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Submission #557679

# Submission time Handle Problem Language Result Execution time Memory
557679 2022-05-05T18:37:39 Z status_coding Star Trek (CEOI20_startrek) C++14
30 / 100
 1000 ms 14068 KB 
#include <bits/stdc++.h>
#define mod 1000000007

using namespace std;

long long put(long long baza, long long exp)
{
    if(!exp)
        return 1;

    long long ans = put(baza, exp/2);
    ans *= ans;
    ans %= mod;

    if(exp % 2)
    {
        ans *= baza;
        ans %= mod;
    }

    return ans;
}

long long n,d;

bool win[100005];
long long nrCritF[100005];

vector<int> v[100005];

bool dp[100005];
int nrFChild[100005];
int nrCrit[100005];

long long cntF[100005];

void calcDp(int p, int avoid=0)
{
    nrFChild[p] = 0;
    dp[p] = false;
    nrCrit[p] = 0;

    for(int it : v[p])
    {
        if(it == avoid)
            continue;

        if(!dp[it])
        {
            nrFChild[p] ++;
            dp[p] = true;
        }
    }

    if(!dp[p])
        nrCrit[p] = 1;

    for(int it : v[p])
    {
        if(it == avoid)
            continue;

        if(!dp[p] && dp[it])
            nrCrit[p] += nrCrit[it];

        if(dp[p] && !dp[it] && nrFChild[p] == 1)
            nrCrit[p] += nrCrit[it];
    }
}

void dfs(int p, int par)
{
    for(int it : v[p])
    {
        if(it == par)
            continue;

        dfs(it, p);
    }

    calcDp(p, par);
}

void calc(int p, int par)
{
    win[p] = dp[p];
    nrCritF[p] = nrCrit[p];

    for(int it : v[p])
    {
        if(it == par)
            continue;

        calcDp(p, it);
        calcDp(it);

        calc(it, p);

        calcDp(it, p);
        calcDp(p);
    }
}

int main()
{
    cin>>n>>d;

    if(n == 2)
    {
        cout<<put(n, 2*d);
        return 0;
    }

    for(int i=1;i<n;i++)
    {
        int x, y;
        cin>>x>>y;

        v[x].push_back(y);
        v[y].push_back(x);
    }

    dfs(1, 0);
    calc(1, 0);

    /*
    for(int i=1;i<=n;i++)
        cout<<win[i]<<' '<<nrCritF[i]<<'\n';
    */

    for(int i=1;i<=n;i++)
        if(!win[i])
            cntF[i] = 1;

    for(int i=d-1; i>=0; i--)
    {
        long long nrF = 0;

        for(int j=1;j<=n;j++)
            nrF += cntF[j];

        for(int j=1;j<=n;j++)
        {
            if(win[j])
            {
                cntF[j] = nrCritF[j] * nrF;
                cntF[j] %= mod;
            }
            else
            {
                cntF[j] = nrCritF[j] * (n - nrF);
                cntF[j] %= mod;

                cntF[j] += (n - nrCritF[j]) * n;
                cntF[j] %= mod;
            }
        }
    }

    cout<<(put(n, 2*d) - cntF[1] + mod) % mod;
    return 0;
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Incorrect 6 ms 2644 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2664 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 1 ms 2664 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2664 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2664 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2668 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 4 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct

Subtask #5
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2664 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2668 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 4 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 98 ms 11756 KB Output is correct
13 Correct 97 ms 14068 KB Output is correct
14 Execution timed out 1084 ms 8668 KB Time limit exceeded
15 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2664 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2668 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 4 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Incorrect 6 ms 2664 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2664 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2668 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 4 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 98 ms 11756 KB Output is correct
13 Correct 97 ms 14068 KB Output is correct
14 Execution timed out 1084 ms 8668 KB Time limit exceeded
15 Halted 0 ms 0 KB -

Subtask #8
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Incorrect 6 ms 2644 KB Output isn't correct
3 Halted 0 ms 0 KB -