oj.uz

Submission #696877

# Submission time Handle Problem Language Result Execution time Memory
696877 2023-02-07T14:14:18 Z puppy Fish (IOI08_fish) C++17
100 / 100
 551 ms 65536 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
int F, K, M;
pair<int, int> fish[500005]; //(length, color)
struct mulseg
{
    vector<int> tree;
    mulseg(int n)
    {
        int sz = 1 << ((int)ceil(log2(n+1))+1);
        tree.resize(sz);
    }
    int init(int s, int e, int node, vector<int> &arr)
    {
        if (s == e) return tree[node] = arr[s] % M;
        return tree[node] = init(s, (s+e)/2, 2*node, arr) * init((s+e)/2+1, e, 2*node+1, arr) % M;
    }
    void upd(int s, int e, int node, int id, int diff)
    {
        if (e < id || id < s) return;
        if (s == e) {
            tree[node] = (tree[node] + diff + M) % M;
            return;
        }
        upd(s, (s+e)/2, 2*node, id, diff);
        upd((s+e)/2+1, e, 2*node+1, id, diff);
        tree[node] = tree[2*node] * tree[2*node+1] % M;
    }
    int query(int s, int e, int node, int l, int r)
    {
        if (l > r) return 1;
        if (e < l || r < s) return 1;
        if (l <= s && e <= r) return tree[node];
        return query(s, (s+e)/2, 2*node, l, r) * query((s+e)/2+1, e, 2*node+1, l, r) % M;
    }
};
vector<int> lst[500005];
pair<int, int> x[500005];
signed main()
{
    ios::sync_with_stdio(false); cin.tie(0);
    cin >> F >> K >> M;
    for (int i = 0; i < F; i++) {
        cin >> fish[i].first >> fish[i].second;
    }
    sort(fish, fish + F);
    vector<int> trans(1, 0);
    vector<bool> vis(K+1);
    for (int i = F - 1; i >= 0; i--) {
        if (!vis[fish[i].second]) {
            trans.push_back(fish[i].second);
            vis[fish[i].second] = true;
        }
    }
    fill(x, x + 500005, make_pair(-1, -1));
    vector<int> to(K+1);
    for (int i = 1; i <= K; i++) to[trans[i]] = i;
    for (int i = 0; i < F; i++) fish[i].second = to[fish[i].second];
    for (int i = F-1; i >= 0; i--) {
        if (x[fish[i].second].second == -1) {
            x[fish[i].second] = make_pair(fish[i].first, i);
        }
    }
    for (int i = 0; i < F; i++) lst[fish[i].second].push_back(fish[i].first);
    mulseg seg(K);
    vector<int> cnt(K+1);
    int fin = fish[F-1].first;
    int pos = 0;
    while (pos < F && fish[pos].first <= fin/2) pos++;
    for (int i = 0; i < pos; i++) cnt[fish[i].second]++;
    for (int i = 1; i <= K; i++) cnt[i]++;
    seg.init(1, K, 1, cnt);
    int ans = 0;
    for (int i = 1; i <= K; i++) {
        int now = x[i].second;
        while (pos > 0 && fish[pos-1].first > fish[now].first/2) {
            seg.upd(1, K, 1, fish[pos-1].second, -1);
            pos--;
        }
        int len = 2 * *upper_bound(lst[i].begin(), lst[i].end(), fish[now].first/2);
        int l = 1, r = K;
        while (l < r) {
            int m = l + r >> 1;
            if (x[m].first >= len) l = m+1;
            else r = m;
        }
        ans += (seg.query(1, K, 1, l, i-1) - 1 + seg.query(1, K, 1, i, i)) * seg.query(1, K, 1, i+1, K);
        ans %= M;
    }
    assert(0 <= ans && ans < M);
    cout << ans << '\n';
}

Compilation message

fish.cpp: In function 'int main()':
fish.cpp:84:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   84 |             int m = l + r >> 1;
      |                     ~~^~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19888 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19788 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19796 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19796 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19832 KB Output is correct
2 Correct 11 ms 19848 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 19796 KB Output is correct
2 Correct 129 ms 32120 KB Output is correct

Subtask #7
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 20020 KB Output is correct

Subtask #8
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 19924 KB Output is correct

Subtask #9
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 25608 KB Output is correct
2 Correct 86 ms 29800 KB Output is correct

Subtask #10
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 20000 KB Output is correct
2 Correct 14 ms 20052 KB Output is correct
3 Correct 11 ms 20104 KB Output is correct

Subtask #11
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 28572 KB Output is correct
2 Correct 169 ms 39192 KB Output is correct
3 Correct 142 ms 39888 KB Output is correct

Subtask #12
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 33224 KB Output is correct
2 Correct 145 ms 41032 KB Output is correct

Subtask #13
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 28592 KB Output is correct
2 Correct 156 ms 33272 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 164 ms 32928 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 200 ms 35072 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 144 ms 32456 KB Output is correct
2 Correct 241 ms 39644 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 337 ms 42228 KB Output is correct
2 Correct 273 ms 42508 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 327 ms 42720 KB Output is correct
2 Correct 309 ms 47460 KB Output is correct
3 Correct 348 ms 51716 KB Output is correct
4 Correct 312 ms 47424 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 476 ms 44828 KB Output is correct
2 Correct 539 ms 65536 KB Output is correct
3 Correct 396 ms 65536 KB Output is correct
4 Correct 551 ms 65536 KB Output is correct