Submission #7103040


Source Code Expand

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

if X % D != 0 or Y % D != 0:
    print(0)
    exit(0)
elif abs(X // D) > N or abs(Y // D) > N:
    print(0)
    exit(0)

num_steps_x = abs(X // D)
num_steps_y = abs(Y // D)
denominator = pow(4, N)

numerator = 0
combination = [[1]]
prev_row = combination[0]
for n in range(1, N + 1):
    row = [0] * (n + 1)
    row[0] = 1
    row[n] = 1
    for m in range(1, n):
        row[m] = prev_row[m - 1] + prev_row[m]
    combination.append(row)
    prev_row = row
# print(combination)

for px in range(num_steps_x, N + 1):
    total_x = (px - num_steps_x) + px
    if (total_x > N):
        continue
    total_y = N - total_x
    if (total_y < num_steps_y or total_y % 2 != num_steps_y % 2):
        continue
    py = (total_y - num_steps_y) // 2 + num_steps_y
    assert(py + py - num_steps_y == total_y)
    numerator += combination[N][total_x] \
                * combination[total_x][px] \
                * combination[total_y][py]
print(numerator / denominator)

Submission Info

Submission Time
Task D - 大ジャンプ
User tmsausa
Language PyPy3 (2.4.0)
Score 101
Code Size 1097 Byte
Status AC
Exec Time 279 ms
Memory 105948 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 169 ms 38256 KB
sample_02.txt AC 162 ms 38256 KB
sample_03.txt AC 164 ms 38256 KB
test_1000_1000000_-500000000_500000000.txt AC 276 ms 105820 KB
test_1000_1000000_0_-1000000000.txt AC 275 ms 105820 KB
test_1000_1000000_1000000000_0.txt AC 274 ms 105820 KB
test_1000_150305_97998860_-32315575.txt AC 276 ms 105820 KB
test_1000_1_0_0.txt AC 276 ms 105820 KB
test_1000_1_2_0.txt AC 279 ms 105820 KB
test_1000_1_2_2.txt AC 274 ms 105948 KB
test_1000_3308678_-800700076_-350719868.txt AC 275 ms 105820 KB
test_1000_3608549_811923525_689232859.txt AC 277 ms 105820 KB
test_1000_3728577_-145414503_-969430020.txt AC 277 ms 105820 KB
test_1000_537976_11297496_224335992.txt AC 274 ms 105820 KB
test_10_227248639_454497278_0B.txt AC 163 ms 38256 KB
test_11_692637325_-181424149_-938839075B.txt AC 164 ms 38256 KB
test_130_95365311_-667557177_-286095933.txt AC 184 ms 39536 KB
test_131_18204705_-145637640_0.txt AC 179 ms 39536 KB
test_13_260236679_-780710037_-520473358B.txt AC 167 ms 38256 KB
test_13_269280357_807841071_269280357B.txt AC 166 ms 38256 KB
test_13_96859935_0_-581159610B.txt AC 167 ms 38256 KB
test_16_40374395_-40374395_-565241530B.txt AC 167 ms 38256 KB
test_1_151403858_0_0AB.txt AC 165 ms 38256 KB
test_1_1_0_1AB.txt AC 166 ms 38256 KB
test_1_1_2_0AB.txt AC 164 ms 38256 KB
test_1_200416616_-430405070_-79858930AB.txt AC 165 ms 38256 KB
test_1_320861287_0_0AB.txt AC 165 ms 38256 KB
test_1_445441131_0_0AB.txt AC 167 ms 38256 KB
test_210_28974130_0_260767170.txt AC 174 ms 39536 KB
test_217_321156_24407856_22480920.txt AC 177 ms 39536 KB
test_21_304856339_609712678_914569017B.txt AC 165 ms 38256 KB
test_26_214390232_-857560928_428780464B.txt AC 165 ms 38256 KB
test_289_421462830_-487186374_-417635361.txt AC 164 ms 38256 KB
test_2_91743015_0_183486030AB.txt AC 165 ms 38256 KB
test_30_10000000_-300000000_0B.txt AC 166 ms 38256 KB
test_30_10000000_0_300000000B.txt AC 166 ms 38384 KB
test_30_10000000_150000000_-150000000B.txt AC 166 ms 38256 KB
test_30_54228128_0_813421920B.txt AC 167 ms 38256 KB
test_339_4475128_957677392_281933064.txt AC 186 ms 43760 KB
test_3_165357536_496072608_0AB.txt AC 162 ms 38256 KB
test_3_357154050_-106436394_768502001AB.txt AC 163 ms 38256 KB
test_3_721501125_-568833455_353553641AB.txt AC 164 ms 38256 KB
test_3_893846474_0_0AB.txt AC 166 ms 38256 KB
test_480_402960_-131767920_-34654560.txt AC 191 ms 43760 KB
test_4_291388018_-291388018_0AB.txt AC 163 ms 38256 KB
test_507_3516183_-879045750_-253165176.txt AC 204 ms 54492 KB
test_515_8606048_-25818144_8606048.txt AC 207 ms 54492 KB
test_522_2286376_-230923976_-18291008.txt AC 206 ms 54492 KB
test_5_318547875_955643625_-637095750AB.txt AC 166 ms 38256 KB
test_5_704387671_-704387671_0AB.txt AC 164 ms 38256 KB
test_5_82323965_639854915_-688317394AB.txt AC 165 ms 38256 KB
test_676_198114948_0_792459792.txt AC 225 ms 64476 KB
test_688_151937211_-286341114_10198771.txt AC 167 ms 38256 KB
test_6_187422602_374845204_-374845204AB.txt AC 166 ms 38256 KB
test_6_346164451_0_0AB.txt AC 165 ms 38256 KB
test_6_99058019_194123640_-837769837AB.txt AC 168 ms 38256 KB
test_71_367604060_367604060_0.txt AC 168 ms 38768 KB
test_752_120973200_0_-725839200.txt AC 234 ms 74588 KB
test_772_881340073_0_0.txt AC 240 ms 74716 KB
test_777_125719576_-499451637_822057459.txt AC 162 ms 38256 KB
test_7_166330212_166330212_-332660424AB.txt AC 163 ms 38256 KB
test_7_89698746_448493730_-179397492AB.txt AC 165 ms 38256 KB
test_839_166155061_0_-332310122.txt AC 249 ms 84956 KB
test_839_923157_923157_564972084.txt AC 248 ms 85020 KB
test_849_415705_290993500_0.txt AC 243 ms 84956 KB
test_873_418406_2928842_322172620.txt AC 250 ms 84956 KB
test_8_10000000_-40000000_-40000000AB.txt AC 167 ms 38256 KB
test_8_10000000_0_80000000AB.txt AC 164 ms 38256 KB
test_8_10000000_80000000_0AB.txt AC 166 ms 38256 KB
test_981_159373724_-637494896_-159373724.txt AC 276 ms 105820 KB
test_9_283198156_849594468_849594468B.txt AC 164 ms 38256 KB