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Submission #975479

# Submission time Handle Problem Language Result Execution time Memory
975479 2024-05-05T09:20:31 Z Kenjikrab Boat (APIO16_boat) C++14
100 / 100
 227 ms 12888 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 invfac[1010];
int cycle=1;
vector<vector<int>> keep1(1010,vector<int>(510,0));
int choose1(int a,int b)
{
    if(b>a)return 0;
    if(a==b)return 1;
    if(a-b>b)b=a-b;
    int ret=1;
    for(int i=b+1;i<=a;i++)
    {
        ret*=i;
        ret%=mod;
    }
    ret*=invfac[a-b];
    ret%=mod;
    return ret;
}
int choose(int a,int b)
{
    int ret=keep1[a][b];
    ret*=invfac[b];
    ret%=mod;
    //cout<<a<<"-"<<b<<" "<<ret<<endl;
    return ret;
}
signed main()
{
    cin.tie(nullptr)->sync_with_stdio(false);
    for(int i=2;i<510;i++)inv(i);
    invfac[0]=1;
    invfac[1]=1;
    for(int i=2;i<510;i++)invfac[i]=invfac[i-1]*inverse[i],invfac[i]%=mod;
    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;
    }
    for(int i=0;i<val.size()-1;i++)
    {
        int a=val[i+1]-val[i]-1;
        keep1[i][0]=1;
        for(int j=1;j<510;j++)
        {
            keep1[i][j]=(keep1[i][j-1]*a)%mod;
            a++;
        }
    }
    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]*((b+k-2<k)?0:choose(j,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:87:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |     for(int i=0;i<val.size()-1;i++)
      |                 ~^~~~~~~~~~~~~
boat.cpp:111:45: warning: unused variable 'c' [-Wunused-variable]
  111 |             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 10 ms 12636 KB Output is correct
2 Correct 9 ms 12636 KB Output is correct
3 Correct 9 ms 12616 KB Output is correct
4 Correct 9 ms 12632 KB Output is correct
5 Correct 9 ms 12636 KB Output is correct
6 Correct 9 ms 12636 KB Output is correct
7 Correct 9 ms 12644 KB Output is correct
8 Correct 9 ms 12636 KB Output is correct
9 Correct 9 ms 12612 KB Output is correct
10 Correct 9 ms 12636 KB Output is correct
11 Correct 9 ms 12636 KB Output is correct
12 Correct 9 ms 12636 KB Output is correct
13 Correct 9 ms 12612 KB Output is correct
14 Correct 9 ms 12636 KB Output is correct
15 Correct 9 ms 12636 KB Output is correct
16 Correct 6 ms 12636 KB Output is correct
17 Correct 6 ms 12632 KB Output is correct
18 Correct 6 ms 12636 KB Output is correct
19 Correct 6 ms 12632 KB Output is correct
20 Correct 6 ms 12636 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 12636 KB Output is correct
2 Correct 9 ms 12636 KB Output is correct
3 Correct 9 ms 12616 KB Output is correct
4 Correct 9 ms 12632 KB Output is correct
5 Correct 9 ms 12636 KB Output is correct
6 Correct 9 ms 12636 KB Output is correct
7 Correct 9 ms 12644 KB Output is correct
8 Correct 9 ms 12636 KB Output is correct
9 Correct 9 ms 12612 KB Output is correct
10 Correct 9 ms 12636 KB Output is correct
11 Correct 9 ms 12636 KB Output is correct
12 Correct 9 ms 12636 KB Output is correct
13 Correct 9 ms 12612 KB Output is correct
14 Correct 9 ms 12636 KB Output is correct
15 Correct 9 ms 12636 KB Output is correct
16 Correct 6 ms 12636 KB Output is correct
17 Correct 6 ms 12632 KB Output is correct
18 Correct 6 ms 12636 KB Output is correct
19 Correct 6 ms 12632 KB Output is correct
20 Correct 6 ms 12636 KB Output is correct
21 Correct 147 ms 12884 KB Output is correct
22 Correct 144 ms 12768 KB Output is correct
23 Correct 126 ms 12636 KB Output is correct
24 Correct 140 ms 12884 KB Output is correct
25 Correct 150 ms 12636 KB Output is correct
26 Correct 176 ms 12636 KB Output is correct
27 Correct 188 ms 12764 KB Output is correct
28 Correct 188 ms 12636 KB Output is correct
29 Correct 179 ms 12776 KB Output is correct
30 Correct 9 ms 12636 KB Output is correct
31 Correct 10 ms 12636 KB Output is correct
32 Correct 10 ms 12636 KB Output is correct
33 Correct 9 ms 12636 KB Output is correct
34 Correct 10 ms 12636 KB Output is correct
35 Correct 10 ms 12788 KB Output is correct
36 Correct 9 ms 12800 KB Output is correct
37 Correct 9 ms 12636 KB Output is correct
38 Correct 10 ms 12636 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12636 KB Output is correct
2 Correct 7 ms 12596 KB Output is correct
3 Correct 8 ms 12636 KB Output is correct
4 Correct 7 ms 12636 KB Output is correct
5 Correct 8 ms 12560 KB Output is correct
6 Correct 8 ms 12636 KB Output is correct
7 Correct 8 ms 12636 KB Output is correct
8 Correct 8 ms 12632 KB Output is correct
9 Correct 8 ms 12888 KB Output is correct
10 Correct 10 ms 12636 KB Output is correct
11 Correct 7 ms 12636 KB Output is correct
12 Correct 7 ms 12636 KB Output is correct
13 Correct 7 ms 12636 KB Output is correct
14 Correct 7 ms 12636 KB Output is correct
15 Correct 7 ms 12636 KB Output is correct
16 Correct 6 ms 12636 KB Output is correct
17 Correct 6 ms 12636 KB Output is correct
18 Correct 6 ms 12636 KB Output is correct
19 Correct 7 ms 12636 KB Output is correct
20 Correct 7 ms 12636 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 12636 KB Output is correct
2 Correct 9 ms 12636 KB Output is correct
3 Correct 9 ms 12616 KB Output is correct
4 Correct 9 ms 12632 KB Output is correct
5 Correct 9 ms 12636 KB Output is correct
6 Correct 9 ms 12636 KB Output is correct
7 Correct 9 ms 12644 KB Output is correct
8 Correct 9 ms 12636 KB Output is correct
9 Correct 9 ms 12612 KB Output is correct
10 Correct 9 ms 12636 KB Output is correct
11 Correct 9 ms 12636 KB Output is correct
12 Correct 9 ms 12636 KB Output is correct
13 Correct 9 ms 12612 KB Output is correct
14 Correct 9 ms 12636 KB Output is correct
15 Correct 9 ms 12636 KB Output is correct
16 Correct 6 ms 12636 KB Output is correct
17 Correct 6 ms 12632 KB Output is correct
18 Correct 6 ms 12636 KB Output is correct
19 Correct 6 ms 12632 KB Output is correct
20 Correct 6 ms 12636 KB Output is correct
21 Correct 147 ms 12884 KB Output is correct
22 Correct 144 ms 12768 KB Output is correct
23 Correct 126 ms 12636 KB Output is correct
24 Correct 140 ms 12884 KB Output is correct
25 Correct 150 ms 12636 KB Output is correct
26 Correct 176 ms 12636 KB Output is correct
27 Correct 188 ms 12764 KB Output is correct
28 Correct 188 ms 12636 KB Output is correct
29 Correct 179 ms 12776 KB Output is correct
30 Correct 9 ms 12636 KB Output is correct
31 Correct 10 ms 12636 KB Output is correct
32 Correct 10 ms 12636 KB Output is correct
33 Correct 9 ms 12636 KB Output is correct
34 Correct 10 ms 12636 KB Output is correct
35 Correct 10 ms 12788 KB Output is correct
36 Correct 9 ms 12800 KB Output is correct
37 Correct 9 ms 12636 KB Output is correct
38 Correct 10 ms 12636 KB Output is correct
39 Correct 7 ms 12636 KB Output is correct
40 Correct 7 ms 12596 KB Output is correct
41 Correct 8 ms 12636 KB Output is correct
42 Correct 7 ms 12636 KB Output is correct
43 Correct 8 ms 12560 KB Output is correct
44 Correct 8 ms 12636 KB Output is correct
45 Correct 8 ms 12636 KB Output is correct
46 Correct 8 ms 12632 KB Output is correct
47 Correct 8 ms 12888 KB Output is correct
48 Correct 10 ms 12636 KB Output is correct
49 Correct 7 ms 12636 KB Output is correct
50 Correct 7 ms 12636 KB Output is correct
51 Correct 7 ms 12636 KB Output is correct
52 Correct 7 ms 12636 KB Output is correct
53 Correct 7 ms 12636 KB Output is correct
54 Correct 6 ms 12636 KB Output is correct
55 Correct 6 ms 12636 KB Output is correct
56 Correct 6 ms 12636 KB Output is correct
57 Correct 7 ms 12636 KB Output is correct
58 Correct 7 ms 12636 KB Output is correct
59 Correct 165 ms 12780 KB Output is correct
60 Correct 150 ms 12636 KB Output is correct
61 Correct 142 ms 12636 KB Output is correct
62 Correct 167 ms 12784 KB Output is correct
63 Correct 162 ms 12788 KB Output is correct
64 Correct 227 ms 12884 KB Output is correct
65 Correct 214 ms 12784 KB Output is correct
66 Correct 216 ms 12888 KB Output is correct
67 Correct 211 ms 12880 KB Output is correct
68 Correct 209 ms 12632 KB Output is correct
69 Correct 123 ms 12784 KB Output is correct
70 Correct 127 ms 12784 KB Output is correct
71 Correct 137 ms 12784 KB Output is correct
72 Correct 134 ms 12632 KB Output is correct
73 Correct 132 ms 12636 KB Output is correct
74 Correct 36 ms 12632 KB Output is correct
75 Correct 33 ms 12632 KB Output is correct
76 Correct 33 ms 12636 KB Output is correct
77 Correct 35 ms 12692 KB Output is correct
78 Correct 34 ms 12636 KB Output is correct