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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#414753#7177. Many Many CyclespandapythonerWA 1535ms5276kbC++207.4kb2024-05-19 16:29:362024-05-19 16:29:38

Judging History

你现在查看的是最新测评结果

  • [2024-05-19 16:29:38]
  • 评测
  • 测评结果:WA
  • 用时:1535ms
  • 内存:5276kb
  • [2024-05-19 16:29:36]
  • 提交

answer

#include <bits/stdc++.h>


using namespace std;

#define int long long
#define ll long long
#define flt double
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()


const ll inf = 1e18;
mt19937 rnd(234);


struct DSU {
    int n;
    vector<int> t;


    void build(int _n) {
        n = _n;
        t.resize(n);
        for (int i = 0; i < n; i += 1) {
            t[i] = i;
        }
    }


    int get(int v) {
        if (t[v] == v) {
            return v;
        }
        return t[v] = get(t[v]);
    }


    void merge(int a, int b) {
        a = get(a);
        b = get(b);
        if (a == b) {
            return;
        }
        t[a] = b;
    }
};

struct edge {
    int to;
    ll w;
    int i;
};


int n, m;
vector<vector<edge>> g;
vector<vector<edge>> rg;
vector<ll> clr;
DSU dsu;
vector<ll> h;
vector<ll> up;


void components_dfs(int v, int p, int pi, int mh) {
    h[v] = mh;
    up[v] = mh;
    for (auto [to, w, i] : g[v]) {
        if (to == p) {
            continue;
        }
        if (h[to] != -1) {
            if (h[to] < h[v] and pi != -1) {
                dsu.merge(i, pi);
            }
            up[v] = min(up[v], h[to]);
            continue;
        }
        components_dfs(to, v, i, mh + 1);
        up[v] = min(up[v], up[to]);
        if (up[to] < h[v]) {
            if (pi != -1) {
                dsu.merge(i, pi);
            }
        }
    }
}


bool paint(int from, int to, int i, ll mw, ll k) {
    for (auto [toto, w, j] : g[to]) {
        if (toto == from or dsu.get(i) != dsu.get(j)) {
            continue;
        }
        if (clr[j] != -1) {
            if (clr[j] != (clr[i] + w) % k) {
                return false;
            }
            continue;
        }
        clr[j] = (clr[i] + w) % k;
        if (!paint(to, toto, j, w, k)) {
            return false;
        }
    }
    for (auto [fromfrom, w, j] : rg[from]) {
        if (fromfrom == to or dsu.get(i) != dsu.get(j)) {
            continue;
        }
        if (clr[j] != -1) {
            if (clr[i] != (clr[j] + mw) % k) {
                return false;
            }
            continue;
        }
        clr[j] = ((clr[i] - mw) % k + k) % k;
        if (!paint(fromfrom, from, j, w, k)) {
            return false;
        }
    }
    return true;
}


bool check(ll k) {
    clr.assign(m + m, -1);
    for (int from = 0; from < n; from += 1) {
        for (auto [to, w, i] : g[from]) {
            if (clr[i] != -1) {
                continue;
            }
            clr[i] = 0;
            if (!paint(from, to, i, w, k)) {
                return false;
            }
        }
    }
    return true;
}


ll dfs(int v, int p, ll mh) {
    h[v] = mh;
    for (auto [to, w, _] : g[v]) {
        if (to == p) {
            continue;
        }
        if (h[to] != -1) {
            return h[v] - h[to] + w;
        }
        ll x = dfs(to, v, mh + w);
        if (x != -1) {
            return x;
        }
    }
    return -1;
}

ll find_cycle() {
    h.assign(n, -1);
    for (int v = 0; v < n; v += 1) {
        if (h[v] == -1) {
            ll x = dfs(v, -1, 0);
            if (x != -1) {
                return x;
            }
        }
    }
    return -1;
}



ll solve() {
    dsu.build(2 * m);
    for (int i = 0; i < m; i += 1) {
        dsu.merge(2 * i, 2 * i + 1);
    }
    h.assign(n, -1);
    up.assign(n, -1);
    for (int v = 0; v < n; v += 1) {
        if (h[v] == -1) {
            components_dfs(v, -1, -1, 0);
        }
    }
    ll c = find_cycle();
    if (c == -1) {
        return 0;
    }
    ll val = 1;
    for (ll i = 2; i * i <= c; i += 1) {
        while (c % i == 0) {
            c /= i;
            if (check(val * i)) {
                val *= i;
            }
        }
    }
    if (c > 1) {
        if (check(val * c)) {
            val *= c;
        }
        c = 1;
    }
    return val;
}


void stupid_dfs(int v, int p, ll mask, ll mh, ll& rs) {
    h[v] = mh;
    for (auto [to, w, i] : g[v]) {
        i /= 2;
        if ((mask >> i) % 2 == 0) {
            continue;
        }
        if (to == p) {
            continue;
        }
        if (h[to] != -1) {
            if (h[to] < h[v]) {
                rs = h[v] - h[to] + w;
            }
            continue;
        }
        stupid_dfs(to, v, mask, mh + w, rs);
    }
}


ll solve_slow() {
    ll rs = 0;
    for (ll mask = 0; mask < (1 << m); mask += 1) {
        h.assign(n, -1);
        for (int v = 0; v < n; v += 1) {
            if (h[v] != -1) {
                continue;
            }
            ll x = -1;
            stupid_dfs(v, -1, mask, 0, x);
            if (x != -1) {
                rs = gcd(rs, x);
            }
        }
    }
    return rs;
}



void random_dfs(int v, int p, ll mh, ll& rs) {
    h[v] = mh;
    shuffle(all(g[v]), rnd);
    for (auto [to, w, i] : g[v]) {
        if (to == p) {
            continue;
        }
        if (h[to] != -1) {
            if (h[to] < h[v]) {
                rs = gcd(rs, h[v] - h[to] + w);
            }
            continue;
        }
        random_dfs(to, v, mh + w, rs);
    }
}


ll solve_random() {
    ll rs = 0;
    for (int itr = 0; itr < 3500; itr += 1) {
        h.assign(n, -1);
        random_dfs(0, -1, 0, rs);
    }
    return rs;
}

void gen_test(int maxn = 6, int maxm = 8, int maxc = 3) {
    n = rnd() % (maxn - 1) + 2;
    maxm = min(maxm, n * (n - 1) / 2);
    m = rnd() % maxm + 1;
    set<pair<int, int>> st;
    g.assign(n, vector<edge>());
    rg.assign(n, vector<edge>());
    for (int i = 0; i < m; i += 1) {
        int u = rnd() % n;
        int v = rnd() % n;
        while (st.find(make_pair(u, v)) != st.end() || u == v) {
            u = rnd() % n;
            v = rnd() % n;
        }
        st.insert(make_pair(u, v));
        st.insert(make_pair(v, u));
        int c = rnd() % maxc + 1;
        g[u].push_back(edge{ v, c, 2 * i });
        rg[v].push_back(edge{ u, c, 2 * i });
        g[v].push_back(edge{ u, c, 2 * i + 1 });
        rg[u].push_back(edge{ v, c, 2 * i + 1 });
    }
}


void print_test() {
    cout << n << " " << m << "\n";
    for (int v = 0; v < n; v += 1) {
        for (auto [to, w, i] : g[v]) {
            if (i % 2 == 0) {
                cout << v + 1 << " " << to + 1 << " " << w << "\n";
            }
        }
    }
}

void stress() {
    int c = 0;
    while (1) {
        cout << ++c << "\n";
        gen_test();
        ll right_rs = solve_slow();
        ll my_rs = solve();
        if (right_rs != my_rs) {
            print_test();
            break;
        }
    }
}


int32_t main() {
    // stress();
    if (1) {
        ios::sync_with_stdio(0);
        cin.tie(0);
        cout.tie(0);
    }
    cin >> n >> m;
    g.assign(n, vector<edge>());
    rg.assign(n, vector<edge>());
    for (int i = 0; i < m; i += 1) {
        int u, v;
        ll c;
        cin >> u >> v >> c;
        --u;
        --v;
        g[u].push_back(edge{ v, c, 2 * i });
        rg[v].push_back(edge{ u, c, 2 * i });
        g[v].push_back(edge{ u, c, 2 * i + 1 });
        rg[u].push_back(edge{ v, c, 2 * i + 1 });
    }
    ll rs = solve_random();
    cout << rs << "\n";
    return 0;
}

/*
5 5
1 2 1
1 3 1
1 4 1
2 4 1
4 5 1

*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3596kb

input:

4 4
1 2 1
2 3 1
3 4 1
4 1 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3536kb

input:

4 5
1 2 1
1 3 2
1 4 1
2 3 1
3 4 1

output:

4

result:

ok answer is '4'

Test #3:

score: 0
Accepted
time: 5ms
memory: 3544kb

input:

20 50
1 2 8
1 3 1
3 4 5
3 5 9
3 6 5
6 7 6
7 8 8
2 9 2
8 10 3
8 11 7
8 12 5
3 13 4
7 14 3
6 15 7
9 16 6
8 17 7
16 18 9
16 19 3
18 20 10
11 3 2
17 1 1
16 2 2
15 1 1
10 3 2
9 1 2
19 2 1
6 1 2
7 3 1
17 3 2
15 3 2
8 6 2
5 1 2
8 1 2
12 1 1
12 7 1
4 1 2
18 2 1
11 7 1
14 1 1
18 1 1
18 9 1
10 6 1
14 3 2
20 2...

output:

2

result:

ok answer is '2'

Test #4:

score: 0
Accepted
time: 7ms
memory: 3500kb

input:

20 50
1 2 18468
1 3 26501
3 4 15725
3 5 29359
3 6 24465
6 7 28146
7 8 16828
2 9 492
8 10 11943
8 11 5437
8 12 14605
3 13 154
7 14 12383
6 15 18717
9 16 19896
8 17 21727
16 18 11539
16 19 19913
18 20 26300
11 3 2
17 1 1
16 2 2
15 1 1
10 3 2
9 1 2
19 2 1
6 1 2
7 3 1
17 3 2
15 3 2
8 6 2
5 1 2
8 1 2
12 ...

output:

1

result:

ok answer is '1'

Test #5:

score: 0
Accepted
time: 21ms
memory: 3632kb

input:

100 150
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
11...

output:

3

result:

ok answer is '3'

Test #6:

score: 0
Accepted
time: 16ms
memory: 3588kb

input:

100 130
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
11...

output:

7

result:

ok answer is '7'

Test #7:

score: 0
Accepted
time: 30ms
memory: 3632kb

input:

100 200
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
11...

output:

4

result:

ok answer is '4'

Test #8:

score: 0
Accepted
time: 30ms
memory: 3576kb

input:

100 190
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
11...

output:

2

result:

ok answer is '2'

Test #9:

score: 0
Accepted
time: 217ms
memory: 4080kb

input:

1000 1500
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

3

result:

ok answer is '3'

Test #10:

score: 0
Accepted
time: 227ms
memory: 3756kb

input:

1000 1500
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

1

result:

ok answer is '1'

Test #11:

score: 0
Accepted
time: 239ms
memory: 3824kb

input:

1000 1600
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

1

result:

ok answer is '1'

Test #12:

score: 0
Accepted
time: 29ms
memory: 3800kb

input:

100 190
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
11...

output:

4

result:

ok answer is '4'

Test #13:

score: 0
Accepted
time: 495ms
memory: 4316kb

input:

1000 3000
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

2

result:

ok answer is '2'

Test #14:

score: 0
Accepted
time: 196ms
memory: 4048kb

input:

1000 1400
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

1

result:

ok answer is '1'

Test #15:

score: 0
Accepted
time: 212ms
memory: 3812kb

input:

1000 1500
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

2

result:

ok answer is '2'

Test #16:

score: 0
Accepted
time: 212ms
memory: 4004kb

input:

1000 1500
1 2 184676335
1 3 191705725
1 4 293606963
1 5 57078146
2 6 168279962
6 7 29961943
5 8 54392392
5 9 39020154
5 10 123837422
7 11 197199896
3 12 217274772
7 13 18709913
6 14 263007036
11 15 287053812
3 16 303347674
9 17 151417712
17 18 68705548
15 19 326652758
12 20 128598724
2 21 275290779
...

output:

8

result:

ok answer is '8'

Test #17:

score: 0
Accepted
time: 318ms
memory: 4196kb

input:

2000 2500
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

12

result:

ok answer is '12'

Test #18:

score: 0
Accepted
time: 323ms
memory: 4272kb

input:

2000 2500
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

2

result:

ok answer is '2'

Test #19:

score: 0
Accepted
time: 316ms
memory: 4056kb

input:

2000 2500
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

13

result:

ok answer is '13'

Test #20:

score: 0
Accepted
time: 329ms
memory: 3996kb

input:

2000 2500
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #21:

score: 0
Accepted
time: 433ms
memory: 4128kb

input:

2000 3000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

3

result:

ok answer is '3'

Test #22:

score: 0
Accepted
time: 435ms
memory: 4344kb

input:

2000 3000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #23:

score: 0
Accepted
time: 328ms
memory: 4252kb

input:

2000 2500
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #24:

score: 0
Accepted
time: 527ms
memory: 4372kb

input:

2000 3500
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

2

result:

ok answer is '2'

Test #25:

score: 0
Accepted
time: 612ms
memory: 4480kb

input:

2000 4000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

4

result:

ok answer is '4'

Test #26:

score: 0
Accepted
time: 275ms
memory: 4160kb

input:

2000 2300
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #27:

score: 0
Accepted
time: 754ms
memory: 4404kb

input:

3000 5000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #28:

score: 0
Accepted
time: 468ms
memory: 4284kb

input:

3000 3700
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

13

result:

ok answer is '13'

Test #29:

score: 0
Accepted
time: 480ms
memory: 4284kb

input:

3000 3700
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #30:

score: 0
Accepted
time: 1217ms
memory: 4904kb

input:

5000 8000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

3

result:

ok answer is '3'

Test #31:

score: 0
Accepted
time: 1221ms
memory: 4916kb

input:

5000 8000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #32:

score: 0
Accepted
time: 1033ms
memory: 4880kb

input:

5000 7200
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

5

result:

ok answer is '5'

Test #33:

score: 0
Accepted
time: 1055ms
memory: 4808kb

input:

5000 7200
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

1

result:

ok answer is '1'

Test #34:

score: 0
Accepted
time: 1191ms
memory: 5136kb

input:

5000 8000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

6

result:

ok answer is '6'

Test #35:

score: 0
Accepted
time: 1205ms
memory: 4908kb

input:

5000 8000
1 2 22794613
1 3 23670271
1 4 36254735
1 5 7068116
2 6 20774480
6 7 3707773
5 8 6740416
5 9 4815222
5 10 15296810
7 11 24351908
3 12 26824656
7 13 2326259
6 14 32470002
11 15 35443314
3 16 37448596
9 17 18691706
17 18 8500660
15 19 40337666
12 20 15876730
2 21 33971565
11 22 3767381
17 23 ...

output:

2

result:

ok answer is '2'

Test #36:

score: 0
Accepted
time: 1535ms
memory: 5276kb

input:

5000 10000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 205804...

output:

4

result:

ok answer is '4'

Test #37:

score: 0
Accepted
time: 1515ms
memory: 5268kb

input:

5000 10000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 205804...

output:

2

result:

ok answer is '2'

Test #38:

score: 0
Accepted
time: 762ms
memory: 4584kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

7

result:

ok answer is '7'

Test #39:

score: 0
Accepted
time: 765ms
memory: 4700kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

1

result:

ok answer is '1'

Test #40:

score: 0
Accepted
time: 751ms
memory: 4576kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

2

result:

ok answer is '2'

Test #41:

score: 0
Accepted
time: 763ms
memory: 4696kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

9

result:

ok answer is '9'

Test #42:

score: 0
Accepted
time: 892ms
memory: 5020kb

input:

5000 6666
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

9

result:

ok answer is '9'

Test #43:

score: 0
Accepted
time: 911ms
memory: 4752kb

input:

5000 6666
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

1

result:

ok answer is '1'

Test #44:

score: 0
Accepted
time: 711ms
memory: 4628kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

12345

result:

ok answer is '12345'

Test #45:

score: 0
Accepted
time: 729ms
memory: 4828kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

997

result:

ok answer is '997'

Test #46:

score: 0
Accepted
time: 763ms
memory: 4636kb

input:

5000 6000
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

1

result:

ok answer is '1'

Test #47:

score: 0
Accepted
time: 469ms
memory: 4532kb

input:

5000 4999
1 2 4216811
1 3 4386257
1 4 6720587
1 5 1328886
2 6 3846518
6 7 694803
5 8 1271800
5 9 889810
5 10 2840518
7 11 4515600
3 12 4968300
7 13 446045
6 14 6013208
11 15 6568096
3 16 6933598
9 17 3459860
17 18 1591452
15 19 7479694
12 20 2940576
2 21 6277391
11 22 714171
17 23 95771
2 24 2058041...

output:

0

result:

ok answer is '0'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

6 6
1 2 999999999
2 3 999999999
3 4 999999999
4 5 999999999
5 6 999999999
6 1 999999999

output:

5999999994

result:

ok answer is '5999999994'

Test #49:

score: -100
Wrong Answer
time: 1ms
memory: 3732kb

input:

6 6
1 2 6
2 3 6
3 1 6
4 5 15
5 6 7
6 4 8

output:

18

result:

wrong answer expected '6', found '18'