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Submission #1099956

# Submission time Handle Problem Language Result Execution time Memory
1099956 2024-10-12T08:06:27 Z ttamx Nile (IOI24_nile) C++17
100 / 100
 77 ms 12836 KB 
#include <bits/stdc++.h>

using namespace std;

using ll = long long;

const int INF=2e9;

vector<ll> calculate_costs(vector<int> w,vector<int> a,vector<int> b,vector<int> qr){
    int n=w.size();
    int q=qr.size();
    vector<int> ord(n);
    iota(ord.begin(),ord.end(),0);
    sort(ord.begin(),ord.end(),[&](int i,int j){
        return w[i]<w[j];
    });
    auto work=[&](vector<int> &a){
        vector<int> res(n);
        for(int i=0;i<n;i++){
            res[i]=a[ord[i]];
        }
        swap(a,res);
    };
    work(w);
    work(a);
    work(b);
    vector<ll> ans(q);
    vector<int> ord2(q);
    iota(ord2.begin(),ord2.end(),0);
    sort(ord2.begin(),ord2.end(),[&](int i,int j){
        return qr[i]<qr[j];
    });
    vector<int> p(n);
    iota(p.begin(),p.end(),0);
    function<int(int)> fp=[&](int u){
        return p[u]=u==p[u]?u:fp(p[u]);
    };
    vector<int> sz(n,1),mn(n,INF);
    vector<array<int,2>> dp(n,{INF,INF});
    for(int i=0;i<n;i++){
        dp[i][i%2]=a[i]-b[i];
    }
    ll base=0;
    for(auto x:a){
        base+=x;
    }
    vector<pair<int,int>> event,event2;
    for(int i=0;i<n-1;i++){
        event.emplace_back(w[i+1]-w[i],i);
    }
    for(int i=1;i<n-1;i++){
        event2.emplace_back(w[i+1]-w[i-1],i);
    }
    sort(event.rbegin(),event.rend());
    sort(event2.rbegin(),event2.rend());
    auto calc=[&](int i){
        if(sz[i]%2==0){
            return 0;
        }
        return min(mn[i],dp[i][i%2]);
    };
    for(auto i:ord2){
        int d=qr[i];
        while(!event.empty()&&event.back().first<=d){
            int j=event.back().second;
            event.pop_back();
            int u=fp(j),v=fp(j+1);
            base-=calc(u);
            base-=calc(v);
            p[v]=u;
            mn[u]=min(mn[u],mn[v]);
            sz[u]+=sz[v];
            dp[u][0]=min(dp[u][0],dp[v][0]);
            dp[u][1]=min(dp[u][1],dp[v][1]);
            base+=calc(u);
        }
        while(!event2.empty()&&event2.back().first<=d){
            int j=event2.back().second;
            event2.pop_back();
            int u=fp(j);
            base-=calc(u);
            mn[u]=min(mn[u],a[j]-b[j]);
            base+=calc(u);
        }
        ans[i]=base;
    }
    return ans;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 448 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 9912 KB Output is correct
2 Correct 28 ms 9916 KB Output is correct
3 Correct 28 ms 9888 KB Output is correct
4 Correct 28 ms 9744 KB Output is correct
5 Correct 28 ms 9912 KB Output is correct
6 Correct 28 ms 9912 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 8372 KB Output is correct
2 Correct 41 ms 9020 KB Output is correct
3 Correct 45 ms 8628 KB Output is correct
4 Correct 43 ms 8636 KB Output is correct
5 Correct 42 ms 8720 KB Output is correct
6 Correct 49 ms 8628 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 448 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 604 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 448 KB Output is correct
7 Correct 28 ms 9912 KB Output is correct
8 Correct 28 ms 9916 KB Output is correct
9 Correct 28 ms 9888 KB Output is correct
10 Correct 28 ms 9744 KB Output is correct
11 Correct 28 ms 9912 KB Output is correct
12 Correct 28 ms 9912 KB Output is correct
13 Correct 30 ms 8372 KB Output is correct
14 Correct 41 ms 9020 KB Output is correct
15 Correct 45 ms 8628 KB Output is correct
16 Correct 43 ms 8636 KB Output is correct
17 Correct 42 ms 8720 KB Output is correct
18 Correct 49 ms 8628 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 37 ms 9920 KB Output is correct
26 Correct 50 ms 11040 KB Output is correct
27 Correct 58 ms 10164 KB Output is correct
28 Correct 54 ms 10248 KB Output is correct
29 Correct 51 ms 10016 KB Output is correct
30 Correct 58 ms 10144 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 8372 KB Output is correct
2 Correct 41 ms 9020 KB Output is correct
3 Correct 45 ms 8628 KB Output is correct
4 Correct 43 ms 8636 KB Output is correct
5 Correct 42 ms 8720 KB Output is correct
6 Correct 49 ms 8628 KB Output is correct
7 Correct 55 ms 11040 KB Output is correct
8 Correct 64 ms 11112 KB Output is correct
9 Correct 71 ms 11192 KB Output is correct
10 Correct 70 ms 11304 KB Output is correct
11 Correct 69 ms 11192 KB Output is correct
12 Correct 64 ms 11172 KB Output is correct
13 Correct 66 ms 11188 KB Output is correct
14 Correct 57 ms 10884 KB Output is correct
15 Correct 68 ms 11188 KB Output is correct

Subtask #7
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 448 KB Output is correct
8 Correct 28 ms 9912 KB Output is correct
9 Correct 28 ms 9916 KB Output is correct
10 Correct 28 ms 9888 KB Output is correct
11 Correct 28 ms 9744 KB Output is correct
12 Correct 28 ms 9912 KB Output is correct
13 Correct 28 ms 9912 KB Output is correct
14 Correct 30 ms 8372 KB Output is correct
15 Correct 41 ms 9020 KB Output is correct
16 Correct 45 ms 8628 KB Output is correct
17 Correct 43 ms 8636 KB Output is correct
18 Correct 42 ms 8720 KB Output is correct
19 Correct 49 ms 8628 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 37 ms 9920 KB Output is correct
27 Correct 50 ms 11040 KB Output is correct
28 Correct 58 ms 10164 KB Output is correct
29 Correct 54 ms 10248 KB Output is correct
30 Correct 51 ms 10016 KB Output is correct
31 Correct 58 ms 10144 KB Output is correct
32 Correct 55 ms 11040 KB Output is correct
33 Correct 64 ms 11112 KB Output is correct
34 Correct 71 ms 11192 KB Output is correct
35 Correct 70 ms 11304 KB Output is correct
36 Correct 69 ms 11192 KB Output is correct
37 Correct 64 ms 11172 KB Output is correct
38 Correct 66 ms 11188 KB Output is correct
39 Correct 57 ms 10884 KB Output is correct
40 Correct 68 ms 11188 KB Output is correct
41 Correct 58 ms 12448 KB Output is correct
42 Correct 68 ms 12684 KB Output is correct
43 Correct 74 ms 12620 KB Output is correct
44 Correct 72 ms 12836 KB Output is correct
45 Correct 73 ms 12824 KB Output is correct
46 Correct 72 ms 12708 KB Output is correct
47 Correct 72 ms 12724 KB Output is correct
48 Correct 65 ms 12468 KB Output is correct
49 Correct 77 ms 12728 KB Output is correct