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Submission #59318

# Submission time Handle Problem Language Result Execution time Memory
59318 2018-07-21T13:58:02 Z gabrielsimoes Duathlon (APIO18_duathlon) C++17
66 / 100
 309 ms 32844 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const int MAXN = 1e5+10;
const int MAXM = 2e5+10;

int n, m;
vector<int> g[MAXN];

bool ok[MAXN];
int pre[MAXN];
int link[MAXN];
int t = 0;

int rep[MAXN];
void dfs0(int cur, int prev) {
    if (ok[cur]) return;
    ok[cur] = 1;
    link[cur] = pre[cur] = t++;
    rep[cur] = cur;

    for (int nx : g[cur]) {
        if (nx != prev) {
            if (ok[nx]) {
                link[cur] = min(link[cur], pre[nx]);
            } else {
                dfs0(nx, cur);
                link[cur] = min(link[cur], link[nx]);

                if (link[nx] <= pre[cur]) { // same component (not a bridge)
                    rep[nx] = rep[cur];
                }
            }
        }
    }
}

void normalize(int cur) {
    if (rep[cur] != cur) {
        normalize(rep[cur]);
        rep[cur] = rep[rep[cur]];
    }
}

vector<int> comp[MAXN];
ll sz[MAXN], sub[MAXN], subComp[MAXN];
void dfs1(int cur, int prev) {
    if (ok[cur]) return;
    ok[cur] = 1;

    sz[rep[cur]]++;
    comp[rep[cur]].push_back(cur);

    for (int nx : g[cur]) {
        if (nx != prev) {
            dfs1(nx, cur);
            if (rep[nx] != rep[cur]) {
                sub[cur] += subComp[rep[nx]] + sz[rep[nx]];
            }
        }
    }

    subComp[rep[cur]] += sub[cur];
}

ll ans = 0;
void dfs2(int cur, int prev, ll sum = 0) {
    if (ok[cur]) return;
    ok[cur] = 1;

    sub[cur] += sum;
    subComp[cur] += sum;

    // printf("sz %lld: %lld\n", sz[cur], sz[cur] * (sz[cur] - 1) * (sz[cur] - 2));
    // ans += sz[cur] * (sz[cur] - 1) * (sz[cur] - 2);

    // printf("%d, %d ~ sum %lld ~ ans %ld\n", cur, prev, sum, ans);

    for (int v : comp[cur]) {
        ok[v] = true;
        for (int nx : g[v]) {
            if (nx != prev && rep[nx] != cur) {
                // printf("\t%d ~> %d %lld %lld %lld %lld\n", v, nx, subComp[cur], sz[cur], -subComp[nx], -sz[nx]);
                dfs2(nx, v, subComp[cur] + sz[cur] - subComp[nx] - sz[nx]);
                ans += (subComp[nx] + sz[nx]) * (sub[v] - subComp[nx] - sz[nx]);
                // printf("%d -> %d: %lld * %lld\n", v, nx, subComp[nx] + sz[nx], sub[v] - subComp[nx] - sz[nx]);
            } else if (nx == prev) {
                ans += sum * (sub[v] - sum);
                // printf("%d -> %d: %lld * %lld\n", v, nx, sum, sub[v] - sum);
            }
        }
    }

    ll prodSum = 0;
    for (int u : comp[cur]) {
        ans += 2LL * sub[u] * (sz[cur] - 1LL + subComp[cur] - sub[u]);
        ans += 2LL * prodSum * (sub[u] + 1LL) * (sz[cur] - 2LL);
        prodSum += (sub[u] + 1LL);
    }

    sub[cur] -= sum;
    subComp[cur] -= sum;
}

int main() {
    scanf("%d%d", &n, &m);

    for (int i = 0,a,b; i < m; i++) {
        scanf("%d%d", &a, &b);
        g[a].push_back(b);
        g[b].push_back(a);
    }

    for (int i = 1; i <= n; i++) dfs0(i, i);
    for (int i = 1; i <= n; i++) normalize(i);
    memset(ok, 0, sizeof(ok));
    for (int i = 1; i <= n; i++) dfs1(i, i);
    memset(ok, 0, sizeof(ok));
    // for (int i = 1; i <= n; i++) printf("%d: rep %d sub %d\n", i, rep[i], sub[i]);
    // for (int i = 1; i <= n; i++) if(i == rep[i]) printf("comp %d: sz %d, subComp %d\n", i, sz[i], subComp[i]);
    for (int i = 1; i <= n; i++) dfs2(i, i);

    printf("%lld\n", ans);
}

Compilation message

count_triplets.cpp: In function 'int main()':
count_triplets.cpp:107:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &n, &m);
     ~~~~~^~~~~~~~~~~~~~~~
count_triplets.cpp:110:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d%d", &a, &b);
         ~~~~~^~~~~~~~~~~~~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 8 ms 5220 KB Output is correct
3 Correct 8 ms 5220 KB Output is correct
4 Correct 7 ms 5220 KB Output is correct
5 Correct 6 ms 5296 KB Output is correct
6 Correct 8 ms 5340 KB Output is correct
7 Correct 8 ms 5376 KB Output is correct
8 Incorrect 6 ms 5376 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 8 ms 5220 KB Output is correct
3 Correct 8 ms 5220 KB Output is correct
4 Correct 7 ms 5220 KB Output is correct
5 Correct 6 ms 5296 KB Output is correct
6 Correct 8 ms 5340 KB Output is correct
7 Correct 8 ms 5376 KB Output is correct
8 Incorrect 6 ms 5376 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 192 ms 16536 KB Output is correct
2 Correct 206 ms 16536 KB Output is correct
3 Correct 197 ms 18272 KB Output is correct
4 Correct 236 ms 18272 KB Output is correct
5 Correct 185 ms 18272 KB Output is correct
6 Correct 252 ms 18272 KB Output is correct
7 Correct 227 ms 18272 KB Output is correct
8 Correct 234 ms 18272 KB Output is correct
9 Correct 237 ms 18272 KB Output is correct
10 Correct 216 ms 18272 KB Output is correct
11 Correct 174 ms 18272 KB Output is correct
12 Correct 190 ms 18272 KB Output is correct
13 Correct 180 ms 18272 KB Output is correct
14 Correct 205 ms 18272 KB Output is correct
15 Correct 139 ms 18272 KB Output is correct
16 Correct 141 ms 18272 KB Output is correct
17 Correct 27 ms 18272 KB Output is correct
18 Correct 23 ms 18272 KB Output is correct
19 Correct 24 ms 18272 KB Output is correct
20 Correct 18 ms 18272 KB Output is correct
21 Correct 21 ms 18272 KB Output is correct
22 Correct 19 ms 18272 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 18272 KB Output is correct
2 Correct 9 ms 18272 KB Output is correct
3 Correct 9 ms 18272 KB Output is correct
4 Correct 7 ms 18272 KB Output is correct
5 Correct 6 ms 18272 KB Output is correct
6 Correct 8 ms 18272 KB Output is correct
7 Correct 7 ms 18272 KB Output is correct
8 Correct 7 ms 18272 KB Output is correct
9 Correct 7 ms 18272 KB Output is correct
10 Correct 7 ms 18272 KB Output is correct
11 Correct 8 ms 18272 KB Output is correct
12 Correct 11 ms 18272 KB Output is correct
13 Correct 7 ms 18272 KB Output is correct
14 Correct 7 ms 18272 KB Output is correct
15 Correct 9 ms 18272 KB Output is correct
16 Correct 9 ms 18272 KB Output is correct
17 Correct 8 ms 18272 KB Output is correct
18 Correct 7 ms 18272 KB Output is correct
19 Correct 9 ms 18272 KB Output is correct
20 Correct 8 ms 18272 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 275 ms 18272 KB Output is correct
2 Correct 234 ms 18272 KB Output is correct
3 Correct 218 ms 18272 KB Output is correct
4 Correct 208 ms 18272 KB Output is correct
5 Correct 189 ms 18272 KB Output is correct
6 Correct 247 ms 21212 KB Output is correct
7 Correct 288 ms 21212 KB Output is correct
8 Correct 304 ms 21212 KB Output is correct
9 Correct 278 ms 21212 KB Output is correct
10 Correct 224 ms 21212 KB Output is correct
11 Correct 181 ms 21212 KB Output is correct
12 Correct 245 ms 21212 KB Output is correct
13 Correct 224 ms 21212 KB Output is correct
14 Correct 222 ms 21212 KB Output is correct
15 Correct 168 ms 21212 KB Output is correct
16 Correct 104 ms 21212 KB Output is correct
17 Correct 140 ms 21212 KB Output is correct
18 Correct 191 ms 21212 KB Output is correct
19 Correct 159 ms 21212 KB Output is correct
20 Correct 142 ms 21212 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 21212 KB Output is correct
2 Correct 7 ms 21212 KB Output is correct
3 Correct 7 ms 21212 KB Output is correct
4 Correct 9 ms 21212 KB Output is correct
5 Correct 9 ms 21212 KB Output is correct
6 Correct 7 ms 21212 KB Output is correct
7 Correct 9 ms 21212 KB Output is correct
8 Correct 7 ms 21212 KB Output is correct
9 Correct 10 ms 21212 KB Output is correct
10 Correct 10 ms 21212 KB Output is correct
11 Correct 8 ms 21212 KB Output is correct
12 Correct 7 ms 21212 KB Output is correct
13 Correct 10 ms 21212 KB Output is correct
14 Correct 8 ms 21212 KB Output is correct
15 Correct 8 ms 21212 KB Output is correct
16 Correct 9 ms 21212 KB Output is correct
17 Correct 8 ms 21212 KB Output is correct
18 Correct 6 ms 21212 KB Output is correct
19 Correct 8 ms 21212 KB Output is correct
20 Correct 8 ms 21212 KB Output is correct
21 Correct 7 ms 21212 KB Output is correct
22 Correct 9 ms 21212 KB Output is correct
23 Correct 7 ms 21212 KB Output is correct
24 Correct 8 ms 21212 KB Output is correct
25 Correct 8 ms 21212 KB Output is correct
26 Correct 8 ms 21212 KB Output is correct
27 Correct 8 ms 21212 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 241 ms 21212 KB Output is correct
2 Correct 269 ms 21212 KB Output is correct
3 Correct 247 ms 21212 KB Output is correct
4 Correct 238 ms 21212 KB Output is correct
5 Correct 230 ms 21212 KB Output is correct
6 Correct 182 ms 21212 KB Output is correct
7 Correct 174 ms 21212 KB Output is correct
8 Correct 192 ms 21212 KB Output is correct
9 Correct 172 ms 21212 KB Output is correct
10 Correct 182 ms 21212 KB Output is correct
11 Correct 193 ms 21212 KB Output is correct
12 Correct 191 ms 21212 KB Output is correct
13 Correct 148 ms 21212 KB Output is correct
14 Correct 139 ms 21212 KB Output is correct
15 Correct 309 ms 21212 KB Output is correct
16 Correct 226 ms 21212 KB Output is correct
17 Correct 214 ms 21212 KB Output is correct
18 Correct 280 ms 21456 KB Output is correct
19 Correct 174 ms 21456 KB Output is correct
20 Correct 240 ms 22380 KB Output is correct
21 Correct 177 ms 24012 KB Output is correct
22 Correct 215 ms 25256 KB Output is correct
23 Correct 163 ms 26400 KB Output is correct
24 Correct 180 ms 28920 KB Output is correct
25 Correct 182 ms 30544 KB Output is correct
26 Correct 272 ms 31512 KB Output is correct
27 Correct 263 ms 32844 KB Output is correct

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 8 ms 5220 KB Output is correct
3 Correct 8 ms 5220 KB Output is correct
4 Correct 7 ms 5220 KB Output is correct
5 Correct 6 ms 5296 KB Output is correct
6 Correct 8 ms 5340 KB Output is correct
7 Correct 8 ms 5376 KB Output is correct
8 Incorrect 6 ms 5376 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 8 ms 5220 KB Output is correct
3 Correct 8 ms 5220 KB Output is correct
4 Correct 7 ms 5220 KB Output is correct
5 Correct 6 ms 5296 KB Output is correct
6 Correct 8 ms 5340 KB Output is correct
7 Correct 8 ms 5376 KB Output is correct
8 Incorrect 6 ms 5376 KB Output isn't correct
9 Halted 0 ms 0 KB -