oj.uz

Submission #343166

# Submission time Handle Problem Language Result Execution time Memory
343166 2021-01-03T13:10:26 Z sealnot123 Star Trek (CEOI20_startrek) C++14
100 / 100
 150 ms 18796 KB 
/*
	Author: AquaBlaze
	Time: 2021-01-03 18:10:22
	Generated by powerful Codeforces Tool :^)
 	You can download the binary file in here https://github.com/xalanq/cf-tool (Windows, macOS, Linux)	
    Keqing best girl :)
    Nephren will always be in my heart
*/
#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define SZ(a) (int)(a).size()
#define FOR(i, a, b) for(int i=(a); i<=(b); ++i)
#define ROF(i, a, b) for(int i=(a); i>=(b); --i)
#define make_unique(a) sort(all((a))), (a).resize(unique(all((a)))-(a).begin())
#define pc(x) putchar(x)
#define MP make_pair
#define MT make_tuple

using namespace std;

typedef long long i64;
typedef tuple<int,int,int> iii;
typedef pair<int,int> pii;
typedef pair<i64,i64> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;

const int N = 100005;
const int mod = 1000000007;

int add(int a, int b){ return ((a+=b)>=mod)?a-mod:a; }
void adding(int &a, int b){ a = add(a, b); }
int mul(int a, int b){ return a*1ll*b%mod; }

pii operator + (const pii& A, const pii& B){
    return pii(add(A.x,B.x), add(A.y,B.y));
}
pii operator - (const pii& A, const pii& B){
    return pii(add(A.x,mod-B.x), add(A.y,mod-B.y));
}
inline pii& operator += (pii& A, const pii& B){
    A = A+B;
    return A;
}
inline pii& operator -= (pii& A, const pii& B){
    A = A-B;
    return A;
}

vi g[N];
pii dp[N][2], final_dp[N][2], sum[N][2], lose[N][2];
int result[N], final_res[N];

void adjust(int u){
    if(result[u]) dp[u][1]+=pii(1,1);
    else{
        dp[u][1]+=pii(0,1);
        dp[u][0]+=pii(1,0);
    }
}

void dejust(int u){
    if(result[u]) dp[u][1]-=pii(1,1);
    else{
        dp[u][1]-=pii(0,1);
        dp[u][0]-=pii(1,0);
    }
}

void add_node(int u, int v){
    dejust(u);
    if(result[u]==0){
        if(!result[v]){
            dp[u][1] = sum[u][0]+sum[u][1]+dp[v][0];
            dp[u][0] = dp[v][1];
        }else{
            dp[u][1] += dp[v][0];
            dp[u][0] += dp[v][1];
        }
    }else if(result[u]==1){
        if(!result[v]){
            dp[u][0] -= lose[u][1];
            dp[u][1] += lose[u][1]+dp[v][0]+dp[v][1];
        }else{
            dp[u][1] += dp[v][0]+dp[v][1];
        }
    }else{
        dp[u][1] += dp[v][0]+dp[v][1];
    }

    if(!result[v]){
        FOR(i,0,1) lose[u][i]+=dp[v][i];
    }
    result[u] += !result[v];
    adjust(u);
    FOR(i,0,1) sum[u][i]+=dp[v][i];
}

void sub_node(int u, int v){
    dejust(u);
    if(result[u]==0){
        if(!result[v]){
            assert(0);
        }else{
            dp[u][1] -= dp[v][0];
            dp[u][0] -= dp[v][1];
        }
    }else if(result[u]==1){
        if(!result[v]){
            dp[u][0] = sum[u][1]-dp[v][1];
            dp[u][1] = sum[u][0]-dp[v][0];
        }else{
            dp[u][1] -= dp[v][0]+dp[v][1];
        }
    }else if(result[u]==2){
        if(!result[v]){
            dp[u][1] -= lose[u][0]+lose[u][1];
            dp[u][1] += lose[u][0]-dp[v][0];
            dp[u][0] += lose[u][1]-dp[v][1];
        }else{
            dp[u][1] -= dp[v][0]+dp[v][1];
        }
    }else{
        dp[u][1] -= dp[v][0]+dp[v][1];
    }

    if(!result[v]){
        FOR(i,0,1) lose[u][i]-=dp[v][i];
    }
    result[u] -= !result[v];
    adjust(u);
    FOR(i,0,1) sum[u][i]-=dp[v][i];
}

void dfs(int u, int p){
    for(int &e : g[u]){
        if(e == p){
            swap(e, g[u].back());
            g[u].pop_back();
            break;
        }
    }
    for(const int &e : g[u]){
        dfs(e, u);
    }
    adjust(u);
    for(const int &e : g[u]){
        add_node(u, e);
    }
}

void tour(int u){
    final_res[u] = !(!result[u]);
    FOR(i, 0, 1) final_dp[u][i]=dp[u][i];
    for(const int &e : g[u]){
        sub_node(u, e);
        add_node(e, u);
        tour(e);
        sub_node(e, u);
        add_node(u, e);
    }
}

vvi pw[60];

void solve(){
    int n;
    i64 d;
    cin >> n >> d;
    FOR(i, 2, n){
        int a, b;
        cin >> a >> b;
        g[a].eb(b);
        g[b].eb(a);
    }
    dfs(1, -1);
    tour(1);

    assert(dp[1][0]==final_dp[1][0]);
    assert(dp[1][1]==final_dp[1][1]);

    pw[0].resize(2,vi(2, 0));
    FOR(i, 1, n){
        FOR(j, 0, 1){
            adding(pw[0][j^1][0], final_dp[i][j].x);
            adding(pw[0][j^1][1], final_dp[i][j].y);
        }
    }
    FOR(t, 1, 59){
        pw[t].resize(2, vi(2, 0));
        FOR(i, 0, 1){
            FOR(j, 0, 1){
                FOR(k, 0, 1){
                    adding(pw[t][i][j], mul(pw[t-1][i][k],pw[t-1][k][j]));
                }
            }
        }
    }
    vi res(2,0);
    FOR(i, 1, n) res[1-final_res[i]]++;
    --d;
    FOR(t, 0, 59){
        if(d&(1ll<<t)){
            vi tmp(2,0);
            FOR(i, 0, 1){
                FOR(j, 0, 1){
                    adding(tmp[i], mul(res[j],pw[t][i][j]));
                }
            }
            res = tmp;
        }
    }
    pii p = dp[1][1];
    int ans = add(mul(p.x,res[0]),mul(p.y,res[1]));
    printf("%d",ans);
}

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

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2796 KB Output is correct
4 Correct 2 ms 2796 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2796 KB Output is correct
4 Correct 2 ms 2796 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2924 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 2 ms 2796 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2796 KB Output is correct
4 Correct 2 ms 2796 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2924 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 2 ms 2796 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct
12 Correct 149 ms 15084 KB Output is correct
13 Correct 150 ms 17792 KB Output is correct
14 Correct 102 ms 13160 KB Output is correct
15 Correct 126 ms 12908 KB Output is correct
16 Correct 115 ms 12908 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2796 KB Output is correct
4 Correct 2 ms 2796 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2924 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 2 ms 2796 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct
12 Correct 2 ms 2668 KB Output is correct
13 Correct 2 ms 2796 KB Output is correct
14 Correct 2 ms 2668 KB Output is correct
15 Correct 2 ms 2668 KB Output is correct
16 Correct 2 ms 2796 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 2 ms 2796 KB Output is correct
20 Correct 2 ms 2796 KB Output is correct
21 Correct 2 ms 2796 KB Output is correct
22 Correct 2 ms 2924 KB Output is correct
23 Correct 2 ms 2796 KB Output is correct
24 Correct 2 ms 2796 KB Output is correct
25 Correct 3 ms 2796 KB Output is correct
26 Correct 3 ms 2796 KB Output is correct
27 Correct 3 ms 2924 KB Output is correct
28 Correct 2 ms 2796 KB Output is correct
29 Correct 2 ms 2796 KB Output is correct
30 Correct 2 ms 2796 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2796 KB Output is correct
4 Correct 2 ms 2796 KB Output is correct
5 Correct 2 ms 2796 KB Output is correct
6 Correct 2 ms 2796 KB Output is correct
7 Correct 2 ms 2796 KB Output is correct
8 Correct 3 ms 2924 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 2 ms 2796 KB Output is correct
11 Correct 3 ms 2796 KB Output is correct
12 Correct 149 ms 15084 KB Output is correct
13 Correct 150 ms 17792 KB Output is correct
14 Correct 102 ms 13160 KB Output is correct
15 Correct 126 ms 12908 KB Output is correct
16 Correct 115 ms 12908 KB Output is correct
17 Correct 2 ms 2668 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 2 ms 2668 KB Output is correct
20 Correct 2 ms 2668 KB Output is correct
21 Correct 2 ms 2796 KB Output is correct
22 Correct 2 ms 2796 KB Output is correct
23 Correct 2 ms 2796 KB Output is correct
24 Correct 2 ms 2796 KB Output is correct
25 Correct 2 ms 2796 KB Output is correct
26 Correct 2 ms 2796 KB Output is correct
27 Correct 2 ms 2924 KB Output is correct
28 Correct 2 ms 2796 KB Output is correct
29 Correct 2 ms 2796 KB Output is correct
30 Correct 3 ms 2796 KB Output is correct
31 Correct 3 ms 2796 KB Output is correct
32 Correct 3 ms 2924 KB Output is correct
33 Correct 2 ms 2796 KB Output is correct
34 Correct 2 ms 2796 KB Output is correct
35 Correct 2 ms 2796 KB Output is correct
36 Correct 125 ms 15084 KB Output is correct
37 Correct 140 ms 17516 KB Output is correct
38 Correct 104 ms 13032 KB Output is correct
39 Correct 114 ms 12908 KB Output is correct
40 Correct 116 ms 13036 KB Output is correct
41 Correct 130 ms 16364 KB Output is correct
42 Correct 121 ms 16364 KB Output is correct
43 Correct 93 ms 11880 KB Output is correct
44 Correct 124 ms 12980 KB Output is correct
45 Correct 140 ms 12908 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2668 KB Output is correct
2 Correct 2 ms 2796 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2668 KB Output is correct
8 Correct 2 ms 2668 KB Output is correct
9 Correct 2 ms 2796 KB Output is correct
10 Correct 2 ms 2796 KB Output is correct
11 Correct 2 ms 2796 KB Output is correct
12 Correct 2 ms 2796 KB Output is correct
13 Correct 2 ms 2796 KB Output is correct
14 Correct 2 ms 2796 KB Output is correct
15 Correct 3 ms 2924 KB Output is correct
16 Correct 2 ms 2796 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 3 ms 2796 KB Output is correct
19 Correct 149 ms 15084 KB Output is correct
20 Correct 150 ms 17792 KB Output is correct
21 Correct 102 ms 13160 KB Output is correct
22 Correct 126 ms 12908 KB Output is correct
23 Correct 115 ms 12908 KB Output is correct
24 Correct 2 ms 2668 KB Output is correct
25 Correct 2 ms 2796 KB Output is correct
26 Correct 2 ms 2668 KB Output is correct
27 Correct 2 ms 2668 KB Output is correct
28 Correct 2 ms 2796 KB Output is correct
29 Correct 2 ms 2796 KB Output is correct
30 Correct 2 ms 2796 KB Output is correct
31 Correct 2 ms 2796 KB Output is correct
32 Correct 2 ms 2796 KB Output is correct
33 Correct 2 ms 2796 KB Output is correct
34 Correct 2 ms 2924 KB Output is correct
35 Correct 2 ms 2796 KB Output is correct
36 Correct 2 ms 2796 KB Output is correct
37 Correct 3 ms 2796 KB Output is correct
38 Correct 3 ms 2796 KB Output is correct
39 Correct 3 ms 2924 KB Output is correct
40 Correct 2 ms 2796 KB Output is correct
41 Correct 2 ms 2796 KB Output is correct
42 Correct 2 ms 2796 KB Output is correct
43 Correct 125 ms 15084 KB Output is correct
44 Correct 140 ms 17516 KB Output is correct
45 Correct 104 ms 13032 KB Output is correct
46 Correct 114 ms 12908 KB Output is correct
47 Correct 116 ms 13036 KB Output is correct
48 Correct 130 ms 16364 KB Output is correct
49 Correct 121 ms 16364 KB Output is correct
50 Correct 93 ms 11880 KB Output is correct
51 Correct 124 ms 12980 KB Output is correct
52 Correct 140 ms 12908 KB Output is correct
53 Correct 139 ms 18796 KB Output is correct
54 Correct 135 ms 17772 KB Output is correct
55 Correct 76 ms 11752 KB Output is correct
56 Correct 138 ms 16492 KB Output is correct
57 Correct 122 ms 14444 KB Output is correct
58 Correct 109 ms 14060 KB Output is correct
59 Correct 129 ms 14160 KB Output is correct
60 Correct 121 ms 14316 KB Output is correct