Submission #2121336


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#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cmath>
#include<cctype>
#include<math.h>
#include<string>
#include<string.h>
#include<stack>
#include<queue>
#include<vector>
#include<utility>
#include<set>
#include<map>
#include<stdlib.h>
#include<iomanip>

using namespace std;

#define ll long long
#define ld long double
#define EPS 0.0000000001
#define INF 1e9
#define MOD 1000000007
#define rep(i,n) for(i=0;i<(n);i++)
#define loop(i,a,n) for(i=a;i<(n);i++)
#define all(in) in.begin(),in.end()
#define shosu(x) fixed<<setprecision(x)

typedef vector<int> vi;
typedef pair<int,int> pii;

int main(void) {
  int i,j;

  double ncr[1005][1005]={};

  rep(i,1005){
    if(i==0)ncr[i][0]=ncr[i][i]=1;
    else ncr[i][0]=ncr[i][i]=ncr[i-1][0]/2;
    loop(j,1,i)ncr[i][j]=(ncr[i-1][j-1]+ncr[i-1][j])/2;
  }



  int n,d;
  cin>>n>>d;
  int X,Y;
  cin>>X>>Y;

  if(X%d!=0 || Y%d!=0){
    cout<<0<<endl;
    return 0;
  }

  X/=d;
  Y/=d;

  if(abs(X)+abs(Y)>n){
    cout<<0<<endl;
    return 0;
  }

  double ans=0;
  int x,y;
  rep(x,n+1){
    y=n-x;
    double tmp=1;
    int cnt=0;
    rep(i,x+1){
      j=x-i;
      if(i-j==X)tmp*=ncr[x][i],cnt++;
    }
    rep(i,y+1){
      j=y-i;
      if(i-j==Y)tmp*=ncr[y][i],cnt++;
    }
    if(cnt==2){
      tmp*=ncr[n][x];
      ans+=tmp;
    }
  }

  cout<<shosu(12)<<ans<<endl;
}

Submission Info

Submission Time
Task D - 大ジャンプ
User rika0384
Language C++14 (GCC 5.4.1)
Score 101
Code Size 1427 Byte
Status
Exec Time 5 ms
Memory 8192 KB

Test Cases

Set Name Score / Max Score Test Cases
part1 90 / 90 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 10 / 10 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 1 / 1 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 4 ms 8192 KB
sample_02.txt 4 ms 8192 KB
sample_03.txt 4 ms 8192 KB
test_1000_1000000_-500000000_500000000.txt 5 ms 8192 KB
test_1000_1000000_0_-1000000000.txt 5 ms 8192 KB
test_1000_1000000_1000000000_0.txt 5 ms 8192 KB
test_1000_150305_97998860_-32315575.txt 5 ms 8192 KB
test_1000_1_0_0.txt 5 ms 8192 KB
test_1000_1_2_0.txt 5 ms 8192 KB
test_1000_1_2_2.txt 5 ms 8192 KB
test_1000_3308678_-800700076_-350719868.txt 5 ms 8192 KB
test_1000_3608549_811923525_689232859.txt 5 ms 8192 KB
test_1000_3728577_-145414503_-969430020.txt 5 ms 8192 KB
test_1000_537976_11297496_224335992.txt 5 ms 8192 KB
test_10_227248639_454497278_0B.txt 4 ms 8192 KB
test_11_692637325_-181424149_-938839075B.txt 4 ms 8192 KB
test_130_95365311_-667557177_-286095933.txt 4 ms 8192 KB
test_131_18204705_-145637640_0.txt 4 ms 8192 KB
test_13_260236679_-780710037_-520473358B.txt 4 ms 8192 KB
test_13_269280357_807841071_269280357B.txt 4 ms 8192 KB
test_13_96859935_0_-581159610B.txt 4 ms 8192 KB
test_16_40374395_-40374395_-565241530B.txt 4 ms 8192 KB
test_1_151403858_0_0AB.txt 4 ms 8192 KB
test_1_1_0_1AB.txt 4 ms 8192 KB
test_1_1_2_0AB.txt 4 ms 8192 KB
test_1_200416616_-430405070_-79858930AB.txt 4 ms 8192 KB
test_1_320861287_0_0AB.txt 4 ms 8192 KB
test_1_445441131_0_0AB.txt 4 ms 8192 KB
test_210_28974130_0_260767170.txt 4 ms 8192 KB
test_217_321156_24407856_22480920.txt 4 ms 8192 KB
test_21_304856339_609712678_914569017B.txt 4 ms 8192 KB
test_26_214390232_-857560928_428780464B.txt 4 ms 8192 KB
test_289_421462830_-487186374_-417635361.txt 4 ms 8192 KB
test_2_91743015_0_183486030AB.txt 4 ms 8192 KB
test_30_10000000_-300000000_0B.txt 4 ms 8192 KB
test_30_10000000_0_300000000B.txt 4 ms 8192 KB
test_30_10000000_150000000_-150000000B.txt 4 ms 8192 KB
test_30_54228128_0_813421920B.txt 4 ms 8192 KB
test_339_4475128_957677392_281933064.txt 4 ms 8192 KB
test_3_165357536_496072608_0AB.txt 4 ms 8192 KB
test_3_357154050_-106436394_768502001AB.txt 4 ms 8192 KB
test_3_721501125_-568833455_353553641AB.txt 4 ms 8192 KB
test_3_893846474_0_0AB.txt 4 ms 8192 KB
test_480_402960_-131767920_-34654560.txt 4 ms 8192 KB
test_4_291388018_-291388018_0AB.txt 4 ms 8192 KB
test_507_3516183_-879045750_-253165176.txt 4 ms 8192 KB
test_515_8606048_-25818144_8606048.txt 5 ms 8192 KB
test_522_2286376_-230923976_-18291008.txt 4 ms 8192 KB
test_5_318547875_955643625_-637095750AB.txt 4 ms 8192 KB
test_5_704387671_-704387671_0AB.txt 4 ms 8192 KB
test_5_82323965_639854915_-688317394AB.txt 4 ms 8192 KB
test_676_198114948_0_792459792.txt 4 ms 8192 KB
test_688_151937211_-286341114_10198771.txt 4 ms 8192 KB
test_6_187422602_374845204_-374845204AB.txt 4 ms 8192 KB
test_6_346164451_0_0AB.txt 4 ms 8192 KB
test_6_99058019_194123640_-837769837AB.txt 4 ms 8192 KB
test_71_367604060_367604060_0.txt 4 ms 8192 KB
test_752_120973200_0_-725839200.txt 4 ms 8192 KB
test_772_881340073_0_0.txt 4 ms 8192 KB
test_777_125719576_-499451637_822057459.txt 4 ms 8192 KB
test_7_166330212_166330212_-332660424AB.txt 4 ms 8192 KB
test_7_89698746_448493730_-179397492AB.txt 4 ms 8192 KB
test_839_166155061_0_-332310122.txt 4 ms 8192 KB
test_839_923157_923157_564972084.txt 5 ms 8192 KB
test_849_415705_290993500_0.txt 4 ms 8192 KB
test_873_418406_2928842_322172620.txt 5 ms 8192 KB
test_8_10000000_-40000000_-40000000AB.txt 4 ms 8192 KB
test_8_10000000_0_80000000AB.txt 4 ms 8192 KB
test_8_10000000_80000000_0AB.txt 4 ms 8192 KB
test_981_159373724_-637494896_-159373724.txt 5 ms 8192 KB
test_9_283198156_849594468_849594468B.txt 4 ms 8192 KB