving to Node #0,2 Current State: 12:[1, 30, 18], Operations: ['95-77=18'] Exploring Operation: 30-1=29, Resulting Numbers: [18, 29] Generated Node #0,2,0: 12:[18, 29] Operation: 30-1=29 Exploring Operation: 30-18=12, Resulting Numbers: [1, 12] Generated Node #0,2,1: 12:[1, 12] Operation: 30-18=12 Exploring Operation: 18-1=17, Resulting Numbers: [30, 17] Generated Node #0,2,2: 12:[30, 17] Operation: 18-1=17 Moving to Node #0,2,1 Current State: 12:[1, 12], Operations: ['95-77=18', '30-18=12'] Exploring Operation: 12/1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[1, 95, 30, 77], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [1, 30, 18] Generated Node #0,2: 12:[1, 30, 18] Operation: 95-77=18 Moving to Node #0,2 Current State: 12:[1, 30, 18], Operations: ['95-77=18'] Exploring Operation: 30-18=12, Resulting Numbers: [1, 12] Generated Node #0,2,1: 12:[1, 12] Operation: 30-18=12 Moving to Node #0,2,1 Current State: 12:[1, 12], Operations: ['95-77=18', '30-18=12'] Exploring Operation: 12/1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 1	0.990451	hs_3	sum_heuristic
[ 61, 90, 75, 41 ]	85	[ "61+41=102", "75*102=7650", "7650/90=85" ]	Current State: 85:[61, 90, 75, 41], Operations: [] Exploring Operation: 61+41=102, Resulting Numbers: [90, 75, 102] Generated Node #2: [90, 75, 102] from Operation: 61+41=102 Current State: 85:[90, 75, 102], Operations: ['61+41=102'] Exploring Operation: 75102=7650, Resulting Numbers: [90, 7650] Generated Node #3: [90, 7650] from Operation: 75102=7650 Current State: 85:[90, 7650], Operations: ['61+41=102', '75*102=7650'] Exploring Operation: 7650/90=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	4	Current State: 85:[61, 90, 75, 41], Operations: [] Exploring Operation: 61-41=20, Resulting Numbers: [90, 75, 20] Generated Node #0,0: 85:[90, 75, 20] Operation: 61-41=20 Exploring Operation: 75-61=14, Resulting Numbers: [90, 41, 14] Generated Node #0,1: 85:[90, 41, 14] Operation: 75-61=14 Moving to Node #0,0 Current State: 85:[90, 75, 20], Operations: ['61-41=20'] Exploring Operation: 90-75=15, Resulting Numbers: [20, 15] Generated Node #0,0,0: 85:[20, 15] Operation: 90-75=15 Exploring Operation: 75+20=95, Resulting Numbers: [90, 95] Generated Node #0,0,1: 85:[90, 95] Operation: 75+20=95 Moving to Node #0,1 Current State: 85:[90, 41, 14], Operations: ['75-61=14'] Exploring Operation: 41-14=27, Resulting Numbers: [90, 27] Generated Node #0,1,0: 85:[90, 27] Operation: 41-14=27 Exploring Operation: 90-14=76, Resulting Numbers: [41, 76] Generated Node #0,1,1: 85:[41, 76] Operation: 90-14=76 Moving to Node #0,0,0 Current State: 85:[20, 15], Operations: ['61-41=20', '90-75=15'] Exploring Operation: 20-15=5, Resulting Numbers: [5] 5,85 unequal: No Solution Exploring Operation: 20+15=35, Resulting Numbers: [35] 35,85 unequal: No Solution Moving to Node #0,1,0 Current State: 85:[90, 27], Operations: ['75-61=14', '41-14=27'] Exploring Operation: 90+27=117, Resulting Numbers: [117] 117,85 unequal: No Solution Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,85 unequal: No Solution Moving to Node #0,0,1 Current State: 85:[90, 95], Operations: ['61-41=20', '75+20=95'] Exploring Operation: 95-90=5, Resulting Numbers: [5] 5,85 unequal: No Solution Exploring Operation: 90+95=185, Resulting Numbers: [185] 185,85 unequal: No Solution Moving to Node #0,1,1 Current State: 85:[41, 76], Operations: ['75-61=14', '90-14=76'] Exploring Operation: 41+76=117, Resulting Numbers: [117] 117,85 unequal: No Solution Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,85 unequal: No Solution No solution found.	0	hs_2	mult_heuristic
[ 2, 28, 13, 15 ]	45	[ "2*15=30", "28-13=15", "30+15=45" ]	Current State: 45:[2, 28, 13, 15], Operations: [] Exploring Operation: 215=30, Resulting Numbers: [28, 13, 30] Generated Node #2: [28, 13, 30] from Operation: 215=30 Current State: 45:[28, 13, 30], Operations: ['215=30'] Exploring Operation: 28-13=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 28-13=15 Current State: 45:[30, 15], Operations: ['215=30', '28-13=15'] Exploring Operation: 30+15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached	4	Current State: 45:[2, 28, 13, 15], Operations: [] Exploring Operation: 28+15=43, Resulting Numbers: [2, 13, 43] Generated Node #0,0: 45:[2, 13, 43] Operation: 28+15=43 Exploring Operation: 28/2=14, Resulting Numbers: [13, 15, 14] Generated Node #0,1: 45:[13, 15, 14] Operation: 28/2=14 Exploring Operation: 28+13=41, Resulting Numbers: [2, 15, 41] Generated Node #0,2: 45:[2, 15, 41] Operation: 28+13=41 Exploring Operation: 28-13=15, Resulting Numbers: [2, 15, 15] Generated Node #0,3: 45:[2, 15, 15] Operation: 28-13=15 Moving to Node #0,3 Current State: 45:[2, 15, 15], Operations: ['28-13=15'] Exploring Operation: 2+15=17, Resulting Numbers: [15, 17] Generated Node #0,3,0: 45:[15, 17] Operation: 2+15=17 Exploring Operation: 15-2=13, Resulting Numbers: [15, 13] Generated Node #0,3,1: 45:[15, 13] Operation: 15-2=13 Exploring Operation: 2+15=17, Resulting Numbers: [15, 17] Generated Node #0,3,2: 45:[15, 17] Operation: 2+15=17 Exploring Operation: 15-2=13, Resulting Numbers: [15, 13] Generated Node #0,3,3: 45:[15, 13] Operation: 15-2=13 Moving to Node #0,1 Current State: 45:[13, 15, 14], Operations: ['28/2=14'] Exploring Operation: 14-13=1, Resulting Numbers: [15, 1] Generated Node #0,1,0: 45:[15, 1] Operation: 14-13=1 Exploring Operation: 15-13=2, Resulting Numbers: [14, 2] Generated Node #0,1,1: 45:[14, 2] Operation: 15-13=2 Exploring Operation: 15-14=1, Resulting Numbers: [13, 1] Generated Node #0,1,2: 45:[13, 1] Operation: 15-14=1 Exploring Operation: 13+14=27, Resulting Numbers: [15, 27] Generated Node #0,1,3: 45:[15, 27] Operation: 13+14=27 Moving to Node #0,2 Current State: 45:[2, 15, 41], Operations: ['28+13=41'] Exploring Operation: 2+41=43, Resulting Numbers: [15, 43] Generated Node #0,2,0: 45:[15, 43] Operation: 2+41=43 Exploring Operation: 41-2=39, Resulting Numbers: [15, 39] Generated Node #0,2,1: 45:[15, 39] Operation: 41-2=39 Exploring Operation: 2+15=17, Resulting Numbers: [41, 17] Generated Node #0,2,2: 45:[41, 17] Operation: 2+15=17 Exploring Operation: 15-2=13, Resulting Numbers: [41, 13] Generated Node #0,2,3: 45:[41, 13] Operation: 15-2=13 Moving to Node #0,0 Current State: 45:[2, 13, 43], Operations: ['28+15=43'] Exploring Operation: 2+43=45, Resulting Numbers: [13, 45] Generated Node #0,0,0: 45:[13, 45] Operation: 2+43=45 Exploring Operation: 2+13=15, Resulting Numbers: [43, 15] Generated Node #0,0,1: 45:[43, 15] Operation: 2+13=15 Exploring Operation: 43-2=41, Resulting Numbers: [13, 41] Generated Node #0,0,2: 45:[13, 41] Operation: 43-2=41 Exploring Operation: 13-2=11, Resulting Numbers: [43, 11] Generated Node #0,0,3: 45:[43, 11] Operation: 13-2=11 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 45:[13, 45], Operations: ['28+15=43', '2+43=45'] Exploring Operation: 13+45=58, Resulting Numbers: [58] 58,45 unequal: No Solution Exploring Operation: 45-13=32, Resulting Numbers: [32] 32,45 unequal: No Solution Exploring Operation: 1345=585, Resulting Numbers: [585] 585,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 45:[43, 15], Operations: ['28+15=43', '2+13=15'] Exploring Operation: 4315=645, Resulting Numbers: [645] 645,45 unequal: No Solution Exploring Operation: 43+15=58, Resulting Numbers: [58] 58,45 unequal: No Solution Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 45:[43, 11], Operations: ['28+15=43', '13-2=11'] Exploring Operation: 43-11=32, Resulting Numbers: [32] 32,45 unequal: No Solution Exploring Operation: 4311=473, Resulting Numbers: [473] 473,45 unequal: No Solution Exploring Operation: 43+11=54, Resulting Numbers: [54] 54,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 45:[13, 41], Operations: ['28+15=43', '43-2=41'] Exploring Operation: 1341=533, Resulting Numbers: [533] 533,45 unequal: No Solution Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,45 unequal: No Solution Exploring Operation: 13+41=54, Resulting Numbers: [54] 54,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 45:[15, 17], Operations: ['28-13=15', '2+15=17'] Exploring Operation: 17-15=2, Resulting Numbers: [2] 2,45 unequal: No Solution Exploring Operation: 1517=255, Resulting Numbers: [255] 255,45 unequal: No Solution Exploring Operation: 15+17=32, Resulting Numbers: [32] 32,45 unequal: No Solution Moving to Node #0,3,2 Current State: 45:[15, 17], Operations: ['28-13=15', '2+15=17'] Exploring Operation: 15+17=32, Resulting Numbers: [32] 32,45 unequal: No Solution Exploring Operation: 17-15=2, Resulting Numbers: [2] 2,45 unequal: No Solution Exploring Operation: 1517=255, Resulting Numbers: [255] 255,45 unequal: No Solution Moving to Node #0,1,1 Current State: 45:[14, 2], Operations: ['28/2=14', '15-13=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,45 unequal: No Solution Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,45 unequal: No Solution Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,45 unequal: No Solution Exploring Operation: 142=28, Resulting Numbers: [28] 28,45 unequal: No Solution Moving to Node #0,3,1 Current State: 45:[15, 13], Operations: ['28-13=15', '15-2=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,45 unequal: No Solution Exploring Operation: 15-13=2, Resulting Numbers: [2] 2,45 unequal: No Solution Exploring Operation: 1513=195, Resulting Numbers: [195] 195,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[15, 1], Operations: ['28/2=14', '14-13=1'] Exploring Operation: 151=15, Resulting Numbers: [15] 15,45 unequal: No Solution Exploring Operation: 15/1=15, Resulting Numbers: [15] 15,45 unequal: No Solution Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,45 unequal: No Solution Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,45 unequal: No Solution Moving to Node #0,3,3 Current State: 45:[15, 13], Operations: ['28-13=15', '15-2=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,45 unequal: No Solution Exploring Operation: 15-13=2, Resulting Numbers: [2] 2,45 unequal: No Solution Exploring Operation: 1513=195, Resulting Numbers: [195] 195,45 unequal: No Solution Moving to Node #0,2,0 Current State: 45:[15, 43], Operations: ['28+13=41', '2+41=43'] Exploring Operation: 1543=645, Resulting Numbers: [645] 645,45 unequal: No Solution Exploring Operation: 15+43=58, Resulting Numbers: [58] 58,45 unequal: No Solution Exploring Operation: 43-15=28, Resulting Numbers: [28] 28,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[13, 1], Operations: ['28/2=14', '15-14=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,45 unequal: No Solution Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,45 unequal: No Solution Exploring Operation: 13/1=13, Resulting Numbers: [13] 13,45 unequal: No Solution Exploring Operation: 131=13, Resulting Numbers: [13] 13,45 unequal: No Solution Moving to Node #0,2,3 Current State: 45:[41, 13], Operations: ['28+13=41', '15-2=13'] Exploring Operation: 4113=533, Resulting Numbers: [533] 533,45 unequal: No Solution Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,45 unequal: No Solution Exploring Operation: 41+13=54, Resulting Numbers: [54] 54,45 unequal: No Solution Moving to Node #0,2,2 Current State: 45:[41, 17], Operations: ['28+13=41', '2+15=17'] Exploring Operation: 41+17=58, Resulting Numbers: [58] 58,45 unequal: No Solution Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,45 unequal: No Solution Exploring Operation: 4117=697, Resulting Numbers: [697] 697,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[15, 39], Operations: ['28+13=41', '41-2=39'] Exploring Operation: 1539=585, Resulting Numbers: [585] 585,45 unequal: No Solution Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,45 unequal: No Solution Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,45 unequal: No Solution Moving to Node #0,1,3 Current State: 45:[15, 27], Operations: ['28/2=14', '13+14=27'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,45 unequal: No Solution Exploring Operation: 1527=405, Resulting Numbers: [405] 405,45 unequal: No Solution Exploring Operation: 15+27=42, Resulting Numbers: [42] 42,45 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 95, 5, 33, 97 ]	71	[ "97-95=2", "33*2=66", "5+66=71" ]	Current State: 71:[95, 5, 33, 97], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [5, 33, 2] Generated Node #2: [5, 33, 2] from Operation: 97-95=2 Current State: 71:[5, 33, 2], Operations: ['97-95=2'] Exploring Operation: 332=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 332=66 Current State: 71:[5, 66], Operations: ['97-95=2', '33*2=66'] Exploring Operation: 5+66=71, Resulting Numbers: [71] 71,71 equal: Goal Reached	4	Current State: 71:[95, 5, 33, 97], Operations: [] Exploring Operation: 95-5=90, Resulting Numbers: [33, 97, 90] Generated Node #0,0: 71:[33, 97, 90] Operation: 95-5=90 Moving to Node #0,0 Current State: 71:[33, 97, 90], Operations: ['95-5=90'] Exploring Operation: 97-33=64, Resulting Numbers: [90, 64] Generated Node #0,0,0: 71:[90, 64] Operation: 97-33=64 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 71:[90, 64], Operations: ['95-5=90', '97-33=64'] Exploring Operation: 90-64=26, Resulting Numbers: [26] 26,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 48, 90, 44, 96 ]	94	[ "90-48=42", "96-44=52", "42+52=94" ]	Current State: 94:[48, 90, 44, 96], Operations: [] Exploring Operation: 90-48=42, Resulting Numbers: [44, 96, 42] Generated Node #2: [44, 96, 42] from Operation: 90-48=42 Current State: 94:[44, 96, 42], Operations: ['90-48=42'] Exploring Operation: 96-44=52, Resulting Numbers: [42, 52] Generated Node #3: [42, 52] from Operation: 96-44=52 Current State: 94:[42, 52], Operations: ['90-48=42', '96-44=52'] Exploring Operation: 42+52=94, Resulting Numbers: [94] 94,94 equal: Goal Reached	4	Current State: 94:[48, 90, 44, 96], Operations: [] Exploring Operation: 90-44=46, Resulting Numbers: [48, 96, 46] Generated Node #0,0: 94:[48, 96, 46] Operation: 90-44=46 Exploring Operation: 96/48=2, Resulting Numbers: [90, 44, 2] Generated Node #0,1: 94:[90, 44, 2] Operation: 96/48=2 Exploring Operation: 48+44=92, Resulting Numbers: [90, 96, 92] Generated Node #0,2: 94:[90, 96, 92] Operation: 48+44=92 Exploring Operation: 48-44=4, Resulting Numbers: [90, 96, 4] Generated Node #0,3: 94:[90, 96, 4] Operation: 48-44=4 Moving to Node #0,0 Current State: 94:[48, 96, 46], Operations: ['90-44=46'] Exploring Operation: 96-48=48, Resulting Numbers: [46, 48] Generated Node #0,0,0: 94:[46, 48] Operation: 96-48=48 Exploring Operation: 48-46=2, Resulting Numbers: [96, 2] Generated Node #0,0,1: 94:[96, 2] Operation: 48-46=2 Exploring Operation: 48+46=94, Resulting Numbers: [96, 94] Generated Node #0,0,2: 94:[96, 94] Operation: 48+46=94 Exploring Operation: 96/48=2, Resulting Numbers: [46, 2] Generated Node #0,0,3: 94:[46, 2] Operation: 96/48=2 Moving to Node #0,1 Current State: 94:[90, 44, 2], Operations: ['96/48=2'] Exploring Operation: 90/2=45, Resulting Numbers: [44, 45] Generated Node #0,1,0: 94:[44, 45] Operation: 90/2=45 Exploring Operation: 44+2=46, Resulting Numbers: [90, 46] Generated Node #0,1,1: 94:[90, 46] Operation: 44+2=46 Exploring Operation: 90+2=92, Resulting Numbers: [44, 92] Generated Node #0,1,2: 94:[44, 92] Operation: 90+2=92 Exploring Operation: 90-44=46, Resulting Numbers: [2, 46] Generated Node #0,1,3: 94:[2, 46] Operation: 90-44=46 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 94:[2, 46], Operations: ['96/48=2', '90-44=46'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,94 unequal: No Solution Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,94 unequal: No Solution Exploring Operation: 2+46=48, Resulting Numbers: [48] 48,94 unequal: No Solution Exploring Operation: 246=92, Resulting Numbers: [92] 92,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 94:[44, 45], Operations: ['96/48=2', '90/2=45'] Exploring Operation: 4445=1980, Resulting Numbers: [1980] 1980,94 unequal: No Solution Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,94 unequal: No Solution Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 94:[90, 46], Operations: ['96/48=2', '44+2=46'] Exploring Operation: 90-46=44, Resulting Numbers: [44] 44,94 unequal: No Solution Exploring Operation: 9046=4140, Resulting Numbers: [4140] 4140,94 unequal: No Solution Exploring Operation: 90+46=136, Resulting Numbers: [136] 136,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 94:[44, 92], Operations: ['96/48=2', '90+2=92'] Exploring Operation: 44+92=136, Resulting Numbers: [136] 136,94 unequal: No Solution Exploring Operation: 4492=4048, Resulting Numbers: [4048] 4048,94 unequal: No Solution Exploring Operation: 92-44=48, Resulting Numbers: [48] 48,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 94:[90, 96, 4], Operations: ['48-44=4'] Exploring Operation: 90-4=86, Resulting Numbers: [96, 86] Generated Node #0,3,0: 94:[96, 86] Operation: 90-4=86 Exploring Operation: 96-90=6, Resulting Numbers: [4, 6] Generated Node #0,3,1: 94:[4, 6] Operation: 96-90=6 Exploring Operation: 90+4=94, Resulting Numbers: [96, 94] Generated Node #0,3,2: 94:[96, 94] Operation: 90+4=94 Exploring Operation: 96-4=92, Resulting Numbers: [90, 92] Generated Node #0,3,3: 94:[90, 92] Operation: 96-4=92 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 94:[96, 94], Operations: ['48-44=4', '90+4=94'] Exploring Operation: 96+94=190, Resulting Numbers: [190] 190,94 unequal: No Solution Exploring Operation: 96-94=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 9694=9024, Resulting Numbers: [9024] 9024,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 94:[4, 6], Operations: ['48-44=4', '96-90=6'] Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 46=24, Resulting Numbers: [24] 24,94 unequal: No Solution Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 94:[90, 92], Operations: ['48-44=4', '96-4=92'] Exploring Operation: 92-90=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 9092=8280, Resulting Numbers: [8280] 8280,94 unequal: No Solution Exploring Operation: 90+92=182, Resulting Numbers: [182] 182,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 94:[96, 86], Operations: ['48-44=4', '90-4=86'] Exploring Operation: 96+86=182, Resulting Numbers: [182] 182,94 unequal: No Solution Exploring Operation: 9686=8256, Resulting Numbers: [8256] 8256,94 unequal: No Solution Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 94:[90, 96, 92], Operations: ['48+44=92'] Exploring Operation: 92-90=2, Resulting Numbers: [96, 2] Generated Node #0,2,0: 94:[96, 2] Operation: 92-90=2 Exploring Operation: 96-92=4, Resulting Numbers: [90, 4] Generated Node #0,2,1: 94:[90, 4] Operation: 96-92=4 Exploring Operation: 96-90=6, Resulting Numbers: [92, 6] Generated Node #0,2,2: 94:[92, 6] Operation: 96-90=6 Exploring Operation: 90+92=182, Resulting Numbers: [96, 182] Generated Node #0,2,3: 94:[96, 182] Operation: 90+92=182 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 94:[96, 2], Operations: ['48+44=92', '92-90=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[48, 90, 44, 96], Operations: [] Exploring Operation: 48+44=92, Resulting Numbers: [90, 96, 92] Generated Node #0,2: 94:[90, 96, 92] Operation: 48+44=92 Moving to Node #0,2 Current State: 94:[90, 96, 92], Operations: ['48+44=92'] Exploring Operation: 92-90=2, Resulting Numbers: [96, 2] Generated Node #0,2,0: 94:[96, 2] Operation: 92-90=2 Moving to Node #0,2,0 Current State: 94:[96, 2], Operations: ['48+44=92', '92-90=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 1	0.956597	hs_4	sum_heuristic
[ 32, 62, 44, 61 ]	11	[ "32+62=94", "44+61=105", "105-94=11" ]	Current State: 11:[32, 62, 44, 61], Operations: [] Exploring Operation: 32+62=94, Resulting Numbers: [44, 61, 94] Generated Node #2: [44, 61, 94] from Operation: 32+62=94 Current State: 11:[44, 61, 94], Operations: ['32+62=94'] Exploring Operation: 44+61=105, Resulting Numbers: [94, 105] Generated Node #3: [94, 105] from Operation: 44+61=105 Current State: 11:[94, 105], Operations: ['32+62=94', '44+61=105'] Exploring Operation: 105-94=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	4	Current State: 11:[32, 62, 44, 61], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [32, 44, 1] Generated Node #0,0: 11:[32, 44, 1] Operation: 62-61=1 Exploring Operation: 62-32=30, Resulting Numbers: [44, 61, 30] Generated Node #0,1: 11:[44, 61, 30] Operation: 62-32=30 Exploring Operation: 61-44=17, Resulting Numbers: [32, 62, 17] Generated Node #0,2: 11:[32, 62, 17] Operation: 61-44=17 Exploring Operation: 62-44=18, Resulting Numbers: [32, 61, 18] Generated Node #0,3: 11:[32, 61, 18] Operation: 62-44=18 Moving to Node #0,0 Current State: 11:[32, 44, 1], Operations: ['62-61=1'] Exploring Operation: 32-1=31, Resulting Numbers: [44, 31] Generated Node #0,0,0: 11:[44, 31] Operation: 32-1=31 Exploring Operation: 44-32=12, Resulting Numbers: [1, 12] Generated Node #0,0,1: 11:[1, 12] Operation: 44-32=12 Exploring Operation: 321=32, Resulting Numbers: [44, 32] Generated Node #0,0,2: 11:[44, 32] Operation: 321=32 Exploring Operation: 44-1=43, Resulting Numbers: [32, 43] Generated Node #0,0,3: 11:[32, 43] Operation: 44-1=43 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 11:[1, 12], Operations: ['62-61=1', '44-32=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,11 unequal: No Solution Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[32, 62, 44, 61], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [32, 44, 1] Generated Node #0,0: 11:[32, 44, 1] Operation: 62-61=1 Moving to Node #0,0 Current State: 11:[32, 44, 1], Operations: ['62-61=1'] Exploring Operation: 44-32=12, Resulting Numbers: [1, 12] Generated Node #0,0,1: 11:[1, 12] Operation: 44-32=12 Moving to Node #0,0,1 Current State: 11:[1, 12], Operations: ['62-61=1', '44-32=12'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1	0.987847	hs_4	mult_heuristic
[ 25, 80, 46, 45 ]	42	[ "45-25=20", "80/20=4", "46-4=42" ]	Current State: 42:[25, 80, 46, 45], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [80, 46, 20] Generated Node #2: [80, 46, 20] from Operation: 45-25=20 Current State: 42:[80, 46, 20], Operations: ['45-25=20'] Exploring Operation: 80/20=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 80/20=4 Current State: 42:[46, 4], Operations: ['45-25=20', '80/20=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached	4	Current State: 42:[25, 80, 46, 45], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [80, 45, 21] Generated Node #0,0: 42:[80, 45, 21] Operation: 46-25=21 Exploring Operation: 80-46=34, Resulting Numbers: [25, 45, 34] Generated Node #0,1: 42:[25, 45, 34] Operation: 80-46=34 Exploring Operation: 80-25=55, Resulting Numbers: [46, 45, 55] Generated Node #0,2: 42:[46, 45, 55] Operation: 80-25=55 Exploring Operation: 80-45=35, Resulting Numbers: [25, 46, 35] Generated Node #0,3: 42:[25, 46, 35] Operation: 80-45=35 Moving to Node #0,1 Current State: 42:[25, 45, 34], Operations: ['80-46=34'] Exploring Operation: 25+34=59, Resulting Numbers: [45, 59] Generated Node #0,1,0: 42:[45, 59] Operation: 25+34=59 Exploring Operation: 45-25=20, Resulting Numbers: [34, 20] Generated Node #0,1,1: 42:[34, 20] Operation: 45-25=20 Exploring Operation: 45-34=11, Resulting Numbers: [25, 11] Generated Node #0,1,2: 42:[25, 11] Operation: 45-34=11 Exploring Operation: 34-25=9, Resulting Numbers: [45, 9] Generated Node #0,1,3: 42:[45, 9] Operation: 34-25=9 Moving to Node #0,3 Current State: 42:[25, 46, 35], Operations: ['80-45=35'] Exploring Operation: 46-25=21, Resulting Numbers: [35, 21] Generated Node #0,3,0: 42:[35, 21] Operation: 46-25=21 Exploring Operation: 46-35=11, Resulting Numbers: [25, 11] Generated Node #0,3,1: 42:[25, 11] Operation: 46-35=11 Exploring Operation: 25+35=60, Resulting Numbers: [46, 60] Generated Node #0,3,2: 42:[46, 60] Operation: 25+35=60 Exploring Operation: 35-25=10, Resulting Numbers: [46, 10] Generated Node #0,3,3: 42:[46, 10] Operation: 35-25=10 Moving to Node #0,2 Current State: 42:[46, 45, 55], Operations: ['80-25=55'] Exploring Operation: 46+45=91, Resulting Numbers: [55, 91] Generated Node #0,2,0: 42:[55, 91] Operation: 46+45=91 Exploring Operation: 55-46=9, Resulting Numbers: [45, 9] Generated Node #0,2,1: 42:[45, 9] Operation: 55-46=9 Exploring Operation: 55-45=10, Resulting Numbers: [46, 10] Generated Node #0,2,2: 42:[46, 10] Operation: 55-45=10 Exploring Operation: 46-45=1, Resulting Numbers: [55, 1] Generated Node #0,2,3: 42:[55, 1] Operation: 46-45=1 Moving to Node #0,0 Current State: 42:[80, 45, 21], Operations: ['46-25=21'] Exploring Operation: 80+21=101, Resulting Numbers: [45, 101] Generated Node #0,0,0: 42:[45, 101] Operation: 80+21=101 Exploring Operation: 80-21=59, Resulting Numbers: [45, 59] Generated Node #0,0,1: 42:[45, 59] Operation: 80-21=59 Exploring Operation: 80-45=35, Resulting Numbers: [21, 35] Generated Node #0,0,2: 42:[21, 35] Operation: 80-45=35 Exploring Operation: 45-21=24, Resulting Numbers: [80, 24] Generated Node #0,0,3: 42:[80, 24] Operation: 45-21=24 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 42:[21, 35], Operations: ['46-25=21', '80-45=35'] Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,42 unequal: No Solution Exploring Operation: 2135=735, Resulting Numbers: [735] 735,42 unequal: No Solution Exploring Operation: 21+35=56, Resulting Numbers: [56] 56,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 42:[45, 59], Operations: ['46-25=21', '80-21=59'] Exploring Operation: 4559=2655, Resulting Numbers: [2655] 2655,42 unequal: No Solution Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,42 unequal: No Solution Exploring Operation: 45+59=104, Resulting Numbers: [104] 104,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 42:[80, 24], Operations: ['46-25=21', '45-21=24'] Exploring Operation: 8024=1920, Resulting Numbers: [1920] 1920,42 unequal: No Solution Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,42 unequal: No Solution Exploring Operation: 80+24=104, Resulting Numbers: [104] 104,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 42:[45, 101], Operations: ['46-25=21', '80+21=101'] Exploring Operation: 45101=4545, Resulting Numbers: [4545] 4545,42 unequal: No Solution Exploring Operation: 101-45=56, Resulting Numbers: [56] 56,42 unequal: No Solution Exploring Operation: 45+101=146, Resulting Numbers: [146] 146,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,3 Current State: 42:[45, 9], Operations: ['80-46=34', '34-25=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,42 unequal: No Solution Exploring Operation: 45/9=5, Resulting Numbers: [5] 5,42 unequal: No Solution Exploring Operation: 45-9=36, Resulting Numbers: [36] 36,42 unequal: No Solution Exploring Operation: 459=405, Resulting Numbers: [405] 405,42 unequal: No Solution Moving to Node #0,2,1 Current State: 42:[45, 9], Operations: ['80-25=55', '55-46=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,42 unequal: No Solution Exploring Operation: 459=405, Resulting Numbers: [405] 405,42 unequal: No Solution Exploring Operation: 45-9=36, Resulting Numbers: [36] 36,42 unequal: No Solution Exploring Operation: 45/9=5, Resulting Numbers: [5] 5,42 unequal: No Solution Moving to Node #0,3,1 Current State: 42:[25, 11], Operations: ['80-45=35', '46-35=11'] Exploring Operation: 2511=275, Resulting Numbers: [275] 275,42 unequal: No Solution Exploring Operation: 25+11=36, Resulting Numbers: [36] 36,42 unequal: No Solution Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,42 unequal: No Solution Moving to Node #0,3,3 Current State: 42:[46, 10], Operations: ['80-45=35', '35-25=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,42 unequal: No Solution Exploring Operation: 4610=460, Resulting Numbers: [460] 460,42 unequal: No Solution Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,42 unequal: No Solution Moving to Node #0,3,0 Current State: 42:[35, 21], Operations: ['80-45=35', '46-25=21'] Exploring Operation: 35+21=56, Resulting Numbers: [56] 56,42 unequal: No Solution Exploring Operation: 3521=735, Resulting Numbers: [735] 735,42 unequal: No Solution Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,42 unequal: No Solution Moving to Node #0,2,2 Current State: 42:[46, 10], Operations: ['80-25=55', '55-45=10'] Exploring Operation: 4610=460, Resulting Numbers: [460] 460,42 unequal: No Solution Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,42 unequal: No Solution Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,42 unequal: No Solution Moving to Node #0,1,2 Current State: 42:[25, 11], Operations: ['80-46=34', '45-34=11'] Exploring Operation: 2511=275, Resulting Numbers: [275] 275,42 unequal: No Solution Exploring Operation: 25+11=36, Resulting Numbers: [36] 36,42 unequal: No Solution Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,42 unequal: No Solution Moving to Node #0,1,1 Current State: 42:[34, 20], Operations: ['80-46=34', '45-25=20'] Exploring Operation: 3420=680, Resulting Numbers: [680] 680,42 unequal: No Solution Exploring Operation: 34-20=14, Resulting Numbers: [14] 14,42 unequal: No Solution Exploring Operation: 34+20=54, Resulting Numbers: [54] 54,42 unequal: No Solution Moving to Node #0,2,3 Current State: 42:[55, 1], Operations: ['80-25=55', '46-45=1'] Exploring Operation: 55/1=55, Resulting Numbers: [55] 55,42 unequal: No Solution Exploring Operation: 551=55, Resulting Numbers: [55] 55,42 unequal: No Solution Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,42 unequal: No Solution Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,42 unequal: No Solution Moving to Node #0,1,0 Current State: 42:[45, 59], Operations: ['80-46=34', '25+34=59'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,42 unequal: No Solution Exploring Operation: 4559=2655, Resulting Numbers: [2655] 2655,42 unequal: No Solution Exploring Operation: 45+59=104, Resulting Numbers: [104] 104,42 unequal: No Solution Moving to Node #0,3,2 Current State: 42:[46, 60], Operations: ['80-45=35', '25+35=60'] Exploring Operation: 46+60=106, Resulting Numbers: [106] 106,42 unequal: No Solution Exploring Operation: 60-46=14, Resulting Numbers: [14] 14,42 unequal: No Solution Exploring Operation: 4660=2760, Resulting Numbers: [2760] 2760,42 unequal: No Solution Moving to Node #0,2,0 Current State: 42:[55, 91], Operations: ['80-25=55', '46+45=91'] Exploring Operation: 5591=5005, Resulting Numbers: [5005] 5005,42 unequal: No Solution Exploring Operation: 55+91=146, Resulting Numbers: [146] 146,42 unequal: No Solution Exploring Operation: 91-55=36, Resulting Numbers: [36] 36,42 unequal: No Solution No solution found.	0	hs_4	mult_heuristic
[ 3, 44, 12, 8 ]	14	[ "12-8=4", "44/4=11", "3+11=14" ]	Current State: 14:[3, 44, 12, 8], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [3, 44, 4] Generated Node #2: [3, 44, 4] from Operation: 12-8=4 Current State: 14:[3, 44, 4], Operations: ['12-8=4'] Exploring Operation: 44/4=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 44/4=11 Current State: 14:[3, 11], Operations: ['12-8=4', '44/4=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached	4	Current State: 14:[3, 44, 12, 8], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [3, 8, 32] Generated Node #0,0: 14:[3, 8, 32] Operation: 44-12=32 Start Sub Search at level 1: Moving to Node #0,0 Current State: 14:[3, 8, 32], Operations: ['44-12=32'] Exploring Operation: 32/8=4, Resulting Numbers: [3, 4] Generated Node #0,0,0: 14:[3, 4] Operation: 32/8=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 14:[3, 4], Operations: ['44-12=32', '32/8=4'] Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,14 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 33, 17, 12, 55 ]	51	[ "33-17=16", "12+55=67", "67-16=51" ]	Current State: 51:[33, 17, 12, 55], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [12, 55, 16] Generated Node #2: [12, 55, 16] from Operation: 33-17=16 Current State: 51:[12, 55, 16], Operations: ['33-17=16'] Exploring Operation: 12+55=67, Resulting Numbers: [16, 67] Generated Node #3: [16, 67] from Operation: 12+55=67 Current State: 51:[16, 67], Operations: ['33-17=16', '12+55=67'] Exploring Operation: 67-16=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[33, 17, 12, 55], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [17, 55, 21] Generated Node #0,0: 51:[17, 55, 21] Operation: 33-12=21 Exploring Operation: 33+17=50, Resulting Numbers: [12, 55, 50] Generated Node #0,1: 51:[12, 55, 50] Operation: 33+17=50 Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[17, 55, 21], Operations: ['33-12=21'] Exploring Operation: 55-17=38, Resulting Numbers: [21, 38] Generated Node #0,0,0: 51:[21, 38] Operation: 55-17=38 Exploring Operation: 21-17=4, Resulting Numbers: [55, 4] Generated Node #0,0,1: 51:[55, 4] Operation: 21-17=4 Moving to Node #0,0,1 Current State: 51:[55, 4], Operations: ['33-12=21', '21-17=4'] Exploring Operation: 55+4=59, Resulting Numbers: [59] 59,51 unequal: No Solution Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[33, 17, 12, 55], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [17, 55, 21] Generated Node #0,0: 51:[17, 55, 21] Operation: 33-12=21 Moving to Node #0,0 Current State: 51:[17, 55, 21], Operations: ['33-12=21'] Exploring Operation: 21-17=4, Resulting Numbers: [55, 4] Generated Node #0,0,1: 51:[55, 4] Operation: 21-17=4 Moving to Node #0,0,1 Current State: 51:[55, 4], Operations: ['33-12=21', '21-17=4'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	mult_heuristic
[ 39, 88, 28, 98 ]	77	[ "88-39=49", "28+98=126", "126-49=77" ]	Current State: 77:[39, 88, 28, 98], Operations: [] Exploring Operation: 88-39=49, Resulting Numbers: [28, 98, 49] Generated Node #2: [28, 98, 49] from Operation: 88-39=49 Current State: 77:[28, 98, 49], Operations: ['88-39=49'] Exploring Operation: 28+98=126, Resulting Numbers: [49, 126] Generated Node #3: [49, 126] from Operation: 28+98=126 Current State: 77:[49, 126], Operations: ['88-39=49', '28+98=126'] Exploring Operation: 126-49=77, Resulting Numbers: [77] 77,77 equal: Goal Reached	4	Current State: 77:[39, 88, 28, 98], Operations: [] Exploring Operation: 98-39=59, Resulting Numbers: [88, 28, 59] Generated Node #0,0: 77:[88, 28, 59] Operation: 98-39=59 Exploring Operation: 39+28=67, Resulting Numbers: [88, 98, 67] Generated Node #0,1: 77:[88, 98, 67] Operation: 39+28=67 Exploring Operation: 98-88=10, Resulting Numbers: [39, 28, 10] Generated Node #0,2: 77:[39, 28, 10] Operation: 98-88=10 Exploring Operation: 39-28=11, Resulting Numbers: [88, 98, 11] Generated Node #0,3: 77:[88, 98, 11] Operation: 39-28=11 Start Sub Search at level 1: Moving to Node #0,3 Current State: 77:[88, 98, 11], Operations: ['39-28=11'] Exploring Operation: 88-11=77, Resulting Numbers: [98, 77] Generated Node #0,3,0: 77:[98, 77] Operation: 88-11=77 Exploring Operation: 98-88=10, Resulting Numbers: [11, 10] Generated Node #0,3,1: 77:[11, 10] Operation: 98-88=10 Exploring Operation: 98-11=87, Resulting Numbers: [88, 87] Generated Node #0,3,2: 77:[88, 87] Operation: 98-11=87 Exploring Operation: 88/11=8, Resulting Numbers: [98, 8] Generated Node #0,3,3: 77:[98, 8] Operation: 88/11=8 Moving to Node #0,3,1 Current State: 77:[11, 10], Operations: ['39-28=11', '98-88=10'] Exploring Operation: 1110=110, Resulting Numbers: [110] 110,77 unequal: No Solution Exploring Operation: 11-10=1, Resulting Numbers: [1] 1,77 unequal: No Solution Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,77 unequal: No Solution Moving to Node #0,3,2 Current State: 77:[88, 87], Operations: ['39-28=11', '98-11=87'] Exploring Operation: 8887=7656, Resulting Numbers: [7656] 7656,77 unequal: No Solution Exploring Operation: 88+87=175, Resulting Numbers: [175] 175,77 unequal: No Solution Exploring Operation: 88-87=1, Resulting Numbers: [1] 1,77 unequal: No Solution Moving to Node #0,3,0 Current State: 77:[98, 77], Operations: ['39-28=11', '88-11=77'] Exploring Operation: 9877=7546, Resulting Numbers: [7546] 7546,77 unequal: No Solution Exploring Operation: 98+77=175, Resulting Numbers: [175] 175,77 unequal: No Solution Exploring Operation: 98-77=21, Resulting Numbers: [21] 21,77 unequal: No Solution Moving to Node #0,3,3 Current State: 77:[98, 8], Operations: ['39-28=11', '88/11=8'] Exploring Operation: 988=784, Resulting Numbers: [784] 784,77 unequal: No Solution Exploring Operation: 98+8=106, Resulting Numbers: [106] 106,77 unequal: No Solution Exploring Operation: 98-8=90, Resulting Numbers: [90] 90,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 77:[88, 98, 67], Operations: ['39+28=67'] Exploring Operation: 88-67=21, Resulting Numbers: [98, 21] Generated Node #0,1,0: 77:[98, 21] Operation: 88-67=21 Exploring Operation: 88+67=155, Resulting Numbers: [98, 155] Generated Node #0,1,1: 77:[98, 155] Operation: 88+67=155 Exploring Operation: 98-88=10, Resulting Numbers: [67, 10] Generated Node #0,1,2: 77:[67, 10] Operation: 98-88=10 Exploring Operation: 98-67=31, Resulting Numbers: [88, 31] Generated Node #0,1,3: 77:[88, 31] Operation: 98-67=31 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 77:[67, 10], Operations: ['39+28=67', '98-88=10'] Exploring Operation: 67*10=670, Resulting Numbers: [670] 670,77 unequal: No Solution Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,77 unequal: No Solution Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[39, 88, 28, 98], Operations: [] Exploring Operation: 39+28=67, Resulting Numbers: [88, 98, 67] Generated Node #0,1: 77:[88, 98, 67] Operation: 39+28=67 Moving to Node #0,1 Current State: 77:[88, 98, 67], Operations: ['39+28=67'] Exploring Operation: 98-88=10, Resulting Numbers: [67, 10] Generated Node #0,1,2: 77:[67, 10] Operation: 98-88=10 Moving to Node #0,1,2 Current State: 77:[67, 10], Operations: ['39+28=67', '98-88=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.97309	hs_4	mult_heuristic
[ 97, 69, 5, 34 ]	66	[ "97+5=102", "102/34=3", "69-3=66" ]	Current State: 66:[97, 69, 5, 34], Operations: [] Exploring Operation: 97+5=102, Resulting Numbers: [69, 34, 102] Generated Node #2: [69, 34, 102] from Operation: 97+5=102 Current State: 66:[69, 34, 102], Operations: ['97+5=102'] Exploring Operation: 102/34=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 102/34=3 Current State: 66:[69, 3], Operations: ['97+5=102', '102/34=3'] Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached	4	Current State: 66:[97, 69, 5, 34], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [5, 34, 28] Generated Node #0,0: 66:[5, 34, 28] Operation: 97-69=28 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[5, 34, 28], Operations: ['97-69=28'] Exploring Operation: 5+28=33, Resulting Numbers: [34, 33] Generated Node #0,0,0: 66:[34, 33] Operation: 5+28=33 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 66:[34, 33], Operations: ['97-69=28', '5+28=33'] Exploring Operation: 34+33=67, Resulting Numbers: [67] 67,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 76, 64, 70, 16 ]	10	[ "76-70=6", "64/16=4", "6+4=10" ]	Current State: 10:[76, 64, 70, 16], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [64, 16, 6] Generated Node #2: [64, 16, 6] from Operation: 76-70=6 Current State: 10:[64, 16, 6], Operations: ['76-70=6'] Exploring Operation: 64/16=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 64/16=4 Current State: 10:[6, 4], Operations: ['76-70=6', '64/16=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached	4	Current State: 10:[76, 64, 70, 16], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [64, 16, 6] Generated Node #0,0: 10:[64, 16, 6] Operation: 76-70=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 10:[64, 16, 6], Operations: ['76-70=6'] Exploring Operation: 64/16=4, Resulting Numbers: [6, 4] Generated Node #0,0,0: 10:[6, 4] Operation: 64/16=4 Moving to Node #0,0,0 Current State: 10:[6, 4], Operations: ['76-70=6', '64/16=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[76, 64, 70, 16], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [64, 16, 6] Generated Node #0,0: 10:[64, 16, 6] Operation: 76-70=6 Moving to Node #0,0 Current State: 10:[64, 16, 6], Operations: ['76-70=6'] Exploring Operation: 64/16=4, Resulting Numbers: [6, 4] Generated Node #0,0,0: 10:[6, 4] Operation: 64/16=4 Moving to Node #0,0,0 Current State: 10:[6, 4], Operations: ['76-70=6', '64/16=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic
[ 23, 83, 25, 25 ]	29	[ "25-23=2", "83-25=58", "58/2=29" ]	Current State: 29:[23, 83, 25, 25], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [83, 2] Generated Node #2: [83, 2] from Operation: 25-23=2 Current State: 29:[83, 2], Operations: ['25-23=2'] Exploring Operation: 83-25=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 83-25=58 Current State: 29:[2, 58], Operations: ['25-23=2', '83-25=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached	4	Current State: 29:[23, 83, 25, 25], Operations: [] Exploring Operation: 83-25=58, Resulting Numbers: [23, 25, 58] Generated Node #0,0: 29:[23, 25, 58] Operation: 83-25=58 Exploring Operation: 83-25=58, Resulting Numbers: [23, 25, 58] Generated Node #0,1: 29:[23, 25, 58] Operation: 83-25=58 Exploring Operation: 83-23=60, Resulting Numbers: [25, 25, 60] Generated Node #0,2: 29:[25, 25, 60] Operation: 83-23=60 Moving to Node #0,0 Current State: 29:[23, 25, 58], Operations: ['83-25=58'] Exploring Operation: 23+25=48, Resulting Numbers: [58, 48] Generated Node #0,0,0: 29:[58, 48] Operation: 23+25=48 Exploring Operation: 58-25=33, Resulting Numbers: [23, 33] Generated Node #0,0,1: 29:[23, 33] Operation: 58-25=33 Exploring Operation: 58-23=35, Resulting Numbers: [25, 35] Generated Node #0,0,2: 29:[25, 35] Operation: 58-23=35 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 29:[23, 33], Operations: ['83-25=58', '58-25=33'] Exploring Operation: 2333=759, Resulting Numbers: [759] 759,29 unequal: No Solution Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,29 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 29:[25, 35], Operations: ['83-25=58', '58-23=35'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,29 unequal: No Solution Exploring Operation: 2535=875, Resulting Numbers: [875] 875,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 29:[58, 48], Operations: ['83-25=58', '23+25=48'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 5848=2784, Resulting Numbers: [2784] 2784,29 unequal: No Solution Exploring Operation: 58+48=106, Resulting Numbers: [106] 106,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 29:[23, 25, 58], Operations: ['83-25=58'] Exploring Operation: 58-23=35, Resulting Numbers: [25, 35] Generated Node #0,1,0: 29:[25, 35] Operation: 58-23=35 Exploring Operation: 58-25=33, Resulting Numbers: [23, 33] Generated Node #0,1,1: 29:[23, 33] Operation: 58-25=33 Exploring Operation: 23+25=48, Resulting Numbers: [58, 48] Generated Node #0,1,2: 29:[58, 48] Operation: 23+25=48 Moving to Node #0,2 Current State: 29:[25, 25, 60], Operations: ['83-23=60'] Exploring Operation: 60-25=35, Resulting Numbers: [25, 35] Generated Node #0,2,0: 29:[25, 35] Operation: 60-25=35 Exploring Operation: 25+25=50, Resulting Numbers: [60, 50] Generated Node #0,2,1: 29:[60, 50] Operation: 25+25=50 Exploring Operation: 60-25=35, Resulting Numbers: [25, 35] Generated Node #0,2,2: 29:[25, 35] Operation: 60-25=35 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 29:[25, 35], Operations: ['83-23=60', '60-25=35'] Exploring Operation: 2535=875, Resulting Numbers: [875] 875,29 unequal: No Solution Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 29:[25, 35], Operations: ['83-23=60', '60-25=35'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,29 unequal: No Solution Exploring Operation: 2535=875, Resulting Numbers: [875] 875,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 29:[60, 50], Operations: ['83-23=60', '25+25=50'] Exploring Operation: 6050=3000, Resulting Numbers: [3000] 3000,29 unequal: No Solution Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 60+50=110, Resulting Numbers: [110] 110,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 29:[25, 35], Operations: ['83-25=58', '58-23=35'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 2535=875, Resulting Numbers: [875] 875,29 unequal: No Solution Exploring Operation: 25+35=60, Resulting Numbers: [60] 60,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[23, 33], Operations: ['83-25=58', '58-25=33'] Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 2333=759, Resulting Numbers: [759] 759,29 unequal: No Solution Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,29 unequal: No Solution Moving to Node #0,1,2 Current State: 29:[58, 48], Operations: ['83-25=58', '23+25=48'] Exploring Operation: 58-48=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 58+48=106, Resulting Numbers: [106] 106,29 unequal: No Solution Exploring Operation: 58*48=2784, Resulting Numbers: [2784] 2784,29 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 32, 15, 4, 28 ]	35	[ "32/4=8", "15+28=43", "43-8=35" ]	Current State: 35:[32, 15, 4, 28], Operations: [] Exploring Operation: 32/4=8, Resulting Numbers: [15, 28, 8] Generated Node #2: [15, 28, 8] from Operation: 32/4=8 Current State: 35:[15, 28, 8], Operations: ['32/4=8'] Exploring Operation: 15+28=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 15+28=43 Current State: 35:[8, 43], Operations: ['32/4=8', '15+28=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached	4	Current State: 35:[32, 15, 4, 28], Operations: [] Exploring Operation: 15+28=43, Resulting Numbers: [32, 4, 43] Generated Node #0,0: 35:[32, 4, 43] Operation: 15+28=43 Exploring Operation: 32-28=4, Resulting Numbers: [15, 4, 4] Generated Node #0,1: 35:[15, 4, 4] Operation: 32-28=4 Exploring Operation: 28/4=7, Resulting Numbers: [32, 15, 7] Generated Node #0,2: 35:[32, 15, 7] Operation: 28/4=7 Exploring Operation: 28-15=13, Resulting Numbers: [32, 4, 13] Generated Node #0,3: 35:[32, 4, 13] Operation: 28-15=13 Moving to Node #0,1 Current State: 35:[15, 4, 4], Operations: ['32-28=4'] Exploring Operation: 4+4=8, Resulting Numbers: [15, 8] Generated Node #0,1,0: 35:[15, 8] Operation: 4+4=8 Exploring Operation: 4/4=1, Resulting Numbers: [15, 1] Generated Node #0,1,1: 35:[15, 1] Operation: 4/4=1 Exploring Operation: 15-4=11, Resulting Numbers: [4, 11] Generated Node #0,1,2: 35:[4, 11] Operation: 15-4=11 Exploring Operation: 15-4=11, Resulting Numbers: [4, 11] Generated Node #0,1,3: 35:[4, 11] Operation: 15-4=11 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 35:[4, 11], Operations: ['32-28=4', '15-4=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 411=44, Resulting Numbers: [44] 44,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 35:[4, 11], Operations: ['32-28=4', '15-4=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 411=44, Resulting Numbers: [44] 44,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 35:[15, 8], Operations: ['32-28=4', '4+4=8'] Exploring Operation: 15-8=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 158=120, Resulting Numbers: [120] 120,35 unequal: No Solution Exploring Operation: 15+8=23, Resulting Numbers: [23] 23,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 35:[15, 1], Operations: ['32-28=4', '4/4=1'] Exploring Operation: 151=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 15/1=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,35 unequal: No Solution Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 35:[32, 4, 13], Operations: ['28-15=13'] Exploring Operation: 32/4=8, Resulting Numbers: [13, 8] Generated Node #0,3,0: 35:[13, 8] Operation: 32/4=8 Exploring Operation: 32+13=45, Resulting Numbers: [4, 45] Generated Node #0,3,1: 35:[4, 45] Operation: 32+13=45 Exploring Operation: 13-4=9, Resulting Numbers: [32, 9] Generated Node #0,3,2: 35:[32, 9] Operation: 13-4=9 Exploring Operation: 32+4=36, Resulting Numbers: [13, 36] Generated Node #0,3,3: 35:[13, 36] Operation: 32+4=36 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 35:[32, 9], Operations: ['28-15=13', '13-4=9'] Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,35 unequal: No Solution Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,35 unequal: No Solution Exploring Operation: 329=288, Resulting Numbers: [288] 288,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 35:[13, 8], Operations: ['28-15=13', '32/4=8'] Exploring Operation: 13+8=21, Resulting Numbers: [21] 21,35 unequal: No Solution Exploring Operation: 13-8=5, Resulting Numbers: [5] 5,35 unequal: No Solution Exploring Operation: 138=104, Resulting Numbers: [104] 104,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 35:[13, 36], Operations: ['28-15=13', '32+4=36'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,35 unequal: No Solution Exploring Operation: 1336=468, Resulting Numbers: [468] 468,35 unequal: No Solution Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 35:[4, 45], Operations: ['28-15=13', '32+13=45'] Exploring Operation: 445=180, Resulting Numbers: [180] 180,35 unequal: No Solution Exploring Operation: 4+45=49, Resulting Numbers: [49] 49,35 unequal: No Solution Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 35:[32, 15, 7], Operations: ['28/4=7'] Exploring Operation: 32+7=39, Resulting Numbers: [15, 39] Generated Node #0,2,0: 35:[15, 39] Operation: 32+7=39 Exploring Operation: 15-7=8, Resulting Numbers: [32, 8] Generated Node #0,2,1: 35:[32, 8] Operation: 15-7=8 Exploring Operation: 32+15=47, Resulting Numbers: [7, 47] Generated Node #0,2,2: 35:[7, 47] Operation: 32+15=47 Exploring Operation: 32-15=17, Resulting Numbers: [7, 17] Generated Node #0,2,3: 35:[7, 17] Operation: 32-15=17 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 35:[32, 8], Operations: ['28/4=7', '15-7=8'] Exploring Operation: 32+8=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 32/8=4, Resulting Numbers: [4] 4,35 unequal: No Solution Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,35 unequal: No Solution Exploring Operation: 328=256, Resulting Numbers: [256] 256,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 35:[7, 17], Operations: ['28/4=7', '32-15=17'] Exploring Operation: 717=119, Resulting Numbers: [119] 119,35 unequal: No Solution Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,35 unequal: No Solution Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 35:[15, 39], Operations: ['28/4=7', '32+7=39'] Exploring Operation: 15+39=54, Resulting Numbers: [54] 54,35 unequal: No Solution Exploring Operation: 1539=585, Resulting Numbers: [585] 585,35 unequal: No Solution Exploring Operation: 39-15=24, Resulting Numbers: [24] 24,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 35:[7, 47], Operations: ['28/4=7', '32+15=47'] Exploring Operation: 7+47=54, Resulting Numbers: [54] 54,35 unequal: No Solution Exploring Operation: 47-7=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 747=329, Resulting Numbers: [329] 329,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 35:[32, 4, 43], Operations: ['15+28=43'] Exploring Operation: 32+4=36, Resulting Numbers: [43, 36] Generated Node #0,0,0: 35:[43, 36] Operation: 32+4=36 Exploring Operation: 43-32=11, Resulting Numbers: [4, 11] Generated Node #0,0,1: 35:[4, 11] Operation: 43-32=11 Exploring Operation: 43-4=39, Resulting Numbers: [32, 39] Generated Node #0,0,2: 35:[32, 39] Operation: 43-4=39 Exploring Operation: 32/4=8, Resulting Numbers: [43, 8] Generated Node #0,0,3: 35:[43, 8] Operation: 32/4=8 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 35:[4, 11], Operations: ['15+28=43', '43-32=11'] Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,35 unequal: No Solution Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 411=44, Resulting Numbers: [44] 44,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 35:[32, 39], Operations: ['15+28=43', '43-4=39'] Exploring Operation: 39-32=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 32+39=71, Resulting Numbers: [71] 71,35 unequal: No Solution Exploring Operation: 3239=1248, Resulting Numbers: [1248] 1248,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 35:[43, 36], Operations: ['15+28=43', '32+4=36'] Exploring Operation: 43+36=79, Resulting Numbers: [79] 79,35 unequal: No Solution Exploring Operation: 4336=1548, Resulting Numbers: [1548] 1548,35 unequal: No Solution Exploring Operation: 43-36=7, Resulting Numbers: [7] 7,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 35:[43, 8], Operations: ['15+28=43', '32/4=8'] Exploring Operation: 438=344, Resulting Numbers: [344] 344,35 unequal: No Solution Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[32, 15, 4, 28], Operations: [] Exploring Operation: 15+28=43, Resulting Numbers: [32, 4, 43] Generated Node #0,0: 35:[32, 4, 43] Operation: 15+28=43 Moving to Node #0,0 Current State: 35:[32, 4, 43], Operations: ['15+28=43'] Exploring Operation: 32/4=8, Resulting Numbers: [43, 8] Generated Node #0,0,3: 35:[43, 8] Operation: 32/4=8 Moving to Node #0,0,3 Current State: 35:[43, 8], Operations: ['15+28=43', '32/4=8'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Exit Sub Search at level 1	0.936632	hs_4	sum_heuristic
[ 7, 66, 57, 99 ]	96	[ "7+57=64", "99*64=6336", "6336/66=96" ]	Current State: 96:[7, 66, 57, 99], Operations: [] Exploring Operation: 7+57=64, Resulting Numbers: [66, 99, 64] Generated Node #2: [66, 99, 64] from Operation: 7+57=64 Current State: 96:[66, 99, 64], Operations: ['7+57=64'] Exploring Operation: 9964=6336, Resulting Numbers: [66, 6336] Generated Node #3: [66, 6336] from Operation: 9964=6336 Current State: 96:[66, 6336], Operations: ['7+57=64', '99*64=6336'] Exploring Operation: 6336/66=96, Resulting Numbers: [96] 96,96 equal: Goal Reached	4	Current State: 96:[7, 66, 57, 99], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [7, 99, 9] Generated Node #0,0: 96:[7, 99, 9] Operation: 66-57=9 Exploring Operation: 57-7=50, Resulting Numbers: [66, 99, 50] Generated Node #0,1: 96:[66, 99, 50] Operation: 57-7=50 Exploring Operation: 66-7=59, Resulting Numbers: [57, 99, 59] Generated Node #0,2: 96:[57, 99, 59] Operation: 66-7=59 Exploring Operation: 99-66=33, Resulting Numbers: [7, 57, 33] Generated Node #0,3: 96:[7, 57, 33] Operation: 99-66=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[7, 99, 9], Operations: ['66-57=9'] Exploring Operation: 99/9=11, Resulting Numbers: [7, 11] Generated Node #0,0,0: 96:[7, 11] Operation: 99/9=11 Exploring Operation: 99-7=92, Resulting Numbers: [9, 92] Generated Node #0,0,1: 96:[9, 92] Operation: 99-7=92 Exploring Operation: 9-7=2, Resulting Numbers: [99, 2] Generated Node #0,0,2: 96:[99, 2] Operation: 9-7=2 Exploring Operation: 7+9=16, Resulting Numbers: [99, 16] Generated Node #0,0,3: 96:[99, 16] Operation: 7+9=16 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 96:[7, 11], Operations: ['66-57=9', '99/9=11'] Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,96 unequal: No Solution Exploring Operation: 711=77, Resulting Numbers: [77] 77,96 unequal: No Solution Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 96:[99, 2], Operations: ['66-57=9', '9-7=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,96 unequal: No Solution Exploring Operation: 99+2=101, Resulting Numbers: [101] 101,96 unequal: No Solution Exploring Operation: 992=198, Resulting Numbers: [198] 198,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 96:[99, 16], Operations: ['66-57=9', '7+9=16'] Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,96 unequal: No Solution Exploring Operation: 99+16=115, Resulting Numbers: [115] 115,96 unequal: No Solution Exploring Operation: 9916=1584, Resulting Numbers: [1584] 1584,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 96:[9, 92], Operations: ['66-57=9', '99-7=92'] Exploring Operation: 92-9=83, Resulting Numbers: [83] 83,96 unequal: No Solution Exploring Operation: 992=828, Resulting Numbers: [828] 828,96 unequal: No Solution Exploring Operation: 9+92=101, Resulting Numbers: [101] 101,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 96:[7, 57, 33], Operations: ['99-66=33'] Exploring Operation: 33-7=26, Resulting Numbers: [57, 26] Generated Node #0,3,0: 96:[57, 26] Operation: 33-7=26 Exploring Operation: 57-33=24, Resulting Numbers: [7, 24] Generated Node #0,3,1: 96:[7, 24] Operation: 57-33=24 Exploring Operation: 57-7=50, Resulting Numbers: [33, 50] Generated Node #0,3,2: 96:[33, 50] Operation: 57-7=50 Exploring Operation: 57+33=90, Resulting Numbers: [7, 90] Generated Node #0,3,3: 96:[7, 90] Operation: 57+33=90 Moving to Node #0,3,1 Current State: 96:[7, 24], Operations: ['99-66=33', '57-33=24'] Exploring Operation: 24-7=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 7+24=31, Resulting Numbers: [31] 31,96 unequal: No Solution Exploring Operation: 724=168, Resulting Numbers: [168] 168,96 unequal: No Solution Moving to Node #0,3,2 Current State: 96:[33, 50], Operations: ['99-66=33', '57-7=50'] Exploring Operation: 33+50=83, Resulting Numbers: [83] 83,96 unequal: No Solution Exploring Operation: 3350=1650, Resulting Numbers: [1650] 1650,96 unequal: No Solution Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,96 unequal: No Solution Moving to Node #0,3,3 Current State: 96:[7, 90], Operations: ['99-66=33', '57+33=90'] Exploring Operation: 7+90=97, Resulting Numbers: [97] 97,96 unequal: No Solution Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,96 unequal: No Solution Exploring Operation: 790=630, Resulting Numbers: [630] 630,96 unequal: No Solution Moving to Node #0,3,0 Current State: 96:[57, 26], Operations: ['99-66=33', '33-7=26'] Exploring Operation: 5726=1482, Resulting Numbers: [1482] 1482,96 unequal: No Solution Exploring Operation: 57+26=83, Resulting Numbers: [83] 83,96 unequal: No Solution Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 96:[66, 99, 50], Operations: ['57-7=50'] Exploring Operation: 66+50=116, Resulting Numbers: [99, 116] Generated Node #0,1,0: 96:[99, 116] Operation: 66+50=116 Exploring Operation: 99-66=33, Resulting Numbers: [50, 33] Generated Node #0,1,1: 96:[50, 33] Operation: 99-66=33 Exploring Operation: 66-50=16, Resulting Numbers: [99, 16] Generated Node #0,1,2: 96:[99, 16] Operation: 66-50=16 Exploring Operation: 99-50=49, Resulting Numbers: [66, 49] Generated Node #0,1,3: 96:[66, 49] Operation: 99-50=49 Moving to Node #0,1,1 Current State: 96:[50, 33], Operations: ['57-7=50', '99-66=33'] Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 5033=1650, Resulting Numbers: [1650] 1650,96 unequal: No Solution Exploring Operation: 50+33=83, Resulting Numbers: [83] 83,96 unequal: No Solution Moving to Node #0,1,2 Current State: 96:[99, 16], Operations: ['57-7=50', '66-50=16'] Exploring Operation: 99+16=115, Resulting Numbers: [115] 115,96 unequal: No Solution Exploring Operation: 9916=1584, Resulting Numbers: [1584] 1584,96 unequal: No Solution Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,96 unequal: No Solution Moving to Node #0,1,3 Current State: 96:[66, 49], Operations: ['57-7=50', '99-50=49'] Exploring Operation: 66-49=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 6649=3234, Resulting Numbers: [3234] 3234,96 unequal: No Solution Exploring Operation: 66+49=115, Resulting Numbers: [115] 115,96 unequal: No Solution Moving to Node #0,1,0 Current State: 96:[99, 116], Operations: ['57-7=50', '66+50=116'] Exploring Operation: 116-99=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 99+116=215, Resulting Numbers: [215] 215,96 unequal: No Solution Exploring Operation: 99116=11484, Resulting Numbers: [11484] 11484,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 96:[57, 99, 59], Operations: ['66-7=59'] Exploring Operation: 57+59=116, Resulting Numbers: [99, 116] Generated Node #0,2,0: 96:[99, 116] Operation: 57+59=116 Exploring Operation: 59-57=2, Resulting Numbers: [99, 2] Generated Node #0,2,1: 96:[99, 2] Operation: 59-57=2 Exploring Operation: 99-57=42, Resulting Numbers: [59, 42] Generated Node #0,2,2: 96:[59, 42] Operation: 99-57=42 Exploring Operation: 99-59=40, Resulting Numbers: [57, 40] Generated Node #0,2,3: 96:[57, 40] Operation: 99-59=40 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 96:[99, 2], Operations: ['66-7=59', '59-57=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,96 unequal: No Solution Exploring Operation: 992=198, Resulting Numbers: [198] 198,96 unequal: No Solution Exploring Operation: 99+2=101, Resulting Numbers: [101] 101,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 96:[59, 42], Operations: ['66-7=59', '99-57=42'] Exploring Operation: 59+42=101, Resulting Numbers: [101] 101,96 unequal: No Solution Exploring Operation: 5942=2478, Resulting Numbers: [2478] 2478,96 unequal: No Solution Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 96:[57, 40], Operations: ['66-7=59', '99-59=40'] Exploring Operation: 57+40=97, Resulting Numbers: [97] 97,96 unequal: No Solution Exploring Operation: 5740=2280, Resulting Numbers: [2280] 2280,96 unequal: No Solution Exploring Operation: 57-40=17, Resulting Numbers: [17] 17,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 96:[99, 116], Operations: ['66-7=59', '57+59=116'] Exploring Operation: 116-99=17, Resulting Numbers: [17] 17,96 unequal: No Solution Exploring Operation: 99+116=215, Resulting Numbers: [215] 215,96 unequal: No Solution Exploring Operation: 99116=11484, Resulting Numbers: [11484] 11484,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 46, 3, 30, 36 ]	23	[ "46*3=138", "36-30=6", "138/6=23" ]	Current State: 23:[46, 3, 30, 36], Operations: [] Exploring Operation: 463=138, Resulting Numbers: [30, 36, 138] Generated Node #2: [30, 36, 138] from Operation: 463=138 Current State: 23:[30, 36, 138], Operations: ['463=138'] Exploring Operation: 36-30=6, Resulting Numbers: [138, 6] Generated Node #3: [138, 6] from Operation: 36-30=6 Current State: 23:[138, 6], Operations: ['463=138', '36-30=6'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[46, 3, 30, 36], Operations: [] Exploring Operation: 46-36=10, Resulting Numbers: [3, 30, 10] Generated Node #0,0: 23:[3, 30, 10] Operation: 46-36=10 Exploring Operation: 46-30=16, Resulting Numbers: [3, 36, 16] Generated Node #0,1: 23:[3, 36, 16] Operation: 46-30=16 Exploring Operation: 46-3=43, Resulting Numbers: [30, 36, 43] Generated Node #0,2: 23:[30, 36, 43] Operation: 46-3=43 Exploring Operation: 30-3=27, Resulting Numbers: [46, 36, 27] Generated Node #0,3: 23:[46, 36, 27] Operation: 30-3=27 Exploring Operation: 36-3=33, Resulting Numbers: [46, 30, 33] Generated Node #0,4: 23:[46, 30, 33] Operation: 36-3=33 Moving to Node #0,0 Current State: 23:[3, 30, 10], Operations: ['46-36=10'] Exploring Operation: 310=30, Resulting Numbers: [30, 30] Generated Node #0,0,0: 23:[30, 30] Operation: 310=30 Exploring Operation: 3+30=33, Resulting Numbers: [10, 33] Generated Node #0,0,1: 23:[10, 33] Operation: 3+30=33 Exploring Operation: 10-3=7, Resulting Numbers: [30, 7] Generated Node #0,0,2: 23:[30, 7] Operation: 10-3=7 Exploring Operation: 3+10=13, Resulting Numbers: [30, 13] Generated Node #0,0,3: 23:[30, 13] Operation: 3+10=13 Exploring Operation: 30-3=27, Resulting Numbers: [10, 27] Generated Node #0,0,4: 23:[10, 27] Operation: 30-3=27 Moving to Node #0,2 Current State: 23:[30, 36, 43], Operations: ['46-3=43'] Exploring Operation: 30+36=66, Resulting Numbers: [43, 66] Generated Node #0,2,0: 23:[43, 66] Operation: 30+36=66 Exploring Operation: 30+43=73, Resulting Numbers: [36, 73] Generated Node #0,2,1: 23:[36, 73] Operation: 30+43=73 Exploring Operation: 36-30=6, Resulting Numbers: [43, 6] Generated Node #0,2,2: 23:[43, 6] Operation: 36-30=6 Exploring Operation: 43-36=7, Resulting Numbers: [30, 7] Generated Node #0,2,3: 23:[30, 7] Operation: 43-36=7 Exploring Operation: 43-30=13, Resulting Numbers: [36, 13] Generated Node #0,2,4: 23:[36, 13] Operation: 43-30=13 Moving to Node #0,4 Current State: 23:[46, 30, 33], Operations: ['36-3=33'] Exploring Operation: 46+30=76, Resulting Numbers: [33, 76] Generated Node #0,4,0: 23:[33, 76] Operation: 46+30=76 Exploring Operation: 33-30=3, Resulting Numbers: [46, 3] Generated Node #0,4,1: 23:[46, 3] Operation: 33-30=3 Exploring Operation: 46+33=79, Resulting Numbers: [30, 79] Generated Node #0,4,2: 23:[30, 79] Operation: 46+33=79 Exploring Operation: 46-33=13, Resulting Numbers: [30, 13] Generated Node #0,4,3: 23:[30, 13] Operation: 46-33=13 Exploring Operation: 46-30=16, Resulting Numbers: [33, 16] Generated Node #0,4,4: 23:[33, 16] Operation: 46-30=16 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 23:[30, 13], Operations: ['36-3=33', '46-33=13'] Exploring Operation: 3013=390, Resulting Numbers: [390] 390,23 unequal: No Solution Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,23 unequal: No Solution Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 23:[33, 16], Operations: ['36-3=33', '46-30=16'] Exploring Operation: 3316=528, Resulting Numbers: [528] 528,23 unequal: No Solution Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,23 unequal: No Solution Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 23:[46, 3], Operations: ['36-3=33', '33-30=3'] Exploring Operation: 463=138, Resulting Numbers: [138] 138,23 unequal: No Solution Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 23:[33, 76], Operations: ['36-3=33', '46+30=76'] Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,23 unequal: No Solution Exploring Operation: 3376=2508, Resulting Numbers: [2508] 2508,23 unequal: No Solution Exploring Operation: 33+76=109, Resulting Numbers: [109] 109,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 23:[30, 79], Operations: ['36-3=33', '46+33=79'] Exploring Operation: 3079=2370, Resulting Numbers: [2370] 2370,23 unequal: No Solution Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,23 unequal: No Solution Exploring Operation: 30+79=109, Resulting Numbers: [109] 109,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 23:[3, 36, 16], Operations: ['46-30=16'] Exploring Operation: 3+16=19, Resulting Numbers: [36, 19] Generated Node #0,1,0: 23:[36, 19] Operation: 3+16=19 Exploring Operation: 36-3=33, Resulting Numbers: [16, 33] Generated Node #0,1,1: 23:[16, 33] Operation: 36-3=33 Exploring Operation: 16-3=13, Resulting Numbers: [36, 13] Generated Node #0,1,2: 23:[36, 13] Operation: 16-3=13 Exploring Operation: 36/3=12, Resulting Numbers: [16, 12] Generated Node #0,1,3: 23:[16, 12] Operation: 36/3=12 Exploring Operation: 3+36=39, Resulting Numbers: [16, 39] Generated Node #0,1,4: 23:[16, 39] Operation: 3+36=39 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 23:[36, 19], Operations: ['46-30=16', '3+16=19'] Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,23 unequal: No Solution Exploring Operation: 36+19=55, Resulting Numbers: [55] 55,23 unequal: No Solution Exploring Operation: 3619=684, Resulting Numbers: [684] 684,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 23:[16, 33], Operations: ['46-30=16', '36-3=33'] Exploring Operation: 16+33=49, Resulting Numbers: [49] 49,23 unequal: No Solution Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,23 unequal: No Solution Exploring Operation: 1633=528, Resulting Numbers: [528] 528,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 23:[16, 12], Operations: ['46-30=16', '36/3=12'] Exploring Operation: 1612=192, Resulting Numbers: [192] 192,23 unequal: No Solution Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,23 unequal: No Solution Exploring Operation: 16+12=28, Resulting Numbers: [28] 28,23 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 23:[36, 13], Operations: ['46-30=16', '16-3=13'] Exploring Operation: 36+13=49, Resulting Numbers: [49] 49,23 unequal: No Solution Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[46, 3, 30, 36], Operations: [] Exploring Operation: 46-30=16, Resulting Numbers: [3, 36, 16] Generated Node #0,1: 23:[3, 36, 16] Operation: 46-30=16 Moving to Node #0,1 Current State: 23:[3, 36, 16], Operations: ['46-30=16'] Exploring Operation: 16-3=13, Resulting Numbers: [36, 13] Generated Node #0,1,2: 23:[36, 13] Operation: 16-3=13 Moving to Node #0,1,2 Current State: 23:[36, 13], Operations: ['46-30=16', '16-3=13'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Exit Sub Search at level 1	0.952257	hs_5	sum_heuristic
[ 38, 35, 7, 63 ]	64	[ "38+35=73", "63/7=9", "73-9=64" ]	Current State: 64:[38, 35, 7, 63], Operations: [] Exploring Operation: 38+35=73, Resulting Numbers: [7, 63, 73] Generated Node #2: [7, 63, 73] from Operation: 38+35=73 Current State: 64:[7, 63, 73], Operations: ['38+35=73'] Exploring Operation: 63/7=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 63/7=9 Current State: 64:[73, 9], Operations: ['38+35=73', '63/7=9'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[38, 35, 7, 63], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [7, 63, 3] Generated Node #0,0: 64:[7, 63, 3] Operation: 38-35=3 Moving to Node #0,0 Current State: 64:[7, 63, 3], Operations: ['38-35=3'] Exploring Operation: 7-3=4, Resulting Numbers: [63, 4] Generated Node #0,0,0: 64:[63, 4] Operation: 7-3=4 Moving to Node #0,0,0 Current State: 64:[63, 4], Operations: ['38-35=3', '7-3=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,64 unequal: No Solution No solution found.	0	hs_1	sum_heuristic
[ 47, 40, 43, 1 ]	45	[ "47+40=87", "43-1=42", "87-42=45" ]	Current State: 45:[47, 40, 43, 1], Operations: [] Exploring Operation: 47+40=87, Resulting Numbers: [43, 1, 87] Generated Node #2: [43, 1, 87] from Operation: 47+40=87 Current State: 45:[43, 1, 87], Operations: ['47+40=87'] Exploring Operation: 43-1=42, Resulting Numbers: [87, 42] Generated Node #3: [87, 42] from Operation: 43-1=42 Current State: 45:[87, 42], Operations: ['47+40=87', '43-1=42'] Exploring Operation: 87-42=45, Resulting Numbers: [45] 45,45 equal: Goal Reached	4	Current State: 45:[47, 40, 43, 1], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [47, 1, 3] Generated Node #0,0: 45:[47, 1, 3] Operation: 43-40=3 Moving to Node #0,0 Current State: 45:[47, 1, 3], Operations: ['43-40=3'] Exploring Operation: 47-1=46, Resulting Numbers: [3, 46] Generated Node #0,0,0: 45:[3, 46] Operation: 47-1=46 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 45:[3, 46], Operations: ['43-40=3', '47-1=46'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,45 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 82, 73, 77, 44 ]	71	[ "77-73=4", "44/4=11", "82-11=71" ]	Current State: 71:[82, 73, 77, 44], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [82, 44, 4] Generated Node #2: [82, 44, 4] from Operation: 77-73=4 Current State: 71:[82, 44, 4], Operations: ['77-73=4'] Exploring Operation: 44/4=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 44/4=11 Current State: 71:[82, 11], Operations: ['77-73=4', '44/4=11'] Exploring Operation: 82-11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached	4	Current State: 71:[82, 73, 77, 44], Operations: [] Exploring Operation: 82-44=38, Resulting Numbers: [73, 77, 38] Generated Node #0,0: 71:[73, 77, 38] Operation: 82-44=38 Moving to Node #0,0 Current State: 71:[73, 77, 38], Operations: ['82-44=38'] Exploring Operation: 77-38=39, Resulting Numbers: [73, 39] Generated Node #0,0,0: 71:[73, 39] Operation: 77-38=39 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 71:[73, 39], Operations: ['82-44=38', '77-38=39'] Exploring Operation: 73-39=34, Resulting Numbers: [34] 34,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 76, 52, 28, 95 ]	91	[ "76-52=24", "95-28=67", "24+67=91" ]	Current State: 91:[76, 52, 28, 95], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [28, 95, 24] Generated Node #2: [28, 95, 24] from Operation: 76-52=24 Current State: 91:[28, 95, 24], Operations: ['76-52=24'] Exploring Operation: 95-28=67, Resulting Numbers: [24, 67] Generated Node #3: [24, 67] from Operation: 95-28=67 Current State: 91:[24, 67], Operations: ['76-52=24', '95-28=67'] Exploring Operation: 24+67=91, Resulting Numbers: [91] 91,91 equal: Goal Reached	4	Current State: 91:[76, 52, 28, 95], Operations: [] Exploring Operation: 52-28=24, Resulting Numbers: [76, 95, 24] Generated Node #0,0: 91:[76, 95, 24] Operation: 52-28=24 Exploring Operation: 76+52=128, Resulting Numbers: [28, 95, 128] Generated Node #0,1: 91:[28, 95, 128] Operation: 76+52=128 Exploring Operation: 52+28=80, Resulting Numbers: [76, 95, 80] Generated Node #0,2: 91:[76, 95, 80] Operation: 52+28=80 Exploring Operation: 76-52=24, Resulting Numbers: [28, 95, 24] Generated Node #0,3: 91:[28, 95, 24] Operation: 76-52=24 Exploring Operation: 76+28=104, Resulting Numbers: [52, 95, 104] Generated Node #0,4: 91:[52, 95, 104] Operation: 76+28=104 Moving to Node #0,0 Current State: 91:[76, 95, 24], Operations: ['52-28=24'] Exploring Operation: 76-24=52, Resulting Numbers: [95, 52] Generated Node #0,0,0: 91:[95, 52] Operation: 76-24=52 Exploring Operation: 95-76=19, Resulting Numbers: [24, 19] Generated Node #0,0,1: 91:[24, 19] Operation: 95-76=19 Exploring Operation: 95-24=71, Resulting Numbers: [76, 71] Generated Node #0,0,2: 91:[76, 71] Operation: 95-24=71 Exploring Operation: 95+24=119, Resulting Numbers: [76, 119] Generated Node #0,0,3: 91:[76, 119] Operation: 95+24=119 Exploring Operation: 76+24=100, Resulting Numbers: [95, 100] Generated Node #0,0,4: 91:[95, 100] Operation: 76+24=100 Moving to Node #0,3 Current State: 91:[28, 95, 24], Operations: ['76-52=24'] Exploring Operation: 28+24=52, Resulting Numbers: [95, 52] Generated Node #0,3,0: 91:[95, 52] Operation: 28+24=52 Exploring Operation: 28-24=4, Resulting Numbers: [95, 4] Generated Node #0,3,1: 91:[95, 4] Operation: 28-24=4 Exploring Operation: 95-24=71, Resulting Numbers: [28, 71] Generated Node #0,3,2: 91:[28, 71] Operation: 95-24=71 Exploring Operation: 28+95=123, Resulting Numbers: [24, 123] Generated Node #0,3,3: 91:[24, 123] Operation: 28+95=123 Exploring Operation: 95-28=67, Resulting Numbers: [24, 67] Generated Node #0,3,4: 91:[24, 67] Operation: 95-28=67 Moving to Node #0,2 Current State: 91:[76, 95, 80], Operations: ['52+28=80'] Exploring Operation: 95-76=19, Resulting Numbers: [80, 19] Generated Node #0,2,0: 91:[80, 19] Operation: 95-76=19 Exploring Operation: 76+80=156, Resulting Numbers: [95, 156] Generated Node #0,2,1: 91:[95, 156] Operation: 76+80=156 Exploring Operation: 80-76=4, Resulting Numbers: [95, 4] Generated Node #0,2,2: 91:[95, 4] Operation: 80-76=4 Exploring Operation: 76+95=171, Resulting Numbers: [80, 171] Generated Node #0,2,3: 91:[80, 171] Operation: 76+95=171 Exploring Operation: 95-80=15, Resulting Numbers: [76, 15] Generated Node #0,2,4: 91:[76, 15] Operation: 95-80=15 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 91:[95, 4], Operations: ['52+28=80', '80-76=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,91 unequal: No Solution Exploring Operation: 95*4=380, Resulting Numbers: [380] 380,91 unequal: No Solution Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[76, 52, 28, 95], Operations: [] Exploring Operation: 52+28=80, Resulting Numbers: [76, 95, 80] Generated Node #0,2: 91:[76, 95, 80] Operation: 52+28=80 Moving to Node #0,2 Current State: 91:[76, 95, 80], Operations: ['52+28=80'] Exploring Operation: 80-76=4, Resulting Numbers: [95, 4] Generated Node #0,2,2: 91:[95, 4] Operation: 80-76=4 Moving to Node #0,2,2 Current State: 91:[95, 4], Operations: ['52+28=80', '80-76=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 1	0.976563	hs_5	sum_heuristic
[ 41, 9, 45, 26 ]	21	[ "41+9=50", "45+26=71", "71-50=21" ]	Current State: 21:[41, 9, 45, 26], Operations: [] Exploring Operation: 41+9=50, Resulting Numbers: [45, 26, 50] Generated Node #2: [45, 26, 50] from Operation: 41+9=50 Current State: 21:[45, 26, 50], Operations: ['41+9=50'] Exploring Operation: 45+26=71, Resulting Numbers: [50, 71] Generated Node #3: [50, 71] from Operation: 45+26=71 Current State: 21:[50, 71], Operations: ['41+9=50', '45+26=71'] Exploring Operation: 71-50=21, Resulting Numbers: [21] 21,21 equal: Goal Reached	4	Current State: 21:[41, 9, 45, 26], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [41, 26, 5] Generated Node #0,0: 21:[41, 26, 5] Operation: 45/9=5 Exploring Operation: 45-26=19, Resulting Numbers: [41, 9, 19] Generated Node #0,1: 21:[41, 9, 19] Operation: 45-26=19 Exploring Operation: 45-41=4, Resulting Numbers: [9, 26, 4] Generated Node #0,2: 21:[9, 26, 4] Operation: 45-41=4 Start Sub Search at level 1: Moving to Node #0,2 Current State: 21:[9, 26, 4], Operations: ['45-41=4'] Exploring Operation: 26-9=17, Resulting Numbers: [4, 17] Generated Node #0,2,0: 21:[4, 17] Operation: 26-9=17 Exploring Operation: 9-4=5, Resulting Numbers: [26, 5] Generated Node #0,2,1: 21:[26, 5] Operation: 9-4=5 Exploring Operation: 26-4=22, Resulting Numbers: [9, 22] Generated Node #0,2,2: 21:[9, 22] Operation: 26-4=22 Moving to Node #0,2,2 Current State: 21:[9, 22], Operations: ['45-41=4', '26-4=22'] Exploring Operation: 922=198, Resulting Numbers: [198] 198,21 unequal: No Solution Exploring Operation: 9+22=31, Resulting Numbers: [31] 31,21 unequal: No Solution Exploring Operation: 22-9=13, Resulting Numbers: [13] 13,21 unequal: No Solution Moving to Node #0,2,0 Current State: 21:[4, 17], Operations: ['45-41=4', '26-9=17'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,21 unequal: No Solution Exploring Operation: 417=68, Resulting Numbers: [68] 68,21 unequal: No Solution Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[41, 9, 45, 26], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [9, 26, 4] Generated Node #0,2: 21:[9, 26, 4] Operation: 45-41=4 Moving to Node #0,2 Current State: 21:[9, 26, 4], Operations: ['45-41=4'] Exploring Operation: 26-9=17, Resulting Numbers: [4, 17] Generated Node #0,2,0: 21:[4, 17] Operation: 26-9=17 Moving to Node #0,2,0 Current State: 21:[4, 17], Operations: ['45-41=4', '26-9=17'] Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1	0.986111	hs_3	mult_heuristic
[ 5, 48, 13, 26 ]	58	[ "5*26=130", "130/13=10", "48+10=58" ]	Current State: 58:[5, 48, 13, 26], Operations: [] Exploring Operation: 526=130, Resulting Numbers: [48, 13, 130] Generated Node #2: [48, 13, 130] from Operation: 526=130 Current State: 58:[48, 13, 130], Operations: ['526=130'] Exploring Operation: 130/13=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 130/13=10 Current State: 58:[48, 10], Operations: ['526=130', '130/13=10'] Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached	4	Current State: 58:[5, 48, 13, 26], Operations: [] Exploring Operation: 48+13=61, Resulting Numbers: [5, 26, 61] Generated Node #0,0: 58:[5, 26, 61] Operation: 48+13=61 Moving to Node #0,0 Current State: 58:[5, 26, 61], Operations: ['48+13=61'] Exploring Operation: 5+26=31, Resulting Numbers: [61, 31] Generated Node #0,0,0: 58:[61, 31] Operation: 5+26=31 Moving to Node #0,0,0 Current State: 58:[61, 31], Operations: ['48+13=61', '5+26=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,58 unequal: No Solution No solution found.	0	hs_1	mult_heuristic
[ 5, 58, 55, 55 ]	80	[ "55+55=110", "110/5=22", "58+22=80" ]	Current State: 80:[5, 58, 55, 55], Operations: [] Exploring Operation: 55+55=110, Resulting Numbers: [5, 58, 110] Generated Node #2: [5, 58, 110] from Operation: 55+55=110 Current State: 80:[5, 58, 110], Operations: ['55+55=110'] Exploring Operation: 110/5=22, Resulting Numbers: [58, 22] Generated Node #3: [58, 22] from Operation: 110/5=22 Current State: 80:[58, 22], Operations: ['55+55=110', '110/5=22'] Exploring Operation: 58+22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached	4	Current State: 80:[5, 58, 55, 55], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [5, 55, 3] Generated Node #0,0: 80:[5, 55, 3] Operation: 58-55=3 Exploring Operation: 58-55=3, Resulting Numbers: [5, 55, 3] Generated Node #0,1: 80:[5, 55, 3] Operation: 58-55=3 Exploring Operation: 55/55=1, Resulting Numbers: [5, 58, 1] Generated Node #0,2: 80:[5, 58, 1] Operation: 55/55=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 80:[5, 55, 3], Operations: ['58-55=3'] Exploring Operation: 55-3=52, Resulting Numbers: [5, 52] Generated Node #0,0,0: 80:[5, 52] Operation: 55-3=52 Exploring Operation: 55/5=11, Resulting Numbers: [3, 11] Generated Node #0,0,1: 80:[3, 11] Operation: 55/5=11 Exploring Operation: 55-5=50, Resulting Numbers: [3, 50] Generated Node #0,0,2: 80:[3, 50] Operation: 55-5=50 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 80:[3, 11], Operations: ['58-55=3', '55/5=11'] Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 311=33, Resulting Numbers: [33] 33,80 unequal: No Solution Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 80:[3, 50], Operations: ['58-55=3', '55-5=50'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 350=150, Resulting Numbers: [150] 150,80 unequal: No Solution Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 80:[5, 52], Operations: ['58-55=3', '55-3=52'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 552=260, Resulting Numbers: [260] 260,80 unequal: No Solution Exploring Operation: 5+52=57, Resulting Numbers: [57] 57,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[5, 55, 3], Operations: ['58-55=3'] Exploring Operation: 55/5=11, Resulting Numbers: [3, 11] Generated Node #0,1,0: 80:[3, 11] Operation: 55/5=11 Exploring Operation: 55-5=50, Resulting Numbers: [3, 50] Generated Node #0,1,1: 80:[3, 50] Operation: 55-5=50 Exploring Operation: 55-3=52, Resulting Numbers: [5, 52] Generated Node #0,1,2: 80:[5, 52] Operation: 55-3=52 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 80:[3, 11], Operations: ['58-55=3', '55/5=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,80 unequal: No Solution Exploring Operation: 311=33, Resulting Numbers: [33] 33,80 unequal: No Solution Exploring Operation: 11-3=8, Resulting Numbers: [8] 8,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 80:[3, 50], Operations: ['58-55=3', '55-5=50'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 3+50=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 350=150, Resulting Numbers: [150] 150,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 80:[5, 52], Operations: ['58-55=3', '55-3=52'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,80 unequal: No Solution Exploring Operation: 5+52=57, Resulting Numbers: [57] 57,80 unequal: No Solution Exploring Operation: 552=260, Resulting Numbers: [260] 260,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 80:[5, 58, 1], Operations: ['55/55=1'] Exploring Operation: 5+58=63, Resulting Numbers: [1, 63] Generated Node #0,2,0: 80:[1, 63] Operation: 5+58=63 Exploring Operation: 58-1=57, Resulting Numbers: [5, 57] Generated Node #0,2,1: 80:[5, 57] Operation: 58-1=57 Exploring Operation: 58-5=53, Resulting Numbers: [1, 53] Generated Node #0,2,2: 80:[1, 53] Operation: 58-5=53 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 80:[1, 53], Operations: ['55/55=1', '58-5=53'] Exploring Operation: 53/1=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 153=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 80:[5, 57], Operations: ['55/55=1', '58-1=57'] Exploring Operation: 557=285, Resulting Numbers: [285] 285,80 unequal: No Solution Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,80 unequal: No Solution Exploring Operation: 5+57=62, Resulting Numbers: [62] 62,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 80:[1, 63], Operations: ['55/55=1', '5+58=63'] Exploring Operation: 63/1=63, Resulting Numbers: [63] 63,80 unequal: No Solution Exploring Operation: 1+63=64, Resulting Numbers: [64] 64,80 unequal: No Solution Exploring Operation: 1*63=63, Resulting Numbers: [63] 63,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 82, 3, 68, 1 ]	48	[ "3-1=2", "68/2=34", "82-34=48" ]	Current State: 48:[82, 3, 68, 1], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [82, 68, 2] Generated Node #2: [82, 68, 2] from Operation: 3-1=2 Current State: 48:[82, 68, 2], Operations: ['3-1=2'] Exploring Operation: 68/2=34, Resulting Numbers: [82, 34] Generated Node #3: [82, 34] from Operation: 68/2=34 Current State: 48:[82, 34], Operations: ['3-1=2', '68/2=34'] Exploring Operation: 82-34=48, Resulting Numbers: [48] 48,48 equal: Goal Reached	4	Current State: 48:[82, 3, 68, 1], Operations: [] Exploring Operation: 82-3=79, Resulting Numbers: [68, 1, 79] Generated Node #0,0: 48:[68, 1, 79] Operation: 82-3=79 Exploring Operation: 82-68=14, Resulting Numbers: [3, 1, 14] Generated Node #0,1: 48:[3, 1, 14] Operation: 82-68=14 Start Sub Search at level 1: Moving to Node #0,1 Current State: 48:[3, 1, 14], Operations: ['82-68=14'] Exploring Operation: 1+14=15, Resulting Numbers: [3, 15] Generated Node #0,1,0: 48:[3, 15] Operation: 1+14=15 Exploring Operation: 14-1=13, Resulting Numbers: [3, 13] Generated Node #0,1,1: 48:[3, 13] Operation: 14-1=13 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 48:[3, 15], Operations: ['82-68=14', '1+14=15'] Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,48 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 48:[3, 13], Operations: ['82-68=14', '14-1=13'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,48 unequal: No Solution Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 48:[68, 1, 79], Operations: ['82-3=79'] Exploring Operation: 68-1=67, Resulting Numbers: [79, 67] Generated Node #0,0,0: 48:[79, 67] Operation: 68-1=67 Exploring Operation: 79-68=11, Resulting Numbers: [1, 11] Generated Node #0,0,1: 48:[1, 11] Operation: 79-68=11 Moving to Node #0,0,1 Current State: 48:[1, 11], Operations: ['82-3=79', '79-68=11'] Exploring Operation: 1+11=12, Resulting Numbers: [12] 12,48 unequal: No Solution Exploring Operation: 1*11=11, Resulting Numbers: [11] 11,48 unequal: No Solution Moving to Node #0,0,0 Current State: 48:[79, 67], Operations: ['82-3=79', '68-1=67'] Exploring Operation: 79-67=12, Resulting Numbers: [12] 12,48 unequal: No Solution Exploring Operation: 79+67=146, Resulting Numbers: [146] 146,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 6, 29, 76, 30 ]	75	[ "6*30=180", "29+76=105", "180-105=75" ]	Current State: 75:[6, 29, 76, 30], Operations: [] Exploring Operation: 630=180, Resulting Numbers: [29, 76, 180] Generated Node #2: [29, 76, 180] from Operation: 630=180 Current State: 75:[29, 76, 180], Operations: ['630=180'] Exploring Operation: 29+76=105, Resulting Numbers: [180, 105] Generated Node #3: [180, 105] from Operation: 29+76=105 Current State: 75:[180, 105], Operations: ['630=180', '29+76=105'] Exploring Operation: 180-105=75, Resulting Numbers: [75] 75,75 equal: Goal Reached	4	Current State: 75:[6, 29, 76, 30], Operations: [] Exploring Operation: 30-29=1, Resulting Numbers: [6, 76, 1] Generated Node #0,0: 75:[6, 76, 1] Operation: 30-29=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[6, 76, 1], Operations: ['30-29=1'] Exploring Operation: 6-1=5, Resulting Numbers: [76, 5] Generated Node #0,0,0: 75:[76, 5] Operation: 6-1=5 Moving to Node #0,0,0 Current State: 75:[76, 5], Operations: ['30-29=1', '6-1=5'] Exploring Operation: 76-5=71, Resulting Numbers: [71] 71,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 50, 68, 10, 7 ]	33	[ "50/10=5", "7*5=35", "68-35=33" ]	Current State: 33:[50, 68, 10, 7], Operations: [] Exploring Operation: 50/10=5, Resulting Numbers: [68, 7, 5] Generated Node #2: [68, 7, 5] from Operation: 50/10=5 Current State: 33:[68, 7, 5], Operations: ['50/10=5'] Exploring Operation: 75=35, Resulting Numbers: [68, 35] Generated Node #3: [68, 35] from Operation: 75=35 Current State: 33:[68, 35], Operations: ['50/10=5', '7*5=35'] Exploring Operation: 68-35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached	4	Current State: 33:[50, 68, 10, 7], Operations: [] Exploring Operation: 50-10=40, Resulting Numbers: [68, 7, 40] Generated Node #0,0: 33:[68, 7, 40] Operation: 50-10=40 Exploring Operation: 50/10=5, Resulting Numbers: [68, 7, 5] Generated Node #0,1: 33:[68, 7, 5] Operation: 50/10=5 Exploring Operation: 68-50=18, Resulting Numbers: [10, 7, 18] Generated Node #0,2: 33:[10, 7, 18] Operation: 68-50=18 Moving to Node #0,2 Current State: 33:[10, 7, 18], Operations: ['68-50=18'] Exploring Operation: 10-7=3, Resulting Numbers: [18, 3] Generated Node #0,2,0: 33:[18, 3] Operation: 10-7=3 Exploring Operation: 18-10=8, Resulting Numbers: [7, 8] Generated Node #0,2,1: 33:[7, 8] Operation: 18-10=8 Exploring Operation: 18-7=11, Resulting Numbers: [10, 11] Generated Node #0,2,2: 33:[10, 11] Operation: 18-7=11 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 33:[10, 11], Operations: ['68-50=18', '18-7=11'] Exploring Operation: 1011=110, Resulting Numbers: [110] 110,33 unequal: No Solution Exploring Operation: 11-10=1, Resulting Numbers: [1] 1,33 unequal: No Solution Exploring Operation: 10+11=21, Resulting Numbers: [21] 21,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 33:[18, 3], Operations: ['68-50=18', '10-7=3'] Exploring Operation: 18/3=6, Resulting Numbers: [6] 6,33 unequal: No Solution Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,33 unequal: No Solution Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 33:[7, 8], Operations: ['68-50=18', '18-10=8'] Exploring Operation: 7+8=15, Resulting Numbers: [15] 15,33 unequal: No Solution Exploring Operation: 8-7=1, Resulting Numbers: [1] 1,33 unequal: No Solution Exploring Operation: 78=56, Resulting Numbers: [56] 56,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 33:[68, 7, 5], Operations: ['50/10=5'] Exploring Operation: 68-5=63, Resulting Numbers: [7, 63] Generated Node #0,1,0: 33:[7, 63] Operation: 68-5=63 Exploring Operation: 68-7=61, Resulting Numbers: [5, 61] Generated Node #0,1,1: 33:[5, 61] Operation: 68-7=61 Exploring Operation: 7+5=12, Resulting Numbers: [68, 12] Generated Node #0,1,2: 33:[68, 12] Operation: 7+5=12 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 33:[5, 61], Operations: ['50/10=5', '68-7=61'] Exploring Operation: 5+61=66, Resulting Numbers: [66] 66,33 unequal: No Solution Exploring Operation: 61-5=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 561=305, Resulting Numbers: [305] 305,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 33:[7, 63], Operations: ['50/10=5', '68-5=63'] Exploring Operation: 63/7=9, Resulting Numbers: [9] 9,33 unequal: No Solution Exploring Operation: 63-7=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 7+63=70, Resulting Numbers: [70] 70,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 33:[68, 12], Operations: ['50/10=5', '7+5=12'] Exploring Operation: 68-12=56, Resulting Numbers: [56] 56,33 unequal: No Solution Exploring Operation: 68+12=80, Resulting Numbers: [80] 80,33 unequal: No Solution Exploring Operation: 6812=816, Resulting Numbers: [816] 816,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 33:[68, 7, 40], Operations: ['50-10=40'] Exploring Operation: 68-40=28, Resulting Numbers: [7, 28] Generated Node #0,0,0: 33:[7, 28] Operation: 68-40=28 Exploring Operation: 68-7=61, Resulting Numbers: [40, 61] Generated Node #0,0,1: 33:[40, 61] Operation: 68-7=61 Exploring Operation: 40-7=33, Resulting Numbers: [68, 33] Generated Node #0,0,2: 33:[68, 33] Operation: 40-7=33 Moving to Node #0,0,0 Current State: 33:[7, 28], Operations: ['50-10=40', '68-40=28'] Exploring Operation: 7+28=35, Resulting Numbers: [35] 35,33 unequal: No Solution Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,33 unequal: No Solution Exploring Operation: 28/7=4, Resulting Numbers: [4] 4,33 unequal: No Solution Moving to Node #0,0,1 Current State: 33:[40, 61], Operations: ['50-10=40', '68-7=61'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,33 unequal: No Solution Exploring Operation: 40+61=101, Resulting Numbers: [101] 101,33 unequal: No Solution Exploring Operation: 4061=2440, Resulting Numbers: [2440] 2440,33 unequal: No Solution Moving to Node #0,0,2 Current State: 33:[68, 33], Operations: ['50-10=40', '40-7=33'] Exploring Operation: 68+33=101, Resulting Numbers: [101] 101,33 unequal: No Solution Exploring Operation: 6833=2244, Resulting Numbers: [2244] 2244,33 unequal: No Solution Exploring Operation: 68-33=35, Resulting Numbers: [35] 35,33 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 5, 30, 77, 33 ]	40	[ "5*30=150", "77+33=110", "150-110=40" ]	Current State: 40:[5, 30, 77, 33], Operations: [] Exploring Operation: 530=150, Resulting Numbers: [77, 33, 150] Generated Node #2: [77, 33, 150] from Operation: 530=150 Current State: 40:[77, 33, 150], Operations: ['530=150'] Exploring Operation: 77+33=110, Resulting Numbers: [150, 110] Generated Node #3: [150, 110] from Operation: 77+33=110 Current State: 40:[150, 110], Operations: ['530=150', '77+33=110'] Exploring Operation: 150-110=40, Resulting Numbers: [40] 40,40 equal: Goal Reached	4	Current State: 40:[5, 30, 77, 33], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [5, 77, 3] Generated Node #0,0: 40:[5, 77, 3] Operation: 33-30=3 Exploring Operation: 77-33=44, Resulting Numbers: [5, 30, 44] Generated Node #0,1: 40:[5, 30, 44] Operation: 77-33=44 Exploring Operation: 77-30=47, Resulting Numbers: [5, 33, 47] Generated Node #0,2: 40:[5, 33, 47] Operation: 77-30=47 Start Sub Search at level 1: Moving to Node #0,1 Current State: 40:[5, 30, 44], Operations: ['77-33=44'] Exploring Operation: 5+30=35, Resulting Numbers: [44, 35] Generated Node #0,1,0: 40:[44, 35] Operation: 5+30=35 Exploring Operation: 44-30=14, Resulting Numbers: [5, 14] Generated Node #0,1,1: 40:[5, 14] Operation: 44-30=14 Exploring Operation: 30/5=6, Resulting Numbers: [44, 6] Generated Node #0,1,2: 40:[44, 6] Operation: 30/5=6 Moving to Node #0,1,1 Current State: 40:[5, 14], Operations: ['77-33=44', '44-30=14'] Exploring Operation: 5+14=19, Resulting Numbers: [19] 19,40 unequal: No Solution Exploring Operation: 14-5=9, Resulting Numbers: [9] 9,40 unequal: No Solution Exploring Operation: 514=70, Resulting Numbers: [70] 70,40 unequal: No Solution Moving to Node #0,1,2 Current State: 40:[44, 6], Operations: ['77-33=44', '30/5=6'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,40 unequal: No Solution Exploring Operation: 446=264, Resulting Numbers: [264] 264,40 unequal: No Solution Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,40 unequal: No Solution Moving to Node #0,1,0 Current State: 40:[44, 35], Operations: ['77-33=44', '5+30=35'] Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,40 unequal: No Solution Exploring Operation: 44+35=79, Resulting Numbers: [79] 79,40 unequal: No Solution Exploring Operation: 4435=1540, Resulting Numbers: [1540] 1540,40 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 40:[5, 33, 47], Operations: ['77-30=47'] Exploring Operation: 47-5=42, Resulting Numbers: [33, 42] Generated Node #0,2,0: 40:[33, 42] Operation: 47-5=42 Exploring Operation: 5+33=38, Resulting Numbers: [47, 38] Generated Node #0,2,1: 40:[47, 38] Operation: 5+33=38 Exploring Operation: 47-33=14, Resulting Numbers: [5, 14] Generated Node #0,2,2: 40:[5, 14] Operation: 47-33=14 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 40:[5, 14], Operations: ['77-30=47', '47-33=14'] Exploring Operation: 514=70, Resulting Numbers: [70] 70,40 unequal: No Solution Exploring Operation: 14-5=9, Resulting Numbers: [9] 9,40 unequal: No Solution Exploring Operation: 5+14=19, Resulting Numbers: [19] 19,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 40:[33, 42], Operations: ['77-30=47', '47-5=42'] Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,40 unequal: No Solution Exploring Operation: 3342=1386, Resulting Numbers: [1386] 1386,40 unequal: No Solution Exploring Operation: 33+42=75, Resulting Numbers: [75] 75,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 40:[47, 38], Operations: ['77-30=47', '5+33=38'] Exploring Operation: 4738=1786, Resulting Numbers: [1786] 1786,40 unequal: No Solution Exploring Operation: 47-38=9, Resulting Numbers: [9] 9,40 unequal: No Solution Exploring Operation: 47+38=85, Resulting Numbers: [85] 85,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 40:[5, 77, 3], Operations: ['33-30=3'] Exploring Operation: 5+3=8, Resulting Numbers: [77, 8] Generated Node #0,0,0: 40:[77, 8] Operation: 5+3=8 Exploring Operation: 77-3=74, Resulting Numbers: [5, 74] Generated Node #0,0,1: 40:[5, 74] Operation: 77-3=74 Exploring Operation: 77-5=72, Resulting Numbers: [3, 72] Generated Node #0,0,2: 40:[3, 72] Operation: 77-5=72 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 40:[3, 72], Operations: ['33-30=3', '77-5=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,40 unequal: No Solution Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,40 unequal: No Solution Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 40:[5, 74], Operations: ['33-30=3', '77-3=74'] Exploring Operation: 5+74=79, Resulting Numbers: [79] 79,40 unequal: No Solution Exploring Operation: 574=370, Resulting Numbers: [370] 370,40 unequal: No Solution Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 40:[77, 8], Operations: ['33-30=3', '5+3=8'] Exploring Operation: 778=616, Resulting Numbers: [616] 616,40 unequal: No Solution Exploring Operation: 77+8=85, Resulting Numbers: [85] 85,40 unequal: No Solution Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,40 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	mult_heuristic
[ 96, 88, 10, 28 ]	46	[ "96-88=8", "10+28=38", "8+38=46" ]	Current State: 46:[96, 88, 10, 28], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [10, 28, 8] Generated Node #2: [10, 28, 8] from Operation: 96-88=8 Current State: 46:[10, 28, 8], Operations: ['96-88=8'] Exploring Operation: 10+28=38, Resulting Numbers: [8, 38] Generated Node #3: [8, 38] from Operation: 10+28=38 Current State: 46:[8, 38], Operations: ['96-88=8', '10+28=38'] Exploring Operation: 8+38=46, Resulting Numbers: [46] 46,46 equal: Goal Reached	4	Current State: 46:[96, 88, 10, 28], Operations: [] Exploring Operation: 88-28=60, Resulting Numbers: [96, 10, 60] Generated Node #0,0: 46:[96, 10, 60] Operation: 88-28=60 Exploring Operation: 96-88=8, Resulting Numbers: [10, 28, 8] Generated Node #0,1: 46:[10, 28, 8] Operation: 96-88=8 Exploring Operation: 96-28=68, Resulting Numbers: [88, 10, 68] Generated Node #0,2: 46:[88, 10, 68] Operation: 96-28=68 Exploring Operation: 96-10=86, Resulting Numbers: [88, 28, 86] Generated Node #0,3: 46:[88, 28, 86] Operation: 96-10=86 Start Sub Search at level 1: Moving to Node #0,1 Current State: 46:[10, 28, 8], Operations: ['96-88=8'] Exploring Operation: 10-8=2, Resulting Numbers: [28, 2] Generated Node #0,1,0: 46:[28, 2] Operation: 10-8=2 Exploring Operation: 28-10=18, Resulting Numbers: [8, 18] Generated Node #0,1,1: 46:[8, 18] Operation: 28-10=18 Exploring Operation: 28-8=20, Resulting Numbers: [10, 20] Generated Node #0,1,2: 46:[10, 20] Operation: 28-8=20 Exploring Operation: 10+8=18, Resulting Numbers: [28, 18] Generated Node #0,1,3: 46:[28, 18] Operation: 10+8=18 Moving to Node #0,1,0 Current State: 46:[28, 2], Operations: ['96-88=8', '10-8=2'] Exploring Operation: 282=56, Resulting Numbers: [56] 56,46 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,46 unequal: No Solution Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,46 unequal: No Solution Moving to Node #0,1,3 Current State: 46:[28, 18], Operations: ['96-88=8', '10+8=18'] Exploring Operation: 2818=504, Resulting Numbers: [504] 504,46 unequal: No Solution Exploring Operation: 28-18=10, Resulting Numbers: [10] 10,46 unequal: No Solution Exploring Operation: 28+18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[96, 88, 10, 28], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [10, 28, 8] Generated Node #0,1: 46:[10, 28, 8] Operation: 96-88=8 Moving to Node #0,1 Current State: 46:[10, 28, 8], Operations: ['96-88=8'] Exploring Operation: 10+8=18, Resulting Numbers: [28, 18] Generated Node #0,1,3: 46:[28, 18] Operation: 10+8=18 Moving to Node #0,1,3 Current State: 46:[28, 18], Operations: ['96-88=8', '10+8=18'] Exploring Operation: 28+18=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1	0.983507	hs_4	sum_heuristic
[ 95, 5, 18, 95 ]	23	[ "95+5=100", "95-18=77", "100-77=23" ]	Current State: 23:[95, 5, 18, 95], Operations: [] Exploring Operation: 95+5=100, Resulting Numbers: [18, 100] Generated Node #2: [18, 100] from Operation: 95+5=100 Current State: 23:[18, 100], Operations: ['95+5=100'] Exploring Operation: 95-18=77, Resulting Numbers: [100, 77] Generated Node #3: [100, 77] from Operation: 95-18=77 Current State: 23:[100, 77], Operations: ['95+5=100', '95-18=77'] Exploring Operation: 100-77=23, Resulting Numbers: [23] 23,23 equal: Goal Reached	4	Current State: 23:[95, 5, 18, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [5, 18, 0] Generated Node #0,0: 23:[5, 18, 0] Operation: 95-95=0 Exploring Operation: 95/95=1, Resulting Numbers: [5, 18, 1] Generated Node #0,1: 23:[5, 18, 1] Operation: 95/95=1 Exploring Operation: 95-5=90, Resulting Numbers: [18, 95, 90] Generated Node #0,2: 23:[18, 95, 90] Operation: 95-5=90 Exploring Operation: 95/5=19, Resulting Numbers: [95, 18, 19] Generated Node #0,3: 23:[95, 18, 19] Operation: 95/5=19 Exploring Operation: 95/5=19, Resulting Numbers: [18, 95, 19] Generated Node #0,4: 23:[18, 95, 19] Operation: 95/5=19 Start Sub Search at level 1: Moving to Node #0,1 Current State: 23:[5, 18, 1], Operations: ['95/95=1'] Exploring Operation: 51=5, Resulting Numbers: [18, 5] Generated Node #0,1,0: 23:[18, 5] Operation: 51=5 Exploring Operation: 5+18=23, Resulting Numbers: [1, 23] Generated Node #0,1,1: 23:[1, 23] Operation: 5+18=23 Exploring Operation: 5+1=6, Resulting Numbers: [18, 6] Generated Node #0,1,2: 23:[18, 6] Operation: 5+1=6 Exploring Operation: 5/1=5, Resulting Numbers: [18, 5] Generated Node #0,1,3: 23:[18, 5] Operation: 5/1=5 Exploring Operation: 18+1=19, Resulting Numbers: [5, 19] Generated Node #0,1,4: 23:[5, 19] Operation: 18+1=19 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 23:[1, 23], Operations: ['95/95=1', '5+18=23'] Exploring Operation: 123=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Moving to Node #0 Current State: 23:[95, 5, 18, 95], Operations: [] Exploring Operation: 95/95=1, Resulting Numbers: [5, 18, 1] Generated Node #0,1: 23:[5, 18, 1] Operation: 95/95=1 Moving to Node #0,1 Current State: 23:[5, 18, 1], Operations: ['95/95=1'] Exploring Operation: 5+18=23, Resulting Numbers: [1, 23] Generated Node #0,1,1: 23:[1, 23] Operation: 5+18=23 Moving to Node #0,1,1 Current State: 23:[1, 23], Operations: ['95/95=1', '5+18=23'] Exploring Operation: 123=23, Resulting Numbers: [23] 23,23 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.986979	hs_5	mult_heuristic
[ 67, 50, 1, 5 ]	11	[ "67-50=17", "1+5=6", "17-6=11" ]	Current State: 11:[67, 50, 1, 5], Operations: [] Exploring Operation: 67-50=17, Resulting Numbers: [1, 5, 17] Generated Node #2: [1, 5, 17] from Operation: 67-50=17 Current State: 11:[1, 5, 17], Operations: ['67-50=17'] Exploring Operation: 1+5=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 1+5=6 Current State: 11:[17, 6], Operations: ['67-50=17', '1+5=6'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	4	Current State: 11:[67, 50, 1, 5], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [50, 1, 62] Generated Node #0,0: 11:[50, 1, 62] Operation: 67-5=62 Exploring Operation: 50/5=10, Resulting Numbers: [67, 1, 10] Generated Node #0,1: 11:[67, 1, 10] Operation: 50/5=10 Exploring Operation: 50-1=49, Resulting Numbers: [67, 5, 49] Generated Node #0,2: 11:[67, 5, 49] Operation: 50-1=49 Exploring Operation: 67-1=66, Resulting Numbers: [50, 5, 66] Generated Node #0,3: 11:[50, 5, 66] Operation: 67-1=66 Exploring Operation: 67-50=17, Resulting Numbers: [1, 5, 17] Generated Node #0,4: 11:[1, 5, 17] Operation: 67-50=17 Moving to Node #0,4 Current State: 11:[1, 5, 17], Operations: ['67-50=17'] Exploring Operation: 15=5, Resulting Numbers: [17, 5] Generated Node #0,4,0: 11:[17, 5] Operation: 15=5 Exploring Operation: 5/1=5, Resulting Numbers: [17, 5] Generated Node #0,4,1: 11:[17, 5] Operation: 5/1=5 Exploring Operation: 17-1=16, Resulting Numbers: [5, 16] Generated Node #0,4,2: 11:[5, 16] Operation: 17-1=16 Exploring Operation: 17-5=12, Resulting Numbers: [1, 12] Generated Node #0,4,3: 11:[1, 12] Operation: 17-5=12 Exploring Operation: 1+5=6, Resulting Numbers: [17, 6] Generated Node #0,4,4: 11:[17, 6] Operation: 1+5=6 Moving to Node #0,1 Current State: 11:[67, 1, 10], Operations: ['50/5=10'] Exploring Operation: 1+10=11, Resulting Numbers: [67, 11] Generated Node #0,1,0: 11:[67, 11] Operation: 1+10=11 Exploring Operation: 67/1=67, Resulting Numbers: [10, 67] Generated Node #0,1,1: 11:[10, 67] Operation: 67/1=67 Exploring Operation: 671=67, Resulting Numbers: [10, 67] Generated Node #0,1,2: 11:[10, 67] Operation: 671=67 Exploring Operation: 67-10=57, Resulting Numbers: [1, 57] Generated Node #0,1,3: 11:[1, 57] Operation: 67-10=57 Exploring Operation: 67-1=66, Resulting Numbers: [10, 66] Generated Node #0,1,4: 11:[10, 66] Operation: 67-1=66 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 11:[67, 11], Operations: ['50/5=10', '1+10=11'] Exploring Operation: 6711=737, Resulting Numbers: [737] 737,11 unequal: No Solution Exploring Operation: 67-11=56, Resulting Numbers: [56] 56,11 unequal: No Solution Exploring Operation: 67+11=78, Resulting Numbers: [78] 78,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 11:[1, 57], Operations: ['50/5=10', '67-10=57'] Exploring Operation: 57/1=57, Resulting Numbers: [57] 57,11 unequal: No Solution Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,11 unequal: No Solution Exploring Operation: 157=57, Resulting Numbers: [57] 57,11 unequal: No Solution Exploring Operation: 1+57=58, Resulting Numbers: [58] 58,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 11:[10, 66], Operations: ['50/5=10', '67-1=66'] Exploring Operation: 1066=660, Resulting Numbers: [660] 660,11 unequal: No Solution Exploring Operation: 10+66=76, Resulting Numbers: [76] 76,11 unequal: No Solution Exploring Operation: 66-10=56, Resulting Numbers: [56] 56,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 11:[10, 67], Operations: ['50/5=10', '67/1=67'] Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,11 unequal: No Solution Exploring Operation: 1067=670, Resulting Numbers: [670] 670,11 unequal: No Solution Exploring Operation: 10+67=77, Resulting Numbers: [77] 77,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 11:[10, 67], Operations: ['50/5=10', '671=67'] Exploring Operation: 1067=670, Resulting Numbers: [670] 670,11 unequal: No Solution Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,11 unequal: No Solution Exploring Operation: 10+67=77, Resulting Numbers: [77] 77,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 11:[50, 1, 62], Operations: ['67-5=62'] Exploring Operation: 50/1=50, Resulting Numbers: [62, 50] Generated Node #0,0,0: 11:[62, 50] Operation: 50/1=50 Exploring Operation: 501=50, Resulting Numbers: [62, 50] Generated Node #0,0,1: 11:[62, 50] Operation: 501=50 Exploring Operation: 50-1=49, Resulting Numbers: [62, 49] Generated Node #0,0,2: 11:[62, 49] Operation: 50-1=49 Exploring Operation: 62-1=61, Resulting Numbers: [50, 61] Generated Node #0,0,3: 11:[50, 61] Operation: 62-1=61 Exploring Operation: 62-50=12, Resulting Numbers: [1, 12] Generated Node #0,0,4: 11:[1, 12] Operation: 62-50=12 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 11:[1, 12], Operations: ['67-5=62', '62-50=12'] Exploring Operation: 1*12=12, Resulting Numbers: [12] 12,11 unequal: No Solution Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,11 unequal: No Solution Exploring Operation: 12/1=12, Resulting Numbers: [12] 12,11 unequal: No Solution Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[67, 50, 1, 5], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [50, 1, 62] Generated Node #0,0: 11:[50, 1, 62] Operation: 67-5=62 Moving to Node #0,0 Current State: 11:[50, 1, 62], Operations: ['67-5=62'] Exploring Operation: 62-50=12, Resulting Numbers: [1, 12] Generated Node #0,0,4: 11:[1, 12] Operation: 62-50=12 Moving to Node #0,0,4 Current State: 11:[1, 12], Operations: ['67-5=62', '62-50=12'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1	0.961806	hs_5	sum_heuristic
[ 3, 25, 4, 64 ]	39	[ "4-3=1", "64-25=39", "1*39=39" ]	Current State: 39:[3, 25, 4, 64], Operations: [] Exploring Operation: 4-3=1, Resulting Numbers: [25, 64, 1] Generated Node #2: [25, 64, 1] from Operation: 4-3=1 Current State: 39:[25, 64, 1], Operations: ['4-3=1'] Exploring Operation: 64-25=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 64-25=39 Current State: 39:[1, 39], Operations: ['4-3=1', '64-25=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached	4	Current State: 39:[3, 25, 4, 64], Operations: [] Exploring Operation: 64-4=60, Resulting Numbers: [3, 25, 60] Generated Node #0,0: 39:[3, 25, 60] Operation: 64-4=60 Exploring Operation: 25-4=21, Resulting Numbers: [3, 64, 21] Generated Node #0,1: 39:[3, 64, 21] Operation: 25-4=21 Exploring Operation: 64/4=16, Resulting Numbers: [3, 25, 16] Generated Node #0,2: 39:[3, 25, 16] Operation: 64/4=16 Exploring Operation: 64-25=39, Resulting Numbers: [3, 4, 39] Generated Node #0,3: 39:[3, 4, 39] Operation: 64-25=39 Exploring Operation: 25-3=22, Resulting Numbers: [4, 64, 22] Generated Node #0,4: 39:[4, 64, 22] Operation: 25-3=22 Start Sub Search at level 1: Moving to Node #0,3 Current State: 39:[3, 4, 39], Operations: ['64-25=39'] Exploring Operation: 34=12, Resulting Numbers: [39, 12] Generated Node #0,3,0: 39:[39, 12] Operation: 34=12 Exploring Operation: 4-3=1, Resulting Numbers: [39, 1] Generated Node #0,3,1: 39:[39, 1] Operation: 4-3=1 Exploring Operation: 3+4=7, Resulting Numbers: [39, 7] Generated Node #0,3,2: 39:[39, 7] Operation: 3+4=7 Exploring Operation: 3+39=42, Resulting Numbers: [4, 42] Generated Node #0,3,3: 39:[4, 42] Operation: 3+39=42 Exploring Operation: 39/3=13, Resulting Numbers: [4, 13] Generated Node #0,3,4: 39:[4, 13] Operation: 39/3=13 Moving to Node #0,3,0 Current State: 39:[39, 12], Operations: ['64-25=39', '34=12'] Exploring Operation: 3912=468, Resulting Numbers: [468] 468,39 unequal: No Solution Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,39 unequal: No Solution Exploring Operation: 39+12=51, Resulting Numbers: [51] 51,39 unequal: No Solution Moving to Node #0,3,4 Current State: 39:[4, 13], Operations: ['64-25=39', '39/3=13'] Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,39 unequal: No Solution Exploring Operation: 4+13=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 413=52, Resulting Numbers: [52] 52,39 unequal: No Solution Moving to Node #0,3,1 Current State: 39:[39, 1], Operations: ['64-25=39', '4-3=1'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,39 unequal: No Solution Exploring Operation: 391=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[3, 25, 4, 64], Operations: [] Exploring Operation: 64-25=39, Resulting Numbers: [3, 4, 39] Generated Node #0,3: 39:[3, 4, 39] Operation: 64-25=39 Moving to Node #0,3 Current State: 39:[3, 4, 39], Operations: ['64-25=39'] Exploring Operation: 4-3=1, Resulting Numbers: [39, 1] Generated Node #0,3,1: 39:[39, 1] Operation: 4-3=1 Moving to Node #0,3,1 Current State: 39:[39, 1], Operations: ['64-25=39', '4-3=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Exit Sub Search at level 1	0.980035	hs_5	mult_heuristic
[ 16, 7, 12, 21 ]	60	[ "16*21=336", "336/7=48", "12+48=60" ]	Current State: 60:[16, 7, 12, 21], Operations: [] Exploring Operation: 1621=336, Resulting Numbers: [7, 12, 336] Generated Node #2: [7, 12, 336] from Operation: 1621=336 Current State: 60:[7, 12, 336], Operations: ['1621=336'] Exploring Operation: 336/7=48, Resulting Numbers: [12, 48] Generated Node #3: [12, 48] from Operation: 336/7=48 Current State: 60:[12, 48], Operations: ['1621=336', '336/7=48'] Exploring Operation: 12+48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached	4	Current State: 60:[16, 7, 12, 21], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [16, 12, 3] Generated Node #0,0: 60:[16, 12, 3] Operation: 21/7=3 Exploring Operation: 21-16=5, Resulting Numbers: [7, 12, 5] Generated Node #0,1: 60:[7, 12, 5] Operation: 21-16=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[16, 12, 3], Operations: ['21/7=3'] Exploring Operation: 16-12=4, Resulting Numbers: [3, 4] Generated Node #0,0,0: 60:[3, 4] Operation: 16-12=4 Exploring Operation: 16+3=19, Resulting Numbers: [12, 19] Generated Node #0,0,1: 60:[12, 19] Operation: 16+3=19 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 60:[3, 4], Operations: ['21/7=3', '16-12=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,60 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 60:[12, 19], Operations: ['21/7=3', '16+3=19'] Exploring Operation: 12+19=31, Resulting Numbers: [31] 31,60 unequal: No Solution Exploring Operation: 19-12=7, Resulting Numbers: [7] 7,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 60:[7, 12, 5], Operations: ['21-16=5'] Exploring Operation: 12-7=5, Resulting Numbers: [5, 5] Generated Node #0,1,0: 60:[5, 5] Operation: 12-7=5 Exploring Operation: 7+5=12, Resulting Numbers: [12, 12] Generated Node #0,1,1: 60:[12, 12] Operation: 7+5=12 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 60:[5, 5], Operations: ['21-16=5', '12-7=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,60 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 60:[12, 12], Operations: ['21-16=5', '7+5=12'] Exploring Operation: 12/12=1, Resulting Numbers: [1] 1,60 unequal: No Solution Exploring Operation: 12-12=0, Resulting Numbers: [0] 0,60 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	mult_heuristic
[ 28, 92, 56, 9 ]	73	[ "28+92=120", "56-9=47", "120-47=73" ]	Current State: 73:[28, 92, 56, 9], Operations: [] Exploring Operation: 28+92=120, Resulting Numbers: [56, 9, 120] Generated Node #2: [56, 9, 120] from Operation: 28+92=120 Current State: 73:[56, 9, 120], Operations: ['28+92=120'] Exploring Operation: 56-9=47, Resulting Numbers: [120, 47] Generated Node #3: [120, 47] from Operation: 56-9=47 Current State: 73:[120, 47], Operations: ['28+92=120', '56-9=47'] Exploring Operation: 120-47=73, Resulting Numbers: [73] 73,73 equal: Goal Reached	4	Current State: 73:[28, 92, 56, 9], Operations: [] Exploring Operation: 56+9=65, Resulting Numbers: [28, 92, 65] Generated Node #0,0: 73:[28, 92, 65] Operation: 56+9=65 Exploring Operation: 92-9=83, Resulting Numbers: [28, 56, 83] Generated Node #0,1: 73:[28, 56, 83] Operation: 92-9=83 Exploring Operation: 28-9=19, Resulting Numbers: [92, 56, 19] Generated Node #0,2: 73:[92, 56, 19] Operation: 28-9=19 Exploring Operation: 92-28=64, Resulting Numbers: [56, 9, 64] Generated Node #0,3: 73:[56, 9, 64] Operation: 92-28=64 Exploring Operation: 28+9=37, Resulting Numbers: [92, 56, 37] Generated Node #0,4: 73:[92, 56, 37] Operation: 28+9=37 Moving to Node #0,0 Current State: 73:[28, 92, 65], Operations: ['56+9=65'] Exploring Operation: 65-28=37, Resulting Numbers: [92, 37] Generated Node #0,0,0: 73:[92, 37] Operation: 65-28=37 Exploring Operation: 92-65=27, Resulting Numbers: [28, 27] Generated Node #0,0,1: 73:[28, 27] Operation: 92-65=27 Exploring Operation: 92-28=64, Resulting Numbers: [65, 64] Generated Node #0,0,2: 73:[65, 64] Operation: 92-28=64 Exploring Operation: 28+65=93, Resulting Numbers: [92, 93] Generated Node #0,0,3: 73:[92, 93] Operation: 28+65=93 Exploring Operation: 28+92=120, Resulting Numbers: [65, 120] Generated Node #0,0,4: 73:[65, 120] Operation: 28+92=120 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 73:[65, 64], Operations: ['56+9=65', '92-28=64'] Exploring Operation: 65+64=129, Resulting Numbers: [129] 129,73 unequal: No Solution Exploring Operation: 6564=4160, Resulting Numbers: [4160] 4160,73 unequal: No Solution Exploring Operation: 65-64=1, Resulting Numbers: [1] 1,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 73:[92, 93], Operations: ['56+9=65', '28+65=93'] Exploring Operation: 9293=8556, Resulting Numbers: [8556] 8556,73 unequal: No Solution Exploring Operation: 92+93=185, Resulting Numbers: [185] 185,73 unequal: No Solution Exploring Operation: 93-92=1, Resulting Numbers: [1] 1,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 73:[92, 37], Operations: ['56+9=65', '65-28=37'] Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,73 unequal: No Solution Exploring Operation: 92+37=129, Resulting Numbers: [129] 129,73 unequal: No Solution Exploring Operation: 9237=3404, Resulting Numbers: [3404] 3404,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 73:[65, 120], Operations: ['56+9=65', '28+92=120'] Exploring Operation: 65+120=185, Resulting Numbers: [185] 185,73 unequal: No Solution Exploring Operation: 65120=7800, Resulting Numbers: [7800] 7800,73 unequal: No Solution Exploring Operation: 120-65=55, Resulting Numbers: [55] 55,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 73:[28, 27], Operations: ['56+9=65', '92-65=27'] Exploring Operation: 28-27=1, Resulting Numbers: [1] 1,73 unequal: No Solution Exploring Operation: 28+27=55, Resulting Numbers: [55] 55,73 unequal: No Solution Exploring Operation: 2827=756, Resulting Numbers: [756] 756,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 73:[92, 56, 37], Operations: ['28+9=37'] Exploring Operation: 92-37=55, Resulting Numbers: [56, 55] Generated Node #0,4,0: 73:[56, 55] Operation: 92-37=55 Exploring Operation: 92+37=129, Resulting Numbers: [56, 129] Generated Node #0,4,1: 73:[56, 129] Operation: 92+37=129 Exploring Operation: 92-56=36, Resulting Numbers: [37, 36] Generated Node #0,4,2: 73:[37, 36] Operation: 92-56=36 Exploring Operation: 56+37=93, Resulting Numbers: [92, 93] Generated Node #0,4,3: 73:[92, 93] Operation: 56+37=93 Exploring Operation: 56-37=19, Resulting Numbers: [92, 19] Generated Node #0,4,4: 73:[92, 19] Operation: 56-37=19 Moving to Node #0,1 Current State: 73:[28, 56, 83], Operations: ['92-9=83'] Exploring Operation: 28+56=84, Resulting Numbers: [83, 84] Generated Node #0,1,0: 73:[83, 84] Operation: 28+56=84 Exploring Operation: 56-28=28, Resulting Numbers: [83, 28] Generated Node #0,1,1: 73:[83, 28] Operation: 56-28=28 Exploring Operation: 28+83=111, Resulting Numbers: [56, 111] Generated Node #0,1,2: 73:[56, 111] Operation: 28+83=111 Exploring Operation: 56/28=2, Resulting Numbers: [83, 2] Generated Node #0,1,3: 73:[83, 2] Operation: 56/28=2 Exploring Operation: 83-28=55, Resulting Numbers: [56, 55] Generated Node #0,1,4: 73:[56, 55] Operation: 83-28=55 Moving to Node #0,2 Current State: 73:[92, 56, 19], Operations: ['28-9=19'] Exploring Operation: 92-56=36, Resulting Numbers: [19, 36] Generated Node #0,2,0: 73:[19, 36] Operation: 92-56=36 Exploring Operation: 92+19=111, Resulting Numbers: [56, 111] Generated Node #0,2,1: 73:[56, 111] Operation: 92+19=111 Exploring Operation: 56-19=37, Resulting Numbers: [92, 37] Generated Node #0,2,2: 73:[92, 37] Operation: 56-19=37 Exploring Operation: 92-19=73, Resulting Numbers: [56, 73] Generated Node #0,2,3: 73:[56, 73] Operation: 92-19=73 Exploring Operation: 56+19=75, Resulting Numbers: [92, 75] Generated Node #0,2,4: 73:[92, 75] Operation: 56+19=75 Moving to Node #0,3 Current State: 73:[56, 9, 64], Operations: ['92-28=64'] Exploring Operation: 56+9=65, Resulting Numbers: [64, 65] Generated Node #0,3,0: 73:[64, 65] Operation: 56+9=65 Exploring Operation: 56+64=120, Resulting Numbers: [9, 120] Generated Node #0,3,1: 73:[9, 120] Operation: 56+64=120 Exploring Operation: 56-9=47, Resulting Numbers: [64, 47] Generated Node #0,3,2: 73:[64, 47] Operation: 56-9=47 Exploring Operation: 9+64=73, Resulting Numbers: [56, 73] Generated Node #0,3,3: 73:[56, 73] Operation: 9+64=73 Exploring Operation: 64-9=55, Resulting Numbers: [56, 55] Generated Node #0,3,4: 73:[56, 55] Operation: 64-9=55 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 73:[64, 65], Operations: ['92-28=64', '56+9=65'] Exploring Operation: 6465=4160, Resulting Numbers: [4160] 4160,73 unequal: No Solution Exploring Operation: 64+65=129, Resulting Numbers: [129] 129,73 unequal: No Solution Exploring Operation: 65-64=1, Resulting Numbers: [1] 1,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 73:[56, 73], Operations: ['92-28=64', '9+64=73'] Exploring Operation: 73-56=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 5673=4088, Resulting Numbers: [4088] 4088,73 unequal: No Solution Exploring Operation: 56+73=129, Resulting Numbers: [129] 129,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 73:[64, 47], Operations: ['92-28=64', '56-9=47'] Exploring Operation: 64+47=111, Resulting Numbers: [111] 111,73 unequal: No Solution Exploring Operation: 64-47=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 6447=3008, Resulting Numbers: [3008] 3008,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 73:[56, 55], Operations: ['92-28=64', '64-9=55'] Exploring Operation: 5655=3080, Resulting Numbers: [3080] 3080,73 unequal: No Solution Exploring Operation: 56+55=111, Resulting Numbers: [111] 111,73 unequal: No Solution Exploring Operation: 56-55=1, Resulting Numbers: [1] 1,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 73:[9, 120], Operations: ['92-28=64', '56+64=120'] Exploring Operation: 9+120=129, Resulting Numbers: [129] 129,73 unequal: No Solution Exploring Operation: 120-9=111, Resulting Numbers: [111] 111,73 unequal: No Solution Exploring Operation: 9120=1080, Resulting Numbers: [1080] 1080,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,3 Current State: 73:[56, 73], Operations: ['28-9=19', '92-19=73'] Exploring Operation: 73-56=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 5673=4088, Resulting Numbers: [4088] 4088,73 unequal: No Solution Exploring Operation: 56+73=129, Resulting Numbers: [129] 129,73 unequal: No Solution Moving to Node #0,2,4 Current State: 73:[92, 75], Operations: ['28-9=19', '56+19=75'] Exploring Operation: 9275=6900, Resulting Numbers: [6900] 6900,73 unequal: No Solution Exploring Operation: 92-75=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 92+75=167, Resulting Numbers: [167] 167,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[83, 84], Operations: ['92-9=83', '28+56=84'] Exploring Operation: 8384=6972, Resulting Numbers: [6972] 6972,73 unequal: No Solution Exploring Operation: 84-83=1, Resulting Numbers: [1] 1,73 unequal: No Solution Exploring Operation: 83+84=167, Resulting Numbers: [167] 167,73 unequal: No Solution Moving to Node #0,1,4 Current State: 73:[56, 55], Operations: ['92-9=83', '83-28=55'] Exploring Operation: 56-55=1, Resulting Numbers: [1] 1,73 unequal: No Solution Exploring Operation: 56+55=111, Resulting Numbers: [111] 111,73 unequal: No Solution Exploring Operation: 5655=3080, Resulting Numbers: [3080] 3080,73 unequal: No Solution Moving to Node #0,4,0 Current State: 73:[56, 55], Operations: ['28+9=37', '92-37=55'] Exploring Operation: 5655=3080, Resulting Numbers: [3080] 3080,73 unequal: No Solution Exploring Operation: 56-55=1, Resulting Numbers: [1] 1,73 unequal: No Solution Exploring Operation: 56+55=111, Resulting Numbers: [111] 111,73 unequal: No Solution Moving to Node #0,4,3 Current State: 73:[92, 93], Operations: ['28+9=37', '56+37=93'] Exploring Operation: 9293=8556, Resulting Numbers: [8556] 8556,73 unequal: No Solution Exploring Operation: 92+93=185, Resulting Numbers: [185] 185,73 unequal: No Solution Exploring Operation: 93-92=1, Resulting Numbers: [1] 1,73 unequal: No Solution Moving to Node #0,2,2 Current State: 73:[92, 37], Operations: ['28-9=19', '56-19=37'] Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,73 unequal: No Solution Exploring Operation: 92+37=129, Resulting Numbers: [129] 129,73 unequal: No Solution Exploring Operation: 9237=3404, Resulting Numbers: [3404] 3404,73 unequal: No Solution Moving to Node #0,2,1 Current State: 73:[56, 111], Operations: ['28-9=19', '92+19=111'] Exploring Operation: 56+111=167, Resulting Numbers: [167] 167,73 unequal: No Solution Exploring Operation: 56111=6216, Resulting Numbers: [6216] 6216,73 unequal: No Solution Exploring Operation: 111-56=55, Resulting Numbers: [55] 55,73 unequal: No Solution Moving to Node #0,1,1 Current State: 73:[83, 28], Operations: ['92-9=83', '56-28=28'] Exploring Operation: 8328=2324, Resulting Numbers: [2324] 2324,73 unequal: No Solution Exploring Operation: 83+28=111, Resulting Numbers: [111] 111,73 unequal: No Solution Exploring Operation: 83-28=55, Resulting Numbers: [55] 55,73 unequal: No Solution Moving to Node #0,1,2 Current State: 73:[56, 111], Operations: ['92-9=83', '28+83=111'] Exploring Operation: 111-56=55, Resulting Numbers: [55] 55,73 unequal: No Solution Exploring Operation: 56111=6216, Resulting Numbers: [6216] 6216,73 unequal: No Solution Exploring Operation: 56+111=167, Resulting Numbers: [167] 167,73 unequal: No Solution Moving to Node #0,4,1 Current State: 73:[56, 129], Operations: ['28+9=37', '92+37=129'] Exploring Operation: 56*129=7224, Resulting Numbers: [7224] 7224,73 unequal: No Solution Exploring Operation: 56+129=185, Resulting Numbers: [185] 185,73 unequal: No Solution Exploring Operation: 129-56=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[28, 92, 56, 9], Operations: [] Exploring Operation: 28+9=37, Resulting Numbers: [92, 56, 37] Generated Node #0,4: 73:[92, 56, 37] Operation: 28+9=37 Moving to Node #0,4 Current State: 73:[92, 56, 37], Operations: ['28+9=37'] Exploring Operation: 92+37=129, Resulting Numbers: [56, 129] Generated Node #0,4,1: 73:[56, 129] Operation: 92+37=129 Moving to Node #0,4,1 Current State: 73:[56, 129], Operations: ['28+9=37', '92+37=129'] Exploring Operation: 129-56=73, Resulting Numbers: [73] 73,73 equal: Goal Reached	0.915799	hs_5	sum_heuristic
[ 83, 96, 1, 45 ]	57	[ "96-83=13", "45-1=44", "13+44=57" ]	Current State: 57:[83, 96, 1, 45], Operations: [] Exploring Operation: 96-83=13, Resulting Numbers: [1, 45, 13] Generated Node #2: [1, 45, 13] from Operation: 96-83=13 Current State: 57:[1, 45, 13], Operations: ['96-83=13'] Exploring Operation: 45-1=44, Resulting Numbers: [13, 44] Generated Node #3: [13, 44] from Operation: 45-1=44 Current State: 57:[13, 44], Operations: ['96-83=13', '45-1=44'] Exploring Operation: 13+44=57, Resulting Numbers: [57] 57,57 equal: Goal Reached	4	Current State: 57:[83, 96, 1, 45], Operations: [] Exploring Operation: 96-83=13, Resulting Numbers: [1, 45, 13] Generated Node #0,0: 57:[1, 45, 13] Operation: 96-83=13 Exploring Operation: 96-45=51, Resulting Numbers: [83, 1, 51] Generated Node #0,1: 57:[83, 1, 51] Operation: 96-45=51 Moving to Node #0,0 Current State: 57:[1, 45, 13], Operations: ['96-83=13'] Exploring Operation: 45-13=32, Resulting Numbers: [1, 32] Generated Node #0,0,0: 57:[1, 32] Operation: 45-13=32 Exploring Operation: 45+13=58, Resulting Numbers: [1, 58] Generated Node #0,0,1: 57:[1, 58] Operation: 45+13=58 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 57:[1, 58], Operations: ['96-83=13', '45+13=58'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[83, 96, 1, 45], Operations: [] Exploring Operation: 96-83=13, Resulting Numbers: [1, 45, 13] Generated Node #0,0: 57:[1, 45, 13] Operation: 96-83=13 Moving to Node #0,0 Current State: 57:[1, 45, 13], Operations: ['96-83=13'] Exploring Operation: 45+13=58, Resulting Numbers: [1, 58] Generated Node #0,0,1: 57:[1, 58] Operation: 45+13=58 Moving to Node #0,0,1 Current State: 57:[1, 58], Operations: ['96-83=13', '45+13=58'] Exploring Operation: 58-1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1	0.992188	hs_2	mult_heuristic
[ 28, 37, 33, 16 ]	24	[ "37-33=4", "16/4=4", "28-4=24" ]	Current State: 24:[28, 37, 33, 16], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [28, 16, 4] Generated Node #2: [28, 16, 4] from Operation: 37-33=4 Current State: 24:[28, 16, 4], Operations: ['37-33=4'] Exploring Operation: 16/4=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 16/4=4 Current State: 24:[28, 4], Operations: ['37-33=4', '16/4=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached	4	Current State: 24:[28, 37, 33, 16], Operations: [] Exploring Operation: 37-16=21, Resulting Numbers: [28, 33, 21] Generated Node #0,0: 24:[28, 33, 21] Operation: 37-16=21 Exploring Operation: 28-16=12, Resulting Numbers: [37, 33, 12] Generated Node #0,1: 24:[37, 33, 12] Operation: 28-16=12 Exploring Operation: 33-28=5, Resulting Numbers: [37, 16, 5] Generated Node #0,2: 24:[37, 16, 5] Operation: 33-28=5 Exploring Operation: 37-33=4, Resulting Numbers: [28, 16, 4] Generated Node #0,3: 24:[28, 16, 4] Operation: 37-33=4 Exploring Operation: 37-28=9, Resulting Numbers: [33, 16, 9] Generated Node #0,4: 24:[33, 16, 9] Operation: 37-28=9 Start Sub Search at level 1: Moving to Node #0,3 Current State: 24:[28, 16, 4], Operations: ['37-33=4'] Exploring Operation: 28/4=7, Resulting Numbers: [16, 7] Generated Node #0,3,0: 24:[16, 7] Operation: 28/4=7 Exploring Operation: 28-16=12, Resulting Numbers: [4, 12] Generated Node #0,3,1: 24:[4, 12] Operation: 28-16=12 Exploring Operation: 16/4=4, Resulting Numbers: [28, 4] Generated Node #0,3,2: 24:[28, 4] Operation: 16/4=4 Exploring Operation: 16-4=12, Resulting Numbers: [28, 12] Generated Node #0,3,3: 24:[28, 12] Operation: 16-4=12 Exploring Operation: 28-4=24, Resulting Numbers: [16, 24] Generated Node #0,3,4: 24:[16, 24] Operation: 28-4=24 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 24:[4, 12], Operations: ['37-33=4', '28-16=12'] Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,24 unequal: No Solution Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,24 unequal: No Solution Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,24 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 24:[28, 4], Operations: ['37-33=4', '16/4=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,24 unequal: No Solution Exploring Operation: 28/4=7, Resulting Numbers: [7] 7,24 unequal: No Solution Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[28, 37, 33, 16], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [28, 16, 4] Generated Node #0,3: 24:[28, 16, 4] Operation: 37-33=4 Moving to Node #0,3 Current State: 24:[28, 16, 4], Operations: ['37-33=4'] Exploring Operation: 16/4=4, Resulting Numbers: [28, 4] Generated Node #0,3,2: 24:[28, 4] Operation: 16/4=4 Moving to Node #0,3,2 Current State: 24:[28, 4], Operations: ['37-33=4', '16/4=4'] Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.981771	hs_5	mult_heuristic
[ 40, 68, 32, 82 ]	86	[ "68-40=28", "32+82=114", "114-28=86" ]	Current State: 86:[40, 68, 32, 82], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [32, 82, 28] Generated Node #2: [32, 82, 28] from Operation: 68-40=28 Current State: 86:[32, 82, 28], Operations: ['68-40=28'] Exploring Operation: 32+82=114, Resulting Numbers: [28, 114] Generated Node #3: [28, 114] from Operation: 32+82=114 Current State: 86:[28, 114], Operations: ['68-40=28', '32+82=114'] Exploring Operation: 114-28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached	4	Current State: 86:[40, 68, 32, 82], Operations: [] Exploring Operation: 68+32=100, Resulting Numbers: [40, 82, 100] Generated Node #0,0: 86:[40, 82, 100] Operation: 68+32=100 Exploring Operation: 40-32=8, Resulting Numbers: [68, 82, 8] Generated Node #0,1: 86:[68, 82, 8] Operation: 40-32=8 Exploring Operation: 82-68=14, Resulting Numbers: [40, 32, 14] Generated Node #0,2: 86:[40, 32, 14] Operation: 82-68=14 Exploring Operation: 68-32=36, Resulting Numbers: [40, 82, 36] Generated Node #0,3: 86:[40, 82, 36] Operation: 68-32=36 Moving to Node #0,3 Current State: 86:[40, 82, 36], Operations: ['68-32=36'] Exploring Operation: 82-36=46, Resulting Numbers: [40, 46] Generated Node #0,3,0: 86:[40, 46] Operation: 82-36=46 Exploring Operation: 82-40=42, Resulting Numbers: [36, 42] Generated Node #0,3,1: 86:[36, 42] Operation: 82-40=42 Exploring Operation: 40-36=4, Resulting Numbers: [82, 4] Generated Node #0,3,2: 86:[82, 4] Operation: 40-36=4 Exploring Operation: 40+36=76, Resulting Numbers: [82, 76] Generated Node #0,3,3: 86:[82, 76] Operation: 40+36=76 Moving to Node #0,0 Current State: 86:[40, 82, 100], Operations: ['68+32=100'] Exploring Operation: 40+82=122, Resulting Numbers: [100, 122] Generated Node #0,0,0: 86:[100, 122] Operation: 40+82=122 Exploring Operation: 100-82=18, Resulting Numbers: [40, 18] Generated Node #0,0,1: 86:[40, 18] Operation: 100-82=18 Exploring Operation: 82-40=42, Resulting Numbers: [100, 42] Generated Node #0,0,2: 86:[100, 42] Operation: 82-40=42 Exploring Operation: 100-40=60, Resulting Numbers: [82, 60] Generated Node #0,0,3: 86:[82, 60] Operation: 100-40=60 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 86:[100, 42], Operations: ['68+32=100', '82-40=42'] Exploring Operation: 100+42=142, Resulting Numbers: [142] 142,86 unequal: No Solution Exploring Operation: 10042=4200, Resulting Numbers: [4200] 4200,86 unequal: No Solution Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 86:[40, 18], Operations: ['68+32=100', '100-82=18'] Exploring Operation: 40+18=58, Resulting Numbers: [58] 58,86 unequal: No Solution Exploring Operation: 4018=720, Resulting Numbers: [720] 720,86 unequal: No Solution Exploring Operation: 40-18=22, Resulting Numbers: [22] 22,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 86:[82, 60], Operations: ['68+32=100', '100-40=60'] Exploring Operation: 82+60=142, Resulting Numbers: [142] 142,86 unequal: No Solution Exploring Operation: 82-60=22, Resulting Numbers: [22] 22,86 unequal: No Solution Exploring Operation: 8260=4920, Resulting Numbers: [4920] 4920,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 86:[100, 122], Operations: ['68+32=100', '40+82=122'] Exploring Operation: 100+122=222, Resulting Numbers: [222] 222,86 unequal: No Solution Exploring Operation: 100122=12200, Resulting Numbers: [12200] 12200,86 unequal: No Solution Exploring Operation: 122-100=22, Resulting Numbers: [22] 22,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 86:[40, 32, 14], Operations: ['82-68=14'] Exploring Operation: 40+14=54, Resulting Numbers: [32, 54] Generated Node #0,2,0: 86:[32, 54] Operation: 40+14=54 Exploring Operation: 32+14=46, Resulting Numbers: [40, 46] Generated Node #0,2,1: 86:[40, 46] Operation: 32+14=46 Exploring Operation: 40-32=8, Resulting Numbers: [14, 8] Generated Node #0,2,2: 86:[14, 8] Operation: 40-32=8 Exploring Operation: 32-14=18, Resulting Numbers: [40, 18] Generated Node #0,2,3: 86:[40, 18] Operation: 32-14=18 Moving to Node #0,1 Current State: 86:[68, 82, 8], Operations: ['40-32=8'] Exploring Operation: 68+8=76, Resulting Numbers: [82, 76] Generated Node #0,1,0: 86:[82, 76] Operation: 68+8=76 Exploring Operation: 82+8=90, Resulting Numbers: [68, 90] Generated Node #0,1,1: 86:[68, 90] Operation: 82+8=90 Exploring Operation: 68-8=60, Resulting Numbers: [82, 60] Generated Node #0,1,2: 86:[82, 60] Operation: 68-8=60 Exploring Operation: 82-68=14, Resulting Numbers: [8, 14] Generated Node #0,1,3: 86:[8, 14] Operation: 82-68=14 Moving to Node #0,3,0 Current State: 86:[40, 46], Operations: ['68-32=36', '82-36=46'] Exploring Operation: 46-40=6, Resulting Numbers: [6] 6,86 unequal: No Solution Exploring Operation: 40+46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[40, 68, 32, 82], Operations: [] Exploring Operation: 68-32=36, Resulting Numbers: [40, 82, 36] Generated Node #0,3: 86:[40, 82, 36] Operation: 68-32=36 Moving to Node #0,3 Current State: 86:[40, 82, 36], Operations: ['68-32=36'] Exploring Operation: 82-36=46, Resulting Numbers: [40, 46] Generated Node #0,3,0: 86:[40, 46] Operation: 82-36=46 Moving to Node #0,3,0 Current State: 86:[40, 46], Operations: ['68-32=36', '82-36=46'] Exploring Operation: 40+46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached	0.967014	hs_4	sum_heuristic
[ 91, 27, 43, 61 ]	40	[ "91-27=64", "43+61=104", "104-64=40" ]	Current State: 40:[91, 27, 43, 61], Operations: [] Exploring Operation: 91-27=64, Resulting Numbers: [43, 61, 64] Generated Node #2: [43, 61, 64] from Operation: 91-27=64 Current State: 40:[43, 61, 64], Operations: ['91-27=64'] Exploring Operation: 43+61=104, Resulting Numbers: [64, 104] Generated Node #3: [64, 104] from Operation: 43+61=104 Current State: 40:[64, 104], Operations: ['91-27=64', '43+61=104'] Exploring Operation: 104-64=40, Resulting Numbers: [40] 40,40 equal: Goal Reached	4	Current State: 40:[91, 27, 43, 61], Operations: [] Exploring Operation: 91-43=48, Resulting Numbers: [27, 61, 48] Generated Node #0,0: 40:[27, 61, 48] Operation: 91-43=48 Exploring Operation: 91-61=30, Resulting Numbers: [27, 43, 30] Generated Node #0,1: 40:[27, 43, 30] Operation: 91-61=30 Exploring Operation: 91-27=64, Resulting Numbers: [43, 61, 64] Generated Node #0,2: 40:[43, 61, 64] Operation: 91-27=64 Start Sub Search at level 1: Moving to Node #0,1 Current State: 40:[27, 43, 30], Operations: ['91-61=30'] Exploring Operation: 43-30=13, Resulting Numbers: [27, 13] Generated Node #0,1,0: 40:[27, 13] Operation: 43-30=13 Exploring Operation: 30-27=3, Resulting Numbers: [43, 3] Generated Node #0,1,1: 40:[43, 3] Operation: 30-27=3 Exploring Operation: 43-27=16, Resulting Numbers: [30, 16] Generated Node #0,1,2: 40:[30, 16] Operation: 43-27=16 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 40:[43, 3], Operations: ['91-61=30', '30-27=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[91, 27, 43, 61], Operations: [] Exploring Operation: 91-61=30, Resulting Numbers: [27, 43, 30] Generated Node #0,1: 40:[27, 43, 30] Operation: 91-61=30 Moving to Node #0,1 Current State: 40:[27, 43, 30], Operations: ['91-61=30'] Exploring Operation: 30-27=3, Resulting Numbers: [43, 3] Generated Node #0,1,1: 40:[43, 3] Operation: 30-27=3 Moving to Node #0,1,1 Current State: 40:[43, 3], Operations: ['91-61=30', '30-27=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.990451	hs_3	mult_heuristic
[ 38, 71, 33, 19 ]	52	[ "38/19=2", "71+33=104", "104/2=52" ]	Current State: 52:[38, 71, 33, 19], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [71, 33, 2] Generated Node #2: [71, 33, 2] from Operation: 38/19=2 Current State: 52:[71, 33, 2], Operations: ['38/19=2'] Exploring Operation: 71+33=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 71+33=104 Current State: 52:[2, 104], Operations: ['38/19=2', '71+33=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached	4	Current State: 52:[38, 71, 33, 19], Operations: [] Exploring Operation: 71-38=33, Resulting Numbers: [33, 19, 33] Generated Node #0,0: 52:[33, 19, 33] Operation: 71-38=33 Exploring Operation: 71-19=52, Resulting Numbers: [38, 33, 52] Generated Node #0,1: 52:[38, 33, 52] Operation: 71-19=52 Moving to Node #0,1 Current State: 52:[38, 33, 52], Operations: ['71-19=52'] Exploring Operation: 38-33=5, Resulting Numbers: [52, 5] Generated Node #0,1,0: 52:[52, 5] Operation: 38-33=5 Exploring Operation: 52-38=14, Resulting Numbers: [33, 14] Generated Node #0,1,1: 52:[33, 14] Operation: 52-38=14 Moving to Node #0,0 Current State: 52:[33, 19, 33], Operations: ['71-38=33'] Exploring Operation: 33+19=52, Resulting Numbers: [33, 52] Generated Node #0,0,0: 52:[33, 52] Operation: 33+19=52 Exploring Operation: 33/33=1, Resulting Numbers: [19, 1] Generated Node #0,0,1: 52:[19, 1] Operation: 33/33=1 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[33, 52], Operations: ['71-38=33', '33+19=52'] Exploring Operation: 52-33=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 33+52=85, Resulting Numbers: [85] 85,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 52:[19, 1], Operations: ['71-38=33', '33/33=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,52 unequal: No Solution Exploring Operation: 19+1=20, Resulting Numbers: [20] 20,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 52:[52, 5], Operations: ['71-19=52', '38-33=5'] Exploring Operation: 52+5=57, Resulting Numbers: [57] 57,52 unequal: No Solution Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,52 unequal: No Solution Moving to Node #0,1,1 Current State: 52:[33, 14], Operations: ['71-19=52', '52-38=14'] Exploring Operation: 33+14=47, Resulting Numbers: [47] 47,52 unequal: No Solution Exploring Operation: 33-14=19, Resulting Numbers: [19] 19,52 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 53, 25, 72, 94 ]	55	[ "72-25=47", "94/47=2", "53+2=55" ]	Current State: 55:[53, 25, 72, 94], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [53, 94, 47] Generated Node #2: [53, 94, 47] from Operation: 72-25=47 Current State: 55:[53, 94, 47], Operations: ['72-25=47'] Exploring Operation: 94/47=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 94/47=2 Current State: 55:[53, 2], Operations: ['72-25=47', '94/47=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached	4	Current State: 55:[53, 25, 72, 94], Operations: [] Exploring Operation: 94-25=69, Resulting Numbers: [53, 72, 69] Generated Node #0,0: 55:[53, 72, 69] Operation: 94-25=69 Exploring Operation: 72-25=47, Resulting Numbers: [53, 94, 47] Generated Node #0,1: 55:[53, 94, 47] Operation: 72-25=47 Exploring Operation: 72-53=19, Resulting Numbers: [25, 94, 19] Generated Node #0,2: 55:[25, 94, 19] Operation: 72-53=19 Exploring Operation: 94-72=22, Resulting Numbers: [53, 25, 22] Generated Node #0,3: 55:[53, 25, 22] Operation: 94-72=22 Exploring Operation: 94-53=41, Resulting Numbers: [25, 72, 41] Generated Node #0,4: 55:[25, 72, 41] Operation: 94-53=41 Moving to Node #0,3 Current State: 55:[53, 25, 22], Operations: ['94-72=22'] Exploring Operation: 53+22=75, Resulting Numbers: [25, 75] Generated Node #0,3,0: 55:[25, 75] Operation: 53+22=75 Exploring Operation: 53+25=78, Resulting Numbers: [22, 78] Generated Node #0,3,1: 55:[22, 78] Operation: 53+25=78 Exploring Operation: 25+22=47, Resulting Numbers: [53, 47] Generated Node #0,3,2: 55:[53, 47] Operation: 25+22=47 Exploring Operation: 53-25=28, Resulting Numbers: [22, 28] Generated Node #0,3,3: 55:[22, 28] Operation: 53-25=28 Exploring Operation: 25-22=3, Resulting Numbers: [53, 3] Generated Node #0,3,4: 55:[53, 3] Operation: 25-22=3 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 55:[53, 3], Operations: ['94-72=22', '25-22=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,55 unequal: No Solution Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,55 unequal: No Solution Exploring Operation: 533=159, Resulting Numbers: [159] 159,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 55:[53, 47], Operations: ['94-72=22', '25+22=47'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,55 unequal: No Solution Exploring Operation: 5347=2491, Resulting Numbers: [2491] 2491,55 unequal: No Solution Exploring Operation: 53+47=100, Resulting Numbers: [100] 100,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 55:[22, 28], Operations: ['94-72=22', '53-25=28'] Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,55 unequal: No Solution Exploring Operation: 2228=616, Resulting Numbers: [616] 616,55 unequal: No Solution Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 55:[25, 75], Operations: ['94-72=22', '53+22=75'] Exploring Operation: 25+75=100, Resulting Numbers: [100] 100,55 unequal: No Solution Exploring Operation: 75/25=3, Resulting Numbers: [3] 3,55 unequal: No Solution Exploring Operation: 2575=1875, Resulting Numbers: [1875] 1875,55 unequal: No Solution Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 55:[22, 78], Operations: ['94-72=22', '53+25=78'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,55 unequal: No Solution Exploring Operation: 2278=1716, Resulting Numbers: [1716] 1716,55 unequal: No Solution Exploring Operation: 22+78=100, Resulting Numbers: [100] 100,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 55:[53, 72, 69], Operations: ['94-25=69'] Exploring Operation: 72-69=3, Resulting Numbers: [53, 3] Generated Node #0,0,0: 55:[53, 3] Operation: 72-69=3 Exploring Operation: 53+72=125, Resulting Numbers: [69, 125] Generated Node #0,0,1: 55:[69, 125] Operation: 53+72=125 Exploring Operation: 69-53=16, Resulting Numbers: [72, 16] Generated Node #0,0,2: 55:[72, 16] Operation: 69-53=16 Exploring Operation: 72-53=19, Resulting Numbers: [69, 19] Generated Node #0,0,3: 55:[69, 19] Operation: 72-53=19 Exploring Operation: 53+69=122, Resulting Numbers: [72, 122] Generated Node #0,0,4: 55:[72, 122] Operation: 53+69=122 Moving to Node #0,4 Current State: 55:[25, 72, 41], Operations: ['94-53=41'] Exploring Operation: 41-25=16, Resulting Numbers: [72, 16] Generated Node #0,4,0: 55:[72, 16] Operation: 41-25=16 Exploring Operation: 72-41=31, Resulting Numbers: [25, 31] Generated Node #0,4,1: 55:[25, 31] Operation: 72-41=31 Exploring Operation: 25+72=97, Resulting Numbers: [41, 97] Generated Node #0,4,2: 55:[41, 97] Operation: 25+72=97 Exploring Operation: 25+41=66, Resulting Numbers: [72, 66] Generated Node #0,4,3: 55:[72, 66] Operation: 25+41=66 Exploring Operation: 72-25=47, Resulting Numbers: [41, 47] Generated Node #0,4,4: 55:[41, 47] Operation: 72-25=47 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 55:[72, 16], Operations: ['94-53=41', '41-25=16'] Exploring Operation: 7216=1152, Resulting Numbers: [1152] 1152,55 unequal: No Solution Exploring Operation: 72+16=88, Resulting Numbers: [88] 88,55 unequal: No Solution Exploring Operation: 72-16=56, Resulting Numbers: [56] 56,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 55:[41, 47], Operations: ['94-53=41', '72-25=47'] Exploring Operation: 47-41=6, Resulting Numbers: [6] 6,55 unequal: No Solution Exploring Operation: 41+47=88, Resulting Numbers: [88] 88,55 unequal: No Solution Exploring Operation: 4147=1927, Resulting Numbers: [1927] 1927,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 55:[72, 66], Operations: ['94-53=41', '25+41=66'] Exploring Operation: 72-66=6, Resulting Numbers: [6] 6,55 unequal: No Solution Exploring Operation: 7266=4752, Resulting Numbers: [4752] 4752,55 unequal: No Solution Exploring Operation: 72+66=138, Resulting Numbers: [138] 138,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 55:[25, 31], Operations: ['94-53=41', '72-41=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,55 unequal: No Solution Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,55 unequal: No Solution Exploring Operation: 2531=775, Resulting Numbers: [775] 775,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 55:[41, 97], Operations: ['94-53=41', '25+72=97'] Exploring Operation: 41+97=138, Resulting Numbers: [138] 138,55 unequal: No Solution Exploring Operation: 97-41=56, Resulting Numbers: [56] 56,55 unequal: No Solution Exploring Operation: 4197=3977, Resulting Numbers: [3977] 3977,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 55:[53, 94, 47], Operations: ['72-25=47'] Exploring Operation: 94-47=47, Resulting Numbers: [53, 47] Generated Node #0,1,0: 55:[53, 47] Operation: 94-47=47 Exploring Operation: 94/47=2, Resulting Numbers: [53, 2] Generated Node #0,1,1: 55:[53, 2] Operation: 94/47=2 Exploring Operation: 53+47=100, Resulting Numbers: [94, 100] Generated Node #0,1,2: 55:[94, 100] Operation: 53+47=100 Exploring Operation: 53-47=6, Resulting Numbers: [94, 6] Generated Node #0,1,3: 55:[94, 6] Operation: 53-47=6 Exploring Operation: 94-53=41, Resulting Numbers: [47, 41] Generated Node #0,1,4: 55:[47, 41] Operation: 94-53=41 Moving to Node #0,2 Current State: 55:[25, 94, 19], Operations: ['72-53=19'] Exploring Operation: 25+19=44, Resulting Numbers: [94, 44] Generated Node #0,2,0: 55:[94, 44] Operation: 25+19=44 Exploring Operation: 94-25=69, Resulting Numbers: [19, 69] Generated Node #0,2,1: 55:[19, 69] Operation: 94-25=69 Exploring Operation: 25+94=119, Resulting Numbers: [19, 119] Generated Node #0,2,2: 55:[19, 119] Operation: 25+94=119 Exploring Operation: 25-19=6, Resulting Numbers: [94, 6] Generated Node #0,2,3: 55:[94, 6] Operation: 25-19=6 Exploring Operation: 94-19=75, Resulting Numbers: [25, 75] Generated Node #0,2,4: 55:[25, 75] Operation: 94-19=75 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 55:[19, 69], Operations: ['72-53=19', '94-25=69'] Exploring Operation: 1969=1311, Resulting Numbers: [1311] 1311,55 unequal: No Solution Exploring Operation: 19+69=88, Resulting Numbers: [88] 88,55 unequal: No Solution Exploring Operation: 69-19=50, Resulting Numbers: [50] 50,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 55:[25, 75], Operations: ['72-53=19', '94-19=75'] Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,55 unequal: No Solution Exploring Operation: 25+75=100, Resulting Numbers: [100] 100,55 unequal: No Solution Exploring Operation: 2575=1875, Resulting Numbers: [1875] 1875,55 unequal: No Solution Exploring Operation: 75/25=3, Resulting Numbers: [3] 3,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 55:[94, 6], Operations: ['72-53=19', '25-19=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,55 unequal: No Solution Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,55 unequal: No Solution Exploring Operation: 946=564, Resulting Numbers: [564] 564,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 55:[94, 44], Operations: ['72-53=19', '25+19=44'] Exploring Operation: 94+44=138, Resulting Numbers: [138] 138,55 unequal: No Solution Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,55 unequal: No Solution Exploring Operation: 9444=4136, Resulting Numbers: [4136] 4136,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 55:[19, 119], Operations: ['72-53=19', '25+94=119'] Exploring Operation: 19+119=138, Resulting Numbers: [138] 138,55 unequal: No Solution Exploring Operation: 119-19=100, Resulting Numbers: [100] 100,55 unequal: No Solution Exploring Operation: 19119=2261, Resulting Numbers: [2261] 2261,55 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 55:[53, 3], Operations: ['94-25=69', '72-69=3'] Exploring Operation: 533=159, Resulting Numbers: [159] 159,55 unequal: No Solution Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,55 unequal: No Solution Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,55 unequal: No Solution Moving to Node #0,1,1 Current State: 55:[53, 2], Operations: ['72-25=47', '94/47=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[53, 25, 72, 94], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [53, 94, 47] Generated Node #0,1: 55:[53, 94, 47] Operation: 72-25=47 Moving to Node #0,1 Current State: 55:[53, 94, 47], Operations: ['72-25=47'] Exploring Operation: 94/47=2, Resulting Numbers: [53, 2] Generated Node #0,1,1: 55:[53, 2] Operation: 94/47=2 Moving to Node #0,1,1 Current State: 55:[53, 2], Operations: ['72-25=47', '94/47=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached	0.926215	hs_5	mult_heuristic
[ 35, 43, 5, 69 ]	82	[ "43-35=8", "5+69=74", "8+74=82" ]	Current State: 82:[35, 43, 5, 69], Operations: [] Exploring Operation: 43-35=8, Resulting Numbers: [5, 69, 8] Generated Node #2: [5, 69, 8] from Operation: 43-35=8 Current State: 82:[5, 69, 8], Operations: ['43-35=8'] Exploring Operation: 5+69=74, Resulting Numbers: [8, 74] Generated Node #3: [8, 74] from Operation: 5+69=74 Current State: 82:[8, 74], Operations: ['43-35=8', '5+69=74'] Exploring Operation: 8+74=82, Resulting Numbers: [82] 82,82 equal: Goal Reached	4	Current State: 82:[35, 43, 5, 69], Operations: [] Exploring Operation: 5+69=74, Resulting Numbers: [35, 43, 74] Generated Node #0,0: 82:[35, 43, 74] Operation: 5+69=74 Exploring Operation: 69-35=34, Resulting Numbers: [43, 5, 34] Generated Node #0,1: 82:[43, 5, 34] Operation: 69-35=34 Exploring Operation: 35+5=40, Resulting Numbers: [43, 69, 40] Generated Node #0,2: 82:[43, 69, 40] Operation: 35+5=40 Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[43, 5, 34], Operations: ['69-35=34'] Exploring Operation: 43-5=38, Resulting Numbers: [34, 38] Generated Node #0,1,0: 82:[34, 38] Operation: 43-5=38 Exploring Operation: 43+34=77, Resulting Numbers: [5, 77] Generated Node #0,1,1: 82:[5, 77] Operation: 43+34=77 Exploring Operation: 5+34=39, Resulting Numbers: [43, 39] Generated Node #0,1,2: 82:[43, 39] Operation: 5+34=39 Moving to Node #0,1,2 Current State: 82:[43, 39], Operations: ['69-35=34', '5+34=39'] Exploring Operation: 43-39=4, Resulting Numbers: [4] 4,82 unequal: No Solution Exploring Operation: 43*39=1677, Resulting Numbers: [1677] 1677,82 unequal: No Solution Exploring Operation: 43+39=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[35, 43, 5, 69], Operations: [] Exploring Operation: 69-35=34, Resulting Numbers: [43, 5, 34] Generated Node #0,1: 82:[43, 5, 34] Operation: 69-35=34 Moving to Node #0,1 Current State: 82:[43, 5, 34], Operations: ['69-35=34'] Exploring Operation: 5+34=39, Resulting Numbers: [43, 39] Generated Node #0,1,2: 82:[43, 39] Operation: 5+34=39 Moving to Node #0,1,2 Current State: 82:[43, 39], Operations: ['69-35=34', '5+34=39'] Exploring Operation: 43+39=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1	0.988715	hs_3	mult_heuristic
[ 53, 98, 21, 85 ]	87	[ "53+98=151", "85-21=64", "151-64=87" ]	Current State: 87:[53, 98, 21, 85], Operations: [] Exploring Operation: 53+98=151, Resulting Numbers: [21, 85, 151] Generated Node #2: [21, 85, 151] from Operation: 53+98=151 Current State: 87:[21, 85, 151], Operations: ['53+98=151'] Exploring Operation: 85-21=64, Resulting Numbers: [151, 64] Generated Node #3: [151, 64] from Operation: 85-21=64 Current State: 87:[151, 64], Operations: ['53+98=151', '85-21=64'] Exploring Operation: 151-64=87, Resulting Numbers: [87] 87,87 equal: Goal Reached	4	Current State: 87:[53, 98, 21, 85], Operations: [] Exploring Operation: 53+21=74, Resulting Numbers: [98, 85, 74] Generated Node #0,0: 87:[98, 85, 74] Operation: 53+21=74 Exploring Operation: 98-53=45, Resulting Numbers: [21, 85, 45] Generated Node #0,1: 87:[21, 85, 45] Operation: 98-53=45 Exploring Operation: 85-53=32, Resulting Numbers: [98, 21, 32] Generated Node #0,2: 87:[98, 21, 32] Operation: 85-53=32 Exploring Operation: 53-21=32, Resulting Numbers: [98, 85, 32] Generated Node #0,3: 87:[98, 85, 32] Operation: 53-21=32 Exploring Operation: 98-21=77, Resulting Numbers: [53, 85, 77] Generated Node #0,4: 87:[53, 85, 77] Operation: 98-21=77 Start Sub Search at level 1: Moving to Node #0,3 Current State: 87:[98, 85, 32], Operations: ['53-21=32'] Exploring Operation: 85-32=53, Resulting Numbers: [98, 53] Generated Node #0,3,0: 87:[98, 53] Operation: 85-32=53 Exploring Operation: 98-85=13, Resulting Numbers: [32, 13] Generated Node #0,3,1: 87:[32, 13] Operation: 98-85=13 Exploring Operation: 98-32=66, Resulting Numbers: [85, 66] Generated Node #0,3,2: 87:[85, 66] Operation: 98-32=66 Exploring Operation: 85+32=117, Resulting Numbers: [98, 117] Generated Node #0,3,3: 87:[98, 117] Operation: 85+32=117 Exploring Operation: 98+32=130, Resulting Numbers: [85, 130] Generated Node #0,3,4: 87:[85, 130] Operation: 98+32=130 Moving to Node #0,3,1 Current State: 87:[32, 13], Operations: ['53-21=32', '98-85=13'] Exploring Operation: 3213=416, Resulting Numbers: [416] 416,87 unequal: No Solution Exploring Operation: 32+13=45, Resulting Numbers: [45] 45,87 unequal: No Solution Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,87 unequal: No Solution Moving to Node #0,3,2 Current State: 87:[85, 66], Operations: ['53-21=32', '98-32=66'] Exploring Operation: 85-66=19, Resulting Numbers: [19] 19,87 unequal: No Solution Exploring Operation: 8566=5610, Resulting Numbers: [5610] 5610,87 unequal: No Solution Exploring Operation: 85+66=151, Resulting Numbers: [151] 151,87 unequal: No Solution Moving to Node #0,3,0 Current State: 87:[98, 53], Operations: ['53-21=32', '85-32=53'] Exploring Operation: 98-53=45, Resulting Numbers: [45] 45,87 unequal: No Solution Exploring Operation: 9853=5194, Resulting Numbers: [5194] 5194,87 unequal: No Solution Exploring Operation: 98+53=151, Resulting Numbers: [151] 151,87 unequal: No Solution Moving to Node #0,3,3 Current State: 87:[98, 117], Operations: ['53-21=32', '85+32=117'] Exploring Operation: 98117=11466, Resulting Numbers: [11466] 11466,87 unequal: No Solution Exploring Operation: 98+117=215, Resulting Numbers: [215] 215,87 unequal: No Solution Exploring Operation: 117-98=19, Resulting Numbers: [19] 19,87 unequal: No Solution Moving to Node #0,3,4 Current State: 87:[85, 130], Operations: ['53-21=32', '98+32=130'] Exploring Operation: 85130=11050, Resulting Numbers: [11050] 11050,87 unequal: No Solution Exploring Operation: 85+130=215, Resulting Numbers: [215] 215,87 unequal: No Solution Exploring Operation: 130-85=45, Resulting Numbers: [45] 45,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 87:[98, 21, 32], Operations: ['85-53=32'] Exploring Operation: 32-21=11, Resulting Numbers: [98, 11] Generated Node #0,2,0: 87:[98, 11] Operation: 32-21=11 Exploring Operation: 21+32=53, Resulting Numbers: [98, 53] Generated Node #0,2,1: 87:[98, 53] Operation: 21+32=53 Exploring Operation: 98-32=66, Resulting Numbers: [21, 66] Generated Node #0,2,2: 87:[21, 66] Operation: 98-32=66 Exploring Operation: 98+21=119, Resulting Numbers: [32, 119] Generated Node #0,2,3: 87:[32, 119] Operation: 98+21=119 Exploring Operation: 98-21=77, Resulting Numbers: [32, 77] Generated Node #0,2,4: 87:[32, 77] Operation: 98-21=77 Moving to Node #0,2,4 Current State: 87:[32, 77], Operations: ['85-53=32', '98-21=77'] Exploring Operation: 77-32=45, Resulting Numbers: [45] 45,87 unequal: No Solution Exploring Operation: 3277=2464, Resulting Numbers: [2464] 2464,87 unequal: No Solution Exploring Operation: 32+77=109, Resulting Numbers: [109] 109,87 unequal: No Solution Moving to Node #0,2,0 Current State: 87:[98, 11], Operations: ['85-53=32', '32-21=11'] Exploring Operation: 98*11=1078, Resulting Numbers: [1078] 1078,87 unequal: No Solution Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[53, 98, 21, 85], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [98, 21, 32] Generated Node #0,2: 87:[98, 21, 32] Operation: 85-53=32 Moving to Node #0,2 Current State: 87:[98, 21, 32], Operations: ['85-53=32'] Exploring Operation: 32-21=11, Resulting Numbers: [98, 11] Generated Node #0,2,0: 87:[98, 11] Operation: 32-21=11 Moving to Node #0,2,0 Current State: 87:[98, 11], Operations: ['85-53=32', '32-21=11'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 1	0.966146	hs_5	sum_heuristic
[ 48, 30, 76, 20 ]	28	[ "76+20=96", "96/48=2", "30-2=28" ]	Current State: 28:[48, 30, 76, 20], Operations: [] Exploring Operation: 76+20=96, Resulting Numbers: [48, 30, 96] Generated Node #2: [48, 30, 96] from Operation: 76+20=96 Current State: 28:[48, 30, 96], Operations: ['76+20=96'] Exploring Operation: 96/48=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 96/48=2 Current State: 28:[30, 2], Operations: ['76+20=96', '96/48=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached	4	Current State: 28:[48, 30, 76, 20], Operations: [] Exploring Operation: 76-30=46, Resulting Numbers: [48, 20, 46] Generated Node #0,0: 28:[48, 20, 46] Operation: 76-30=46 Exploring Operation: 76-20=56, Resulting Numbers: [48, 30, 56] Generated Node #0,1: 28:[48, 30, 56] Operation: 76-20=56 Exploring Operation: 76-48=28, Resulting Numbers: [30, 20, 28] Generated Node #0,2: 28:[30, 20, 28] Operation: 76-48=28 Exploring Operation: 48-20=28, Resulting Numbers: [30, 76, 28] Generated Node #0,3: 28:[30, 76, 28] Operation: 48-20=28 Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[30, 20, 28], Operations: ['76-48=28'] Exploring Operation: 28-20=8, Resulting Numbers: [30, 8] Generated Node #0,2,0: 28:[30, 8] Operation: 28-20=8 Exploring Operation: 30-20=10, Resulting Numbers: [28, 10] Generated Node #0,2,1: 28:[28, 10] Operation: 30-20=10 Exploring Operation: 30-28=2, Resulting Numbers: [20, 2] Generated Node #0,2,2: 28:[20, 2] Operation: 30-28=2 Exploring Operation: 30+20=50, Resulting Numbers: [28, 50] Generated Node #0,2,3: 28:[28, 50] Operation: 30+20=50 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 28:[30, 8], Operations: ['76-48=28', '28-20=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,28 unequal: No Solution Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,28 unequal: No Solution Exploring Operation: 308=240, Resulting Numbers: [240] 240,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 28:[28, 10], Operations: ['76-48=28', '30-20=10'] Exploring Operation: 28-10=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 2810=280, Resulting Numbers: [280] 280,28 unequal: No Solution Exploring Operation: 28+10=38, Resulting Numbers: [38] 38,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 28:[20, 2], Operations: ['76-48=28', '30-28=2'] Exploring Operation: 202=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,28 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,28 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 28:[28, 50], Operations: ['76-48=28', '30+20=50'] Exploring Operation: 28+50=78, Resulting Numbers: [78] 78,28 unequal: No Solution Exploring Operation: 2850=1400, Resulting Numbers: [1400] 1400,28 unequal: No Solution Exploring Operation: 50-28=22, Resulting Numbers: [22] 22,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[48, 20, 46], Operations: ['76-30=46'] Exploring Operation: 48+20=68, Resulting Numbers: [46, 68] Generated Node #0,0,0: 28:[46, 68] Operation: 48+20=68 Exploring Operation: 46-20=26, Resulting Numbers: [48, 26] Generated Node #0,0,1: 28:[48, 26] Operation: 46-20=26 Exploring Operation: 48-46=2, Resulting Numbers: [20, 2] Generated Node #0,0,2: 28:[20, 2] Operation: 48-46=2 Exploring Operation: 48-20=28, Resulting Numbers: [46, 28] Generated Node #0,0,3: 28:[46, 28] Operation: 48-20=28 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 28:[20, 2], Operations: ['76-30=46', '48-46=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,28 unequal: No Solution Exploring Operation: 202=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 28:[46, 28], Operations: ['76-30=46', '48-20=28'] Exploring Operation: 46-28=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 46+28=74, Resulting Numbers: [74] 74,28 unequal: No Solution Exploring Operation: 4628=1288, Resulting Numbers: [1288] 1288,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 28:[48, 26], Operations: ['76-30=46', '46-20=26'] Exploring Operation: 48+26=74, Resulting Numbers: [74] 74,28 unequal: No Solution Exploring Operation: 48-26=22, Resulting Numbers: [22] 22,28 unequal: No Solution Exploring Operation: 4826=1248, Resulting Numbers: [1248] 1248,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 28:[46, 68], Operations: ['76-30=46', '48+20=68'] Exploring Operation: 4668=3128, Resulting Numbers: [3128] 3128,28 unequal: No Solution Exploring Operation: 68-46=22, Resulting Numbers: [22] 22,28 unequal: No Solution Exploring Operation: 46+68=114, Resulting Numbers: [114] 114,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[48, 30, 56], Operations: ['76-20=56'] Exploring Operation: 56-48=8, Resulting Numbers: [30, 8] Generated Node #0,1,0: 28:[30, 8] Operation: 56-48=8 Exploring Operation: 56-30=26, Resulting Numbers: [48, 26] Generated Node #0,1,1: 28:[48, 26] Operation: 56-30=26 Exploring Operation: 48-30=18, Resulting Numbers: [56, 18] Generated Node #0,1,2: 28:[56, 18] Operation: 48-30=18 Exploring Operation: 48+30=78, Resulting Numbers: [56, 78] Generated Node #0,1,3: 28:[56, 78] Operation: 48+30=78 Moving to Node #0,1,0 Current State: 28:[30, 8], Operations: ['76-20=56', '56-48=8'] Exploring Operation: 30+8=38, Resulting Numbers: [38] 38,28 unequal: No Solution Exploring Operation: 308=240, Resulting Numbers: [240] 240,28 unequal: No Solution Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,28 unequal: No Solution Moving to Node #0,1,1 Current State: 28:[48, 26], Operations: ['76-20=56', '56-30=26'] Exploring Operation: 4826=1248, Resulting Numbers: [1248] 1248,28 unequal: No Solution Exploring Operation: 48-26=22, Resulting Numbers: [22] 22,28 unequal: No Solution Exploring Operation: 48+26=74, Resulting Numbers: [74] 74,28 unequal: No Solution Moving to Node #0,1,2 Current State: 28:[56, 18], Operations: ['76-20=56', '48-30=18'] Exploring Operation: 56+18=74, Resulting Numbers: [74] 74,28 unequal: No Solution Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,28 unequal: No Solution Exploring Operation: 5618=1008, Resulting Numbers: [1008] 1008,28 unequal: No Solution Moving to Node #0,1,3 Current State: 28:[56, 78], Operations: ['76-20=56', '48+30=78'] Exploring Operation: 56+78=134, Resulting Numbers: [134] 134,28 unequal: No Solution Exploring Operation: 78-56=22, Resulting Numbers: [22] 22,28 unequal: No Solution Exploring Operation: 5678=4368, Resulting Numbers: [4368] 4368,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 28:[30, 76, 28], Operations: ['48-20=28'] Exploring Operation: 30-28=2, Resulting Numbers: [76, 2] Generated Node #0,3,0: 28:[76, 2] Operation: 30-28=2 Exploring Operation: 30+76=106, Resulting Numbers: [28, 106] Generated Node #0,3,1: 28:[28, 106] Operation: 30+76=106 Exploring Operation: 76-28=48, Resulting Numbers: [30, 48] Generated Node #0,3,2: 28:[30, 48] Operation: 76-28=48 Exploring Operation: 76-30=46, Resulting Numbers: [28, 46] Generated Node #0,3,3: 28:[28, 46] Operation: 76-30=46 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 28:[28, 46], Operations: ['48-20=28', '76-30=46'] Exploring Operation: 46-28=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 2846=1288, Resulting Numbers: [1288] 1288,28 unequal: No Solution Exploring Operation: 28+46=74, Resulting Numbers: [74] 74,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 28:[30, 48], Operations: ['48-20=28', '76-28=48'] Exploring Operation: 48-30=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 30+48=78, Resulting Numbers: [78] 78,28 unequal: No Solution Exploring Operation: 3048=1440, Resulting Numbers: [1440] 1440,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 28:[76, 2], Operations: ['48-20=28', '30-28=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,28 unequal: No Solution Exploring Operation: 762=152, Resulting Numbers: [152] 152,28 unequal: No Solution Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,28 unequal: No Solution Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 28:[28, 106], Operations: ['48-20=28', '30+76=106'] Exploring Operation: 28+106=134, Resulting Numbers: [134] 134,28 unequal: No Solution Exploring Operation: 28106=2968, Resulting Numbers: [2968] 2968,28 unequal: No Solution Exploring Operation: 106-28=78, Resulting Numbers: [78] 78,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_4	sum_heuristic
[ 23, 84, 27, 59 ]	93	[ "84-23=61", "59-27=32", "61+32=93" ]	Current State: 93:[23, 84, 27, 59], Operations: [] Exploring Operation: 84-23=61, Resulting Numbers: [27, 59, 61] Generated Node #2: [27, 59, 61] from Operation: 84-23=61 Current State: 93:[27, 59, 61], Operations: ['84-23=61'] Exploring Operation: 59-27=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 59-27=32 Current State: 93:[61, 32], Operations: ['84-23=61', '59-27=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached	4	Current State: 93:[23, 84, 27, 59], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [23, 27, 25] Generated Node #0,0: 93:[23, 27, 25] Operation: 84-59=25 Exploring Operation: 59-23=36, Resulting Numbers: [84, 27, 36] Generated Node #0,1: 93:[84, 27, 36] Operation: 59-23=36 Moving to Node #0,0 Current State: 93:[23, 27, 25], Operations: ['84-59=25'] Exploring Operation: 25-23=2, Resulting Numbers: [27, 2] Generated Node #0,0,0: 93:[27, 2] Operation: 25-23=2 Exploring Operation: 27-23=4, Resulting Numbers: [25, 4] Generated Node #0,0,1: 93:[25, 4] Operation: 27-23=4 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 93:[27, 2], Operations: ['84-59=25', '25-23=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,93 unequal: No Solution Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 93:[25, 4], Operations: ['84-59=25', '27-23=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,93 unequal: No Solution Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 93:[84, 27, 36], Operations: ['59-23=36'] Exploring Operation: 84-36=48, Resulting Numbers: [27, 48] Generated Node #0,1,0: 93:[27, 48] Operation: 84-36=48 Exploring Operation: 36-27=9, Resulting Numbers: [84, 9] Generated Node #0,1,1: 93:[84, 9] Operation: 36-27=9 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 93:[84, 9], Operations: ['59-23=36', '36-27=9'] Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[23, 84, 27, 59], Operations: [] Exploring Operation: 59-23=36, Resulting Numbers: [84, 27, 36] Generated Node #0,1: 93:[84, 27, 36] Operation: 59-23=36 Moving to Node #0,1 Current State: 93:[84, 27, 36], Operations: ['59-23=36'] Exploring Operation: 36-27=9, Resulting Numbers: [84, 9] Generated Node #0,1,1: 93:[84, 9] Operation: 36-27=9 Moving to Node #0,1,1 Current State: 93:[84, 9], Operations: ['59-23=36', '36-27=9'] Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 1	0.986979	hs_2	mult_heuristic
[ 85, 52, 22, 6 ]	17	[ "85-52=33", "22-6=16", "33-16=17" ]	Current State: 17:[85, 52, 22, 6], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [22, 6, 33] Generated Node #2: [22, 6, 33] from Operation: 85-52=33 Current State: 17:[22, 6, 33], Operations: ['85-52=33'] Exploring Operation: 22-6=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 22-6=16 Current State: 17:[33, 16], Operations: ['85-52=33', '22-6=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached	4	Current State: 17:[85, 52, 22, 6], Operations: [] Exploring Operation: 85-6=79, Resulting Numbers: [52, 22, 79] Generated Node #0,0: 17:[52, 22, 79] Operation: 85-6=79 Exploring Operation: 85-52=33, Resulting Numbers: [22, 6, 33] Generated Node #0,1: 17:[22, 6, 33] Operation: 85-52=33 Exploring Operation: 52-6=46, Resulting Numbers: [85, 22, 46] Generated Node #0,2: 17:[85, 22, 46] Operation: 52-6=46 Exploring Operation: 85-22=63, Resulting Numbers: [52, 6, 63] Generated Node #0,3: 17:[52, 6, 63] Operation: 85-22=63 Exploring Operation: 52-22=30, Resulting Numbers: [85, 6, 30] Generated Node #0,4: 17:[85, 6, 30] Operation: 52-22=30 Moving to Node #0,1 Current State: 17:[22, 6, 33], Operations: ['85-52=33'] Exploring Operation: 22-6=16, Resulting Numbers: [33, 16] Generated Node #0,1,0: 17:[33, 16] Operation: 22-6=16 Exploring Operation: 6+33=39, Resulting Numbers: [22, 39] Generated Node #0,1,1: 17:[22, 39] Operation: 6+33=39 Exploring Operation: 22+6=28, Resulting Numbers: [33, 28] Generated Node #0,1,2: 17:[33, 28] Operation: 22+6=28 Exploring Operation: 33-6=27, Resulting Numbers: [22, 27] Generated Node #0,1,3: 17:[22, 27] Operation: 33-6=27 Exploring Operation: 33-22=11, Resulting Numbers: [6, 11] Generated Node #0,1,4: 17:[6, 11] Operation: 33-22=11 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 17:[22, 27], Operations: ['85-52=33', '33-6=27'] Exploring Operation: 22+27=49, Resulting Numbers: [49] 49,17 unequal: No Solution Exploring Operation: 2227=594, Resulting Numbers: [594] 594,17 unequal: No Solution Exploring Operation: 27-22=5, Resulting Numbers: [5] 5,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 17:[33, 16], Operations: ['85-52=33', '22-6=16'] Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,17 unequal: No Solution Exploring Operation: 3316=528, Resulting Numbers: [528] 528,17 unequal: No Solution Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[85, 52, 22, 6], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [22, 6, 33] Generated Node #0,1: 17:[22, 6, 33] Operation: 85-52=33 Moving to Node #0,1 Current State: 17:[22, 6, 33], Operations: ['85-52=33'] Exploring Operation: 22-6=16, Resulting Numbers: [33, 16] Generated Node #0,1,0: 17:[33, 16] Operation: 22-6=16 Moving to Node #0,1,0 Current State: 17:[33, 16], Operations: ['85-52=33', '22-6=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 1	0.982639	hs_5	mult_heuristic
[ 26, 5, 37, 44 ]	99	[ "37-26=11", "5*11=55", "44+55=99" ]	Current State: 99:[26, 5, 37, 44], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [5, 44, 11] Generated Node #2: [5, 44, 11] from Operation: 37-26=11 Current State: 99:[5, 44, 11], Operations: ['37-26=11'] Exploring Operation: 511=55, Resulting Numbers: [44, 55] Generated Node #3: [44, 55] from Operation: 511=55 Current State: 99:[44, 55], Operations: ['37-26=11', '5*11=55'] Exploring Operation: 44+55=99, Resulting Numbers: [99] 99,99 equal: Goal Reached	4	Current State: 99:[26, 5, 37, 44], Operations: [] Exploring Operation: 44-5=39, Resulting Numbers: [26, 37, 39] Generated Node #0,0: 99:[26, 37, 39] Operation: 44-5=39 Exploring Operation: 37-26=11, Resulting Numbers: [5, 44, 11] Generated Node #0,1: 99:[5, 44, 11] Operation: 37-26=11 Exploring Operation: 26+5=31, Resulting Numbers: [37, 44, 31] Generated Node #0,2: 99:[37, 44, 31] Operation: 26+5=31 Exploring Operation: 44-26=18, Resulting Numbers: [5, 37, 18] Generated Node #0,3: 99:[5, 37, 18] Operation: 44-26=18 Exploring Operation: 44-37=7, Resulting Numbers: [26, 5, 7] Generated Node #0,4: 99:[26, 5, 7] Operation: 44-37=7 Start Sub Search at level 1: Moving to Node #0,4 Current State: 99:[26, 5, 7], Operations: ['44-37=7'] Exploring Operation: 26+7=33, Resulting Numbers: [5, 33] Generated Node #0,4,0: 99:[5, 33] Operation: 26+7=33 Exploring Operation: 57=35, Resulting Numbers: [26, 35] Generated Node #0,4,1: 99:[26, 35] Operation: 57=35 Exploring Operation: 7-5=2, Resulting Numbers: [26, 2] Generated Node #0,4,2: 99:[26, 2] Operation: 7-5=2 Exploring Operation: 26+5=31, Resulting Numbers: [7, 31] Generated Node #0,4,3: 99:[7, 31] Operation: 26+5=31 Exploring Operation: 5+7=12, Resulting Numbers: [26, 12] Generated Node #0,4,4: 99:[26, 12] Operation: 5+7=12 Moving to Node #0,4,0 Current State: 99:[5, 33], Operations: ['44-37=7', '26+7=33'] Exploring Operation: 533=165, Resulting Numbers: [165] 165,99 unequal: No Solution Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 5+33=38, Resulting Numbers: [38] 38,99 unequal: No Solution Moving to Node #0,4,3 Current State: 99:[7, 31], Operations: ['44-37=7', '26+5=31'] Exploring Operation: 7+31=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 731=217, Resulting Numbers: [217] 217,99 unequal: No Solution Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,99 unequal: No Solution Moving to Node #0,4,2 Current State: 99:[26, 2], Operations: ['44-37=7', '7-5=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,99 unequal: No Solution Exploring Operation: 262=52, Resulting Numbers: [52] 52,99 unequal: No Solution Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,99 unequal: No Solution Moving to Node #0,4,4 Current State: 99:[26, 12], Operations: ['44-37=7', '5+7=12'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,99 unequal: No Solution Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 2612=312, Resulting Numbers: [312] 312,99 unequal: No Solution Moving to Node #0,4,1 Current State: 99:[26, 35], Operations: ['44-37=7', '57=35'] Exploring Operation: 26+35=61, Resulting Numbers: [61] 61,99 unequal: No Solution Exploring Operation: 35-26=9, Resulting Numbers: [9] 9,99 unequal: No Solution Exploring Operation: 2635=910, Resulting Numbers: [910] 910,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 99:[5, 44, 11], Operations: ['37-26=11'] Exploring Operation: 44-11=33, Resulting Numbers: [5, 33] Generated Node #0,1,0: 99:[5, 33] Operation: 44-11=33 Exploring Operation: 44/11=4, Resulting Numbers: [5, 4] Generated Node #0,1,1: 99:[5, 4] Operation: 44/11=4 Exploring Operation: 44-5=39, Resulting Numbers: [11, 39] Generated Node #0,1,2: 99:[11, 39] Operation: 44-5=39 Exploring Operation: 11-5=6, Resulting Numbers: [44, 6] Generated Node #0,1,3: 99:[44, 6] Operation: 11-5=6 Exploring Operation: 5+44=49, Resulting Numbers: [11, 49] Generated Node #0,1,4: 99:[11, 49] Operation: 5+44=49 Moving to Node #0,1,0 Current State: 99:[5, 33], Operations: ['37-26=11', '44-11=33'] Exploring Operation: 5+33=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 533=165, Resulting Numbers: [165] 165,99 unequal: No Solution Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[5, 4], Operations: ['37-26=11', '44/11=4'] Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,99 unequal: No Solution Exploring Operation: 54=20, Resulting Numbers: [20] 20,99 unequal: No Solution Exploring Operation: 5+4=9, Resulting Numbers: [9] 9,99 unequal: No Solution Moving to Node #0,1,2 Current State: 99:[11, 39], Operations: ['37-26=11', '44-5=39'] Exploring Operation: 11+39=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 39-11=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 1139=429, Resulting Numbers: [429] 429,99 unequal: No Solution Moving to Node #0,1,3 Current State: 99:[44, 6], Operations: ['37-26=11', '11-5=6'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 446=264, Resulting Numbers: [264] 264,99 unequal: No Solution Moving to Node #0,1,4 Current State: 99:[11, 49], Operations: ['37-26=11', '5+44=49'] Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 1149=539, Resulting Numbers: [539] 539,99 unequal: No Solution Exploring Operation: 11+49=60, Resulting Numbers: [60] 60,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 99:[5, 37, 18], Operations: ['44-26=18'] Exploring Operation: 5+18=23, Resulting Numbers: [37, 23] Generated Node #0,3,0: 99:[37, 23] Operation: 5+18=23 Exploring Operation: 18-5=13, Resulting Numbers: [37, 13] Generated Node #0,3,1: 99:[37, 13] Operation: 18-5=13 Exploring Operation: 37-18=19, Resulting Numbers: [5, 19] Generated Node #0,3,2: 99:[5, 19] Operation: 37-18=19 Exploring Operation: 37-5=32, Resulting Numbers: [18, 32] Generated Node #0,3,3: 99:[18, 32] Operation: 37-5=32 Exploring Operation: 518=90, Resulting Numbers: [37, 90] Generated Node #0,3,4: 99:[37, 90] Operation: 518=90 Moving to Node #0,3,1 Current State: 99:[37, 13], Operations: ['44-26=18', '18-5=13'] Exploring Operation: 37+13=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,99 unequal: No Solution Exploring Operation: 3713=481, Resulting Numbers: [481] 481,99 unequal: No Solution Moving to Node #0,3,3 Current State: 99:[18, 32], Operations: ['44-26=18', '37-5=32'] Exploring Operation: 32-18=14, Resulting Numbers: [14] 14,99 unequal: No Solution Exploring Operation: 18+32=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 1832=576, Resulting Numbers: [576] 576,99 unequal: No Solution Moving to Node #0,3,2 Current State: 99:[5, 19], Operations: ['44-26=18', '37-18=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,99 unequal: No Solution Exploring Operation: 5+19=24, Resulting Numbers: [24] 24,99 unequal: No Solution Exploring Operation: 519=95, Resulting Numbers: [95] 95,99 unequal: No Solution Moving to Node #0,3,4 Current State: 99:[37, 90], Operations: ['44-26=18', '518=90'] Exploring Operation: 37+90=127, Resulting Numbers: [127] 127,99 unequal: No Solution Exploring Operation: 3790=3330, Resulting Numbers: [3330] 3330,99 unequal: No Solution Exploring Operation: 90-37=53, Resulting Numbers: [53] 53,99 unequal: No Solution Moving to Node #0,3,0 Current State: 99:[37, 23], Operations: ['44-26=18', '5+18=23'] Exploring Operation: 37+23=60, Resulting Numbers: [60] 60,99 unequal: No Solution Exploring Operation: 3723=851, Resulting Numbers: [851] 851,99 unequal: No Solution Exploring Operation: 37-23=14, Resulting Numbers: [14] 14,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[26, 37, 39], Operations: ['44-5=39'] Exploring Operation: 39-37=2, Resulting Numbers: [26, 2] Generated Node #0,0,0: 99:[26, 2] Operation: 39-37=2 Exploring Operation: 26+37=63, Resulting Numbers: [39, 63] Generated Node #0,0,1: 99:[39, 63] Operation: 26+37=63 Exploring Operation: 37-26=11, Resulting Numbers: [39, 11] Generated Node #0,0,2: 99:[39, 11] Operation: 37-26=11 Exploring Operation: 39-26=13, Resulting Numbers: [37, 13] Generated Node #0,0,3: 99:[37, 13] Operation: 39-26=13 Exploring Operation: 37+39=76, Resulting Numbers: [26, 76] Generated Node #0,0,4: 99:[26, 76] Operation: 37+39=76 Moving to Node #0,0,2 Current State: 99:[39, 11], Operations: ['44-5=39', '37-26=11'] Exploring Operation: 39-11=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 3911=429, Resulting Numbers: [429] 429,99 unequal: No Solution Moving to Node #0,0,3 Current State: 99:[37, 13], Operations: ['44-5=39', '39-26=13'] Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,99 unequal: No Solution Exploring Operation: 37+13=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 3713=481, Resulting Numbers: [481] 481,99 unequal: No Solution Moving to Node #0,0,0 Current State: 99:[26, 2], Operations: ['44-5=39', '39-37=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,99 unequal: No Solution Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,99 unequal: No Solution Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 262=52, Resulting Numbers: [52] 52,99 unequal: No Solution Moving to Node #0,0,4 Current State: 99:[26, 76], Operations: ['44-5=39', '37+39=76'] Exploring Operation: 76-26=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 26+76=102, Resulting Numbers: [102] 102,99 unequal: No Solution Exploring Operation: 2676=1976, Resulting Numbers: [1976] 1976,99 unequal: No Solution Moving to Node #0,0,1 Current State: 99:[39, 63], Operations: ['44-5=39', '26+37=63'] Exploring Operation: 39+63=102, Resulting Numbers: [102] 102,99 unequal: No Solution Exploring Operation: 3963=2457, Resulting Numbers: [2457] 2457,99 unequal: No Solution Exploring Operation: 63-39=24, Resulting Numbers: [24] 24,99 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 99:[37, 44, 31], Operations: ['26+5=31'] Exploring Operation: 44-37=7, Resulting Numbers: [31, 7] Generated Node #0,2,0: 99:[31, 7] Operation: 44-37=7 Exploring Operation: 44+31=75, Resulting Numbers: [37, 75] Generated Node #0,2,1: 99:[37, 75] Operation: 44+31=75 Exploring Operation: 44-31=13, Resulting Numbers: [37, 13] Generated Node #0,2,2: 99:[37, 13] Operation: 44-31=13 Exploring Operation: 37-31=6, Resulting Numbers: [44, 6] Generated Node #0,2,3: 99:[44, 6] Operation: 37-31=6 Exploring Operation: 37+44=81, Resulting Numbers: [31, 81] Generated Node #0,2,4: 99:[31, 81] Operation: 37+44=81 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 99:[31, 7], Operations: ['26+5=31', '44-37=7'] Exploring Operation: 317=217, Resulting Numbers: [217] 217,99 unequal: No Solution Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 99:[37, 13], Operations: ['26+5=31', '44-31=13'] Exploring Operation: 37+13=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,99 unequal: No Solution Exploring Operation: 3713=481, Resulting Numbers: [481] 481,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 99:[44, 6], Operations: ['26+5=31', '37-31=6'] Exploring Operation: 446=264, Resulting Numbers: [264] 264,99 unequal: No Solution Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 44+6=50, Resulting Numbers: [50] 50,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 99:[31, 81], Operations: ['26+5=31', '37+44=81'] Exploring Operation: 81-31=50, Resulting Numbers: [50] 50,99 unequal: No Solution Exploring Operation: 31+81=112, Resulting Numbers: [112] 112,99 unequal: No Solution Exploring Operation: 3181=2511, Resulting Numbers: [2511] 2511,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 99:[37, 75], Operations: ['26+5=31', '44+31=75'] Exploring Operation: 75-37=38, Resulting Numbers: [38] 38,99 unequal: No Solution Exploring Operation: 37*75=2775, Resulting Numbers: [2775] 2775,99 unequal: No Solution Exploring Operation: 37+75=112, Resulting Numbers: [112] 112,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	mult_heuristic
[ 27, 97, 11, 35 ]	46	[ "97-27=70", "35-11=24", "70-24=46" ]	Current State: 46:[27, 97, 11, 35], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [11, 35, 70] Generated Node #2: [11, 35, 70] from Operation: 97-27=70 Current State: 46:[11, 35, 70], Operations: ['97-27=70'] Exploring Operation: 35-11=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 35-11=24 Current State: 46:[70, 24], Operations: ['97-27=70', '35-11=24'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached	4	Current State: 46:[27, 97, 11, 35], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [11, 35, 70] Generated Node #0,0: 46:[11, 35, 70] Operation: 97-27=70 Exploring Operation: 97-35=62, Resulting Numbers: [27, 11, 62] Generated Node #0,1: 46:[27, 11, 62] Operation: 97-35=62 Moving to Node #0,1 Current State: 46:[27, 11, 62], Operations: ['97-35=62'] Exploring Operation: 62-27=35, Resulting Numbers: [11, 35] Generated Node #0,1,0: 46:[11, 35] Operation: 62-27=35 Exploring Operation: 62-11=51, Resulting Numbers: [27, 51] Generated Node #0,1,1: 46:[27, 51] Operation: 62-11=51 Moving to Node #0,0 Current State: 46:[11, 35, 70], Operations: ['97-27=70'] Exploring Operation: 70/35=2, Resulting Numbers: [11, 2] Generated Node #0,0,0: 46:[11, 2] Operation: 70/35=2 Exploring Operation: 70-35=35, Resulting Numbers: [11, 35] Generated Node #0,0,1: 46:[11, 35] Operation: 70-35=35 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 46:[11, 2], Operations: ['97-27=70', '70/35=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,46 unequal: No Solution Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 46:[11, 35], Operations: ['97-27=70', '70-35=35'] Exploring Operation: 35-11=24, Resulting Numbers: [24] 24,46 unequal: No Solution Exploring Operation: 11+35=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[27, 97, 11, 35], Operations: [] Exploring Operation: 97-27=70, Resulting Numbers: [11, 35, 70] Generated Node #0,0: 46:[11, 35, 70] Operation: 97-27=70 Moving to Node #0,0 Current State: 46:[11, 35, 70], Operations: ['97-27=70'] Exploring Operation: 70-35=35, Resulting Numbers: [11, 35] Generated Node #0,0,1: 46:[11, 35] Operation: 70-35=35 Moving to Node #0,0,1 Current State: 46:[11, 35], Operations: ['97-27=70', '70-35=35'] Exploring Operation: 11+35=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1	0.987847	hs_2	mult_heuristic
[ 27, 58, 10, 63 ]	77	[ "63-58=5", "10*5=50", "27+50=77" ]	Current State: 77:[27, 58, 10, 63], Operations: [] Exploring Operation: 63-58=5, Resulting Numbers: [27, 10, 5] Generated Node #2: [27, 10, 5] from Operation: 63-58=5 Current State: 77:[27, 10, 5], Operations: ['63-58=5'] Exploring Operation: 105=50, Resulting Numbers: [27, 50] Generated Node #3: [27, 50] from Operation: 105=50 Current State: 77:[27, 50], Operations: ['63-58=5', '10*5=50'] Exploring Operation: 27+50=77, Resulting Numbers: [77] 77,77 equal: Goal Reached	4	Current State: 77:[27, 58, 10, 63], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [10, 63, 85] Generated Node #0,0: 77:[10, 63, 85] Operation: 27+58=85 Exploring Operation: 63-58=5, Resulting Numbers: [27, 10, 5] Generated Node #0,1: 77:[27, 10, 5] Operation: 63-58=5 Start Sub Search at level 1: Moving to Node #0,1 Current State: 77:[27, 10, 5], Operations: ['63-58=5'] Exploring Operation: 27-5=22, Resulting Numbers: [10, 22] Generated Node #0,1,0: 77:[10, 22] Operation: 27-5=22 Exploring Operation: 27-10=17, Resulting Numbers: [5, 17] Generated Node #0,1,1: 77:[5, 17] Operation: 27-10=17 Moving to Node #0,1,1 Current State: 77:[5, 17], Operations: ['63-58=5', '27-10=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,77 unequal: No Solution Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,77 unequal: No Solution Moving to Node #0,1,0 Current State: 77:[10, 22], Operations: ['63-58=5', '27-5=22'] Exploring Operation: 10+22=32, Resulting Numbers: [32] 32,77 unequal: No Solution Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[10, 63, 85], Operations: ['27+58=85'] Exploring Operation: 10+63=73, Resulting Numbers: [85, 73] Generated Node #0,0,0: 77:[85, 73] Operation: 10+63=73 Exploring Operation: 85-63=22, Resulting Numbers: [10, 22] Generated Node #0,0,1: 77:[10, 22] Operation: 85-63=22 Moving to Node #0,0,0 Current State: 77:[85, 73], Operations: ['27+58=85', '10+63=73'] Exploring Operation: 85+73=158, Resulting Numbers: [158] 158,77 unequal: No Solution Exploring Operation: 85-73=12, Resulting Numbers: [12] 12,77 unequal: No Solution Moving to Node #0,0,1 Current State: 77:[10, 22], Operations: ['27+58=85', '85-63=22'] Exploring Operation: 10+22=32, Resulting Numbers: [32] 32,77 unequal: No Solution Exploring Operation: 22-10=12, Resulting Numbers: [12] 12,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 7, 17, 82, 64 ]	30	[ "7*82=574", "574-64=510", "510/17=30" ]	Current State: 30:[7, 17, 82, 64], Operations: [] Exploring Operation: 782=574, Resulting Numbers: [17, 64, 574] Generated Node #2: [17, 64, 574] from Operation: 782=574 Current State: 30:[17, 64, 574], Operations: ['782=574'] Exploring Operation: 574-64=510, Resulting Numbers: [17, 510] Generated Node #3: [17, 510] from Operation: 574-64=510 Current State: 30:[17, 510], Operations: ['782=574', '574-64=510'] Exploring Operation: 510/17=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	4	Current State: 30:[7, 17, 82, 64], Operations: [] Exploring Operation: 64-17=47, Resulting Numbers: [7, 82, 47] Generated Node #0,0: 30:[7, 82, 47] Operation: 64-17=47 Exploring Operation: 82-64=18, Resulting Numbers: [7, 17, 18] Generated Node #0,1: 30:[7, 17, 18] Operation: 82-64=18 Exploring Operation: 82-17=65, Resulting Numbers: [7, 64, 65] Generated Node #0,2: 30:[7, 64, 65] Operation: 82-17=65 Moving to Node #0,1 Current State: 30:[7, 17, 18], Operations: ['82-64=18'] Exploring Operation: 17-7=10, Resulting Numbers: [18, 10] Generated Node #0,1,0: 30:[18, 10] Operation: 17-7=10 Exploring Operation: 18-17=1, Resulting Numbers: [7, 1] Generated Node #0,1,1: 30:[7, 1] Operation: 18-17=1 Exploring Operation: 18-7=11, Resulting Numbers: [17, 11] Generated Node #0,1,2: 30:[17, 11] Operation: 18-7=11 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 30:[7, 1], Operations: ['82-64=18', '18-17=1'] Exploring Operation: 71=7, Resulting Numbers: [7] 7,30 unequal: No Solution Exploring Operation: 7/1=7, Resulting Numbers: [7] 7,30 unequal: No Solution Exploring Operation: 7-1=6, Resulting Numbers: [6] 6,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 30:[18, 10], Operations: ['82-64=18', '17-7=10'] Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,30 unequal: No Solution Exploring Operation: 1810=180, Resulting Numbers: [180] 180,30 unequal: No Solution Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 30:[17, 11], Operations: ['82-64=18', '18-7=11'] Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,30 unequal: No Solution Exploring Operation: 1711=187, Resulting Numbers: [187] 187,30 unequal: No Solution Exploring Operation: 17-11=6, Resulting Numbers: [6] 6,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 30:[7, 82, 47], Operations: ['64-17=47'] Exploring Operation: 82-7=75, Resulting Numbers: [47, 75] Generated Node #0,0,0: 30:[47, 75] Operation: 82-7=75 Exploring Operation: 47-7=40, Resulting Numbers: [82, 40] Generated Node #0,0,1: 30:[82, 40] Operation: 47-7=40 Exploring Operation: 82-47=35, Resulting Numbers: [7, 35] Generated Node #0,0,2: 30:[7, 35] Operation: 82-47=35 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 30:[7, 35], Operations: ['64-17=47', '82-47=35'] Exploring Operation: 7+35=42, Resulting Numbers: [42] 42,30 unequal: No Solution Exploring Operation: 35/7=5, Resulting Numbers: [5] 5,30 unequal: No Solution Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 30:[47, 75], Operations: ['64-17=47', '82-7=75'] Exploring Operation: 4775=3525, Resulting Numbers: [3525] 3525,30 unequal: No Solution Exploring Operation: 75-47=28, Resulting Numbers: [28] 28,30 unequal: No Solution Exploring Operation: 47+75=122, Resulting Numbers: [122] 122,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 30:[82, 40], Operations: ['64-17=47', '47-7=40'] Exploring Operation: 8240=3280, Resulting Numbers: [3280] 3280,30 unequal: No Solution Exploring Operation: 82+40=122, Resulting Numbers: [122] 122,30 unequal: No Solution Exploring Operation: 82-40=42, Resulting Numbers: [42] 42,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 30:[7, 64, 65], Operations: ['82-17=65'] Exploring Operation: 65-7=58, Resulting Numbers: [64, 58] Generated Node #0,2,0: 30:[64, 58] Operation: 65-7=58 Exploring Operation: 65-64=1, Resulting Numbers: [7, 1] Generated Node #0,2,1: 30:[7, 1] Operation: 65-64=1 Exploring Operation: 64-7=57, Resulting Numbers: [65, 57] Generated Node #0,2,2: 30:[65, 57] Operation: 64-7=57 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 30:[7, 1], Operations: ['82-17=65', '65-64=1'] Exploring Operation: 7/1=7, Resulting Numbers: [7] 7,30 unequal: No Solution Exploring Operation: 71=7, Resulting Numbers: [7] 7,30 unequal: No Solution Exploring Operation: 7-1=6, Resulting Numbers: [6] 6,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 30:[64, 58], Operations: ['82-17=65', '65-7=58'] Exploring Operation: 64+58=122, Resulting Numbers: [122] 122,30 unequal: No Solution Exploring Operation: 64-58=6, Resulting Numbers: [6] 6,30 unequal: No Solution Exploring Operation: 6458=3712, Resulting Numbers: [3712] 3712,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 30:[65, 57], Operations: ['82-17=65', '64-7=57'] Exploring Operation: 6557=3705, Resulting Numbers: [3705] 3705,30 unequal: No Solution Exploring Operation: 65+57=122, Resulting Numbers: [122] 122,30 unequal: No Solution Exploring Operation: 65-57=8, Resulting Numbers: [8] 8,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 85, 30, 75, 83 ]	60	[ "85-83=2", "30/2=15", "75-15=60" ]	Current State: 60:[85, 30, 75, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [30, 75, 2] Generated Node #2: [30, 75, 2] from Operation: 85-83=2 Current State: 60:[30, 75, 2], Operations: ['85-83=2'] Exploring Operation: 30/2=15, Resulting Numbers: [75, 15] Generated Node #3: [75, 15] from Operation: 30/2=15 Current State: 60:[75, 15], Operations: ['85-83=2', '30/2=15'] Exploring Operation: 75-15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached	4	Current State: 60:[85, 30, 75, 83], Operations: [] Exploring Operation: 85-75=10, Resulting Numbers: [30, 83, 10] Generated Node #0,0: 60:[30, 83, 10] Operation: 85-75=10 Exploring Operation: 85-83=2, Resulting Numbers: [30, 75, 2] Generated Node #0,1: 60:[30, 75, 2] Operation: 85-83=2 Moving to Node #0,1 Current State: 60:[30, 75, 2], Operations: ['85-83=2'] Exploring Operation: 75-2=73, Resulting Numbers: [30, 73] Generated Node #0,1,0: 60:[30, 73] Operation: 75-2=73 Exploring Operation: 75-30=45, Resulting Numbers: [2, 45] Generated Node #0,1,1: 60:[2, 45] Operation: 75-30=45 Moving to Node #0,0 Current State: 60:[30, 83, 10], Operations: ['85-75=10'] Exploring Operation: 83-30=53, Resulting Numbers: [10, 53] Generated Node #0,0,0: 60:[10, 53] Operation: 83-30=53 Exploring Operation: 83-10=73, Resulting Numbers: [30, 73] Generated Node #0,0,1: 60:[30, 73] Operation: 83-10=73 Moving to Node #0,0,0 Current State: 60:[10, 53], Operations: ['85-75=10', '83-30=53'] Exploring Operation: 10+53=63, Resulting Numbers: [63] 63,60 unequal: No Solution Exploring Operation: 53-10=43, Resulting Numbers: [43] 43,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[30, 73], Operations: ['85-83=2', '75-2=73'] Exploring Operation: 30+73=103, Resulting Numbers: [103] 103,60 unequal: No Solution Exploring Operation: 73-30=43, Resulting Numbers: [43] 43,60 unequal: No Solution Moving to Node #0,0,1 Current State: 60:[30, 73], Operations: ['85-75=10', '83-10=73'] Exploring Operation: 30+73=103, Resulting Numbers: [103] 103,60 unequal: No Solution Exploring Operation: 73-30=43, Resulting Numbers: [43] 43,60 unequal: No Solution Moving to Node #0,1,1 Current State: 60:[2, 45], Operations: ['85-83=2', '75-30=45'] Exploring Operation: 2+45=47, Resulting Numbers: [47] 47,60 unequal: No Solution Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,60 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 61, 69, 51, 60 ]	72	[ "69-61=8", "60-51=9", "8*9=72" ]	Current State: 72:[61, 69, 51, 60], Operations: [] Exploring Operation: 69-61=8, Resulting Numbers: [51, 60, 8] Generated Node #2: [51, 60, 8] from Operation: 69-61=8 Current State: 72:[51, 60, 8], Operations: ['69-61=8'] Exploring Operation: 60-51=9, Resulting Numbers: [8, 9] Generated Node #3: [8, 9] from Operation: 60-51=9 Current State: 72:[8, 9], Operations: ['69-61=8', '60-51=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached	4	Current State: 72:[61, 69, 51, 60], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [61, 69, 9] Generated Node #0,0: 72:[61, 69, 9] Operation: 60-51=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[61, 69, 9], Operations: ['60-51=9'] Exploring Operation: 69-61=8, Resulting Numbers: [9, 8] Generated Node #0,0,0: 72:[9, 8] Operation: 69-61=8 Moving to Node #0,0,0 Current State: 72:[9, 8], Operations: ['60-51=9', '69-61=8'] Exploring Operation: 98=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[61, 69, 51, 60], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [61, 69, 9] Generated Node #0,0: 72:[61, 69, 9] Operation: 60-51=9 Moving to Node #0,0 Current State: 72:[61, 69, 9], Operations: ['60-51=9'] Exploring Operation: 69-61=8, Resulting Numbers: [9, 8] Generated Node #0,0,0: 72:[9, 8] Operation: 69-61=8 Moving to Node #0,0,0 Current State: 72:[9, 8], Operations: ['60-51=9', '69-61=8'] Exploring Operation: 98=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1	0.993924	hs_1	mult_heuristic
[ 98, 14, 89, 71 ]	76	[ "98-14=84", "89+71=160", "160-84=76" ]	Current State: 76:[98, 14, 89, 71], Operations: [] Exploring Operation: 98-14=84, Resulting Numbers: [89, 71, 84] Generated Node #2: [89, 71, 84] from Operation: 98-14=84 Current State: 76:[89, 71, 84], Operations: ['98-14=84'] Exploring Operation: 89+71=160, Resulting Numbers: [84, 160] Generated Node #3: [84, 160] from Operation: 89+71=160 Current State: 76:[84, 160], Operations: ['98-14=84', '89+71=160'] Exploring Operation: 160-84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached	4	Current State: 76:[98, 14, 89, 71], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [14, 71, 9] Generated Node #0,0: 76:[14, 71, 9] Operation: 98-89=9 Exploring Operation: 98/14=7, Resulting Numbers: [89, 71, 7] Generated Node #0,1: 76:[89, 71, 7] Operation: 98/14=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 76:[14, 71, 9], Operations: ['98-89=9'] Exploring Operation: 14+9=23, Resulting Numbers: [71, 23] Generated Node #0,0,0: 76:[71, 23] Operation: 14+9=23 Exploring Operation: 14-9=5, Resulting Numbers: [71, 5] Generated Node #0,0,1: 76:[71, 5] Operation: 14-9=5 Moving to Node #0,0,1 Current State: 76:[71, 5], Operations: ['98-89=9', '14-9=5'] Exploring Operation: 71+5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached Moving to Node #0 Current State: 76:[98, 14, 89, 71], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [14, 71, 9] Generated Node #0,0: 76:[14, 71, 9] Operation: 98-89=9 Moving to Node #0,0 Current State: 76:[14, 71, 9], Operations: ['98-89=9'] Exploring Operation: 14-9=5, Resulting Numbers: [71, 5] Generated Node #0,0,1: 76:[71, 5] Operation: 14-9=5 Moving to Node #0,0,1 Current State: 76:[71, 5], Operations: ['98-89=9', '14-9=5'] Exploring Operation: 71+5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached Exit Sub Search at level 1	0.992188	hs_2	sum_heuristic
[ 89, 6, 98, 34 ]	20	[ "98-89=9", "6*9=54", "54-34=20" ]	Current State: 20:[89, 6, 98, 34], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [6, 34, 9] Generated Node #2: [6, 34, 9] from Operation: 98-89=9 Current State: 20:[6, 34, 9], Operations: ['98-89=9'] Exploring Operation: 69=54, Resulting Numbers: [34, 54] Generated Node #3: [34, 54] from Operation: 69=54 Current State: 20:[34, 54], Operations: ['98-89=9', '6*9=54'] Exploring Operation: 54-34=20, Resulting Numbers: [20] 20,20 equal: Goal Reached	4	Current State: 20:[89, 6, 98, 34], Operations: [] Exploring Operation: 98-89=9, Resulting Numbers: [6, 34, 9] Generated Node #0,0: 20:[6, 34, 9] Operation: 98-89=9 Exploring Operation: 98-34=64, Resulting Numbers: [89, 6, 64] Generated Node #0,1: 20:[89, 6, 64] Operation: 98-34=64 Exploring Operation: 89-34=55, Resulting Numbers: [6, 98, 55] Generated Node #0,2: 20:[6, 98, 55] Operation: 89-34=55 Exploring Operation: 89-6=83, Resulting Numbers: [98, 34, 83] Generated Node #0,3: 20:[98, 34, 83] Operation: 89-6=83 Moving to Node #0,0 Current State: 20:[6, 34, 9], Operations: ['98-89=9'] Exploring Operation: 34-6=28, Resulting Numbers: [9, 28] Generated Node #0,0,0: 20:[9, 28] Operation: 34-6=28 Exploring Operation: 6+9=15, Resulting Numbers: [34, 15] Generated Node #0,0,1: 20:[34, 15] Operation: 6+9=15 Exploring Operation: 34-9=25, Resulting Numbers: [6, 25] Generated Node #0,0,2: 20:[6, 25] Operation: 34-9=25 Exploring Operation: 9-6=3, Resulting Numbers: [34, 3] Generated Node #0,0,3: 20:[34, 3] Operation: 9-6=3 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 20:[6, 25], Operations: ['98-89=9', '34-9=25'] Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,20 unequal: No Solution Exploring Operation: 625=150, Resulting Numbers: [150] 150,20 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 20:[9, 28], Operations: ['98-89=9', '34-6=28'] Exploring Operation: 9+28=37, Resulting Numbers: [37] 37,20 unequal: No Solution Exploring Operation: 928=252, Resulting Numbers: [252] 252,20 unequal: No Solution Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 20:[34, 3], Operations: ['98-89=9', '9-6=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,20 unequal: No Solution Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,20 unequal: No Solution Exploring Operation: 343=102, Resulting Numbers: [102] 102,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 20:[34, 15], Operations: ['98-89=9', '6+9=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,20 unequal: No Solution Exploring Operation: 3415=510, Resulting Numbers: [510] 510,20 unequal: No Solution Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 20:[6, 98, 55], Operations: ['89-34=55'] Exploring Operation: 55-6=49, Resulting Numbers: [98, 49] Generated Node #0,2,0: 20:[98, 49] Operation: 55-6=49 Exploring Operation: 98-6=92, Resulting Numbers: [55, 92] Generated Node #0,2,1: 20:[55, 92] Operation: 98-6=92 Exploring Operation: 6+98=104, Resulting Numbers: [55, 104] Generated Node #0,2,2: 20:[55, 104] Operation: 6+98=104 Exploring Operation: 98-55=43, Resulting Numbers: [6, 43] Generated Node #0,2,3: 20:[6, 43] Operation: 98-55=43 Moving to Node #0,1 Current State: 20:[89, 6, 64], Operations: ['98-34=64'] Exploring Operation: 89-64=25, Resulting Numbers: [6, 25] Generated Node #0,1,0: 20:[6, 25] Operation: 89-64=25 Exploring Operation: 89-6=83, Resulting Numbers: [64, 83] Generated Node #0,1,1: 20:[64, 83] Operation: 89-6=83 Exploring Operation: 64-6=58, Resulting Numbers: [89, 58] Generated Node #0,1,2: 20:[89, 58] Operation: 64-6=58 Exploring Operation: 89+6=95, Resulting Numbers: [64, 95] Generated Node #0,1,3: 20:[64, 95] Operation: 89+6=95 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 20:[6, 25], Operations: ['98-34=64', '89-64=25'] Exploring Operation: 625=150, Resulting Numbers: [150] 150,20 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 20:[64, 83], Operations: ['98-34=64', '89-6=83'] Exploring Operation: 64+83=147, Resulting Numbers: [147] 147,20 unequal: No Solution Exploring Operation: 83-64=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 6483=5312, Resulting Numbers: [5312] 5312,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 20:[89, 58], Operations: ['98-34=64', '64-6=58'] Exploring Operation: 89+58=147, Resulting Numbers: [147] 147,20 unequal: No Solution Exploring Operation: 89-58=31, Resulting Numbers: [31] 31,20 unequal: No Solution Exploring Operation: 8958=5162, Resulting Numbers: [5162] 5162,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 20:[64, 95], Operations: ['98-34=64', '89+6=95'] Exploring Operation: 6495=6080, Resulting Numbers: [6080] 6080,20 unequal: No Solution Exploring Operation: 64+95=159, Resulting Numbers: [159] 159,20 unequal: No Solution Exploring Operation: 95-64=31, Resulting Numbers: [31] 31,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 20:[98, 34, 83], Operations: ['89-6=83'] Exploring Operation: 98-83=15, Resulting Numbers: [34, 15] Generated Node #0,3,0: 20:[34, 15] Operation: 98-83=15 Exploring Operation: 83-34=49, Resulting Numbers: [98, 49] Generated Node #0,3,1: 20:[98, 49] Operation: 83-34=49 Exploring Operation: 98+34=132, Resulting Numbers: [83, 132] Generated Node #0,3,2: 20:[83, 132] Operation: 98+34=132 Exploring Operation: 98-34=64, Resulting Numbers: [83, 64] Generated Node #0,3,3: 20:[83, 64] Operation: 98-34=64 Moving to Node #0,3,0 Current State: 20:[34, 15], Operations: ['89-6=83', '98-83=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,20 unequal: No Solution Exploring Operation: 3415=510, Resulting Numbers: [510] 510,20 unequal: No Solution Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,20 unequal: No Solution Moving to Node #0,2,3 Current State: 20:[6, 43], Operations: ['89-34=55', '98-55=43'] Exploring Operation: 643=258, Resulting Numbers: [258] 258,20 unequal: No Solution Exploring Operation: 6+43=49, Resulting Numbers: [49] 49,20 unequal: No Solution Exploring Operation: 43-6=37, Resulting Numbers: [37] 37,20 unequal: No Solution Moving to Node #0,2,1 Current State: 20:[55, 92], Operations: ['89-34=55', '98-6=92'] Exploring Operation: 55+92=147, Resulting Numbers: [147] 147,20 unequal: No Solution Exploring Operation: 92-55=37, Resulting Numbers: [37] 37,20 unequal: No Solution Exploring Operation: 5592=5060, Resulting Numbers: [5060] 5060,20 unequal: No Solution Moving to Node #0,3,1 Current State: 20:[98, 49], Operations: ['89-6=83', '83-34=49'] Exploring Operation: 98/49=2, Resulting Numbers: [2] 2,20 unequal: No Solution Exploring Operation: 9849=4802, Resulting Numbers: [4802] 4802,20 unequal: No Solution Exploring Operation: 98-49=49, Resulting Numbers: [49] 49,20 unequal: No Solution Exploring Operation: 98+49=147, Resulting Numbers: [147] 147,20 unequal: No Solution Moving to Node #0,3,3 Current State: 20:[83, 64], Operations: ['89-6=83', '98-34=64'] Exploring Operation: 8364=5312, Resulting Numbers: [5312] 5312,20 unequal: No Solution Exploring Operation: 83-64=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 83+64=147, Resulting Numbers: [147] 147,20 unequal: No Solution Moving to Node #0,2,0 Current State: 20:[98, 49], Operations: ['89-34=55', '55-6=49'] Exploring Operation: 98+49=147, Resulting Numbers: [147] 147,20 unequal: No Solution Exploring Operation: 9849=4802, Resulting Numbers: [4802] 4802,20 unequal: No Solution Exploring Operation: 98-49=49, Resulting Numbers: [49] 49,20 unequal: No Solution Exploring Operation: 98/49=2, Resulting Numbers: [2] 2,20 unequal: No Solution Moving to Node #0,2,2 Current State: 20:[55, 104], Operations: ['89-34=55', '6+98=104'] Exploring Operation: 55104=5720, Resulting Numbers: [5720] 5720,20 unequal: No Solution Exploring Operation: 55+104=159, Resulting Numbers: [159] 159,20 unequal: No Solution Exploring Operation: 104-55=49, Resulting Numbers: [49] 49,20 unequal: No Solution Moving to Node #0,3,2 Current State: 20:[83, 132], Operations: ['89-6=83', '98+34=132'] Exploring Operation: 132-83=49, Resulting Numbers: [49] 49,20 unequal: No Solution Exploring Operation: 83132=10956, Resulting Numbers: [10956] 10956,20 unequal: No Solution Exploring Operation: 83+132=215, Resulting Numbers: [215] 215,20 unequal: No Solution No solution found.	0	hs_4	sum_heuristic
[ 8, 26, 9, 71 ]	26	[ "89=72", "72-71=1", "261=26" ]	Current State: 26:[8, 26, 9, 71], Operations: [] Exploring Operation: 89=72, Resulting Numbers: [26, 71, 72] Generated Node #2: [26, 71, 72] from Operation: 89=72 Current State: 26:[26, 71, 72], Operations: ['89=72'] Exploring Operation: 72-71=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 72-71=1 Current State: 26:[26, 1], Operations: ['89=72', '72-71=1'] Exploring Operation: 26*1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached	4	Current State: 26:[8, 26, 9, 71], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [26, 71, 1] Generated Node #0,0: 26:[26, 71, 1] Operation: 9-8=1 Exploring Operation: 71-8=63, Resulting Numbers: [26, 9, 63] Generated Node #0,1: 26:[26, 9, 63] Operation: 71-8=63 Exploring Operation: 8+9=17, Resulting Numbers: [26, 71, 17] Generated Node #0,2: 26:[26, 71, 17] Operation: 8+9=17 Exploring Operation: 71-26=45, Resulting Numbers: [8, 9, 45] Generated Node #0,3: 26:[8, 9, 45] Operation: 71-26=45 Exploring Operation: 71-9=62, Resulting Numbers: [8, 26, 62] Generated Node #0,4: 26:[8, 26, 62] Operation: 71-9=62 Moving to Node #0,3 Current State: 26:[8, 9, 45], Operations: ['71-26=45'] Exploring Operation: 9-8=1, Resulting Numbers: [45, 1] Generated Node #0,3,0: 26:[45, 1] Operation: 9-8=1 Exploring Operation: 45/9=5, Resulting Numbers: [8, 5] Generated Node #0,3,1: 26:[8, 5] Operation: 45/9=5 Exploring Operation: 8+9=17, Resulting Numbers: [45, 17] Generated Node #0,3,2: 26:[45, 17] Operation: 8+9=17 Exploring Operation: 45-9=36, Resulting Numbers: [8, 36] Generated Node #0,3,3: 26:[8, 36] Operation: 45-9=36 Exploring Operation: 45-8=37, Resulting Numbers: [9, 37] Generated Node #0,3,4: 26:[9, 37] Operation: 45-8=37 Moving to Node #0,4 Current State: 26:[8, 26, 62], Operations: ['71-9=62'] Exploring Operation: 62-8=54, Resulting Numbers: [26, 54] Generated Node #0,4,0: 26:[26, 54] Operation: 62-8=54 Exploring Operation: 26-8=18, Resulting Numbers: [62, 18] Generated Node #0,4,1: 26:[62, 18] Operation: 26-8=18 Exploring Operation: 8+26=34, Resulting Numbers: [62, 34] Generated Node #0,4,2: 26:[62, 34] Operation: 8+26=34 Exploring Operation: 62-26=36, Resulting Numbers: [8, 36] Generated Node #0,4,3: 26:[8, 36] Operation: 62-26=36 Exploring Operation: 8+62=70, Resulting Numbers: [26, 70] Generated Node #0,4,4: 26:[26, 70] Operation: 8+62=70 Moving to Node #0,1 Current State: 26:[26, 9, 63], Operations: ['71-8=63'] Exploring Operation: 63/9=7, Resulting Numbers: [26, 7] Generated Node #0,1,0: 26:[26, 7] Operation: 63/9=7 Exploring Operation: 63-26=37, Resulting Numbers: [9, 37] Generated Node #0,1,1: 26:[9, 37] Operation: 63-26=37 Exploring Operation: 26+9=35, Resulting Numbers: [63, 35] Generated Node #0,1,2: 26:[63, 35] Operation: 26+9=35 Exploring Operation: 26-9=17, Resulting Numbers: [63, 17] Generated Node #0,1,3: 26:[63, 17] Operation: 26-9=17 Exploring Operation: 63-9=54, Resulting Numbers: [26, 54] Generated Node #0,1,4: 26:[26, 54] Operation: 63-9=54 Moving to Node #0,0 Current State: 26:[26, 71, 1], Operations: ['9-8=1'] Exploring Operation: 261=26, Resulting Numbers: [71, 26] Generated Node #0,0,0: 26:[71, 26] Operation: 261=26 Exploring Operation: 71-26=45, Resulting Numbers: [1, 45] Generated Node #0,0,1: 26:[1, 45] Operation: 71-26=45 Exploring Operation: 26/1=26, Resulting Numbers: [71, 26] Generated Node #0,0,2: 26:[71, 26] Operation: 26/1=26 Exploring Operation: 711=71, Resulting Numbers: [26, 71] Generated Node #0,0,3: 26:[26, 71] Operation: 711=71 Exploring Operation: 71-1=70, Resulting Numbers: [26, 70] Generated Node #0,0,4: 26:[26, 70] Operation: 71-1=70 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 26:[1, 45], Operations: ['9-8=1', '71-26=45'] Exploring Operation: 145=45, Resulting Numbers: [45] 45,26 unequal: No Solution Exploring Operation: 45/1=45, Resulting Numbers: [45] 45,26 unequal: No Solution Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,26 unequal: No Solution Exploring Operation: 1+45=46, Resulting Numbers: [46] 46,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 26:[26, 70], Operations: ['9-8=1', '71-1=70'] Exploring Operation: 26+70=96, Resulting Numbers: [96] 96,26 unequal: No Solution Exploring Operation: 2670=1820, Resulting Numbers: [1820] 1820,26 unequal: No Solution Exploring Operation: 70-26=44, Resulting Numbers: [44] 44,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 26:[71, 26], Operations: ['9-8=1', '261=26'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,26 unequal: No Solution Exploring Operation: 71+26=97, Resulting Numbers: [97] 97,26 unequal: No Solution Exploring Operation: 7126=1846, Resulting Numbers: [1846] 1846,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 26:[71, 26], Operations: ['9-8=1', '26/1=26'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,26 unequal: No Solution Exploring Operation: 7126=1846, Resulting Numbers: [1846] 1846,26 unequal: No Solution Exploring Operation: 71+26=97, Resulting Numbers: [97] 97,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 26:[26, 71], Operations: ['9-8=1', '711=71'] Exploring Operation: 2671=1846, Resulting Numbers: [1846] 1846,26 unequal: No Solution Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,26 unequal: No Solution Exploring Operation: 26+71=97, Resulting Numbers: [97] 97,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 26:[26, 71, 17], Operations: ['8+9=17'] Exploring Operation: 26-17=9, Resulting Numbers: [71, 9] Generated Node #0,2,0: 26:[71, 9] Operation: 26-17=9 Exploring Operation: 71-17=54, Resulting Numbers: [26, 54] Generated Node #0,2,1: 26:[26, 54] Operation: 71-17=54 Exploring Operation: 71+17=88, Resulting Numbers: [26, 88] Generated Node #0,2,2: 26:[26, 88] Operation: 71+17=88 Exploring Operation: 71-26=45, Resulting Numbers: [17, 45] Generated Node #0,2,3: 26:[17, 45] Operation: 71-26=45 Exploring Operation: 26+17=43, Resulting Numbers: [71, 43] Generated Node #0,2,4: 26:[71, 43] Operation: 26+17=43 Moving to Node #0,1,0 Current State: 26:[26, 7], Operations: ['71-8=63', '63/9=7'] Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,26 unequal: No Solution Exploring Operation: 267=182, Resulting Numbers: [182] 182,26 unequal: No Solution Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,26 unequal: No Solution Moving to Node #0,3,1 Current State: 26:[8, 5], Operations: ['71-26=45', '45/9=5'] Exploring Operation: 85=40, Resulting Numbers: [40] 40,26 unequal: No Solution Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,26 unequal: No Solution Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,26 unequal: No Solution Moving to Node #0,3,4 Current State: 26:[9, 37], Operations: ['71-26=45', '45-8=37'] Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,26 unequal: No Solution Exploring Operation: 937=333, Resulting Numbers: [333] 333,26 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,26 unequal: No Solution Moving to Node #0,4,3 Current State: 26:[8, 36], Operations: ['71-9=62', '62-26=36'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 836=288, Resulting Numbers: [288] 288,26 unequal: No Solution Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,26 unequal: No Solution Moving to Node #0,1,1 Current State: 26:[9, 37], Operations: ['71-8=63', '63-26=37'] Exploring Operation: 9+37=46, Resulting Numbers: [46] 46,26 unequal: No Solution Exploring Operation: 937=333, Resulting Numbers: [333] 333,26 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,26 unequal: No Solution Moving to Node #0,3,3 Current State: 26:[8, 36], Operations: ['71-26=45', '45-9=36'] Exploring Operation: 836=288, Resulting Numbers: [288] 288,26 unequal: No Solution Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,26 unequal: No Solution Moving to Node #0,3,0 Current State: 26:[45, 1], Operations: ['71-26=45', '9-8=1'] Exploring Operation: 45/1=45, Resulting Numbers: [45] 45,26 unequal: No Solution Exploring Operation: 45-1=44, Resulting Numbers: [44] 44,26 unequal: No Solution Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,26 unequal: No Solution Exploring Operation: 451=45, Resulting Numbers: [45] 45,26 unequal: No Solution Moving to Node #0,3,2 Current State: 26:[45, 17], Operations: ['71-26=45', '8+9=17'] Exploring Operation: 45+17=62, Resulting Numbers: [62] 62,26 unequal: No Solution Exploring Operation: 45-17=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 4517=765, Resulting Numbers: [765] 765,26 unequal: No Solution Moving to Node #0,2,3 Current State: 26:[17, 45], Operations: ['8+9=17', '71-26=45'] Exploring Operation: 1745=765, Resulting Numbers: [765] 765,26 unequal: No Solution Exploring Operation: 45-17=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 17+45=62, Resulting Numbers: [62] 62,26 unequal: No Solution Moving to Node #0,4,0 Current State: 26:[26, 54], Operations: ['71-9=62', '62-8=54'] Exploring Operation: 26+54=80, Resulting Numbers: [80] 80,26 unequal: No Solution Exploring Operation: 2654=1404, Resulting Numbers: [1404] 1404,26 unequal: No Solution Exploring Operation: 54-26=28, Resulting Numbers: [28] 28,26 unequal: No Solution Moving to Node #0,2,1 Current State: 26:[26, 54], Operations: ['8+9=17', '71-17=54'] Exploring Operation: 54-26=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 26+54=80, Resulting Numbers: [80] 80,26 unequal: No Solution Exploring Operation: 2654=1404, Resulting Numbers: [1404] 1404,26 unequal: No Solution Moving to Node #0,1,4 Current State: 26:[26, 54], Operations: ['71-8=63', '63-9=54'] Exploring Operation: 54-26=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 26+54=80, Resulting Numbers: [80] 80,26 unequal: No Solution Exploring Operation: 2654=1404, Resulting Numbers: [1404] 1404,26 unequal: No Solution Moving to Node #0,4,1 Current State: 26:[62, 18], Operations: ['71-9=62', '26-8=18'] Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,26 unequal: No Solution Exploring Operation: 6218=1116, Resulting Numbers: [1116] 1116,26 unequal: No Solution Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,26 unequal: No Solution Moving to Node #0,1,3 Current State: 26:[63, 17], Operations: ['71-8=63', '26-9=17'] Exploring Operation: 6317=1071, Resulting Numbers: [1071] 1071,26 unequal: No Solution Exploring Operation: 63-17=46, Resulting Numbers: [46] 46,26 unequal: No Solution Exploring Operation: 63+17=80, Resulting Numbers: [80] 80,26 unequal: No Solution Moving to Node #0,4,4 Current State: 26:[26, 70], Operations: ['71-9=62', '8+62=70'] Exploring Operation: 2670=1820, Resulting Numbers: [1820] 1820,26 unequal: No Solution Exploring Operation: 26+70=96, Resulting Numbers: [96] 96,26 unequal: No Solution Exploring Operation: 70-26=44, Resulting Numbers: [44] 44,26 unequal: No Solution Moving to Node #0,4,2 Current State: 26:[62, 34], Operations: ['71-9=62', '8+26=34'] Exploring Operation: 62-34=28, Resulting Numbers: [28] 28,26 unequal: No Solution Exploring Operation: 6234=2108, Resulting Numbers: [2108] 2108,26 unequal: No Solution Exploring Operation: 62+34=96, Resulting Numbers: [96] 96,26 unequal: No Solution Moving to Node #0,1,2 Current State: 26:[63, 35], Operations: ['71-8=63', '26+9=35'] Exploring Operation: 6335=2205, Resulting Numbers: [2205] 2205,26 unequal: No Solution Exploring Operation: 63+35=98, Resulting Numbers: [98] 98,26 unequal: No Solution Exploring Operation: 63-35=28, Resulting Numbers: [28] 28,26 unequal: No Solution Moving to Node #0,2,0 Current State: 26:[71, 9], Operations: ['8+9=17', '26-17=9'] Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,26 unequal: No Solution Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,26 unequal: No Solution Exploring Operation: 719=639, Resulting Numbers: [639] 639,26 unequal: No Solution Moving to Node #0,2,2 Current State: 26:[26, 88], Operations: ['8+9=17', '71+17=88'] Exploring Operation: 26+88=114, Resulting Numbers: [114] 114,26 unequal: No Solution Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,26 unequal: No Solution Exploring Operation: 2688=2288, Resulting Numbers: [2288] 2288,26 unequal: No Solution Moving to Node #0,2,4 Current State: 26:[71, 43], Operations: ['8+9=17', '26+17=43'] Exploring Operation: 71+43=114, Resulting Numbers: [114] 114,26 unequal: No Solution Exploring Operation: 71*43=3053, Resulting Numbers: [3053] 3053,26 unequal: No Solution Exploring Operation: 71-43=28, Resulting Numbers: [28] 28,26 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 96, 8, 9, 75 ]	51	[ "96-75=21", "8*9=72", "72-21=51" ]	Current State: 51:[96, 8, 9, 75], Operations: [] Exploring Operation: 96-75=21, Resulting Numbers: [8, 9, 21] Generated Node #2: [8, 9, 21] from Operation: 96-75=21 Current State: 51:[8, 9, 21], Operations: ['96-75=21'] Exploring Operation: 89=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 89=72 Current State: 51:[21, 72], Operations: ['96-75=21', '8*9=72'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached	4	Current State: 51:[96, 8, 9, 75], Operations: [] Exploring Operation: 96-8=88, Resulting Numbers: [9, 75, 88] Generated Node #0,0: 51:[9, 75, 88] Operation: 96-8=88 Exploring Operation: 96/8=12, Resulting Numbers: [9, 75, 12] Generated Node #0,1: 51:[9, 75, 12] Operation: 96/8=12 Exploring Operation: 96-75=21, Resulting Numbers: [8, 9, 21] Generated Node #0,2: 51:[8, 9, 21] Operation: 96-75=21 Exploring Operation: 96-9=87, Resulting Numbers: [8, 75, 87] Generated Node #0,3: 51:[8, 75, 87] Operation: 96-9=87 Exploring Operation: 75-9=66, Resulting Numbers: [96, 8, 66] Generated Node #0,4: 51:[96, 8, 66] Operation: 75-9=66 Start Sub Search at level 1: Moving to Node #0,2 Current State: 51:[8, 9, 21], Operations: ['96-75=21'] Exploring Operation: 21-9=12, Resulting Numbers: [8, 12] Generated Node #0,2,0: 51:[8, 12] Operation: 21-9=12 Exploring Operation: 9-8=1, Resulting Numbers: [21, 1] Generated Node #0,2,1: 51:[21, 1] Operation: 9-8=1 Exploring Operation: 8+21=29, Resulting Numbers: [9, 29] Generated Node #0,2,2: 51:[9, 29] Operation: 8+21=29 Exploring Operation: 8+9=17, Resulting Numbers: [21, 17] Generated Node #0,2,3: 51:[21, 17] Operation: 8+9=17 Exploring Operation: 21-8=13, Resulting Numbers: [9, 13] Generated Node #0,2,4: 51:[9, 13] Operation: 21-8=13 Moving to Node #0,2,3 Current State: 51:[21, 17], Operations: ['96-75=21', '8+9=17'] Exploring Operation: 21-17=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 21+17=38, Resulting Numbers: [38] 38,51 unequal: No Solution Exploring Operation: 2117=357, Resulting Numbers: [357] 357,51 unequal: No Solution Moving to Node #0,2,1 Current State: 51:[21, 1], Operations: ['96-75=21', '9-8=1'] Exploring Operation: 21+1=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 21/1=21, Resulting Numbers: [21] 21,51 unequal: No Solution Exploring Operation: 211=21, Resulting Numbers: [21] 21,51 unequal: No Solution Moving to Node #0,2,0 Current State: 51:[8, 12], Operations: ['96-75=21', '21-9=12'] Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 812=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 8+12=20, Resulting Numbers: [20] 20,51 unequal: No Solution Moving to Node #0,2,4 Current State: 51:[9, 13], Operations: ['96-75=21', '21-8=13'] Exploring Operation: 913=117, Resulting Numbers: [117] 117,51 unequal: No Solution Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,51 unequal: No Solution Moving to Node #0,2,2 Current State: 51:[9, 29], Operations: ['96-75=21', '8+21=29'] Exploring Operation: 29-9=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 929=261, Resulting Numbers: [261] 261,51 unequal: No Solution Exploring Operation: 9+29=38, Resulting Numbers: [38] 38,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 51:[9, 75, 12], Operations: ['96/8=12'] Exploring Operation: 75-12=63, Resulting Numbers: [9, 63] Generated Node #0,1,0: 51:[9, 63] Operation: 75-12=63 Exploring Operation: 9+12=21, Resulting Numbers: [75, 21] Generated Node #0,1,1: 51:[75, 21] Operation: 9+12=21 Exploring Operation: 9+75=84, Resulting Numbers: [12, 84] Generated Node #0,1,2: 51:[12, 84] Operation: 9+75=84 Exploring Operation: 12-9=3, Resulting Numbers: [75, 3] Generated Node #0,1,3: 51:[75, 3] Operation: 12-9=3 Exploring Operation: 75-9=66, Resulting Numbers: [12, 66] Generated Node #0,1,4: 51:[12, 66] Operation: 75-9=66 Moving to Node #0,1,0 Current State: 51:[9, 63], Operations: ['96/8=12', '75-12=63'] Exploring Operation: 9+63=72, Resulting Numbers: [72] 72,51 unequal: No Solution Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,51 unequal: No Solution Exploring Operation: 63/9=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 963=567, Resulting Numbers: [567] 567,51 unequal: No Solution Moving to Node #0,1,4 Current State: 51:[12, 66], Operations: ['96/8=12', '75-9=66'] Exploring Operation: 66-12=54, Resulting Numbers: [54] 54,51 unequal: No Solution Exploring Operation: 1266=792, Resulting Numbers: [792] 792,51 unequal: No Solution Exploring Operation: 12+66=78, Resulting Numbers: [78] 78,51 unequal: No Solution Moving to Node #0,1,3 Current State: 51:[75, 3], Operations: ['96/8=12', '12-9=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,51 unequal: No Solution Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,51 unequal: No Solution Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,51 unequal: No Solution Exploring Operation: 753=225, Resulting Numbers: [225] 225,51 unequal: No Solution Moving to Node #0,1,1 Current State: 51:[75, 21], Operations: ['96/8=12', '9+12=21'] Exploring Operation: 75+21=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 75-21=54, Resulting Numbers: [54] 54,51 unequal: No Solution Exploring Operation: 7521=1575, Resulting Numbers: [1575] 1575,51 unequal: No Solution Moving to Node #0,1,2 Current State: 51:[12, 84], Operations: ['96/8=12', '9+75=84'] Exploring Operation: 84/12=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 1284=1008, Resulting Numbers: [1008] 1008,51 unequal: No Solution Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 51:[8, 75, 87], Operations: ['96-9=87'] Exploring Operation: 8+87=95, Resulting Numbers: [75, 95] Generated Node #0,3,0: 51:[75, 95] Operation: 8+87=95 Exploring Operation: 87-8=79, Resulting Numbers: [75, 79] Generated Node #0,3,1: 51:[75, 79] Operation: 87-8=79 Exploring Operation: 75-8=67, Resulting Numbers: [87, 67] Generated Node #0,3,2: 51:[87, 67] Operation: 75-8=67 Exploring Operation: 8+75=83, Resulting Numbers: [87, 83] Generated Node #0,3,3: 51:[87, 83] Operation: 8+75=83 Exploring Operation: 87-75=12, Resulting Numbers: [8, 12] Generated Node #0,3,4: 51:[8, 12] Operation: 87-75=12 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 51:[8, 12], Operations: ['96-9=87', '87-75=12'] Exploring Operation: 812=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 8+12=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 51:[75, 79], Operations: ['96-9=87', '87-8=79'] Exploring Operation: 79-75=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 7579=5925, Resulting Numbers: [5925] 5925,51 unequal: No Solution Exploring Operation: 75+79=154, Resulting Numbers: [154] 154,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 51:[87, 67], Operations: ['96-9=87', '75-8=67'] Exploring Operation: 87-67=20, Resulting Numbers: [20] 20,51 unequal: No Solution Exploring Operation: 87+67=154, Resulting Numbers: [154] 154,51 unequal: No Solution Exploring Operation: 8767=5829, Resulting Numbers: [5829] 5829,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 51:[75, 95], Operations: ['96-9=87', '8+87=95'] Exploring Operation: 7595=7125, Resulting Numbers: [7125] 7125,51 unequal: No Solution Exploring Operation: 75+95=170, Resulting Numbers: [170] 170,51 unequal: No Solution Exploring Operation: 95-75=20, Resulting Numbers: [20] 20,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 51:[87, 83], Operations: ['96-9=87', '8+75=83'] Exploring Operation: 8783=7221, Resulting Numbers: [7221] 7221,51 unequal: No Solution Exploring Operation: 87-83=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 87+83=170, Resulting Numbers: [170] 170,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 51:[96, 8, 66], Operations: ['75-9=66'] Exploring Operation: 96-8=88, Resulting Numbers: [66, 88] Generated Node #0,4,0: 51:[66, 88] Operation: 96-8=88 Exploring Operation: 96/8=12, Resulting Numbers: [66, 12] Generated Node #0,4,1: 51:[66, 12] Operation: 96/8=12 Exploring Operation: 96-66=30, Resulting Numbers: [8, 30] Generated Node #0,4,2: 51:[8, 30] Operation: 96-66=30 Exploring Operation: 96+8=104, Resulting Numbers: [66, 104] Generated Node #0,4,3: 51:[66, 104] Operation: 96+8=104 Exploring Operation: 66-8=58, Resulting Numbers: [96, 58] Generated Node #0,4,4: 51:[96, 58] Operation: 66-8=58 Moving to Node #0,4,2 Current State: 51:[8, 30], Operations: ['75-9=66', '96-66=30'] Exploring Operation: 8+30=38, Resulting Numbers: [38] 38,51 unequal: No Solution Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 830=240, Resulting Numbers: [240] 240,51 unequal: No Solution Moving to Node #0,4,1 Current State: 51:[66, 12], Operations: ['75-9=66', '96/8=12'] Exploring Operation: 66-12=54, Resulting Numbers: [54] 54,51 unequal: No Solution Exploring Operation: 66+12=78, Resulting Numbers: [78] 78,51 unequal: No Solution Exploring Operation: 6612=792, Resulting Numbers: [792] 792,51 unequal: No Solution Moving to Node #0,4,0 Current State: 51:[66, 88], Operations: ['75-9=66', '96-8=88'] Exploring Operation: 66+88=154, Resulting Numbers: [154] 154,51 unequal: No Solution Exploring Operation: 88-66=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 6688=5808, Resulting Numbers: [5808] 5808,51 unequal: No Solution Moving to Node #0,4,4 Current State: 51:[96, 58], Operations: ['75-9=66', '66-8=58'] Exploring Operation: 9658=5568, Resulting Numbers: [5568] 5568,51 unequal: No Solution Exploring Operation: 96+58=154, Resulting Numbers: [154] 154,51 unequal: No Solution Exploring Operation: 96-58=38, Resulting Numbers: [38] 38,51 unequal: No Solution Moving to Node #0,4,3 Current State: 51:[66, 104], Operations: ['75-9=66', '96+8=104'] Exploring Operation: 66104=6864, Resulting Numbers: [6864] 6864,51 unequal: No Solution Exploring Operation: 66+104=170, Resulting Numbers: [170] 170,51 unequal: No Solution Exploring Operation: 104-66=38, Resulting Numbers: [38] 38,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[9, 75, 88], Operations: ['96-8=88'] Exploring Operation: 88-9=79, Resulting Numbers: [75, 79] Generated Node #0,0,0: 51:[75, 79] Operation: 88-9=79 Exploring Operation: 75-9=66, Resulting Numbers: [88, 66] Generated Node #0,0,1: 51:[88, 66] Operation: 75-9=66 Exploring Operation: 9+75=84, Resulting Numbers: [88, 84] Generated Node #0,0,2: 51:[88, 84] Operation: 9+75=84 Exploring Operation: 88-75=13, Resulting Numbers: [9, 13] Generated Node #0,0,3: 51:[9, 13] Operation: 88-75=13 Exploring Operation: 9+88=97, Resulting Numbers: [75, 97] Generated Node #0,0,4: 51:[75, 97] Operation: 9+88=97 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 51:[9, 13], Operations: ['96-8=88', '88-75=13'] Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,51 unequal: No Solution Exploring Operation: 913=117, Resulting Numbers: [117] 117,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 51:[75, 79], Operations: ['96-8=88', '88-9=79'] Exploring Operation: 7579=5925, Resulting Numbers: [5925] 5925,51 unequal: No Solution Exploring Operation: 75+79=154, Resulting Numbers: [154] 154,51 unequal: No Solution Exploring Operation: 79-75=4, Resulting Numbers: [4] 4,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 51:[88, 66], Operations: ['96-8=88', '75-9=66'] Exploring Operation: 88+66=154, Resulting Numbers: [154] 154,51 unequal: No Solution Exploring Operation: 8866=5808, Resulting Numbers: [5808] 5808,51 unequal: No Solution Exploring Operation: 88-66=22, Resulting Numbers: [22] 22,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 51:[88, 84], Operations: ['96-8=88', '9+75=84'] Exploring Operation: 88-84=4, Resulting Numbers: [4] 4,51 unequal: No Solution Exploring Operation: 88+84=172, Resulting Numbers: [172] 172,51 unequal: No Solution Exploring Operation: 8884=7392, Resulting Numbers: [7392] 7392,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 51:[75, 97], Operations: ['96-8=88', '9+88=97'] Exploring Operation: 75*97=7275, Resulting Numbers: [7275] 7275,51 unequal: No Solution Exploring Operation: 75+97=172, Resulting Numbers: [172] 172,51 unequal: No Solution Exploring Operation: 97-75=22, Resulting Numbers: [22] 22,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	sum_heuristic
[ 8, 96, 5, 88 ]	17	[ "88/8=11", "96-11=85", "85/5=17" ]	Current State: 17:[8, 96, 5, 88], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [96, 5, 11] Generated Node #2: [96, 5, 11] from Operation: 88/8=11 Current State: 17:[96, 5, 11], Operations: ['88/8=11'] Exploring Operation: 96-11=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 96-11=85 Current State: 17:[5, 85], Operations: ['88/8=11', '96-11=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached	4	Current State: 17:[8, 96, 5, 88], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [8, 5, 8] Generated Node #0,0: 17:[8, 5, 8] Operation: 96-88=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[8, 5, 8], Operations: ['96-88=8'] Exploring Operation: 8+5=13, Resulting Numbers: [8, 13] Generated Node #0,0,0: 17:[8, 13] Operation: 8+5=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 17:[8, 13], Operations: ['96-88=8', '8+5=13'] Exploring Operation: 8+13=21, Resulting Numbers: [21] 21,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 15, 4, 29, 33 ]	89	[ "29-15=14", "4*14=56", "33+56=89" ]	Current State: 89:[15, 4, 29, 33], Operations: [] Exploring Operation: 29-15=14, Resulting Numbers: [4, 33, 14] Generated Node #2: [4, 33, 14] from Operation: 29-15=14 Current State: 89:[4, 33, 14], Operations: ['29-15=14'] Exploring Operation: 414=56, Resulting Numbers: [33, 56] Generated Node #3: [33, 56] from Operation: 414=56 Current State: 89:[33, 56], Operations: ['29-15=14', '4*14=56'] Exploring Operation: 33+56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached	4	Current State: 89:[15, 4, 29, 33], Operations: [] Exploring Operation: 429=116, Resulting Numbers: [15, 33, 116] Generated Node #0,0: 89:[15, 33, 116] Operation: 429=116 Exploring Operation: 433=132, Resulting Numbers: [15, 29, 132] Generated Node #0,1: 89:[15, 29, 132] Operation: 433=132 Exploring Operation: 154=60, Resulting Numbers: [29, 33, 60] Generated Node #0,2: 89:[29, 33, 60] Operation: 154=60 Moving to Node #0,2 Current State: 89:[29, 33, 60], Operations: ['154=60'] Exploring Operation: 33+60=93, Resulting Numbers: [29, 93] Generated Node #0,2,0: 89:[29, 93] Operation: 33+60=93 Exploring Operation: 29+60=89, Resulting Numbers: [33, 89] Generated Node #0,2,1: 89:[33, 89] Operation: 29+60=89 Exploring Operation: 29+33=62, Resulting Numbers: [60, 62] Generated Node #0,2,2: 89:[60, 62] Operation: 29+33=62 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 89:[33, 89], Operations: ['154=60', '29+60=89'] Exploring Operation: 89-33=56, Resulting Numbers: [56] 56,89 unequal: No Solution Exploring Operation: 33+89=122, Resulting Numbers: [122] 122,89 unequal: No Solution Exploring Operation: 3389=2937, Resulting Numbers: [2937] 2937,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 89:[60, 62], Operations: ['154=60', '29+33=62'] Exploring Operation: 6062=3720, Resulting Numbers: [3720] 3720,89 unequal: No Solution Exploring Operation: 62-60=2, Resulting Numbers: [2] 2,89 unequal: No Solution Exploring Operation: 60+62=122, Resulting Numbers: [122] 122,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 89:[29, 93], Operations: ['154=60', '33+60=93'] Exploring Operation: 93-29=64, Resulting Numbers: [64] 64,89 unequal: No Solution Exploring Operation: 2993=2697, Resulting Numbers: [2697] 2697,89 unequal: No Solution Exploring Operation: 29+93=122, Resulting Numbers: [122] 122,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 89:[15, 33, 116], Operations: ['429=116'] Exploring Operation: 116-15=101, Resulting Numbers: [33, 101] Generated Node #0,0,0: 89:[33, 101] Operation: 116-15=101 Exploring Operation: 15+33=48, Resulting Numbers: [116, 48] Generated Node #0,0,1: 89:[116, 48] Operation: 15+33=48 Exploring Operation: 116-33=83, Resulting Numbers: [15, 83] Generated Node #0,0,2: 89:[15, 83] Operation: 116-33=83 Moving to Node #0,1 Current State: 89:[15, 29, 132], Operations: ['433=132'] Exploring Operation: 132-15=117, Resulting Numbers: [29, 117] Generated Node #0,1,0: 89:[29, 117] Operation: 132-15=117 Exploring Operation: 132-29=103, Resulting Numbers: [15, 103] Generated Node #0,1,1: 89:[15, 103] Operation: 132-29=103 Exploring Operation: 15+29=44, Resulting Numbers: [132, 44] Generated Node #0,1,2: 89:[132, 44] Operation: 15+29=44 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 89:[29, 117], Operations: ['433=132', '132-15=117'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,89 unequal: No Solution Exploring Operation: 29+117=146, Resulting Numbers: [146] 146,89 unequal: No Solution Exploring Operation: 29117=3393, Resulting Numbers: [3393] 3393,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 89:[15, 103], Operations: ['433=132', '132-29=103'] Exploring Operation: 103-15=88, Resulting Numbers: [88] 88,89 unequal: No Solution Exploring Operation: 15103=1545, Resulting Numbers: [1545] 1545,89 unequal: No Solution Exploring Operation: 15+103=118, Resulting Numbers: [118] 118,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 89:[132, 44], Operations: ['433=132', '15+29=44'] Exploring Operation: 132/44=3, Resulting Numbers: [3] 3,89 unequal: No Solution Exploring Operation: 132-44=88, Resulting Numbers: [88] 88,89 unequal: No Solution Exploring Operation: 132+44=176, Resulting Numbers: [176] 176,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 89:[33, 101], Operations: ['429=116', '116-15=101'] Exploring Operation: 33101=3333, Resulting Numbers: [3333] 3333,89 unequal: No Solution Exploring Operation: 33+101=134, Resulting Numbers: [134] 134,89 unequal: No Solution Exploring Operation: 101-33=68, Resulting Numbers: [68] 68,89 unequal: No Solution Moving to Node #0,0,1 Current State: 89:[116, 48], Operations: ['429=116', '15+33=48'] Exploring Operation: 116+48=164, Resulting Numbers: [164] 164,89 unequal: No Solution Exploring Operation: 116-48=68, Resulting Numbers: [68] 68,89 unequal: No Solution Exploring Operation: 11648=5568, Resulting Numbers: [5568] 5568,89 unequal: No Solution Moving to Node #0,0,2 Current State: 89:[15, 83], Operations: ['429=116', '116-33=83'] Exploring Operation: 83-15=68, Resulting Numbers: [68] 68,89 unequal: No Solution Exploring Operation: 15+83=98, Resulting Numbers: [98] 98,89 unequal: No Solution Exploring Operation: 1583=1245, Resulting Numbers: [1245] 1245,89 unequal: No Solution No solution found.	0	hs_3	sum_heuristic
[ 70, 94, 35, 20 ]	57	[ "70/35=2", "94+20=114", "114/2=57" ]	Current State: 57:[70, 94, 35, 20], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [94, 20, 2] Generated Node #2: [94, 20, 2] from Operation: 70/35=2 Current State: 57:[94, 20, 2], Operations: ['70/35=2'] Exploring Operation: 94+20=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 94+20=114 Current State: 57:[2, 114], Operations: ['70/35=2', '94+20=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached	4	Current State: 57:[70, 94, 35, 20], Operations: [] Exploring Operation: 94-35=59, Resulting Numbers: [70, 20, 59] Generated Node #0,0: 57:[70, 20, 59] Operation: 94-35=59 Exploring Operation: 94-70=24, Resulting Numbers: [35, 20, 24] Generated Node #0,1: 57:[35, 20, 24] Operation: 94-70=24 Moving to Node #0,0 Current State: 57:[70, 20, 59], Operations: ['94-35=59'] Exploring Operation: 70-20=50, Resulting Numbers: [59, 50] Generated Node #0,0,0: 57:[59, 50] Operation: 70-20=50 Exploring Operation: 70-59=11, Resulting Numbers: [20, 11] Generated Node #0,0,1: 57:[20, 11] Operation: 70-59=11 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 57:[59, 50], Operations: ['94-35=59', '70-20=50'] Exploring Operation: 59-50=9, Resulting Numbers: [9] 9,57 unequal: No Solution Exploring Operation: 59+50=109, Resulting Numbers: [109] 109,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 57:[20, 11], Operations: ['94-35=59', '70-59=11'] Exploring Operation: 20+11=31, Resulting Numbers: [31] 31,57 unequal: No Solution Exploring Operation: 20-11=9, Resulting Numbers: [9] 9,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 57:[35, 20, 24], Operations: ['94-70=24'] Exploring Operation: 35+20=55, Resulting Numbers: [24, 55] Generated Node #0,1,0: 57:[24, 55] Operation: 35+20=55 Exploring Operation: 35+24=59, Resulting Numbers: [20, 59] Generated Node #0,1,1: 57:[20, 59] Operation: 35+24=59 Moving to Node #0,1,1 Current State: 57:[20, 59], Operations: ['94-70=24', '35+24=59'] Exploring Operation: 20+59=79, Resulting Numbers: [79] 79,57 unequal: No Solution Exploring Operation: 59-20=39, Resulting Numbers: [39] 39,57 unequal: No Solution Moving to Node #0,1,0 Current State: 57:[24, 55], Operations: ['94-70=24', '35+20=55'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,57 unequal: No Solution Exploring Operation: 24+55=79, Resulting Numbers: [79] 79,57 unequal: No Solution No solution found.	0	hs_2	sum_heuristic
[ 75, 1, 66, 5 ]	28	[ "75-1=74", "66+74=140", "140/5=28" ]	Current State: 28:[75, 1, 66, 5], Operations: [] Exploring Operation: 75-1=74, Resulting Numbers: [66, 5, 74] Generated Node #2: [66, 5, 74] from Operation: 75-1=74 Current State: 28:[66, 5, 74], Operations: ['75-1=74'] Exploring Operation: 66+74=140, Resulting Numbers: [5, 140] Generated Node #3: [5, 140] from Operation: 66+74=140 Current State: 28:[5, 140], Operations: ['75-1=74', '66+74=140'] Exploring Operation: 140/5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached	4	Current State: 28:[75, 1, 66, 5], Operations: [] Exploring Operation: 75/5=15, Resulting Numbers: [1, 66, 15] Generated Node #0,0: 28:[1, 66, 15] Operation: 75/5=15 Exploring Operation: 66-5=61, Resulting Numbers: [75, 1, 61] Generated Node #0,1: 28:[75, 1, 61] Operation: 66-5=61 Exploring Operation: 75-5=70, Resulting Numbers: [1, 66, 70] Generated Node #0,2: 28:[1, 66, 70] Operation: 75-5=70 Exploring Operation: 75-1=74, Resulting Numbers: [66, 5, 74] Generated Node #0,3: 28:[66, 5, 74] Operation: 75-1=74 Exploring Operation: 75-66=9, Resulting Numbers: [1, 5, 9] Generated Node #0,4: 28:[1, 5, 9] Operation: 75-66=9 Start Sub Search at level 1: Moving to Node #0,4 Current State: 28:[1, 5, 9], Operations: ['75-66=9'] Exploring Operation: 9-5=4, Resulting Numbers: [1, 4] Generated Node #0,4,0: 28:[1, 4] Operation: 9-5=4 Exploring Operation: 9-1=8, Resulting Numbers: [5, 8] Generated Node #0,4,1: 28:[5, 8] Operation: 9-1=8 Exploring Operation: 5+9=14, Resulting Numbers: [1, 14] Generated Node #0,4,2: 28:[1, 14] Operation: 5+9=14 Exploring Operation: 1+5=6, Resulting Numbers: [9, 6] Generated Node #0,4,3: 28:[9, 6] Operation: 1+5=6 Exploring Operation: 5-1=4, Resulting Numbers: [9, 4] Generated Node #0,4,4: 28:[9, 4] Operation: 5-1=4 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 28:[1, 4], Operations: ['75-66=9', '9-5=4'] Exploring Operation: 14=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 28:[1, 14], Operations: ['75-66=9', '5+9=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 14/1=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 1+14=15, Resulting Numbers: [15] 15,28 unequal: No Solution Exploring Operation: 114=14, Resulting Numbers: [14] 14,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 28:[5, 8], Operations: ['75-66=9', '9-1=8'] Exploring Operation: 58=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 28:[9, 4], Operations: ['75-66=9', '5-1=4'] Exploring Operation: 9+4=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 9-4=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 94=36, Resulting Numbers: [36] 36,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 28:[9, 6], Operations: ['75-66=9', '1+5=6'] Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,28 unequal: No Solution Exploring Operation: 9-6=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 96=54, Resulting Numbers: [54] 54,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[1, 66, 15], Operations: ['75/5=15'] Exploring Operation: 66-1=65, Resulting Numbers: [15, 65] Generated Node #0,0,0: 28:[15, 65] Operation: 66-1=65 Exploring Operation: 166=66, Resulting Numbers: [15, 66] Generated Node #0,0,1: 28:[15, 66] Operation: 166=66 Exploring Operation: 66/1=66, Resulting Numbers: [15, 66] Generated Node #0,0,2: 28:[15, 66] Operation: 66/1=66 Exploring Operation: 66-15=51, Resulting Numbers: [1, 51] Generated Node #0,0,3: 28:[1, 51] Operation: 66-15=51 Exploring Operation: 15-1=14, Resulting Numbers: [66, 14] Generated Node #0,0,4: 28:[66, 14] Operation: 15-1=14 Moving to Node #0,0,3 Current State: 28:[1, 51], Operations: ['75/5=15', '66-15=51'] Exploring Operation: 51/1=51, Resulting Numbers: [51] 51,28 unequal: No Solution Exploring Operation: 1+51=52, Resulting Numbers: [52] 52,28 unequal: No Solution Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,28 unequal: No Solution Exploring Operation: 151=51, Resulting Numbers: [51] 51,28 unequal: No Solution Moving to Node #0,0,4 Current State: 28:[66, 14], Operations: ['75/5=15', '15-1=14'] Exploring Operation: 6614=924, Resulting Numbers: [924] 924,28 unequal: No Solution Exploring Operation: 66+14=80, Resulting Numbers: [80] 80,28 unequal: No Solution Exploring Operation: 66-14=52, Resulting Numbers: [52] 52,28 unequal: No Solution Moving to Node #0,0,0 Current State: 28:[15, 65], Operations: ['75/5=15', '66-1=65'] Exploring Operation: 1565=975, Resulting Numbers: [975] 975,28 unequal: No Solution Exploring Operation: 65-15=50, Resulting Numbers: [50] 50,28 unequal: No Solution Exploring Operation: 15+65=80, Resulting Numbers: [80] 80,28 unequal: No Solution Moving to Node #0,0,1 Current State: 28:[15, 66], Operations: ['75/5=15', '166=66'] Exploring Operation: 1566=990, Resulting Numbers: [990] 990,28 unequal: No Solution Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,28 unequal: No Solution Exploring Operation: 15+66=81, Resulting Numbers: [81] 81,28 unequal: No Solution Moving to Node #0,0,2 Current State: 28:[15, 66], Operations: ['75/5=15', '66/1=66'] Exploring Operation: 1566=990, Resulting Numbers: [990] 990,28 unequal: No Solution Exploring Operation: 15+66=81, Resulting Numbers: [81] 81,28 unequal: No Solution Exploring Operation: 66-15=51, Resulting Numbers: [51] 51,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[75, 1, 61], Operations: ['66-5=61'] Exploring Operation: 75-1=74, Resulting Numbers: [61, 74] Generated Node #0,1,0: 28:[61, 74] Operation: 75-1=74 Exploring Operation: 75-61=14, Resulting Numbers: [1, 14] Generated Node #0,1,1: 28:[1, 14] Operation: 75-61=14 Exploring Operation: 751=75, Resulting Numbers: [61, 75] Generated Node #0,1,2: 28:[61, 75] Operation: 751=75 Exploring Operation: 61-1=60, Resulting Numbers: [75, 60] Generated Node #0,1,3: 28:[75, 60] Operation: 61-1=60 Exploring Operation: 75/1=75, Resulting Numbers: [61, 75] Generated Node #0,1,4: 28:[61, 75] Operation: 75/1=75 Moving to Node #0,1,1 Current State: 28:[1, 14], Operations: ['66-5=61', '75-61=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 1+14=15, Resulting Numbers: [15] 15,28 unequal: No Solution Exploring Operation: 114=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 14/1=14, Resulting Numbers: [14] 14,28 unequal: No Solution Moving to Node #0,1,3 Current State: 28:[75, 60], Operations: ['66-5=61', '61-1=60'] Exploring Operation: 7560=4500, Resulting Numbers: [4500] 4500,28 unequal: No Solution Exploring Operation: 75+60=135, Resulting Numbers: [135] 135,28 unequal: No Solution Exploring Operation: 75-60=15, Resulting Numbers: [15] 15,28 unequal: No Solution Moving to Node #0,1,0 Current State: 28:[61, 74], Operations: ['66-5=61', '75-1=74'] Exploring Operation: 6174=4514, Resulting Numbers: [4514] 4514,28 unequal: No Solution Exploring Operation: 74-61=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 61+74=135, Resulting Numbers: [135] 135,28 unequal: No Solution Moving to Node #0,1,2 Current State: 28:[61, 75], Operations: ['66-5=61', '751=75'] Exploring Operation: 6175=4575, Resulting Numbers: [4575] 4575,28 unequal: No Solution Exploring Operation: 61+75=136, Resulting Numbers: [136] 136,28 unequal: No Solution Exploring Operation: 75-61=14, Resulting Numbers: [14] 14,28 unequal: No Solution Moving to Node #0,1,4 Current State: 28:[61, 75], Operations: ['66-5=61', '75/1=75'] Exploring Operation: 61+75=136, Resulting Numbers: [136] 136,28 unequal: No Solution Exploring Operation: 75-61=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 6175=4575, Resulting Numbers: [4575] 4575,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[1, 66, 70], Operations: ['75-5=70'] Exploring Operation: 166=66, Resulting Numbers: [70, 66] Generated Node #0,2,0: 28:[70, 66] Operation: 166=66 Exploring Operation: 66-1=65, Resulting Numbers: [70, 65] Generated Node #0,2,1: 28:[70, 65] Operation: 66-1=65 Exploring Operation: 70-66=4, Resulting Numbers: [1, 4] Generated Node #0,2,2: 28:[1, 4] Operation: 70-66=4 Exploring Operation: 66/1=66, Resulting Numbers: [70, 66] Generated Node #0,2,3: 28:[70, 66] Operation: 66/1=66 Exploring Operation: 70-1=69, Resulting Numbers: [66, 69] Generated Node #0,2,4: 28:[66, 69] Operation: 70-1=69 Moving to Node #0,2,2 Current State: 28:[1, 4], Operations: ['75-5=70', '70-66=4'] Exploring Operation: 14=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,28 unequal: No Solution Moving to Node #0,2,4 Current State: 28:[66, 69], Operations: ['75-5=70', '70-1=69'] Exploring Operation: 6669=4554, Resulting Numbers: [4554] 4554,28 unequal: No Solution Exploring Operation: 66+69=135, Resulting Numbers: [135] 135,28 unequal: No Solution Exploring Operation: 69-66=3, Resulting Numbers: [3] 3,28 unequal: No Solution Moving to Node #0,2,1 Current State: 28:[70, 65], Operations: ['75-5=70', '66-1=65'] Exploring Operation: 7065=4550, Resulting Numbers: [4550] 4550,28 unequal: No Solution Exploring Operation: 70+65=135, Resulting Numbers: [135] 135,28 unequal: No Solution Exploring Operation: 70-65=5, Resulting Numbers: [5] 5,28 unequal: No Solution Moving to Node #0,2,0 Current State: 28:[70, 66], Operations: ['75-5=70', '166=66'] Exploring Operation: 70+66=136, Resulting Numbers: [136] 136,28 unequal: No Solution Exploring Operation: 7066=4620, Resulting Numbers: [4620] 4620,28 unequal: No Solution Exploring Operation: 70-66=4, Resulting Numbers: [4] 4,28 unequal: No Solution Moving to Node #0,2,3 Current State: 28:[70, 66], Operations: ['75-5=70', '66/1=66'] Exploring Operation: 7066=4620, Resulting Numbers: [4620] 4620,28 unequal: No Solution Exploring Operation: 70+66=136, Resulting Numbers: [136] 136,28 unequal: No Solution Exploring Operation: 70-66=4, Resulting Numbers: [4] 4,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 28:[66, 5, 74], Operations: ['75-1=74'] Exploring Operation: 74-66=8, Resulting Numbers: [5, 8] Generated Node #0,3,0: 28:[5, 8] Operation: 74-66=8 Exploring Operation: 66-5=61, Resulting Numbers: [74, 61] Generated Node #0,3,1: 28:[74, 61] Operation: 66-5=61 Exploring Operation: 5+74=79, Resulting Numbers: [66, 79] Generated Node #0,3,2: 28:[66, 79] Operation: 5+74=79 Exploring Operation: 74-5=69, Resulting Numbers: [66, 69] Generated Node #0,3,3: 28:[66, 69] Operation: 74-5=69 Exploring Operation: 66+5=71, Resulting Numbers: [74, 71] Generated Node #0,3,4: 28:[74, 71] Operation: 66+5=71 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 28:[5, 8], Operations: ['75-1=74', '74-66=8'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 5+8=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 58=40, Resulting Numbers: [40] 40,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 28:[74, 61], Operations: ['75-1=74', '66-5=61'] Exploring Operation: 7461=4514, Resulting Numbers: [4514] 4514,28 unequal: No Solution Exploring Operation: 74-61=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 74+61=135, Resulting Numbers: [135] 135,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 28:[66, 69], Operations: ['75-1=74', '74-5=69'] Exploring Operation: 69-66=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 66+69=135, Resulting Numbers: [135] 135,28 unequal: No Solution Exploring Operation: 6669=4554, Resulting Numbers: [4554] 4554,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 28:[66, 79], Operations: ['75-1=74', '5+74=79'] Exploring Operation: 79-66=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 66+79=145, Resulting Numbers: [145] 145,28 unequal: No Solution Exploring Operation: 6679=5214, Resulting Numbers: [5214] 5214,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 28:[74, 71], Operations: ['75-1=74', '66+5=71'] Exploring Operation: 7471=5254, Resulting Numbers: [5254] 5254,28 unequal: No Solution Exploring Operation: 74+71=145, Resulting Numbers: [145] 145,28 unequal: No Solution Exploring Operation: 74-71=3, Resulting Numbers: [3] 3,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_5	sum_heuristic
[ 69, 29, 10, 71 ]	21	[ "69-29=40", "71-10=61", "61-40=21" ]	Current State: 21:[69, 29, 10, 71], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [10, 71, 40] Generated Node #2: [10, 71, 40] from Operation: 69-29=40 Current State: 21:[10, 71, 40], Operations: ['69-29=40'] Exploring Operation: 71-10=61, Resulting Numbers: [40, 61] Generated Node #3: [40, 61] from Operation: 71-10=61 Current State: 21:[40, 61], Operations: ['69-29=40', '71-10=61'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached	4	Current State: 21:[69, 29, 10, 71], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [29, 10, 2] Generated Node #0,0: 21:[29, 10, 2] Operation: 71-69=2 Exploring Operation: 69-29=40, Resulting Numbers: [10, 71, 40] Generated Node #0,1: 21:[10, 71, 40] Operation: 69-29=40 Exploring Operation: 71-29=42, Resulting Numbers: [69, 10, 42] Generated Node #0,2: 21:[69, 10, 42] Operation: 71-29=42 Exploring Operation: 69-10=59, Resulting Numbers: [29, 71, 59] Generated Node #0,3: 21:[29, 71, 59] Operation: 69-10=59 Moving to Node #0,0 Current State: 21:[29, 10, 2], Operations: ['71-69=2'] Exploring Operation: 102=20, Resulting Numbers: [29, 20] Generated Node #0,0,0: 21:[29, 20] Operation: 102=20 Exploring Operation: 29-10=19, Resulting Numbers: [2, 19] Generated Node #0,0,1: 21:[2, 19] Operation: 29-10=19 Exploring Operation: 29-2=27, Resulting Numbers: [10, 27] Generated Node #0,0,2: 21:[10, 27] Operation: 29-2=27 Exploring Operation: 10-2=8, Resulting Numbers: [29, 8] Generated Node #0,0,3: 21:[29, 8] Operation: 10-2=8 Moving to Node #0,2 Current State: 21:[69, 10, 42], Operations: ['71-29=42'] Exploring Operation: 69-10=59, Resulting Numbers: [42, 59] Generated Node #0,2,0: 21:[42, 59] Operation: 69-10=59 Exploring Operation: 69-42=27, Resulting Numbers: [10, 27] Generated Node #0,2,1: 21:[10, 27] Operation: 69-42=27 Exploring Operation: 42-10=32, Resulting Numbers: [69, 32] Generated Node #0,2,2: 21:[69, 32] Operation: 42-10=32 Exploring Operation: 69+10=79, Resulting Numbers: [42, 79] Generated Node #0,2,3: 21:[42, 79] Operation: 69+10=79 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 21:[10, 27], Operations: ['71-29=42', '69-42=27'] Exploring Operation: 10+27=37, Resulting Numbers: [37] 37,21 unequal: No Solution Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,21 unequal: No Solution Exploring Operation: 1027=270, Resulting Numbers: [270] 270,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 21:[42, 59], Operations: ['71-29=42', '69-10=59'] Exploring Operation: 4259=2478, Resulting Numbers: [2478] 2478,21 unequal: No Solution Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,21 unequal: No Solution Exploring Operation: 42+59=101, Resulting Numbers: [101] 101,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 21:[69, 32], Operations: ['71-29=42', '42-10=32'] Exploring Operation: 69+32=101, Resulting Numbers: [101] 101,21 unequal: No Solution Exploring Operation: 6932=2208, Resulting Numbers: [2208] 2208,21 unequal: No Solution Exploring Operation: 69-32=37, Resulting Numbers: [37] 37,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 21:[42, 79], Operations: ['71-29=42', '69+10=79'] Exploring Operation: 79-42=37, Resulting Numbers: [37] 37,21 unequal: No Solution Exploring Operation: 4279=3318, Resulting Numbers: [3318] 3318,21 unequal: No Solution Exploring Operation: 42+79=121, Resulting Numbers: [121] 121,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 21:[10, 71, 40], Operations: ['69-29=40'] Exploring Operation: 71-40=31, Resulting Numbers: [10, 31] Generated Node #0,1,0: 21:[10, 31] Operation: 71-40=31 Exploring Operation: 40/10=4, Resulting Numbers: [71, 4] Generated Node #0,1,1: 21:[71, 4] Operation: 40/10=4 Exploring Operation: 40-10=30, Resulting Numbers: [71, 30] Generated Node #0,1,2: 21:[71, 30] Operation: 40-10=30 Exploring Operation: 71-10=61, Resulting Numbers: [40, 61] Generated Node #0,1,3: 21:[40, 61] Operation: 71-10=61 Moving to Node #0,3 Current State: 21:[29, 71, 59], Operations: ['69-10=59'] Exploring Operation: 59-29=30, Resulting Numbers: [71, 30] Generated Node #0,3,0: 21:[71, 30] Operation: 59-29=30 Exploring Operation: 29+71=100, Resulting Numbers: [59, 100] Generated Node #0,3,1: 21:[59, 100] Operation: 29+71=100 Exploring Operation: 71-59=12, Resulting Numbers: [29, 12] Generated Node #0,3,2: 21:[29, 12] Operation: 71-59=12 Exploring Operation: 71-29=42, Resulting Numbers: [59, 42] Generated Node #0,3,3: 21:[59, 42] Operation: 71-29=42 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 21:[29, 12], Operations: ['69-10=59', '71-59=12'] Exploring Operation: 2912=348, Resulting Numbers: [348] 348,21 unequal: No Solution Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,21 unequal: No Solution Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 21:[71, 30], Operations: ['69-10=59', '59-29=30'] Exploring Operation: 71+30=101, Resulting Numbers: [101] 101,21 unequal: No Solution Exploring Operation: 7130=2130, Resulting Numbers: [2130] 2130,21 unequal: No Solution Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 21:[59, 42], Operations: ['69-10=59', '71-29=42'] Exploring Operation: 59-42=17, Resulting Numbers: [17] 17,21 unequal: No Solution Exploring Operation: 5942=2478, Resulting Numbers: [2478] 2478,21 unequal: No Solution Exploring Operation: 59+42=101, Resulting Numbers: [101] 101,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 21:[59, 100], Operations: ['69-10=59', '29+71=100'] Exploring Operation: 100-59=41, Resulting Numbers: [41] 41,21 unequal: No Solution Exploring Operation: 59100=5900, Resulting Numbers: [5900] 5900,21 unequal: No Solution Exploring Operation: 59+100=159, Resulting Numbers: [159] 159,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 21:[2, 19], Operations: ['71-69=2', '29-10=19'] Exploring Operation: 2+19=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[69, 29, 10, 71], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [29, 10, 2] Generated Node #0,0: 21:[29, 10, 2] Operation: 71-69=2 Moving to Node #0,0 Current State: 21:[29, 10, 2], Operations: ['71-69=2'] Exploring Operation: 29-10=19, Resulting Numbers: [2, 19] Generated Node #0,0,1: 21:[2, 19] Operation: 29-10=19 Moving to Node #0,0,1 Current State: 21:[2, 19], Operations: ['71-69=2', '29-10=19'] Exploring Operation: 2+19=21, Resulting Numbers: [21] 21,21 equal: Goal Reached	0.957465	hs_4	mult_heuristic
[ 66, 11, 5, 86 ]	86	[ "66/11=6", "6-5=1", "86*1=86" ]	Current State: 86:[66, 11, 5, 86], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [5, 86, 6] Generated Node #2: [5, 86, 6] from Operation: 66/11=6 Current State: 86:[5, 86, 6], Operations: ['66/11=6'] Exploring Operation: 6-5=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 6-5=1 Current State: 86:[86, 1], Operations: ['66/11=6', '6-5=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached	4	Current State: 86:[66, 11, 5, 86], Operations: [] Exploring Operation: 66+11=77, Resulting Numbers: [5, 86, 77] Generated Node #0,0: 86:[5, 86, 77] Operation: 66+11=77 Exploring Operation: 66-11=55, Resulting Numbers: [5, 86, 55] Generated Node #0,1: 86:[5, 86, 55] Operation: 66-11=55 Exploring Operation: 66+5=71, Resulting Numbers: [11, 86, 71] Generated Node #0,2: 86:[11, 86, 71] Operation: 66+5=71 Exploring Operation: 66/11=6, Resulting Numbers: [5, 86, 6] Generated Node #0,3: 86:[5, 86, 6] Operation: 66/11=6 Moving to Node #0,3 Current State: 86:[5, 86, 6], Operations: ['66/11=6'] Exploring Operation: 5+6=11, Resulting Numbers: [86, 11] Generated Node #0,3,0: 86:[86, 11] Operation: 5+6=11 Exploring Operation: 86-5=81, Resulting Numbers: [6, 81] Generated Node #0,3,1: 86:[6, 81] Operation: 86-5=81 Exploring Operation: 5+86=91, Resulting Numbers: [6, 91] Generated Node #0,3,2: 86:[6, 91] Operation: 5+86=91 Exploring Operation: 6-5=1, Resulting Numbers: [86, 1] Generated Node #0,3,3: 86:[86, 1] Operation: 6-5=1 Moving to Node #0,0 Current State: 86:[5, 86, 77], Operations: ['66+11=77'] Exploring Operation: 86-5=81, Resulting Numbers: [77, 81] Generated Node #0,0,0: 86:[77, 81] Operation: 86-5=81 Exploring Operation: 5+86=91, Resulting Numbers: [77, 91] Generated Node #0,0,1: 86:[77, 91] Operation: 5+86=91 Exploring Operation: 86-77=9, Resulting Numbers: [5, 9] Generated Node #0,0,2: 86:[5, 9] Operation: 86-77=9 Exploring Operation: 5+77=82, Resulting Numbers: [86, 82] Generated Node #0,0,3: 86:[86, 82] Operation: 5+77=82 Moving to Node #0,1 Current State: 86:[5, 86, 55], Operations: ['66-11=55'] Exploring Operation: 55-5=50, Resulting Numbers: [86, 50] Generated Node #0,1,0: 86:[86, 50] Operation: 55-5=50 Exploring Operation: 5+86=91, Resulting Numbers: [55, 91] Generated Node #0,1,1: 86:[55, 91] Operation: 5+86=91 Exploring Operation: 86-55=31, Resulting Numbers: [5, 31] Generated Node #0,1,2: 86:[5, 31] Operation: 86-55=31 Exploring Operation: 55/5=11, Resulting Numbers: [86, 11] Generated Node #0,1,3: 86:[86, 11] Operation: 55/5=11 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 86:[86, 50], Operations: ['66-11=55', '55-5=50'] Exploring Operation: 86+50=136, Resulting Numbers: [136] 136,86 unequal: No Solution Exploring Operation: 86-50=36, Resulting Numbers: [36] 36,86 unequal: No Solution Exploring Operation: 8650=4300, Resulting Numbers: [4300] 4300,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 86:[86, 11], Operations: ['66-11=55', '55/5=11'] Exploring Operation: 86-11=75, Resulting Numbers: [75] 75,86 unequal: No Solution Exploring Operation: 8611=946, Resulting Numbers: [946] 946,86 unequal: No Solution Exploring Operation: 86+11=97, Resulting Numbers: [97] 97,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 86:[5, 31], Operations: ['66-11=55', '86-55=31'] Exploring Operation: 531=155, Resulting Numbers: [155] 155,86 unequal: No Solution Exploring Operation: 5+31=36, Resulting Numbers: [36] 36,86 unequal: No Solution Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 86:[55, 91], Operations: ['66-11=55', '5+86=91'] Exploring Operation: 91-55=36, Resulting Numbers: [36] 36,86 unequal: No Solution Exploring Operation: 55+91=146, Resulting Numbers: [146] 146,86 unequal: No Solution Exploring Operation: 5591=5005, Resulting Numbers: [5005] 5005,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 86:[11, 86, 71], Operations: ['66+5=71'] Exploring Operation: 11+71=82, Resulting Numbers: [86, 82] Generated Node #0,2,0: 86:[86, 82] Operation: 11+71=82 Exploring Operation: 11+86=97, Resulting Numbers: [71, 97] Generated Node #0,2,1: 86:[71, 97] Operation: 11+86=97 Exploring Operation: 71-11=60, Resulting Numbers: [86, 60] Generated Node #0,2,2: 86:[86, 60] Operation: 71-11=60 Exploring Operation: 86-71=15, Resulting Numbers: [11, 15] Generated Node #0,2,3: 86:[11, 15] Operation: 86-71=15 Moving to Node #0,3,3 Current State: 86:[86, 1], Operations: ['66/11=6', '6-5=1'] Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,86 unequal: No Solution Exploring Operation: 86+1=87, Resulting Numbers: [87] 87,86 unequal: No Solution Exploring Operation: 86/1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[66, 11, 5, 86], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [5, 86, 6] Generated Node #0,3: 86:[5, 86, 6] Operation: 66/11=6 Moving to Node #0,3 Current State: 86:[5, 86, 6], Operations: ['66/11=6'] Exploring Operation: 6-5=1, Resulting Numbers: [86, 1] Generated Node #0,3,3: 86:[86, 1] Operation: 6-5=1 Moving to Node #0,3,3 Current State: 86:[86, 1], Operations: ['66/11=6', '6-5=1'] Exploring Operation: 86/1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached	0.966146	hs_4	mult_heuristic
[ 14, 16, 68, 44 ]	46	[ "16-14=2", "44/2=22", "68-22=46" ]	Current State: 46:[14, 16, 68, 44], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [68, 44, 2] Generated Node #2: [68, 44, 2] from Operation: 16-14=2 Current State: 46:[68, 44, 2], Operations: ['16-14=2'] Exploring Operation: 44/2=22, Resulting Numbers: [68, 22] Generated Node #3: [68, 22] from Operation: 44/2=22 Current State: 46:[68, 22], Operations: ['16-14=2', '44/2=22'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached	4	Current State: 46:[14, 16, 68, 44], Operations: [] Exploring Operation: 68-14=54, Resulting Numbers: [16, 44, 54] Generated Node #0,0: 46:[16, 44, 54] Operation: 68-14=54 Exploring Operation: 68-16=52, Resulting Numbers: [14, 44, 52] Generated Node #0,1: 46:[14, 44, 52] Operation: 68-16=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 46:[16, 44, 54], Operations: ['68-14=54'] Exploring Operation: 44-16=28, Resulting Numbers: [54, 28] Generated Node #0,0,0: 46:[54, 28] Operation: 44-16=28 Exploring Operation: 54-16=38, Resulting Numbers: [44, 38] Generated Node #0,0,1: 46:[44, 38] Operation: 54-16=38 Moving to Node #0,0,1 Current State: 46:[44, 38], Operations: ['68-14=54', '54-16=38'] Exploring Operation: 44+38=82, Resulting Numbers: [82] 82,46 unequal: No Solution Exploring Operation: 44-38=6, Resulting Numbers: [6] 6,46 unequal: No Solution Moving to Node #0,0,0 Current State: 46:[54, 28], Operations: ['68-14=54', '44-16=28'] Exploring Operation: 54+28=82, Resulting Numbers: [82] 82,46 unequal: No Solution Exploring Operation: 54-28=26, Resulting Numbers: [26] 26,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 46:[14, 44, 52], Operations: ['68-16=52'] Exploring Operation: 52-14=38, Resulting Numbers: [44, 38] Generated Node #0,1,0: 46:[44, 38] Operation: 52-14=38 Exploring Operation: 44-14=30, Resulting Numbers: [52, 30] Generated Node #0,1,1: 46:[52, 30] Operation: 44-14=30 Moving to Node #0,1,0 Current State: 46:[44, 38], Operations: ['68-16=52', '52-14=38'] Exploring Operation: 44-38=6, Resulting Numbers: [6] 6,46 unequal: No Solution Exploring Operation: 44+38=82, Resulting Numbers: [82] 82,46 unequal: No Solution Moving to Node #0,1,1 Current State: 46:[52, 30], Operations: ['68-16=52', '44-14=30'] Exploring Operation: 52-30=22, Resulting Numbers: [22] 22,46 unequal: No Solution Exploring Operation: 52+30=82, Resulting Numbers: [82] 82,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 41, 38, 79, 97 ]	15	[ "41-38=3", "97-79=18", "18-3=15" ]	Current State: 15:[41, 38, 79, 97], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [79, 97, 3] Generated Node #2: [79, 97, 3] from Operation: 41-38=3 Current State: 15:[79, 97, 3], Operations: ['41-38=3'] Exploring Operation: 97-79=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 97-79=18 Current State: 15:[3, 18], Operations: ['41-38=3', '97-79=18'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[41, 38, 79, 97], Operations: [] Exploring Operation: 97-79=18, Resulting Numbers: [41, 38, 18] Generated Node #0,0: 15:[41, 38, 18] Operation: 97-79=18 Exploring Operation: 97-41=56, Resulting Numbers: [38, 79, 56] Generated Node #0,1: 15:[38, 79, 56] Operation: 97-41=56 Exploring Operation: 79-41=38, Resulting Numbers: [38, 97, 38] Generated Node #0,2: 15:[38, 97, 38] Operation: 79-41=38 Start Sub Search at level 1: Moving to Node #0,0 Current State: 15:[41, 38, 18], Operations: ['97-79=18'] Exploring Operation: 38-18=20, Resulting Numbers: [41, 20] Generated Node #0,0,0: 15:[41, 20] Operation: 38-18=20 Exploring Operation: 41-38=3, Resulting Numbers: [18, 3] Generated Node #0,0,1: 15:[18, 3] Operation: 41-38=3 Exploring Operation: 41-18=23, Resulting Numbers: [38, 23] Generated Node #0,0,2: 15:[38, 23] Operation: 41-18=23 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 15:[18, 3], Operations: ['97-79=18', '41-38=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[41, 38, 79, 97], Operations: [] Exploring Operation: 97-79=18, Resulting Numbers: [41, 38, 18] Generated Node #0,0: 15:[41, 38, 18] Operation: 97-79=18 Moving to Node #0,0 Current State: 15:[41, 38, 18], Operations: ['97-79=18'] Exploring Operation: 41-38=3, Resulting Numbers: [18, 3] Generated Node #0,0,1: 15:[18, 3] Operation: 41-38=3 Moving to Node #0,0,1 Current State: 15:[18, 3], Operations: ['97-79=18', '41-38=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.990451	hs_3	sum_heuristic
[ 4, 38, 3, 55 ]	16	[ "4+38=42", "3+55=58", "58-42=16" ]	Current State: 16:[4, 38, 3, 55], Operations: [] Exploring Operation: 4+38=42, Resulting Numbers: [3, 55, 42] Generated Node #2: [3, 55, 42] from Operation: 4+38=42 Current State: 16:[3, 55, 42], Operations: ['4+38=42'] Exploring Operation: 3+55=58, Resulting Numbers: [42, 58] Generated Node #3: [42, 58] from Operation: 3+55=58 Current State: 16:[42, 58], Operations: ['4+38=42', '3+55=58'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached	4	Current State: 16:[4, 38, 3, 55], Operations: [] Exploring Operation: 55-38=17, Resulting Numbers: [4, 3, 17] Generated Node #0,0: 16:[4, 3, 17] Operation: 55-38=17 Moving to Node #0,0 Current State: 16:[4, 3, 17], Operations: ['55-38=17'] Exploring Operation: 4+3=7, Resulting Numbers: [17, 7] Generated Node #0,0,0: 16:[17, 7] Operation: 4+3=7 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 16:[17, 7], Operations: ['55-38=17', '4+3=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,16 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 73, 63, 4, 74 ]	67	[ "74-73=1", "63+4=67", "1*67=67" ]	Current State: 67:[73, 63, 4, 74], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [63, 4, 1] Generated Node #2: [63, 4, 1] from Operation: 74-73=1 Current State: 67:[63, 4, 1], Operations: ['74-73=1'] Exploring Operation: 63+4=67, Resulting Numbers: [1, 67] Generated Node #3: [1, 67] from Operation: 63+4=67 Current State: 67:[1, 67], Operations: ['74-73=1', '63+4=67'] Exploring Operation: 1*67=67, Resulting Numbers: [67] 67,67 equal: Goal Reached	4	Current State: 67:[73, 63, 4, 74], Operations: [] Exploring Operation: 73-4=69, Resulting Numbers: [63, 74, 69] Generated Node #0,0: 67:[63, 74, 69] Operation: 73-4=69 Start Sub Search at level 1: Moving to Node #0,0 Current State: 67:[63, 74, 69], Operations: ['73-4=69'] Exploring Operation: 74-63=11, Resulting Numbers: [69, 11] Generated Node #0,0,0: 67:[69, 11] Operation: 74-63=11 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 67:[69, 11], Operations: ['73-4=69', '74-63=11'] Exploring Operation: 69-11=58, Resulting Numbers: [58] 58,67 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 8, 9, 43, 40 ]	15	[ "43-40=3", "8*3=24", "24-9=15" ]	Current State: 15:[8, 9, 43, 40], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [8, 9, 3] Generated Node #2: [8, 9, 3] from Operation: 43-40=3 Current State: 15:[8, 9, 3], Operations: ['43-40=3'] Exploring Operation: 83=24, Resulting Numbers: [9, 24] Generated Node #3: [9, 24] from Operation: 83=24 Current State: 15:[9, 24], Operations: ['43-40=3', '8*3=24'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[8, 9, 43, 40], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [9, 43, 5] Generated Node #0,0: 15:[9, 43, 5] Operation: 40/8=5 Exploring Operation: 43-40=3, Resulting Numbers: [8, 9, 3] Generated Node #0,1: 15:[8, 9, 3] Operation: 43-40=3 Exploring Operation: 43-9=34, Resulting Numbers: [8, 40, 34] Generated Node #0,2: 15:[8, 40, 34] Operation: 43-9=34 Moving to Node #0,1 Current State: 15:[8, 9, 3], Operations: ['43-40=3'] Exploring Operation: 9/3=3, Resulting Numbers: [8, 3] Generated Node #0,1,0: 15:[8, 3] Operation: 9/3=3 Exploring Operation: 8+9=17, Resulting Numbers: [3, 17] Generated Node #0,1,1: 15:[3, 17] Operation: 8+9=17 Exploring Operation: 9-8=1, Resulting Numbers: [3, 1] Generated Node #0,1,2: 15:[3, 1] Operation: 9-8=1 Moving to Node #0,0 Current State: 15:[9, 43, 5], Operations: ['40/8=5'] Exploring Operation: 43-9=34, Resulting Numbers: [5, 34] Generated Node #0,0,0: 15:[5, 34] Operation: 43-9=34 Exploring Operation: 43-5=38, Resulting Numbers: [9, 38] Generated Node #0,0,1: 15:[9, 38] Operation: 43-5=38 Exploring Operation: 9+5=14, Resulting Numbers: [43, 14] Generated Node #0,0,2: 15:[43, 14] Operation: 9+5=14 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 15:[5, 34], Operations: ['40/8=5', '43-9=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,15 unequal: No Solution Exploring Operation: 534=170, Resulting Numbers: [170] 170,15 unequal: No Solution Exploring Operation: 5+34=39, Resulting Numbers: [39] 39,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 15:[9, 38], Operations: ['40/8=5', '43-5=38'] Exploring Operation: 938=342, Resulting Numbers: [342] 342,15 unequal: No Solution Exploring Operation: 38-9=29, Resulting Numbers: [29] 29,15 unequal: No Solution Exploring Operation: 9+38=47, Resulting Numbers: [47] 47,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 15:[43, 14], Operations: ['40/8=5', '9+5=14'] Exploring Operation: 43+14=57, Resulting Numbers: [57] 57,15 unequal: No Solution Exploring Operation: 4314=602, Resulting Numbers: [602] 602,15 unequal: No Solution Exploring Operation: 43-14=29, Resulting Numbers: [29] 29,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 15:[8, 40, 34], Operations: ['43-9=34'] Exploring Operation: 40-34=6, Resulting Numbers: [8, 6] Generated Node #0,2,0: 15:[8, 6] Operation: 40-34=6 Exploring Operation: 40-8=32, Resulting Numbers: [34, 32] Generated Node #0,2,1: 15:[34, 32] Operation: 40-8=32 Exploring Operation: 40/8=5, Resulting Numbers: [34, 5] Generated Node #0,2,2: 15:[34, 5] Operation: 40/8=5 Moving to Node #0,1,1 Current State: 15:[3, 17], Operations: ['43-40=3', '8+9=17'] Exploring Operation: 317=51, Resulting Numbers: [51] 51,15 unequal: No Solution Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,15 unequal: No Solution Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[3, 1], Operations: ['43-40=3', '9-8=1'] Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,15 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,15 unequal: No Solution Exploring Operation: 31=3, Resulting Numbers: [3] 3,15 unequal: No Solution Moving to Node #0,1,0 Current State: 15:[8, 3], Operations: ['43-40=3', '9/3=3'] Exploring Operation: 83=24, Resulting Numbers: [24] 24,15 unequal: No Solution Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,15 unequal: No Solution Moving to Node #0,2,0 Current State: 15:[8, 6], Operations: ['43-9=34', '40-34=6'] Exploring Operation: 8-6=2, Resulting Numbers: [2] 2,15 unequal: No Solution Exploring Operation: 8+6=14, Resulting Numbers: [14] 14,15 unequal: No Solution Exploring Operation: 86=48, Resulting Numbers: [48] 48,15 unequal: No Solution Moving to Node #0,2,2 Current State: 15:[34, 5], Operations: ['43-9=34', '40/8=5'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,15 unequal: No Solution Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,15 unequal: No Solution Exploring Operation: 345=170, Resulting Numbers: [170] 170,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[34, 32], Operations: ['43-9=34', '40-8=32'] Exploring Operation: 34-32=2, Resulting Numbers: [2] 2,15 unequal: No Solution Exploring Operation: 34*32=1088, Resulting Numbers: [1088] 1088,15 unequal: No Solution Exploring Operation: 34+32=66, Resulting Numbers: [66] 66,15 unequal: No Solution No solution found.	0	hs_3	mult_heuristic
[ 24, 4, 3, 29 ]	65	[ "24+29=53", "4*3=12", "53+12=65" ]	Current State: 65:[24, 4, 3, 29], Operations: [] Exploring Operation: 24+29=53, Resulting Numbers: [4, 3, 53] Generated Node #2: [4, 3, 53] from Operation: 24+29=53 Current State: 65:[4, 3, 53], Operations: ['24+29=53'] Exploring Operation: 43=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 43=12 Current State: 65:[53, 12], Operations: ['24+29=53', '4*3=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached	4	Current State: 65:[24, 4, 3, 29], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [4, 29, 8] Generated Node #0,0: 65:[4, 29, 8] Operation: 24/3=8 Exploring Operation: 24+29=53, Resulting Numbers: [4, 3, 53] Generated Node #0,1: 65:[4, 3, 53] Operation: 24+29=53 Exploring Operation: 29-24=5, Resulting Numbers: [4, 3, 5] Generated Node #0,2: 65:[4, 3, 5] Operation: 29-24=5 Exploring Operation: 24/4=6, Resulting Numbers: [3, 29, 6] Generated Node #0,3: 65:[3, 29, 6] Operation: 24/4=6 Moving to Node #0,2 Current State: 65:[4, 3, 5], Operations: ['29-24=5'] Exploring Operation: 35=15, Resulting Numbers: [4, 15] Generated Node #0,2,0: 65:[4, 15] Operation: 35=15 Exploring Operation: 4-3=1, Resulting Numbers: [5, 1] Generated Node #0,2,1: 65:[5, 1] Operation: 4-3=1 Exploring Operation: 43=12, Resulting Numbers: [5, 12] Generated Node #0,2,2: 65:[5, 12] Operation: 43=12 Exploring Operation: 4+3=7, Resulting Numbers: [5, 7] Generated Node #0,2,3: 65:[5, 7] Operation: 4+3=7 Moving to Node #0,1 Current State: 65:[4, 3, 53], Operations: ['24+29=53'] Exploring Operation: 43=12, Resulting Numbers: [53, 12] Generated Node #0,1,0: 65:[53, 12] Operation: 43=12 Exploring Operation: 4+3=7, Resulting Numbers: [53, 7] Generated Node #0,1,1: 65:[53, 7] Operation: 4+3=7 Exploring Operation: 4+53=57, Resulting Numbers: [3, 57] Generated Node #0,1,2: 65:[3, 57] Operation: 4+53=57 Exploring Operation: 3+53=56, Resulting Numbers: [4, 56] Generated Node #0,1,3: 65:[4, 56] Operation: 3+53=56 Moving to Node #0,3 Current State: 65:[3, 29, 6], Operations: ['24/4=6'] Exploring Operation: 6/3=2, Resulting Numbers: [29, 2] Generated Node #0,3,0: 65:[29, 2] Operation: 6/3=2 Exploring Operation: 6-3=3, Resulting Numbers: [29, 3] Generated Node #0,3,1: 65:[29, 3] Operation: 6-3=3 Exploring Operation: 29-3=26, Resulting Numbers: [6, 26] Generated Node #0,3,2: 65:[6, 26] Operation: 29-3=26 Exploring Operation: 29-6=23, Resulting Numbers: [3, 23] Generated Node #0,3,3: 65:[3, 23] Operation: 29-6=23 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 65:[3, 23], Operations: ['24/4=6', '29-6=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,65 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,65 unequal: No Solution Exploring Operation: 323=69, Resulting Numbers: [69] 69,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 65:[6, 26], Operations: ['24/4=6', '29-3=26'] Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,65 unequal: No Solution Exploring Operation: 626=156, Resulting Numbers: [156] 156,65 unequal: No Solution Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 65:[29, 3], Operations: ['24/4=6', '6-3=3'] Exploring Operation: 293=87, Resulting Numbers: [87] 87,65 unequal: No Solution Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,65 unequal: No Solution Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 65:[29, 2], Operations: ['24/4=6', '6/3=2'] Exploring Operation: 292=58, Resulting Numbers: [58] 58,65 unequal: No Solution Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,65 unequal: No Solution Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 65:[4, 29, 8], Operations: ['24/3=8'] Exploring Operation: 8-4=4, Resulting Numbers: [29, 4] Generated Node #0,0,0: 65:[29, 4] Operation: 8-4=4 Exploring Operation: 29-4=25, Resulting Numbers: [8, 25] Generated Node #0,0,1: 65:[8, 25] Operation: 29-4=25 Exploring Operation: 29-8=21, Resulting Numbers: [4, 21] Generated Node #0,0,2: 65:[4, 21] Operation: 29-8=21 Exploring Operation: 4+8=12, Resulting Numbers: [29, 12] Generated Node #0,0,3: 65:[29, 12] Operation: 4+8=12 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 65:[4, 21], Operations: ['24/3=8', '29-8=21'] Exploring Operation: 4+21=25, Resulting Numbers: [25] 25,65 unequal: No Solution Exploring Operation: 421=84, Resulting Numbers: [84] 84,65 unequal: No Solution Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 65:[8, 25], Operations: ['24/3=8', '29-4=25'] Exploring Operation: 25-8=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 825=200, Resulting Numbers: [200] 200,65 unequal: No Solution Exploring Operation: 8+25=33, Resulting Numbers: [33] 33,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 65:[29, 4], Operations: ['24/3=8', '8-4=4'] Exploring Operation: 29+4=33, Resulting Numbers: [33] 33,65 unequal: No Solution Exploring Operation: 29-4=25, Resulting Numbers: [25] 25,65 unequal: No Solution Exploring Operation: 294=116, Resulting Numbers: [116] 116,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 65:[29, 12], Operations: ['24/3=8', '4+8=12'] Exploring Operation: 2912=348, Resulting Numbers: [348] 348,65 unequal: No Solution Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,2 Current State: 65:[5, 12], Operations: ['29-24=5', '43=12'] Exploring Operation: 5+12=17, Resulting Numbers: [17] 17,65 unequal: No Solution Exploring Operation: 12-5=7, Resulting Numbers: [7] 7,65 unequal: No Solution Exploring Operation: 512=60, Resulting Numbers: [60] 60,65 unequal: No Solution Moving to Node #0,2,3 Current State: 65:[5, 7], Operations: ['29-24=5', '4+3=7'] Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,65 unequal: No Solution Exploring Operation: 57=35, Resulting Numbers: [35] 35,65 unequal: No Solution Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,65 unequal: No Solution Moving to Node #0,2,0 Current State: 65:[4, 15], Operations: ['29-24=5', '35=15'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,65 unequal: No Solution Exploring Operation: 415=60, Resulting Numbers: [60] 60,65 unequal: No Solution Exploring Operation: 4+15=19, Resulting Numbers: [19] 19,65 unequal: No Solution Moving to Node #0,2,1 Current State: 65:[5, 1], Operations: ['29-24=5', '4-3=1'] Exploring Operation: 5+1=6, Resulting Numbers: [6] 6,65 unequal: No Solution Exploring Operation: 51=5, Resulting Numbers: [5] 5,65 unequal: No Solution Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,65 unequal: No Solution Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,65 unequal: No Solution Moving to Node #0,1,3 Current State: 65:[4, 56], Operations: ['24+29=53', '3+53=56'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,65 unequal: No Solution Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,65 unequal: No Solution Exploring Operation: 4+56=60, Resulting Numbers: [60] 60,65 unequal: No Solution Exploring Operation: 456=224, Resulting Numbers: [224] 224,65 unequal: No Solution Moving to Node #0,1,2 Current State: 65:[3, 57], Operations: ['24+29=53', '4+53=57'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,65 unequal: No Solution Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,65 unequal: No Solution Exploring Operation: 357=171, Resulting Numbers: [171] 171,65 unequal: No Solution Exploring Operation: 3+57=60, Resulting Numbers: [60] 60,65 unequal: No Solution Moving to Node #0,1,0 Current State: 65:[53, 12], Operations: ['24+29=53', '43=12'] Exploring Operation: 5312=636, Resulting Numbers: [636] 636,65 unequal: No Solution Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Moving to Node #0 Current State: 65:[24, 4, 3, 29], Operations: [] Exploring Operation: 24+29=53, Resulting Numbers: [4, 3, 53] Generated Node #0,1: 65:[4, 3, 53] Operation: 24+29=53 Moving to Node #0,1 Current State: 65:[4, 3, 53], Operations: ['24+29=53'] Exploring Operation: 43=12, Resulting Numbers: [53, 12] Generated Node #0,1,0: 65:[53, 12] Operation: 43=12 Moving to Node #0,1,0 Current State: 65:[53, 12], Operations: ['24+29=53', '4*3=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached	0.938368	hs_4	sum_heuristic
[ 98, 53, 12, 37 ]	96	[ "98-53=45", "45-37=8", "12*8=96" ]	Current State: 96:[98, 53, 12, 37], Operations: [] Exploring Operation: 98-53=45, Resulting Numbers: [12, 37, 45] Generated Node #2: [12, 37, 45] from Operation: 98-53=45 Current State: 96:[12, 37, 45], Operations: ['98-53=45'] Exploring Operation: 45-37=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 45-37=8 Current State: 96:[12, 8], Operations: ['98-53=45', '45-37=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached	4	Current State: 96:[98, 53, 12, 37], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [98, 12, 16] Generated Node #0,0: 96:[98, 12, 16] Operation: 53-37=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[98, 12, 16], Operations: ['53-37=16'] Exploring Operation: 16-12=4, Resulting Numbers: [98, 4] Generated Node #0,0,0: 96:[98, 4] Operation: 16-12=4 Moving to Node #0,0,0 Current State: 96:[98, 4], Operations: ['53-37=16', '16-12=4'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 97, 54, 2, 9 ]	85	[ "54*2=108", "108/9=12", "97-12=85" ]	Current State: 85:[97, 54, 2, 9], Operations: [] Exploring Operation: 542=108, Resulting Numbers: [97, 9, 108] Generated Node #2: [97, 9, 108] from Operation: 542=108 Current State: 85:[97, 9, 108], Operations: ['542=108'] Exploring Operation: 108/9=12, Resulting Numbers: [97, 12] Generated Node #3: [97, 12] from Operation: 108/9=12 Current State: 85:[97, 12], Operations: ['542=108', '108/9=12'] Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached	4	Current State: 85:[97, 54, 2, 9], Operations: [] Exploring Operation: 97-54=43, Resulting Numbers: [2, 9, 43] Generated Node #0,0: 85:[2, 9, 43] Operation: 97-54=43 Exploring Operation: 54/2=27, Resulting Numbers: [97, 9, 27] Generated Node #0,1: 85:[97, 9, 27] Operation: 54/2=27 Exploring Operation: 54/9=6, Resulting Numbers: [97, 2, 6] Generated Node #0,2: 85:[97, 2, 6] Operation: 54/9=6 Start Sub Search at level 1: Moving to Node #0,2 Current State: 85:[97, 2, 6], Operations: ['54/9=6'] Exploring Operation: 97-2=95, Resulting Numbers: [6, 95] Generated Node #0,2,0: 85:[6, 95] Operation: 97-2=95 Exploring Operation: 97-6=91, Resulting Numbers: [2, 91] Generated Node #0,2,1: 85:[2, 91] Operation: 97-6=91 Exploring Operation: 6-2=4, Resulting Numbers: [97, 4] Generated Node #0,2,2: 85:[97, 4] Operation: 6-2=4 Moving to Node #0,2,1 Current State: 85:[2, 91], Operations: ['54/9=6', '97-6=91'] Exploring Operation: 2+91=93, Resulting Numbers: [93] 93,85 unequal: No Solution Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,85 unequal: No Solution Exploring Operation: 291=182, Resulting Numbers: [182] 182,85 unequal: No Solution Moving to Node #0,2,0 Current State: 85:[6, 95], Operations: ['54/9=6', '97-2=95'] Exploring Operation: 6+95=101, Resulting Numbers: [101] 101,85 unequal: No Solution Exploring Operation: 695=570, Resulting Numbers: [570] 570,85 unequal: No Solution Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,85 unequal: No Solution Moving to Node #0,2,2 Current State: 85:[97, 4], Operations: ['54/9=6', '6-2=4'] Exploring Operation: 97+4=101, Resulting Numbers: [101] 101,85 unequal: No Solution Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,85 unequal: No Solution Exploring Operation: 974=388, Resulting Numbers: [388] 388,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 85:[97, 9, 27], Operations: ['54/2=27'] Exploring Operation: 97-9=88, Resulting Numbers: [27, 88] Generated Node #0,1,0: 85:[27, 88] Operation: 97-9=88 Exploring Operation: 27-9=18, Resulting Numbers: [97, 18] Generated Node #0,1,1: 85:[97, 18] Operation: 27-9=18 Exploring Operation: 27/9=3, Resulting Numbers: [97, 3] Generated Node #0,1,2: 85:[97, 3] Operation: 27/9=3 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 85:[27, 88], Operations: ['54/2=27', '97-9=88'] Exploring Operation: 27+88=115, Resulting Numbers: [115] 115,85 unequal: No Solution Exploring Operation: 2788=2376, Resulting Numbers: [2376] 2376,85 unequal: No Solution Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 85:[97, 18], Operations: ['54/2=27', '27-9=18'] Exploring Operation: 97-18=79, Resulting Numbers: [79] 79,85 unequal: No Solution Exploring Operation: 97+18=115, Resulting Numbers: [115] 115,85 unequal: No Solution Exploring Operation: 9718=1746, Resulting Numbers: [1746] 1746,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 85:[97, 3], Operations: ['54/2=27', '27/9=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,85 unequal: No Solution Exploring Operation: 973=291, Resulting Numbers: [291] 291,85 unequal: No Solution Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[2, 9, 43], Operations: ['97-54=43'] Exploring Operation: 29=18, Resulting Numbers: [43, 18] Generated Node #0,0,0: 85:[43, 18] Operation: 29=18 Exploring Operation: 243=86, Resulting Numbers: [9, 86] Generated Node #0,0,1: 85:[9, 86] Operation: 243=86 Exploring Operation: 43-9=34, Resulting Numbers: [2, 34] Generated Node #0,0,2: 85:[2, 34] Operation: 43-9=34 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 85:[9, 86], Operations: ['97-54=43', '243=86'] Exploring Operation: 986=774, Resulting Numbers: [774] 774,85 unequal: No Solution Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,85 unequal: No Solution Exploring Operation: 9+86=95, Resulting Numbers: [95] 95,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 85:[2, 34], Operations: ['97-54=43', '43-9=34'] Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,85 unequal: No Solution Exploring Operation: 234=68, Resulting Numbers: [68] 68,85 unequal: No Solution Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 85:[43, 18], Operations: ['97-54=43', '29=18'] Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,85 unequal: No Solution Exploring Operation: 43+18=61, Resulting Numbers: [61] 61,85 unequal: No Solution Exploring Operation: 43*18=774, Resulting Numbers: [774] 774,85 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_3	sum_heuristic
[ 32, 10, 56, 50 ]	64	[ "32+10=42", "56+50=106", "106-42=64" ]	Current State: 64:[32, 10, 56, 50], Operations: [] Exploring Operation: 32+10=42, Resulting Numbers: [56, 50, 42] Generated Node #2: [56, 50, 42] from Operation: 32+10=42 Current State: 64:[56, 50, 42], Operations: ['32+10=42'] Exploring Operation: 56+50=106, Resulting Numbers: [42, 106] Generated Node #3: [42, 106] from Operation: 56+50=106 Current State: 64:[42, 106], Operations: ['32+10=42', '56+50=106'] Exploring Operation: 106-42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached	4	Current State: 64:[32, 10, 56, 50], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [32, 10, 6] Generated Node #0,0: 64:[32, 10, 6] Operation: 56-50=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[32, 10, 6], Operations: ['56-50=6'] Exploring Operation: 10+6=16, Resulting Numbers: [32, 16] Generated Node #0,0,0: 64:[32, 16] Operation: 10+6=16 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 64:[32, 16], Operations: ['56-50=6', '10+6=16'] Exploring Operation: 32-16=16, Resulting Numbers: [16] 16,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 40, 27, 25, 88 ]	28	[ "25*88=2200", "2200/40=55", "55-27=28" ]	Current State: 28:[40, 27, 25, 88], Operations: [] Exploring Operation: 2588=2200, Resulting Numbers: [40, 27, 2200] Generated Node #2: [40, 27, 2200] from Operation: 2588=2200 Current State: 28:[40, 27, 2200], Operations: ['2588=2200'] Exploring Operation: 2200/40=55, Resulting Numbers: [27, 55] Generated Node #3: [27, 55] from Operation: 2200/40=55 Current State: 28:[27, 55], Operations: ['2588=2200', '2200/40=55'] Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached	4	Current State: 28:[40, 27, 25, 88], Operations: [] Exploring Operation: 88-40=48, Resulting Numbers: [27, 25, 48] Generated Node #0,0: 28:[27, 25, 48] Operation: 88-40=48 Exploring Operation: 88-27=61, Resulting Numbers: [40, 25, 61] Generated Node #0,1: 28:[40, 25, 61] Operation: 88-27=61 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[27, 25, 48], Operations: ['88-40=48'] Exploring Operation: 48-27=21, Resulting Numbers: [25, 21] Generated Node #0,0,0: 28:[25, 21] Operation: 48-27=21 Exploring Operation: 48-25=23, Resulting Numbers: [27, 23] Generated Node #0,0,1: 28:[27, 23] Operation: 48-25=23 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 28:[27, 23], Operations: ['88-40=48', '48-25=23'] Exploring Operation: 27-23=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 27+23=50, Resulting Numbers: [50] 50,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 28:[25, 21], Operations: ['88-40=48', '48-27=21'] Exploring Operation: 25-21=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[40, 25, 61], Operations: ['88-27=61'] Exploring Operation: 61-40=21, Resulting Numbers: [25, 21] Generated Node #0,1,0: 28:[25, 21] Operation: 61-40=21 Exploring Operation: 61-25=36, Resulting Numbers: [40, 36] Generated Node #0,1,1: 28:[40, 36] Operation: 61-25=36 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 28:[25, 21], Operations: ['88-27=61', '61-40=21'] Exploring Operation: 25-21=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 28:[40, 36], Operations: ['88-27=61', '61-25=36'] Exploring Operation: 40-36=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 40+36=76, Resulting Numbers: [76] 76,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_2	sum_heuristic
[ 10, 9, 5, 12 ]	95	[ "9+12=21", "5*21=105", "105-10=95" ]	Current State: 95:[10, 9, 5, 12], Operations: [] Exploring Operation: 9+12=21, Resulting Numbers: [10, 5, 21] Generated Node #2: [10, 5, 21] from Operation: 9+12=21 Current State: 95:[10, 5, 21], Operations: ['9+12=21'] Exploring Operation: 521=105, Resulting Numbers: [10, 105] Generated Node #3: [10, 105] from Operation: 521=105 Current State: 95:[10, 105], Operations: ['9+12=21', '5*21=105'] Exploring Operation: 105-10=95, Resulting Numbers: [95] 95,95 equal: Goal Reached	4	Current State: 95:[10, 9, 5, 12], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [10, 5, 3] Generated Node #0,0: 95:[10, 5, 3] Operation: 12-9=3 Exploring Operation: 10+12=22, Resulting Numbers: [9, 5, 22] Generated Node #0,1: 95:[9, 5, 22] Operation: 10+12=22 Exploring Operation: 10+9=19, Resulting Numbers: [5, 12, 19] Generated Node #0,2: 95:[5, 12, 19] Operation: 10+9=19 Exploring Operation: 9+12=21, Resulting Numbers: [10, 5, 21] Generated Node #0,3: 95:[10, 5, 21] Operation: 9+12=21 Exploring Operation: 12-10=2, Resulting Numbers: [9, 5, 2] Generated Node #0,4: 95:[9, 5, 2] Operation: 12-10=2 Moving to Node #0,0 Current State: 95:[10, 5, 3], Operations: ['12-9=3'] Exploring Operation: 10-3=7, Resulting Numbers: [5, 7] Generated Node #0,0,0: 95:[5, 7] Operation: 10-3=7 Exploring Operation: 10-5=5, Resulting Numbers: [3, 5] Generated Node #0,0,1: 95:[3, 5] Operation: 10-5=5 Exploring Operation: 10+5=15, Resulting Numbers: [3, 15] Generated Node #0,0,2: 95:[3, 15] Operation: 10+5=15 Exploring Operation: 10+3=13, Resulting Numbers: [5, 13] Generated Node #0,0,3: 95:[5, 13] Operation: 10+3=13 Exploring Operation: 10/5=2, Resulting Numbers: [3, 2] Generated Node #0,0,4: 95:[3, 2] Operation: 10/5=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 95:[5, 7], Operations: ['12-9=3', '10-3=7'] Exploring Operation: 57=35, Resulting Numbers: [35] 35,95 unequal: No Solution Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,95 unequal: No Solution Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 95:[3, 5], Operations: ['12-9=3', '10-5=5'] Exploring Operation: 35=15, Resulting Numbers: [15] 15,95 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 3+5=8, Resulting Numbers: [8] 8,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 95:[3, 2], Operations: ['12-9=3', '10/5=2'] Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,95 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,95 unequal: No Solution Exploring Operation: 32=6, Resulting Numbers: [6] 6,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 95:[3, 15], Operations: ['12-9=3', '10+5=15'] Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,95 unequal: No Solution Exploring Operation: 315=45, Resulting Numbers: [45] 45,95 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,95 unequal: No Solution Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 95:[5, 13], Operations: ['12-9=3', '10+3=13'] Exploring Operation: 13-5=8, Resulting Numbers: [8] 8,95 unequal: No Solution Exploring Operation: 513=65, Resulting Numbers: [65] 65,95 unequal: No Solution Exploring Operation: 5+13=18, Resulting Numbers: [18] 18,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 95:[5, 12, 19], Operations: ['10+9=19'] Exploring Operation: 12-5=7, Resulting Numbers: [19, 7] Generated Node #0,2,0: 95:[19, 7] Operation: 12-5=7 Exploring Operation: 5+12=17, Resulting Numbers: [19, 17] Generated Node #0,2,1: 95:[19, 17] Operation: 5+12=17 Exploring Operation: 5+19=24, Resulting Numbers: [12, 24] Generated Node #0,2,2: 95:[12, 24] Operation: 5+19=24 Exploring Operation: 519=95, Resulting Numbers: [12, 95] Generated Node #0,2,3: 95:[12, 95] Operation: 519=95 Exploring Operation: 19-12=7, Resulting Numbers: [5, 7] Generated Node #0,2,4: 95:[5, 7] Operation: 19-12=7 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 95:[19, 7], Operations: ['10+9=19', '12-5=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,95 unequal: No Solution Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,95 unequal: No Solution Exploring Operation: 197=133, Resulting Numbers: [133] 133,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 95:[19, 17], Operations: ['10+9=19', '5+12=17'] Exploring Operation: 19-17=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 19+17=36, Resulting Numbers: [36] 36,95 unequal: No Solution Exploring Operation: 1917=323, Resulting Numbers: [323] 323,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 95:[5, 7], Operations: ['10+9=19', '19-12=7'] Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,95 unequal: No Solution Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 57=35, Resulting Numbers: [35] 35,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 95:[12, 95], Operations: ['10+9=19', '519=95'] Exploring Operation: 12+95=107, Resulting Numbers: [107] 107,95 unequal: No Solution Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,95 unequal: No Solution Exploring Operation: 1295=1140, Resulting Numbers: [1140] 1140,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 95:[12, 24], Operations: ['10+9=19', '5+19=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,95 unequal: No Solution Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,95 unequal: No Solution Exploring Operation: 1224=288, Resulting Numbers: [288] 288,95 unequal: No Solution Exploring Operation: 24/12=2, Resulting Numbers: [2] 2,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 95:[9, 5, 2], Operations: ['12-10=2'] Exploring Operation: 9-5=4, Resulting Numbers: [2, 4] Generated Node #0,4,0: 95:[2, 4] Operation: 9-5=4 Exploring Operation: 9-2=7, Resulting Numbers: [5, 7] Generated Node #0,4,1: 95:[5, 7] Operation: 9-2=7 Exploring Operation: 9+2=11, Resulting Numbers: [5, 11] Generated Node #0,4,2: 95:[5, 11] Operation: 9+2=11 Exploring Operation: 5+2=7, Resulting Numbers: [9, 7] Generated Node #0,4,3: 95:[9, 7] Operation: 5+2=7 Exploring Operation: 92=18, Resulting Numbers: [5, 18] Generated Node #0,4,4: 95:[5, 18] Operation: 92=18 Moving to Node #0,1 Current State: 95:[9, 5, 22], Operations: ['10+12=22'] Exploring Operation: 22-9=13, Resulting Numbers: [5, 13] Generated Node #0,1,0: 95:[5, 13] Operation: 22-9=13 Exploring Operation: 9+22=31, Resulting Numbers: [5, 31] Generated Node #0,1,1: 95:[5, 31] Operation: 9+22=31 Exploring Operation: 22-5=17, Resulting Numbers: [9, 17] Generated Node #0,1,2: 95:[9, 17] Operation: 22-5=17 Exploring Operation: 9+5=14, Resulting Numbers: [22, 14] Generated Node #0,1,3: 95:[22, 14] Operation: 9+5=14 Exploring Operation: 9-5=4, Resulting Numbers: [22, 4] Generated Node #0,1,4: 95:[22, 4] Operation: 9-5=4 Moving to Node #0,3 Current State: 95:[10, 5, 21], Operations: ['9+12=21'] Exploring Operation: 21-10=11, Resulting Numbers: [5, 11] Generated Node #0,3,0: 95:[5, 11] Operation: 21-10=11 Exploring Operation: 21-5=16, Resulting Numbers: [10, 16] Generated Node #0,3,1: 95:[10, 16] Operation: 21-5=16 Exploring Operation: 10+5=15, Resulting Numbers: [21, 15] Generated Node #0,3,2: 95:[21, 15] Operation: 10+5=15 Exploring Operation: 10/5=2, Resulting Numbers: [21, 2] Generated Node #0,3,3: 95:[21, 2] Operation: 10/5=2 Exploring Operation: 10-5=5, Resulting Numbers: [21, 5] Generated Node #0,3,4: 95:[21, 5] Operation: 10-5=5 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 95:[21, 5], Operations: ['9+12=21', '10-5=5'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,95 unequal: No Solution Exploring Operation: 215=105, Resulting Numbers: [105] 105,95 unequal: No Solution Exploring Operation: 21+5=26, Resulting Numbers: [26] 26,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 95:[21, 2], Operations: ['9+12=21', '10/5=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,95 unequal: No Solution Exploring Operation: 212=42, Resulting Numbers: [42] 42,95 unequal: No Solution Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 95:[5, 11], Operations: ['9+12=21', '21-10=11'] Exploring Operation: 511=55, Resulting Numbers: [55] 55,95 unequal: No Solution Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,95 unequal: No Solution Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 95:[21, 15], Operations: ['9+12=21', '10+5=15'] Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,95 unequal: No Solution Exploring Operation: 2115=315, Resulting Numbers: [315] 315,95 unequal: No Solution Exploring Operation: 21+15=36, Resulting Numbers: [36] 36,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 95:[10, 16], Operations: ['9+12=21', '21-5=16'] Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,95 unequal: No Solution Exploring Operation: 1016=160, Resulting Numbers: [160] 160,95 unequal: No Solution Exploring Operation: 16-10=6, Resulting Numbers: [6] 6,95 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4,4 Current State: 95:[5, 18], Operations: ['12-10=2', '92=18'] Exploring Operation: 518=90, Resulting Numbers: [90] 90,95 unequal: No Solution Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,95 unequal: No Solution Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,95 unequal: No Solution Moving to Node #0,4,1 Current State: 95:[5, 7], Operations: ['12-10=2', '9-2=7'] Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 57=35, Resulting Numbers: [35] 35,95 unequal: No Solution Exploring Operation: 5+7=12, Resulting Numbers: [12] 12,95 unequal: No Solution Moving to Node #0,4,0 Current State: 95:[2, 4], Operations: ['12-10=2', '9-5=4'] Exploring Operation: 24=8, Resulting Numbers: [8] 8,95 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,95 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,95 unequal: No Solution Moving to Node #0,1,4 Current State: 95:[22, 4], Operations: ['10+12=22', '9-5=4'] Exploring Operation: 224=88, Resulting Numbers: [88] 88,95 unequal: No Solution Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,95 unequal: No Solution Exploring Operation: 22+4=26, Resulting Numbers: [26] 26,95 unequal: No Solution Moving to Node #0,1,0 Current State: 95:[5, 13], Operations: ['10+12=22', '22-9=13'] Exploring Operation: 13-5=8, Resulting Numbers: [8] 8,95 unequal: No Solution Exploring Operation: 513=65, Resulting Numbers: [65] 65,95 unequal: No Solution Exploring Operation: 5+13=18, Resulting Numbers: [18] 18,95 unequal: No Solution Moving to Node #0,1,2 Current State: 95:[9, 17], Operations: ['10+12=22', '22-5=17'] Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,95 unequal: No Solution Exploring Operation: 917=153, Resulting Numbers: [153] 153,95 unequal: No Solution Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,95 unequal: No Solution Moving to Node #0,4,3 Current State: 95:[9, 7], Operations: ['12-10=2', '5+2=7'] Exploring Operation: 9-7=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 97=63, Resulting Numbers: [63] 63,95 unequal: No Solution Exploring Operation: 9+7=16, Resulting Numbers: [16] 16,95 unequal: No Solution Moving to Node #0,4,2 Current State: 95:[5, 11], Operations: ['12-10=2', '9+2=11'] Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,95 unequal: No Solution Exploring Operation: 511=55, Resulting Numbers: [55] 55,95 unequal: No Solution Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,95 unequal: No Solution Moving to Node #0,1,3 Current State: 95:[22, 14], Operations: ['10+12=22', '9+5=14'] Exploring Operation: 2214=308, Resulting Numbers: [308] 308,95 unequal: No Solution Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,95 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,95 unequal: No Solution Moving to Node #0,1,1 Current State: 95:[5, 31], Operations: ['10+12=22', '9+22=31'] Exploring Operation: 5+31=36, Resulting Numbers: [36] 36,95 unequal: No Solution Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,95 unequal: No Solution Exploring Operation: 5*31=155, Resulting Numbers: [155] 155,95 unequal: No Solution No solution found.	0	hs_5	mult_heuristic
[ 88, 3, 90, 39 ]	15	[ "90-88=2", "39/3=13", "2+13=15" ]	Current State: 15:[88, 3, 90, 39], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [3, 39, 2] Generated Node #2: [3, 39, 2] from Operation: 90-88=2 Current State: 15:[3, 39, 2], Operations: ['90-88=2'] Exploring Operation: 39/3=13, Resulting Numbers: [2, 13] Generated Node #3: [2, 13] from Operation: 39/3=13 Current State: 15:[2, 13], Operations: ['90-88=2', '39/3=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached	4	Current State: 15:[88, 3, 90, 39], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [3, 39, 2] Generated Node #0,0: 15:[3, 39, 2] Operation: 90-88=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 15:[3, 39, 2], Operations: ['90-88=2'] Exploring Operation: 39/3=13, Resulting Numbers: [2, 13] Generated Node #0,0,0: 15:[2, 13] Operation: 39/3=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 15:[2, 13], Operations: ['90-88=2', '39/3=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[88, 3, 90, 39], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [3, 39, 2] Generated Node #0,0: 15:[3, 39, 2] Operation: 90-88=2 Moving to Node #0,0 Current State: 15:[3, 39, 2], Operations: ['90-88=2'] Exploring Operation: 39/3=13, Resulting Numbers: [2, 13] Generated Node #0,0,0: 15:[2, 13] Operation: 39/3=13 Moving to Node #0,0,0 Current State: 15:[2, 13], Operations: ['90-88=2', '39/3=13'] Exploring Operation: 2+13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.993924	hs_1	sum_heuristic
[ 48, 8, 74, 44 ]	36	[ "48/8=6", "74-44=30", "6+30=36" ]	Current State: 36:[48, 8, 74, 44], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [74, 44, 6] Generated Node #2: [74, 44, 6] from Operation: 48/8=6 Current State: 36:[74, 44, 6], Operations: ['48/8=6'] Exploring Operation: 74-44=30, Resulting Numbers: [6, 30] Generated Node #3: [6, 30] from Operation: 74-44=30 Current State: 36:[6, 30], Operations: ['48/8=6', '74-44=30'] Exploring Operation: 6+30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached	4	Current State: 36:[48, 8, 74, 44], Operations: [] Exploring Operation: 74-44=30, Resulting Numbers: [48, 8, 30] Generated Node #0,0: 36:[48, 8, 30] Operation: 74-44=30 Exploring Operation: 48/8=6, Resulting Numbers: [74, 44, 6] Generated Node #0,1: 36:[74, 44, 6] Operation: 48/8=6 Exploring Operation: 74-48=26, Resulting Numbers: [8, 44, 26] Generated Node #0,2: 36:[8, 44, 26] Operation: 74-48=26 Exploring Operation: 48-44=4, Resulting Numbers: [8, 74, 4] Generated Node #0,3: 36:[8, 74, 4] Operation: 48-44=4 Start Sub Search at level 1: Moving to Node #0,2 Current State: 36:[8, 44, 26], Operations: ['74-48=26'] Exploring Operation: 26-8=18, Resulting Numbers: [44, 18] Generated Node #0,2,0: 36:[44, 18] Operation: 26-8=18 Exploring Operation: 44-8=36, Resulting Numbers: [26, 36] Generated Node #0,2,1: 36:[26, 36] Operation: 44-8=36 Exploring Operation: 8+26=34, Resulting Numbers: [44, 34] Generated Node #0,2,2: 36:[44, 34] Operation: 8+26=34 Exploring Operation: 44-26=18, Resulting Numbers: [8, 18] Generated Node #0,2,3: 36:[8, 18] Operation: 44-26=18 Moving to Node #0,2,3 Current State: 36:[8, 18], Operations: ['74-48=26', '44-26=18'] Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 818=144, Resulting Numbers: [144] 144,36 unequal: No Solution Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,36 unequal: No Solution Moving to Node #0,2,1 Current State: 36:[26, 36], Operations: ['74-48=26', '44-8=36'] Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,36 unequal: No Solution Exploring Operation: 2636=936, Resulting Numbers: [936] 936,36 unequal: No Solution Moving to Node #0,2,0 Current State: 36:[44, 18], Operations: ['74-48=26', '26-8=18'] Exploring Operation: 44-18=26, Resulting Numbers: [26] 26,36 unequal: No Solution Exploring Operation: 4418=792, Resulting Numbers: [792] 792,36 unequal: No Solution Exploring Operation: 44+18=62, Resulting Numbers: [62] 62,36 unequal: No Solution Moving to Node #0,2,2 Current State: 36:[44, 34], Operations: ['74-48=26', '8+26=34'] Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 4434=1496, Resulting Numbers: [1496] 1496,36 unequal: No Solution Exploring Operation: 44+34=78, Resulting Numbers: [78] 78,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[48, 8, 30], Operations: ['74-44=30'] Exploring Operation: 48-30=18, Resulting Numbers: [8, 18] Generated Node #0,0,0: 36:[8, 18] Operation: 48-30=18 Exploring Operation: 48/8=6, Resulting Numbers: [30, 6] Generated Node #0,0,1: 36:[30, 6] Operation: 48/8=6 Exploring Operation: 8+30=38, Resulting Numbers: [48, 38] Generated Node #0,0,2: 36:[48, 38] Operation: 8+30=38 Exploring Operation: 48-8=40, Resulting Numbers: [30, 40] Generated Node #0,0,3: 36:[30, 40] Operation: 48-8=40 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 36:[8, 18], Operations: ['74-44=30', '48-30=18'] Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,36 unequal: No Solution Exploring Operation: 8*18=144, Resulting Numbers: [144] 144,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 36:[30, 6], Operations: ['74-44=30', '48/8=6'] Exploring Operation: 30-6=24, Resulting Numbers: [24] 24,36 unequal: No Solution Exploring Operation: 30/6=5, Resulting Numbers: [5] 5,36 unequal: No Solution Exploring Operation: 30+6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[48, 8, 74, 44], Operations: [] Exploring Operation: 74-44=30, Resulting Numbers: [48, 8, 30] Generated Node #0,0: 36:[48, 8, 30] Operation: 74-44=30 Moving to Node #0,0 Current State: 36:[48, 8, 30], Operations: ['74-44=30'] Exploring Operation: 48/8=6, Resulting Numbers: [30, 6] Generated Node #0,0,1: 36:[30, 6] Operation: 48/8=6 Moving to Node #0,0,1 Current State: 36:[30, 6], Operations: ['74-44=30', '48/8=6'] Exploring Operation: 30+6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1	0.970486	hs_4	sum_heuristic
[ 48, 43, 51, 5 ]	11	[ "51-43=8", "48/8=6", "5+6=11" ]	Current State: 11:[48, 43, 51, 5], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [48, 5, 8] Generated Node #2: [48, 5, 8] from Operation: 51-43=8 Current State: 11:[48, 5, 8], Operations: ['51-43=8'] Exploring Operation: 48/8=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 48/8=6 Current State: 11:[5, 6], Operations: ['51-43=8', '48/8=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	4	Current State: 11:[48, 43, 51, 5], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [43, 5, 3] Generated Node #0,0: 11:[43, 5, 3] Operation: 51-48=3 Exploring Operation: 51-43=8, Resulting Numbers: [48, 5, 8] Generated Node #0,1: 11:[48, 5, 8] Operation: 51-43=8 Moving to Node #0,0 Current State: 11:[43, 5, 3], Operations: ['51-48=3'] Exploring Operation: 43-3=40, Resulting Numbers: [5, 40] Generated Node #0,0,0: 11:[5, 40] Operation: 43-3=40 Exploring Operation: 43-5=38, Resulting Numbers: [3, 38] Generated Node #0,0,1: 11:[3, 38] Operation: 43-5=38 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 11:[5, 40], Operations: ['51-48=3', '43-3=40'] Exploring Operation: 40/5=8, Resulting Numbers: [8] 8,11 unequal: No Solution Exploring Operation: 40-5=35, Resulting Numbers: [35] 35,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 11:[3, 38], Operations: ['51-48=3', '43-5=38'] Exploring Operation: 3+38=41, Resulting Numbers: [41] 41,11 unequal: No Solution Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 11:[48, 5, 8], Operations: ['51-43=8'] Exploring Operation: 48-5=43, Resulting Numbers: [8, 43] Generated Node #0,1,0: 11:[8, 43] Operation: 48-5=43 Exploring Operation: 48/8=6, Resulting Numbers: [5, 6] Generated Node #0,1,1: 11:[5, 6] Operation: 48/8=6 Moving to Node #0,1,1 Current State: 11:[5, 6], Operations: ['51-43=8', '48/8=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[48, 43, 51, 5], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [48, 5, 8] Generated Node #0,1: 11:[48, 5, 8] Operation: 51-43=8 Moving to Node #0,1 Current State: 11:[48, 5, 8], Operations: ['51-43=8'] Exploring Operation: 48/8=6, Resulting Numbers: [5, 6] Generated Node #0,1,1: 11:[5, 6] Operation: 48/8=6 Moving to Node #0,1,1 Current State: 11:[5, 6], Operations: ['51-43=8', '48/8=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached	0.986979	hs_2	mult_heuristic
[ 2, 10, 20, 28 ]	56	[ "10-2=8", "20+28=48", "8+48=56" ]	Current State: 56:[2, 10, 20, 28], Operations: [] Exploring Operation: 10-2=8, Resulting Numbers: [20, 28, 8] Generated Node #2: [20, 28, 8] from Operation: 10-2=8 Current State: 56:[20, 28, 8], Operations: ['10-2=8'] Exploring Operation: 20+28=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 20+28=48 Current State: 56:[8, 48], Operations: ['10-2=8', '20+28=48'] Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	4	Current State: 56:[2, 10, 20, 28], Operations: [] Exploring Operation: 20-10=10, Resulting Numbers: [2, 28, 10] Generated Node #0,0: 56:[2, 28, 10] Operation: 20-10=10 Exploring Operation: 20/2=10, Resulting Numbers: [10, 28, 10] Generated Node #0,1: 56:[10, 28, 10] Operation: 20/2=10 Exploring Operation: 20/10=2, Resulting Numbers: [2, 28, 2] Generated Node #0,2: 56:[2, 28, 2] Operation: 20/10=2 Exploring Operation: 28-20=8, Resulting Numbers: [2, 10, 8] Generated Node #0,3: 56:[2, 10, 8] Operation: 28-20=8 Exploring Operation: 10+20=30, Resulting Numbers: [2, 28, 30] Generated Node #0,4: 56:[2, 28, 30] Operation: 10+20=30 Moving to Node #0,2 Current State: 56:[2, 28, 2], Operations: ['20/10=2'] Exploring Operation: 228=56, Resulting Numbers: [2, 56] Generated Node #0,2,0: 56:[2, 56] Operation: 228=56 Exploring Operation: 282=56, Resulting Numbers: [2, 56] Generated Node #0,2,1: 56:[2, 56] Operation: 282=56 Exploring Operation: 22=4, Resulting Numbers: [28, 4] Generated Node #0,2,2: 56:[28, 4] Operation: 22=4 Exploring Operation: 2+2=4, Resulting Numbers: [28, 4] Generated Node #0,2,3: 56:[28, 4] Operation: 2+2=4 Exploring Operation: 28/2=14, Resulting Numbers: [2, 14] Generated Node #0,2,4: 56:[2, 14] Operation: 28/2=14 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 56:[2, 56], Operations: ['20/10=2', '228=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,56 unequal: No Solution Exploring Operation: 256=112, Resulting Numbers: [112] 112,56 unequal: No Solution Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,56 unequal: No Solution Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 56:[2, 56], Operations: ['20/10=2', '282=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,56 unequal: No Solution Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,56 unequal: No Solution Exploring Operation: 256=112, Resulting Numbers: [112] 112,56 unequal: No Solution Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 56:[28, 4], Operations: ['20/10=2', '22=4'] Exploring Operation: 284=112, Resulting Numbers: [112] 112,56 unequal: No Solution Exploring Operation: 28/4=7, Resulting Numbers: [7] 7,56 unequal: No Solution Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,56 unequal: No Solution Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 56:[28, 4], Operations: ['20/10=2', '2+2=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,56 unequal: No Solution Exploring Operation: 28-4=24, Resulting Numbers: [24] 24,56 unequal: No Solution Exploring Operation: 28/4=7, Resulting Numbers: [7] 7,56 unequal: No Solution Exploring Operation: 284=112, Resulting Numbers: [112] 112,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 56:[2, 14], Operations: ['20/10=2', '28/2=14'] Exploring Operation: 14/2=7, Resulting Numbers: [7] 7,56 unequal: No Solution Exploring Operation: 2+14=16, Resulting Numbers: [16] 16,56 unequal: No Solution Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 214=28, Resulting Numbers: [28] 28,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 56:[2, 10, 8], Operations: ['28-20=8'] Exploring Operation: 10-8=2, Resulting Numbers: [2, 2] Generated Node #0,3,0: 56:[2, 2] Operation: 10-8=2 Exploring Operation: 10/2=5, Resulting Numbers: [8, 5] Generated Node #0,3,1: 56:[8, 5] Operation: 10/2=5 Exploring Operation: 2+10=12, Resulting Numbers: [8, 12] Generated Node #0,3,2: 56:[8, 12] Operation: 2+10=12 Exploring Operation: 10-2=8, Resulting Numbers: [8, 8] Generated Node #0,3,3: 56:[8, 8] Operation: 10-2=8 Exploring Operation: 8/2=4, Resulting Numbers: [10, 4] Generated Node #0,3,4: 56:[10, 4] Operation: 8/2=4 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 56:[2, 2], Operations: ['28-20=8', '10-8=2'] Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,56 unequal: No Solution Exploring Operation: 22=4, Resulting Numbers: [4] 4,56 unequal: No Solution Exploring Operation: 2-2=0, Resulting Numbers: [0] 0,56 unequal: No Solution Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 56:[8, 8], Operations: ['28-20=8', '10-2=8'] Exploring Operation: 88=64, Resulting Numbers: [64] 64,56 unequal: No Solution Exploring Operation: 8-8=0, Resulting Numbers: [0] 0,56 unequal: No Solution Exploring Operation: 8/8=1, Resulting Numbers: [1] 1,56 unequal: No Solution Exploring Operation: 8+8=16, Resulting Numbers: [16] 16,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 56:[8, 5], Operations: ['28-20=8', '10/2=5'] Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,56 unequal: No Solution Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,56 unequal: No Solution Exploring Operation: 85=40, Resulting Numbers: [40] 40,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 56:[8, 12], Operations: ['28-20=8', '2+10=12'] Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,56 unequal: No Solution Exploring Operation: 812=96, Resulting Numbers: [96] 96,56 unequal: No Solution Exploring Operation: 8+12=20, Resulting Numbers: [20] 20,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 56:[10, 4], Operations: ['28-20=8', '8/2=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,56 unequal: No Solution Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,56 unequal: No Solution Exploring Operation: 104=40, Resulting Numbers: [40] 40,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 56:[2, 28, 10], Operations: ['20-10=10'] Exploring Operation: 10/2=5, Resulting Numbers: [28, 5] Generated Node #0,0,0: 56:[28, 5] Operation: 10/2=5 Exploring Operation: 28/2=14, Resulting Numbers: [10, 14] Generated Node #0,0,1: 56:[10, 14] Operation: 28/2=14 Exploring Operation: 228=56, Resulting Numbers: [10, 56] Generated Node #0,0,2: 56:[10, 56] Operation: 228=56 Exploring Operation: 10-2=8, Resulting Numbers: [28, 8] Generated Node #0,0,3: 56:[28, 8] Operation: 10-2=8 Exploring Operation: 2+10=12, Resulting Numbers: [28, 12] Generated Node #0,0,4: 56:[28, 12] Operation: 2+10=12 Moving to Node #0,4 Current State: 56:[2, 28, 30], Operations: ['10+20=30'] Exploring Operation: 30-2=28, Resulting Numbers: [28, 28] Generated Node #0,4,0: 56:[28, 28] Operation: 30-2=28 Exploring Operation: 228=56, Resulting Numbers: [30, 56] Generated Node #0,4,1: 56:[30, 56] Operation: 228=56 Exploring Operation: 30/2=15, Resulting Numbers: [28, 15] Generated Node #0,4,2: 56:[28, 15] Operation: 30/2=15 Exploring Operation: 28/2=14, Resulting Numbers: [30, 14] Generated Node #0,4,3: 56:[30, 14] Operation: 28/2=14 Exploring Operation: 30-28=2, Resulting Numbers: [2, 2] Generated Node #0,4,4: 56:[2, 2] Operation: 30-28=2 Moving to Node #0,1 Current State: 56:[10, 28, 10], Operations: ['20/2=10'] Exploring Operation: 10-10=0, Resulting Numbers: [28, 0] Generated Node #0,1,0: 56:[28, 0] Operation: 10-10=0 Exploring Operation: 10+10=20, Resulting Numbers: [28, 20] Generated Node #0,1,1: 56:[28, 20] Operation: 10+10=20 Exploring Operation: 10/10=1, Resulting Numbers: [28, 1] Generated Node #0,1,2: 56:[28, 1] Operation: 10/10=1 Exploring Operation: 28-10=18, Resulting Numbers: [10, 18] Generated Node #0,1,3: 56:[10, 18] Operation: 28-10=18 Exploring Operation: 28-10=18, Resulting Numbers: [10, 18] Generated Node #0,1,4: 56:[10, 18] Operation: 28-10=18 Moving to Node #0,0,3 Current State: 56:[28, 8], Operations: ['20-10=10', '10-2=8'] Exploring Operation: 28+8=36, Resulting Numbers: [36] 36,56 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,56 unequal: No Solution Exploring Operation: 288=224, Resulting Numbers: [224] 224,56 unequal: No Solution Moving to Node #0,4,0 Current State: 56:[28, 28], Operations: ['10+20=30', '30-2=28'] Exploring Operation: 28/28=1, Resulting Numbers: [1] 1,56 unequal: No Solution Exploring Operation: 28*28=784, Resulting Numbers: [784] 784,56 unequal: No Solution Exploring Operation: 28-28=0, Resulting Numbers: [0] 0,56 unequal: No Solution Exploring Operation: 28+28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[2, 10, 20, 28], Operations: [] Exploring Operation: 10+20=30, Resulting Numbers: [2, 28, 30] Generated Node #0,4: 56:[2, 28, 30] Operation: 10+20=30 Moving to Node #0,4 Current State: 56:[2, 28, 30], Operations: ['10+20=30'] Exploring Operation: 30-2=28, Resulting Numbers: [28, 28] Generated Node #0,4,0: 56:[28, 28] Operation: 30-2=28 Moving to Node #0,4,0 Current State: 56:[28, 28], Operations: ['10+20=30', '30-2=28'] Exploring Operation: 28+28=56, Resulting Numbers: [56] 56,56 equal: Goal Reached	0.932292	hs_5	mult_heuristic
[ 53, 65, 2, 74 ]	84	[ "65-53=12", "74-2=72", "12+72=84" ]	Current State: 84:[53, 65, 2, 74], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [2, 74, 12] Generated Node #2: [2, 74, 12] from Operation: 65-53=12 Current State: 84:[2, 74, 12], Operations: ['65-53=12'] Exploring Operation: 74-2=72, Resulting Numbers: [12, 72] Generated Node #3: [12, 72] from Operation: 74-2=72 Current State: 84:[12, 72], Operations: ['65-53=12', '74-2=72'] Exploring Operation: 12+72=84, Resulting Numbers: [84] 84,84 equal: Goal Reached	4	Current State: 84:[53, 65, 2, 74], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [2, 74, 12] Generated Node #0,0: 84:[2, 74, 12] Operation: 65-53=12 Exploring Operation: 74-65=9, Resulting Numbers: [53, 2, 9] Generated Node #0,1: 84:[53, 2, 9] Operation: 74-65=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[2, 74, 12], Operations: ['65-53=12'] Exploring Operation: 74+12=86, Resulting Numbers: [2, 86] Generated Node #0,0,0: 84:[2, 86] Operation: 74+12=86 Exploring Operation: 74/2=37, Resulting Numbers: [12, 37] Generated Node #0,0,1: 84:[12, 37] Operation: 74/2=37 Moving to Node #0,0,0 Current State: 84:[2, 86], Operations: ['65-53=12', '74+12=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,84 unequal: No Solution Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[53, 65, 2, 74], Operations: [] Exploring Operation: 65-53=12, Resulting Numbers: [2, 74, 12] Generated Node #0,0: 84:[2, 74, 12] Operation: 65-53=12 Moving to Node #0,0 Current State: 84:[2, 74, 12], Operations: ['65-53=12'] Exploring Operation: 74+12=86, Resulting Numbers: [2, 86] Generated Node #0,0,0: 84:[2, 86] Operation: 74+12=86 Moving to Node #0,0,0 Current State: 84:[2, 86], Operations: ['65-53=12', '74+12=86'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 1	0.991319	hs_2	mult_heuristic
[ 21, 49, 71, 35 ]	100	[ "49*71=3479", "21+3479=3500", "3500/35=100" ]	Current State: 100:[21, 49, 71, 35], Operations: [] Exploring Operation: 4971=3479, Resulting Numbers: [21, 35, 3479] Generated Node #2: [21, 35, 3479] from Operation: 4971=3479 Current State: 100:[21, 35, 3479], Operations: ['4971=3479'] Exploring Operation: 21+3479=3500, Resulting Numbers: [35, 3500] Generated Node #3: [35, 3500] from Operation: 21+3479=3500 Current State: 100:[35, 3500], Operations: ['4971=3479', '21+3479=3500'] Exploring Operation: 3500/35=100, Resulting Numbers: [100] 100,100 equal: Goal Reached	4	Current State: 100:[21, 49, 71, 35], Operations: [] Exploring Operation: 71+35=106, Resulting Numbers: [21, 49, 106] Generated Node #0,0: 100:[21, 49, 106] Operation: 71+35=106 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[21, 49, 106], Operations: ['71+35=106'] Exploring Operation: 106-49=57, Resulting Numbers: [21, 57] Generated Node #0,0,0: 100:[21, 57] Operation: 106-49=57 Moving to Node #0,0,0 Current State: 100:[21, 57], Operations: ['71+35=106', '106-49=57'] Exploring Operation: 57-21=36, Resulting Numbers: [36] 36,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	mult_heuristic
[ 92, 52, 46, 92 ]	72	[ "92+52=144", "92/46=2", "144/2=72" ]	Current State: 72:[92, 52, 46, 92], Operations: [] Exploring Operation: 92+52=144, Resulting Numbers: [46, 144] Generated Node #2: [46, 144] from Operation: 92+52=144 Current State: 72:[46, 144], Operations: ['92+52=144'] Exploring Operation: 92/46=2, Resulting Numbers: [144, 2] Generated Node #3: [144, 2] from Operation: 92/46=2 Current State: 72:[144, 2], Operations: ['92+52=144', '92/46=2'] Exploring Operation: 144/2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached	4	Current State: 72:[92, 52, 46, 92], Operations: [] Exploring Operation: 92/92=1, Resulting Numbers: [52, 46, 1] Generated Node #0,0: 72:[52, 46, 1] Operation: 92/92=1 Moving to Node #0,0 Current State: 72:[52, 46, 1], Operations: ['92/92=1'] Exploring Operation: 52-46=6, Resulting Numbers: [1, 6] Generated Node #0,0,0: 72:[1, 6] Operation: 52-46=6 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 72:[1, 6], Operations: ['92/92=1', '52-46=6'] Exploring Operation: 1*6=6, Resulting Numbers: [6] 6,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.	0	hs_1	sum_heuristic
[ 19, 43, 20, 72 ]	30	[ "19+43=62", "20+72=92", "92-62=30" ]	Current State: 30:[19, 43, 20, 72], Operations: [] Exploring Operation: 19+43=62, Resulting Numbers: [20, 72, 62] Generated Node #2: [20, 72, 62] from Operation: 19+43=62 Current State: 30:[20, 72, 62], Operations: ['19+43=62'] Exploring Operation: 20+72=92, Resulting Numbers: [62, 92] Generated Node #3: [62, 92] from Operation: 20+72=92 Current State: 30:[62, 92], Operations: ['19+43=62', '20+72=92'] Exploring Operation: 92-62=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	4	Current State: 30:[19, 43, 20, 72], Operations: [] Exploring Operation: 72-20=52, Resulting Numbers: [19, 43, 52] Generated Node #0,0: 30:[19, 43, 52] Operation: 72-20=52 Exploring Operation: 72-43=29, Resulting Numbers: [19, 20, 29] Generated Node #0,1: 30:[19, 20, 29] Operation: 72-43=29 Moving to Node #0,1 Current State: 30:[19, 20, 29], Operations: ['72-43=29'] Exploring Operation: 29-19=10, Resulting Numbers: [20, 10] Generated Node #0,1,0: 30:[20, 10] Operation: 29-19=10 Exploring Operation: 20-19=1, Resulting Numbers: [29, 1] Generated Node #0,1,1: 30:[29, 1] Operation: 20-19=1 Moving to Node #0,0 Current State: 30:[19, 43, 52], Operations: ['72-20=52'] Exploring Operation: 52-43=9, Resulting Numbers: [19, 9] Generated Node #0,0,0: 30:[19, 9] Operation: 52-43=9 Exploring Operation: 52-19=33, Resulting Numbers: [43, 33] Generated Node #0,0,1: 30:[43, 33] Operation: 52-19=33 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 30:[19, 9], Operations: ['72-20=52', '52-43=9'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,30 unequal: No Solution Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 30:[43, 33], Operations: ['72-20=52', '52-19=33'] Exploring Operation: 43+33=76, Resulting Numbers: [76] 76,30 unequal: No Solution Exploring Operation: 43-33=10, Resulting Numbers: [10] 10,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 30:[29, 1], Operations: ['72-43=29', '20-19=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,30 unequal: No Solution Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[19, 43, 20, 72], Operations: [] Exploring Operation: 72-43=29, Resulting Numbers: [19, 20, 29] Generated Node #0,1: 30:[19, 20, 29] Operation: 72-43=29 Moving to Node #0,1 Current State: 30:[19, 20, 29], Operations: ['72-43=29'] Exploring Operation: 20-19=1, Resulting Numbers: [29, 1] Generated Node #0,1,1: 30:[29, 1] Operation: 20-19=1 Moving to Node #0,1,1 Current State: 30:[29, 1], Operations: ['72-43=29', '20-19=1'] Exploring Operation: 29+1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached	0.986111	hs_2	sum_heuristic

Subsets and Splits

No community queries yet

The top public SQL queries from the community will appear here once available.