Submission #1675334


Source Code Expand

import numpy as np


def combi(l, r):
    if l == 0 or r == 0 or l == r:
        return 0.0
    plus = np.log(np.arange(l - r + 1, l + 1))
    minus = np.log(np.arange(1, r + 1))
    return np.sum(plus) - np.sum(minus)


N, D = [int(x) for x in input().split(' ')]
X, Y = [int(x) for x in input().split(' ')]

if abs(X) % D != 0 or abs(Y) % D != 0:
    print(0.0)
else:
    X = abs(X) // D
    Y = abs(Y) // D
    if (N - X - Y) % 2 != 0:
        print(0.0)
    else:
        answer = 0.0
        rest = N - X - Y
        if rest == 0:
            print(np.exp(combi(N, X) + combi(N - X, Y) + N * np.log(0.25)))
        else:
            for i in range(rest // 2 + 1):
                ud = i
                lr = rest // 2 - i
                ways = combi(N, X + ud) + combi(N - X - ud, ud) + combi(N - X - 2 * ud, Y + lr)
                if answer == 0.0:
                    answer = ways
                elif answer > ways:
                    answer = answer + np.log(np.exp(ways - answer) + 1.0)
                else:
                    answer = ways + np.log(np.exp(answer - ways) + 1.0)
            print(np.exp(answer + N * np.log(0.25)))

Submission Info

Submission Time
Task D - 大ジャンプ
User macho_uno
Language Python (3.4.3)
Score 101
Code Size 1186 Byte
Status AC
Exec Time 214 ms
Memory 14548 KB

Judge Result

Set Name part1 part2 All
Score / Max Score 90 / 90 10 / 10 1 / 1
Status
AC × 23
AC × 36
AC × 71
Set Name Test Cases
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 147 ms 12500 KB
sample_02.txt AC 151 ms 12500 KB
sample_03.txt AC 150 ms 12156 KB
test_1000_1000000_-500000000_500000000.txt AC 149 ms 12156 KB
test_1000_1000000_0_-1000000000.txt AC 150 ms 12156 KB
test_1000_1000000_1000000000_0.txt AC 150 ms 12156 KB
test_1000_150305_97998860_-32315575.txt AC 148 ms 12156 KB
test_1000_1_0_0.txt AC 211 ms 12500 KB
test_1000_1_2_0.txt AC 214 ms 12500 KB
test_1000_1_2_2.txt AC 211 ms 12500 KB
test_1000_3308678_-800700076_-350719868.txt AC 191 ms 12156 KB
test_1000_3608549_811923525_689232859.txt AC 187 ms 12156 KB
test_1000_3728577_-145414503_-969430020.txt AC 150 ms 12500 KB
test_1000_537976_11297496_224335992.txt AC 187 ms 12156 KB
test_10_227248639_454497278_0B.txt AC 149 ms 12500 KB
test_11_692637325_-181424149_-938839075B.txt AC 149 ms 12156 KB
test_130_95365311_-667557177_-286095933.txt AC 152 ms 12500 KB
test_131_18204705_-145637640_0.txt AC 150 ms 12500 KB
test_13_260236679_-780710037_-520473358B.txt AC 148 ms 12500 KB
test_13_269280357_807841071_269280357B.txt AC 147 ms 12500 KB
test_13_96859935_0_-581159610B.txt AC 147 ms 12500 KB
test_16_40374395_-40374395_-565241530B.txt AC 148 ms 12500 KB
test_1_151403858_0_0AB.txt AC 148 ms 12156 KB
test_1_1_0_1AB.txt AC 148 ms 12500 KB
test_1_1_2_0AB.txt AC 149 ms 12500 KB
test_1_200416616_-430405070_-79858930AB.txt AC 147 ms 12156 KB
test_1_320861287_0_0AB.txt AC 149 ms 12500 KB
test_1_445441131_0_0AB.txt AC 148 ms 12156 KB
test_210_28974130_0_260767170.txt AC 149 ms 12156 KB
test_217_321156_24407856_22480920.txt AC 148 ms 12500 KB
test_21_304856339_609712678_914569017B.txt AC 150 ms 14548 KB
test_26_214390232_-857560928_428780464B.txt AC 149 ms 12156 KB
test_289_421462830_-487186374_-417635361.txt AC 148 ms 12156 KB
test_2_91743015_0_183486030AB.txt AC 149 ms 12500 KB
test_30_10000000_-300000000_0B.txt AC 148 ms 12156 KB
test_30_10000000_0_300000000B.txt AC 150 ms 12500 KB
test_30_10000000_150000000_-150000000B.txt AC 148 ms 12156 KB
test_30_54228128_0_813421920B.txt AC 147 ms 12500 KB
test_339_4475128_957677392_281933064.txt AC 151 ms 12500 KB
test_3_165357536_496072608_0AB.txt AC 147 ms 12500 KB
test_3_357154050_-106436394_768502001AB.txt AC 148 ms 12500 KB
test_3_721501125_-568833455_353553641AB.txt AC 147 ms 12156 KB
test_3_893846474_0_0AB.txt AC 148 ms 12156 KB
test_480_402960_-131767920_-34654560.txt AC 149 ms 12156 KB
test_4_291388018_-291388018_0AB.txt AC 148 ms 12500 KB
test_507_3516183_-879045750_-253165176.txt AC 149 ms 12500 KB
test_515_8606048_-25818144_8606048.txt AC 151 ms 12500 KB
test_522_2286376_-230923976_-18291008.txt AC 148 ms 12156 KB
test_5_318547875_955643625_-637095750AB.txt AC 148 ms 12156 KB
test_5_704387671_-704387671_0AB.txt AC 149 ms 12500 KB
test_5_82323965_639854915_-688317394AB.txt AC 148 ms 12500 KB
test_676_198114948_0_792459792.txt AC 188 ms 12500 KB
test_688_151937211_-286341114_10198771.txt AC 150 ms 12500 KB
test_6_187422602_374845204_-374845204AB.txt AC 151 ms 12156 KB
test_6_346164451_0_0AB.txt AC 149 ms 12500 KB
test_6_99058019_194123640_-837769837AB.txt AC 151 ms 12156 KB
test_71_367604060_367604060_0.txt AC 153 ms 12500 KB
test_752_120973200_0_-725839200.txt AC 192 ms 12500 KB
test_772_881340073_0_0.txt AC 196 ms 12500 KB
test_777_125719576_-499451637_822057459.txt AC 150 ms 12156 KB
test_7_166330212_166330212_-332660424AB.txt AC 151 ms 12156 KB
test_7_89698746_448493730_-179397492AB.txt AC 149 ms 12156 KB
test_839_166155061_0_-332310122.txt AC 150 ms 12156 KB
test_839_923157_923157_564972084.txt AC 165 ms 12500 KB
test_849_415705_290993500_0.txt AC 149 ms 12500 KB
test_873_418406_2928842_322172620.txt AC 155 ms 12500 KB
test_8_10000000_-40000000_-40000000AB.txt AC 148 ms 12500 KB
test_8_10000000_0_80000000AB.txt AC 149 ms 12500 KB
test_8_10000000_80000000_0AB.txt AC 148 ms 12500 KB
test_981_159373724_-637494896_-159373724.txt AC 210 ms 12156 KB
test_9_283198156_849594468_849594468B.txt AC 148 ms 12500 KB