oj.uz

Submission #233744

# Submission time Handle Problem Language Result Execution time Memory
233744 2020-05-21T15:50:30 Z Mamedov KOVANICE (COI15_kovanice) C++14
100 / 100
 218 ms 29552 KB 
#include <bits/stdc++.h>
#define pii pair<int, int>
#define f first
#define s second
#define pb push_back

using namespace std;

const int up = 3e5 + 5;
int n;
int par[up], type[up], inDegree[up], root[up], dis[up];
vector <pii> equals, lesses;
vector <vector<int>> g;

void extract(string &ACB, int &A, int &B, char &C) {
    A = B = 0;
    int i = 0;
    while(isdigit(ACB[i])) {
        A = 10 * A + ACB[i] - '0';
        ++i;
    }
    C = ACB[i];
    ++i;
    while(ACB[i] != '\0') {
        B = 10 * B + ACB[i] - '0';
        ++i;
    }
}

int Find(int u) {
    return (par[u] < 0 ? u : par[u] = Find(par[u]));
}

void Union(int u, int v) {
    u = Find(u);
    v = Find(v);
    if(u != v) {
        if(par[u] > par[v]) {
            swap(u, v);
        }
        par[u] += par[v];
        par[v] = u;
    }
}

void dfs1(int node) {
    if(dis[node]) return;
    dis[node] = 1;
    for(int to : g[node]) {
        dfs1(to);
        dis[node] = max(dis[node], dis[to] + 1);
    }
}
void dfs2(int node) {
    if(type[node]) return;
    type[node] = dis[node];
    for(int to : g[node]) {
        if(dis[to] == dis[node] - 1) {
            dfs2(to);
        }
    }
}
void solve() {
    ios_base::sync_with_stdio(false);
    int m, v, A, B;
    char C;
    string ACB;
    cin >> n >> m >> v;
    for(int i = 0; i < v; ++i) {
        cin >> ACB;
        extract(ACB, A, B, C);
        if(C == '=') {
            equals.pb({A, B});
        }else {
            lesses.pb({A, B});
        }
    }
    memset(par, -1, sizeof(par));
    for(pii e : equals) {
        Union(e.f, e.s);
    }
    for(int i = 1; i <= m; ++i) {
        root[i] = Find(i);
    }
    g.resize(m + 1);
    for(pii l : lesses) {
        g[root[l.s]].pb(root[l.f]);
        ++inDegree[root[l.f]];
    }
    for(int i = 1; i <= m; ++i) {
        if(i == root[i] && !inDegree[i]) dfs1(i);
    }
    for(int i = 1; i <= m; ++i) {
        if(dis[i] == n) dfs2(i);
    }
    for(int i = 1; i <= m; ++i) {
        if(!type[root[i]]) {
            cout << '?' << '\n';
        }else {
            cout << 'K' << type[root[i]] << '\n';
        }
    }
}
int main()
{
    solve();
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1664 KB Output is correct
2 Correct 6 ms 1664 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 13236 KB Output is correct
2 Correct 68 ms 13268 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3736 KB Output is correct
2 Correct 18 ms 3728 KB Output is correct
3 Correct 19 ms 3736 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 162 ms 22556 KB Output is correct
2 Correct 152 ms 24292 KB Output is correct
3 Correct 141 ms 24160 KB Output is correct
4 Correct 194 ms 25840 KB Output is correct
5 Correct 218 ms 29552 KB Output is correct