oj.uz

Submission #975456

# Submission time Handle Problem Language Result Execution time Memory
975456 2024-05-05T08:23:41 Z Kenjikrab Boat (APIO16_boat) C++14
31 / 100
 654 ms 17028 KB 
#include<bits/stdc++.h>
#define int long long
#define pii pair<int,int>
#define fi first
#define se second
using namespace std;
int const mod=1e9+7;
map<int,int> ind;
vector<int> val;
vector<int> fen(1010,0);
void upd(int idx,int val)
{
    idx+=2;
    for(int i=idx;i<1010;i+=i&-i)fen[i]+=val,fen[i]%=mod;
}
int qr(int idx)
{
    idx+=2;
    int ret=0;
    for(int i=idx;i>0;i-=i&-i)ret+=fen[i],ret%=mod;
    return ret;
}

int pow(int a,int b)
{
    if(b==0)return 1;
    if(b==1)return a;
    int ret=pow(a,b/2);
    if(b%2==0)return (ret*ret)%mod;
    else return (((ret*ret)%mod)*a)%mod;
}
vector<int> inverse(510);
void inv(int a)
{
    inverse[a]=pow(a,mod-2);
}

int choose(int a,int b)
{
    if(b>a)return 0;
    int ret=1;
    for(int i=b+1;i<=a;i++)
    {
        ret*=i;
        ret%=mod;
    }
    for(int i=2;i<=a-b;i++)
    {
        ret*=inverse[i];
        ret%=mod;
    }
    return ret;
}

signed main()
{
    for(int i=2;i<510;i++)inv(i);
    int n;
    cin>>n;
    vector<pii> info;
    set<int> temp;
    for(int i=0;i<n;i++)
    {
        int 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;
    }
    vector<vector<int>> pre(510,vector<int>(1010,-2));
    vector<int> latest(1010,-1);
    upd(-1,1);
    vector<vector<int>> dp(510,vector<int>(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<<" ";
            
            int bef=latest[j];
            pre[i][j]=latest[j];
            latest[j]=i;
            int a=qr(j),b=(val[j+1]-val[j]),c=0;
            dp[i][j]=a;
            int ans=a*b;
            ans%=mod;
            int k=2;
            //cout<<i<<" "<<j<<" "<<ans<<" ";
            while(bef!=-1)
            {
                ans+=dp[bef][j]*choose(b+k-2,k);
                ans%=mod;
                bef=pre[bef][j];
                k++;
                //cout<<endl<<bef<<" "<<ans<<" ";
            }
           // cout<<endl;
            upd(j+1,ans);
        }
    }
    cout<<(qr(1007)+mod-1)%mod;
    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:89:45: warning: unused variable 'c' [-Wunused-variable]
   89 |             int a=qr(j),b=(val[j+1]-val[j]),c=0;
      |                                             ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8540 KB Output is correct
2 Correct 4 ms 8680 KB Output is correct
3 Correct 4 ms 8792 KB Output is correct
4 Correct 4 ms 8540 KB Output is correct
5 Correct 4 ms 8540 KB Output is correct
6 Correct 4 ms 8540 KB Output is correct
7 Correct 5 ms 8536 KB Output is correct
8 Correct 4 ms 8540 KB Output is correct
9 Correct 4 ms 8476 KB Output is correct
10 Correct 4 ms 8540 KB Output is correct
11 Correct 4 ms 8540 KB Output is correct
12 Correct 4 ms 8540 KB Output is correct
13 Correct 4 ms 8536 KB Output is correct
14 Correct 4 ms 8540 KB Output is correct
15 Correct 4 ms 8540 KB Output is correct
16 Correct 4 ms 8368 KB Output is correct
17 Correct 4 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 4 ms 8540 KB Output is correct
20 Correct 4 ms 8536 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8540 KB Output is correct
2 Correct 4 ms 8680 KB Output is correct
3 Correct 4 ms 8792 KB Output is correct
4 Correct 4 ms 8540 KB Output is correct
5 Correct 4 ms 8540 KB Output is correct
6 Correct 4 ms 8540 KB Output is correct
7 Correct 5 ms 8536 KB Output is correct
8 Correct 4 ms 8540 KB Output is correct
9 Correct 4 ms 8476 KB Output is correct
10 Correct 4 ms 8540 KB Output is correct
11 Correct 4 ms 8540 KB Output is correct
12 Correct 4 ms 8540 KB Output is correct
13 Correct 4 ms 8536 KB Output is correct
14 Correct 4 ms 8540 KB Output is correct
15 Correct 4 ms 8540 KB Output is correct
16 Correct 4 ms 8368 KB Output is correct
17 Correct 4 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 4 ms 8540 KB Output is correct
20 Correct 4 ms 8536 KB Output is correct
21 Correct 434 ms 8652 KB Output is correct
22 Correct 430 ms 8540 KB Output is correct
23 Correct 374 ms 8540 KB Output is correct
24 Correct 464 ms 8664 KB Output is correct
25 Correct 466 ms 8536 KB Output is correct
26 Correct 630 ms 8680 KB Output is correct
27 Correct 631 ms 8788 KB Output is correct
28 Correct 627 ms 8680 KB Output is correct
29 Correct 654 ms 8540 KB Output is correct
30 Correct 4 ms 8536 KB Output is correct
31 Correct 4 ms 8540 KB Output is correct
32 Correct 4 ms 8540 KB Output is correct
33 Correct 4 ms 8540 KB Output is correct
34 Correct 4 ms 8540 KB Output is correct
35 Correct 4 ms 8540 KB Output is correct
36 Correct 4 ms 8792 KB Output is correct
37 Correct 4 ms 8540 KB Output is correct
38 Correct 4 ms 8540 KB Output is correct

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 73 ms 17028 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8540 KB Output is correct
2 Correct 4 ms 8680 KB Output is correct
3 Correct 4 ms 8792 KB Output is correct
4 Correct 4 ms 8540 KB Output is correct
5 Correct 4 ms 8540 KB Output is correct
6 Correct 4 ms 8540 KB Output is correct
7 Correct 5 ms 8536 KB Output is correct
8 Correct 4 ms 8540 KB Output is correct
9 Correct 4 ms 8476 KB Output is correct
10 Correct 4 ms 8540 KB Output is correct
11 Correct 4 ms 8540 KB Output is correct
12 Correct 4 ms 8540 KB Output is correct
13 Correct 4 ms 8536 KB Output is correct
14 Correct 4 ms 8540 KB Output is correct
15 Correct 4 ms 8540 KB Output is correct
16 Correct 4 ms 8368 KB Output is correct
17 Correct 4 ms 8540 KB Output is correct
18 Correct 4 ms 8540 KB Output is correct
19 Correct 4 ms 8540 KB Output is correct
20 Correct 4 ms 8536 KB Output is correct
21 Correct 434 ms 8652 KB Output is correct
22 Correct 430 ms 8540 KB Output is correct
23 Correct 374 ms 8540 KB Output is correct
24 Correct 464 ms 8664 KB Output is correct
25 Correct 466 ms 8536 KB Output is correct
26 Correct 630 ms 8680 KB Output is correct
27 Correct 631 ms 8788 KB Output is correct
28 Correct 627 ms 8680 KB Output is correct
29 Correct 654 ms 8540 KB Output is correct
30 Correct 4 ms 8536 KB Output is correct
31 Correct 4 ms 8540 KB Output is correct
32 Correct 4 ms 8540 KB Output is correct
33 Correct 4 ms 8540 KB Output is correct
34 Correct 4 ms 8540 KB Output is correct
35 Correct 4 ms 8540 KB Output is correct
36 Correct 4 ms 8792 KB Output is correct
37 Correct 4 ms 8540 KB Output is correct
38 Correct 4 ms 8540 KB Output is correct
39 Runtime error 73 ms 17028 KB Execution killed with signal 11
40 Halted 0 ms 0 KB -