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Submission #555327

# Submission time Handle Problem Language Result Execution time Memory
555327 2022-04-30T12:58:38 Z stefantaga Sirni (COCI17_sirni) C++14
140 / 140
 3205 ms 573620 KB 
#include <bits/stdc++.h>

using namespace std;

struct DSU {
    int cnt;
    int size;
    vector<int> e;
    DSU (int _) : size (_) {
        e = vector<int> (size, -1);
    }
    int root(int x) {
        return (e[x] < 0 ? x : (e[x] = root(e[x])));
    }
    bool same(int x, int y) {
        return root(x) == root(y);
    }
    void unite(int x, int y) {
        if (same(x, y)) return;
        x = root(x), y = root(y);
        if (-e[x] > -e[y]) {
            swap(x, y);
        }
        e[y] += e[x];
        e[x] = y;
        cnt --;
    }
};

const int N = (int)1e5;
const int Mx = (int)1e7;
int n;
int a[N];
int nxt[Mx + 1];
vector<pair<int, int>> edges[Mx + 1];

void solve() {
    cin >> n;
    for (int i = 0; i < n;i ++) {
        cin >> a[i];
    }
    sort(a, a + n);
    int ptr = 1;
    for (int i = 1; i < n;i  ++) {
        if (a[i] != a[i - 1]) {
            a[ptr] = a[i];
            ptr ++;
        }
    }
    n = ptr;
    for (int i = 0; i < n; i ++) {
        nxt[a[i]] = -(i + 1);
    }
    for (int i = a[n - 1] - 1; i >= 0; i --) {
        if (nxt[i] == 0) {
            nxt[i] = nxt[i + 1];
            if (nxt[i] < 0) nxt[i] *= -1;
        }
    }
    for (int i = 0; i < n - 1; i ++) {
        for (int j = a[i]; j <= a[n - 1]; j += a[i]) {
            int nt;
            if (j == a[i]) {
                nt = (nxt[a[i] + 1] < 0 ? -nxt[a[i] + 1] : nxt[a[i] + 1]);
            } else {
                nt = (nxt[j] < 0 ? -nxt[j] : nxt[j]);

            }
            if (a[nt - 1] >= j + a[i]) continue;
            edges[a[nt - 1] - j].push_back(make_pair(i + 1, nt));
        }
    }
    int64_t ans = 0;
    DSU d(n);
    for (int i = 0; i < a[n - 1]; i ++) {
        for (auto& e : edges[i]) {
            if (!d.same(e.first - 1, e.second - 1)) {
                d.unite(e.first - 1, e.second - 1);
                ans += i;
            }
        }
    }
    cout << ans << '\n';
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
    return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 274392 KB Output is correct
2 Correct 217 ms 276696 KB Output is correct
3 Correct 175 ms 274420 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 111 ms 235288 KB Output is correct
2 Correct 452 ms 274892 KB Output is correct
3 Correct 177 ms 274508 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 179 ms 274484 KB Output is correct
2 Correct 185 ms 274184 KB Output is correct
3 Correct 177 ms 274424 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 163 ms 248980 KB Output is correct
2 Correct 262 ms 276108 KB Output is correct
3 Correct 179 ms 254092 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 122 ms 240724 KB Output is correct
2 Correct 233 ms 261332 KB Output is correct
3 Correct 155 ms 247048 KB Output is correct

Subtask #6
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 216 ms 261200 KB Output is correct
2 Correct 305 ms 290808 KB Output is correct
3 Correct 168 ms 252676 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 126 ms 239324 KB Output is correct
2 Correct 290 ms 285552 KB Output is correct
3 Correct 177 ms 252128 KB Output is correct

Subtask #8
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 299 ms 286988 KB Output is correct
2 Correct 1451 ms 482872 KB Output is correct
3 Correct 321 ms 289448 KB Output is correct

Subtask #9
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 279 ms 286816 KB Output is correct
2 Correct 3116 ms 573620 KB Output is correct
3 Correct 350 ms 294016 KB Output is correct

Subtask #10
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 276624 KB Output is correct
2 Correct 3205 ms 569508 KB Output is correct
3 Correct 178 ms 254520 KB Output is correct