Submission #1687668
Source Code Expand
def D_jump(N, D, X, Y): if X % D != 0 or Y % D != 0: # X,YがDの倍数でなければ、ゴールに到達しない return 0.0 # 単位量を1からDに変更 x = abs(X) // D y = abs(Y) // D def pascal_triangle(n): # パスカルの三角形 dp = [[0] * (n + 1) for _ in range(n + 1)] for i in range(n + 1): dp[i][0] = dp[i][i] = 1 for i in range(2, n + 1): for j in range(i): dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j] return dp c = pascal_triangle(N) # 組み合わせ数を求めるために使う ans = 0.0 for i in range(N + 1): # 左右にi回、上下にj回移動する j = N - i if x > i or y > j: # 左右/上下に移動する距離よりもゴールが遠い continue if (i - x) & 1 or (j - y) & 1: # コンビネーションの引数が整数でない continue # 左/右何回動かすか * 上/下何回動かすか * 全パターンからx軸/y軸方向に何回動かすか * 上下左右を選ぶ確率は1/4,それをN回行う # 左/右、上/下、x軸/y軸については、それぞれのどちらを選んでも組み合わせ数は等しい ans += (c[i][(i + x) // 2] * c[j][(j + y) // 2] * c[N][i]) / (4**N) return ans N,D = [int(i) for i in input().split()] X,Y = [int(i) for i in input().split()] print(D_jump(N, D, X, Y))
Submission Info
Submission Time | |
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Task | D - 大ジャンプ |
User | kenseiQ |
Language | Python (3.4.3) |
Score | 101 |
Code Size | 1530 Byte |
Status | AC |
Exec Time | 176 ms |
Memory | 58740 KB |
Judge Result
Set Name | part1 | part2 | All | ||||||
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Score / Max Score | 90 / 90 | 10 / 10 | 1 / 1 | ||||||
Status |
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Set Name | Test Cases |
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part1 | test_1_151403858_0_0AB.txt, test_1_1_0_1AB.txt, test_1_1_2_0AB.txt, test_1_200416616_-430405070_-79858930AB.txt, test_1_320861287_0_0AB.txt, test_1_445441131_0_0AB.txt, test_2_91743015_0_183486030AB.txt, test_3_165357536_496072608_0AB.txt, test_3_357154050_-106436394_768502001AB.txt, test_3_721501125_-568833455_353553641AB.txt, test_3_893846474_0_0AB.txt, test_4_291388018_-291388018_0AB.txt, test_5_318547875_955643625_-637095750AB.txt, test_5_704387671_-704387671_0AB.txt, test_5_82323965_639854915_-688317394AB.txt, test_6_187422602_374845204_-374845204AB.txt, test_6_346164451_0_0AB.txt, test_6_99058019_194123640_-837769837AB.txt, test_7_166330212_166330212_-332660424AB.txt, test_7_89698746_448493730_-179397492AB.txt, test_8_10000000_-40000000_-40000000AB.txt, test_8_10000000_0_80000000AB.txt, test_8_10000000_80000000_0AB.txt |
part2 | test_10_227248639_454497278_0B.txt, test_11_692637325_-181424149_-938839075B.txt, test_13_260236679_-780710037_-520473358B.txt, test_13_269280357_807841071_269280357B.txt, test_13_96859935_0_-581159610B.txt, test_16_40374395_-40374395_-565241530B.txt, test_1_151403858_0_0AB.txt, test_1_1_0_1AB.txt, test_1_1_2_0AB.txt, test_1_200416616_-430405070_-79858930AB.txt, test_1_320861287_0_0AB.txt, test_1_445441131_0_0AB.txt, test_21_304856339_609712678_914569017B.txt, test_26_214390232_-857560928_428780464B.txt, test_2_91743015_0_183486030AB.txt, test_30_10000000_-300000000_0B.txt, test_30_10000000_0_300000000B.txt, test_30_10000000_150000000_-150000000B.txt, test_30_54228128_0_813421920B.txt, test_3_165357536_496072608_0AB.txt, test_3_357154050_-106436394_768502001AB.txt, test_3_721501125_-568833455_353553641AB.txt, test_3_893846474_0_0AB.txt, test_4_291388018_-291388018_0AB.txt, test_5_318547875_955643625_-637095750AB.txt, test_5_704387671_-704387671_0AB.txt, test_5_82323965_639854915_-688317394AB.txt, test_6_187422602_374845204_-374845204AB.txt, test_6_346164451_0_0AB.txt, test_6_99058019_194123640_-837769837AB.txt, test_7_166330212_166330212_-332660424AB.txt, test_7_89698746_448493730_-179397492AB.txt, test_8_10000000_-40000000_-40000000AB.txt, test_8_10000000_0_80000000AB.txt, test_8_10000000_80000000_0AB.txt, test_9_283198156_849594468_849594468B.txt |
All | sample_01.txt, sample_02.txt, sample_03.txt, test_1000_1000000_-500000000_500000000.txt, test_1000_1000000_0_-1000000000.txt, test_1000_1000000_1000000000_0.txt, test_1000_150305_97998860_-32315575.txt, test_1000_1_0_0.txt, test_1000_1_2_0.txt, test_1000_1_2_2.txt, test_1000_3308678_-800700076_-350719868.txt, test_1000_3608549_811923525_689232859.txt, test_1000_3728577_-145414503_-969430020.txt, test_1000_537976_11297496_224335992.txt, test_10_227248639_454497278_0B.txt, test_11_692637325_-181424149_-938839075B.txt, test_130_95365311_-667557177_-286095933.txt, test_131_18204705_-145637640_0.txt, test_13_260236679_-780710037_-520473358B.txt, test_13_269280357_807841071_269280357B.txt, test_13_96859935_0_-581159610B.txt, test_16_40374395_-40374395_-565241530B.txt, test_1_151403858_0_0AB.txt, test_1_1_0_1AB.txt, test_1_1_2_0AB.txt, test_1_200416616_-430405070_-79858930AB.txt, test_1_320861287_0_0AB.txt, test_1_445441131_0_0AB.txt, test_210_28974130_0_260767170.txt, test_217_321156_24407856_22480920.txt, test_21_304856339_609712678_914569017B.txt, test_26_214390232_-857560928_428780464B.txt, test_289_421462830_-487186374_-417635361.txt, test_2_91743015_0_183486030AB.txt, test_30_10000000_-300000000_0B.txt, test_30_10000000_0_300000000B.txt, test_30_10000000_150000000_-150000000B.txt, test_30_54228128_0_813421920B.txt, test_339_4475128_957677392_281933064.txt, test_3_165357536_496072608_0AB.txt, test_3_357154050_-106436394_768502001AB.txt, test_3_721501125_-568833455_353553641AB.txt, test_3_893846474_0_0AB.txt, test_480_402960_-131767920_-34654560.txt, test_4_291388018_-291388018_0AB.txt, test_507_3516183_-879045750_-253165176.txt, test_515_8606048_-25818144_8606048.txt, test_522_2286376_-230923976_-18291008.txt, test_5_318547875_955643625_-637095750AB.txt, test_5_704387671_-704387671_0AB.txt, test_5_82323965_639854915_-688317394AB.txt, test_676_198114948_0_792459792.txt, test_688_151937211_-286341114_10198771.txt, test_6_187422602_374845204_-374845204AB.txt, test_6_346164451_0_0AB.txt, test_6_99058019_194123640_-837769837AB.txt, test_71_367604060_367604060_0.txt, test_752_120973200_0_-725839200.txt, test_772_881340073_0_0.txt, test_777_125719576_-499451637_822057459.txt, test_7_166330212_166330212_-332660424AB.txt, test_7_89698746_448493730_-179397492AB.txt, test_839_166155061_0_-332310122.txt, test_839_923157_923157_564972084.txt, test_849_415705_290993500_0.txt, test_873_418406_2928842_322172620.txt, test_8_10000000_-40000000_-40000000AB.txt, test_8_10000000_0_80000000AB.txt, test_8_10000000_80000000_0AB.txt, test_981_159373724_-637494896_-159373724.txt, test_9_283198156_849594468_849594468B.txt |
Case Name | Status | Exec Time | Memory |
---|---|---|---|
sample_01.txt | AC | 17 ms | 3064 KB |
sample_02.txt | AC | 17 ms | 3064 KB |
sample_03.txt | AC | 17 ms | 3064 KB |
test_1000_1000000_-500000000_500000000.txt | AC | 174 ms | 58612 KB |
test_1000_1000000_0_-1000000000.txt | AC | 174 ms | 58616 KB |
test_1000_1000000_1000000000_0.txt | AC | 174 ms | 58616 KB |
test_1000_150305_97998860_-32315575.txt | AC | 172 ms | 58600 KB |
test_1000_1_0_0.txt | AC | 176 ms | 58612 KB |
test_1000_1_2_0.txt | AC | 176 ms | 58740 KB |
test_1000_1_2_2.txt | AC | 176 ms | 58612 KB |
test_1000_3308678_-800700076_-350719868.txt | AC | 175 ms | 58560 KB |
test_1000_3608549_811923525_689232859.txt | AC | 175 ms | 58688 KB |
test_1000_3728577_-145414503_-969430020.txt | AC | 172 ms | 58600 KB |
test_1000_537976_11297496_224335992.txt | AC | 175 ms | 58600 KB |
test_10_227248639_454497278_0B.txt | AC | 17 ms | 3064 KB |
test_11_692637325_-181424149_-938839075B.txt | AC | 17 ms | 3064 KB |
test_130_95365311_-667557177_-286095933.txt | AC | 19 ms | 3444 KB |
test_131_18204705_-145637640_0.txt | AC | 20 ms | 3444 KB |
test_13_260236679_-780710037_-520473358B.txt | AC | 17 ms | 3064 KB |
test_13_269280357_807841071_269280357B.txt | AC | 18 ms | 3064 KB |
test_13_96859935_0_-581159610B.txt | AC | 18 ms | 3064 KB |
test_16_40374395_-40374395_-565241530B.txt | AC | 18 ms | 3064 KB |
test_1_151403858_0_0AB.txt | AC | 17 ms | 3064 KB |
test_1_1_0_1AB.txt | AC | 17 ms | 3064 KB |
test_1_1_2_0AB.txt | AC | 17 ms | 3064 KB |
test_1_200416616_-430405070_-79858930AB.txt | AC | 17 ms | 3064 KB |
test_1_320861287_0_0AB.txt | AC | 17 ms | 3064 KB |
test_1_445441131_0_0AB.txt | AC | 17 ms | 3064 KB |
test_210_28974130_0_260767170.txt | AC | 22 ms | 4340 KB |
test_217_321156_24407856_22480920.txt | AC | 23 ms | 4340 KB |
test_21_304856339_609712678_914569017B.txt | AC | 17 ms | 3064 KB |
test_26_214390232_-857560928_428780464B.txt | AC | 17 ms | 3064 KB |
test_289_421462830_-487186374_-417635361.txt | AC | 18 ms | 3064 KB |
test_2_91743015_0_183486030AB.txt | AC | 18 ms | 3064 KB |
test_30_10000000_-300000000_0B.txt | AC | 18 ms | 3064 KB |
test_30_10000000_0_300000000B.txt | AC | 17 ms | 3064 KB |
test_30_10000000_150000000_-150000000B.txt | AC | 18 ms | 3064 KB |
test_30_54228128_0_813421920B.txt | AC | 18 ms | 3064 KB |
test_339_4475128_957677392_281933064.txt | AC | 31 ms | 6900 KB |
test_3_165357536_496072608_0AB.txt | AC | 17 ms | 3064 KB |
test_3_357154050_-106436394_768502001AB.txt | AC | 17 ms | 3064 KB |
test_3_721501125_-568833455_353553641AB.txt | AC | 17 ms | 3064 KB |
test_3_893846474_0_0AB.txt | AC | 17 ms | 3064 KB |
test_480_402960_-131767920_-34654560.txt | AC | 47 ms | 11892 KB |
test_4_291388018_-291388018_0AB.txt | AC | 17 ms | 3064 KB |
test_507_3516183_-879045750_-253165176.txt | AC | 52 ms | 13172 KB |
test_515_8606048_-25818144_8606048.txt | AC | 52 ms | 13556 KB |
test_522_2286376_-230923976_-18291008.txt | AC | 53 ms | 13940 KB |
test_5_318547875_955643625_-637095750AB.txt | AC | 17 ms | 3064 KB |
test_5_704387671_-704387671_0AB.txt | AC | 18 ms | 3064 KB |
test_5_82323965_639854915_-688317394AB.txt | AC | 17 ms | 3064 KB |
test_676_198114948_0_792459792.txt | AC | 84 ms | 23580 KB |
test_688_151937211_-286341114_10198771.txt | AC | 17 ms | 3064 KB |
test_6_187422602_374845204_-374845204AB.txt | AC | 17 ms | 3064 KB |
test_6_346164451_0_0AB.txt | AC | 17 ms | 3064 KB |
test_6_99058019_194123640_-837769837AB.txt | AC | 17 ms | 3064 KB |
test_71_367604060_367604060_0.txt | AC | 18 ms | 3064 KB |
test_752_120973200_0_-725839200.txt | AC | 102 ms | 29940 KB |
test_772_881340073_0_0.txt | AC | 108 ms | 31732 KB |
test_777_125719576_-499451637_822057459.txt | AC | 17 ms | 3064 KB |
test_7_166330212_166330212_-332660424AB.txt | AC | 17 ms | 3064 KB |
test_7_89698746_448493730_-179397492AB.txt | AC | 17 ms | 3064 KB |
test_839_166155061_0_-332310122.txt | AC | 123 ms | 38528 KB |
test_839_923157_923157_564972084.txt | AC | 125 ms | 38504 KB |
test_849_415705_290993500_0.txt | AC | 129 ms | 39636 KB |
test_873_418406_2928842_322172620.txt | AC | 132 ms | 42332 KB |
test_8_10000000_-40000000_-40000000AB.txt | AC | 17 ms | 3064 KB |
test_8_10000000_0_80000000AB.txt | AC | 17 ms | 3064 KB |
test_8_10000000_80000000_0AB.txt | AC | 18 ms | 3064 KB |
test_981_159373724_-637494896_-159373724.txt | AC | 169 ms | 56048 KB |
test_9_283198156_849594468_849594468B.txt | AC | 17 ms | 3064 KB |