oj.uz

Submission #974900

# Submission time Handle Problem Language Result Execution time Memory
974900 2024-05-04T06:32:51 Z Kenjikrab Boat (APIO16_boat) C++17
9 / 100
 2000 ms 198844 KB 
#include<bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
#define fi first
#define se second
using namespace std;
ll const mod=1e9+7;
map<ll,ll> ind;
vector<ll> val;
vector<ll> fen(1010,0);
void upd(int idx,ll val)
{
    idx+=2;
    for(int i=idx;i<1010;i+=i&-i)fen[i]+=val,fen[i]%=mod;
}
int qr(int idx)
{
    idx+=2;
    ll ret=0;
    for(int i=idx;i>0;i-=i&-i)ret+=fen[i],ret%=mod;
    return ret;
}
int pow(ll a,ll b)
{
    if(b==0)return 1;
    if(b==1)return a;
    ll ret=pow(a,b/2);
    if(b%2==0)return (ret*ret)%mod;
    else return (((ret*ret)%mod)*a)%mod;
}
map<ll,ll> inverse;
ll inv(ll a)
{
    if(inverse[a]!=0)return inverse[a];
    inverse[a]=pow(a,mod-2);
    return inverse[a];
}
ll choose(ll a,ll b)
{
    if(b>a)return 0;
    ll ret=1;
    for(int i=b+1;i<=a;i++)
    {
        ret*=i;
        ret%=mod;
    }
    for(int i=2;i<=a-b;i++)
    {
        ret*=inv(i);
        ret%=mod;
    }
    return ret;
}
signed main()
{
    int n;
    cin>>n;
    vector<pii> info;
    set<int> temp;
    for(int i=0;i<n;i++)
    {
        ll a,b;
        cin>>a>>b;
        temp.insert(a);
        temp.insert(b+1);
        info.push_back({a,b+1});
    }
    for(auto it:temp)
    {
        val.push_back(it);
        ind[it]=val.size()-1;
        //cout<<it<<" "<<ind[it]<<endl;
    }
    vector<vector<int>> pre(510,vector<int>(1010,-2));
    vector<int> latest(1010,-1);
    for(int i=0;i<n;i++)
    {
        for(int j=ind[info[i].fi];j<ind[info[i].se];j++)
        {
            pre[i][j]=latest[j];
            latest[j]=i;
        }
    }
    upd(-1,1);
    vector<vector<ll>> dp(510,vector<ll>(1010,0));
    for(int i=0;i<n;i++)
    {
        //cout<<endl<<i<<":";
        for(int j=ind[info[i].se]-1;j>=ind[info[i].fi];j--)
        {
            //cout<<j<<" ";
            ll a=qr(j),b=(val[j+1]-val[j]);
            dp[i][j]=a;
            ll ans=a*b;
            ans%=mod;
            int bef=pre[i][j],k=2;
            while(bef!=-1)
            {
                ans+=dp[bef][j]*choose(b,k);
                ans%=mod;
                bef=pre[bef][j];
                k++;
            }
            upd(j+1,ans);
            //cout<<i<<" "<<j<<" "<<ans<<endl;
        }
    }
    cout<<(qr(1005)+mod-1)%mod;
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6488 KB Output is correct
2 Correct 3 ms 6492 KB Output is correct
3 Correct 3 ms 6592 KB Output is correct
4 Correct 3 ms 6492 KB Output is correct
5 Correct 4 ms 6492 KB Output is correct
6 Correct 3 ms 6672 KB Output is correct
7 Correct 3 ms 6492 KB Output is correct
8 Correct 4 ms 6492 KB Output is correct
9 Correct 3 ms 6492 KB Output is correct
10 Correct 3 ms 6492 KB Output is correct
11 Correct 3 ms 6492 KB Output is correct
12 Correct 3 ms 6488 KB Output is correct
13 Correct 3 ms 6488 KB Output is correct
14 Correct 3 ms 6488 KB Output is correct
15 Correct 3 ms 6492 KB Output is correct
16 Correct 3 ms 6488 KB Output is correct
17 Correct 3 ms 6492 KB Output is correct
18 Correct 3 ms 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6492 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6488 KB Output is correct
2 Correct 3 ms 6492 KB Output is correct
3 Correct 3 ms 6592 KB Output is correct
4 Correct 3 ms 6492 KB Output is correct
5 Correct 4 ms 6492 KB Output is correct
6 Correct 3 ms 6672 KB Output is correct
7 Correct 3 ms 6492 KB Output is correct
8 Correct 4 ms 6492 KB Output is correct
9 Correct 3 ms 6492 KB Output is correct
10 Correct 3 ms 6492 KB Output is correct
11 Correct 3 ms 6492 KB Output is correct
12 Correct 3 ms 6488 KB Output is correct
13 Correct 3 ms 6488 KB Output is correct
14 Correct 3 ms 6488 KB Output is correct
15 Correct 3 ms 6492 KB Output is correct
16 Correct 3 ms 6488 KB Output is correct
17 Correct 3 ms 6492 KB Output is correct
18 Correct 3 ms 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6492 KB Output is correct
21 Incorrect 148 ms 6632 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2065 ms 198844 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6488 KB Output is correct
2 Correct 3 ms 6492 KB Output is correct
3 Correct 3 ms 6592 KB Output is correct
4 Correct 3 ms 6492 KB Output is correct
5 Correct 4 ms 6492 KB Output is correct
6 Correct 3 ms 6672 KB Output is correct
7 Correct 3 ms 6492 KB Output is correct
8 Correct 4 ms 6492 KB Output is correct
9 Correct 3 ms 6492 KB Output is correct
10 Correct 3 ms 6492 KB Output is correct
11 Correct 3 ms 6492 KB Output is correct
12 Correct 3 ms 6488 KB Output is correct
13 Correct 3 ms 6488 KB Output is correct
14 Correct 3 ms 6488 KB Output is correct
15 Correct 3 ms 6492 KB Output is correct
16 Correct 3 ms 6488 KB Output is correct
17 Correct 3 ms 6492 KB Output is correct
18 Correct 3 ms 6492 KB Output is correct
19 Correct 3 ms 6492 KB Output is correct
20 Correct 3 ms 6492 KB Output is correct
21 Incorrect 148 ms 6632 KB Output isn't correct
22 Halted 0 ms 0 KB -