제출 #310009

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
310009		vipghn2003	Boat (APIO16_boat)	C++14	27 / 100	2074 ms	2428 KiB

boat

#include<bits/stdc++.h>
#define int long long
using namespace std;

const int N=505;
const int mod=1e9+7;
int n,l[N],r[N],dp[N][N*2],sum[N][N*2],igt[N],gt[N],ways[N][N*2];

int Power(int x,int n)
{
    if(!n) return 1;
    if(n%2) return Power(x,n-1)*x%mod;
    int tmp=Power(x,n/2);
    return tmp*tmp%mod;
}

void init()
{
    gt[0]=1;
    for(int i=1;i<=N-5;i++) gt[i]=gt[i-1]*i%mod;
    igt[N-5]=Power(gt[N-5],mod-2);
    for(int i=N-5-1;i>=0;i--) igt[i]=igt[i+1]*(i+1)%mod;
}

int C(int k,int n)
{
    if(k<0||k>n) return 0;
    if(n<=500) gt[n]*igt[n-k]%mod*igt[k]%mod;
    int res=igt[k];
    for(int i=n-k+1;i<=n;i++) res=res*i%mod;
    return res%mod;
}

main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cin>>n;
    init();
    vector<int>val;
    for(int i=1;i<=n;i++)
    {
        cin>>l[i]>>r[i];
        r[i]++;
        val.push_back(l[i]);
        val.push_back(r[i]);
    }
    val.push_back(0);
    sort(val.begin(),val.end());
    val.erase(unique(val.begin(),val.end()),val.end());
    for(int i=1;i<=n;i++)
    {
        l[i]=lower_bound(val.begin(),val.end(),l[i])-val.begin();
        r[i]=lower_bound(val.begin(),val.end(),r[i])-val.begin();
    }
    int sz=val.size()-1;
    for(int i=1;i<=sz-1;i++)
    {
        for(int j=1;j<=n;j++)
        {
            for(int k=1;k<=j;k++) ways[i][j]=(ways[i][j]+C(k,val[i+1]-val[i])*C(k-1,j-1)%mod)%mod;
        }
    }
    int res=0;
    dp[0][0]=1;
    for(int j=0;j<=sz-1;j++) sum[0][j]=1;
    for(int i=1;i<=n;i++)
    {
        for(int j=l[i];j<r[i];j++)
        {
            int cnt=0;
            for(int k=i;k>=1;k--)
            {
                if(val[l[k]]<=val[j]&&val[j+1]<=val[r[k]]);
                else cnt++;
                dp[i][j]=(dp[i][j]+sum[k-1][j-1]*ways[j][i-k+1-cnt]%mod)%mod;
                //if(i==2&&j==2) cout<<k<<' '<<i-k+1-cnt<<' '<<sum[k-1][j-1]*ways[j][i-k+1-cnt]%mod<<'\n';
            }
        }
        for(int j=1;j<=sz-1;j++)
        {
            sum[i][j]=(sum[i][j-1]+dp[i][j])%mod;
            //cout<<i<<' '<<val[j]<<' '<<val[j+1]<<' '<<dp[i][j]<<'\n';
        }
        res=(res+sum[i][sz-1])%mod;
    }
    cout<<res;
}

컴파일 시 표준 에러 (stderr) 메시지

boat.cpp: In function 'long long int C(long long int, long long int)':
boat.cpp:28:41: warning: statement has no effect [-Wunused-value]
   28 |     if(n<=500) gt[n]*igt[n-k]%mod*igt[k]%mod;
      |                ~~~~~~~~~~~~~~~~~~~~~~~~~^~~~
boat.cpp: At global scope:
boat.cpp:34:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   34 | main()
      |      ^

• Subtask 1: 0 / 9
• Subtask 2: 0 / 22
• Subtask 3: 27 / 27
• Subtask 4: 0 / 42