oj.uz

Submission #1107708

# Submission time Handle Problem Language Result Execution time Memory
1107708 2024-11-02T03:04:28 Z Whisper Šarenlist (COCI22_sarenlist) C++17
110 / 110
 13 ms 504 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX_NODE                    75
#define MAX_REQ                     16

int numNode, numEdge, numColor;
vector<pair<int, int>> G[MAX_NODE];

int u[MAX_REQ], v[MAX_REQ];
void add(int &x, int y){
    x += y;
    if(x >= Mod) x %= Mod;
    while(x < 0) x += Mod;
}

int mul(int a, int b){
    return 1LL * a * b % Mod;
}
int pa[MAX_NODE], comp, sz[MAX_NODE];
void Init(void){
    comp = numNode - 1;
    for (int i = 1; i < numNode; ++i){
        pa[i] = i;
        sz[i] = 1;
    }
}

int find(int u){
    return (u == pa[u] ? u : pa[u] = find(pa[u]));
}
bool joint (int u, int v){
    u = find(u), v = find(v);
    if(u == v) return false;
    --comp;
    if(sz[u] < sz[v]) swap(u, v);
    sz[u] += sz[v];
    pa[v] = u;
    return true;
}

int edge_ID[MAX_NODE];
int depth[MAX_NODE], up[MAX_NODE];

void dfs(int u, int p = -1){
    for(pair<int, int>&x : G[u]) {
        int v = x.first, id = x.second;
        if(v ^ p){
            depth[v] = depth[u] + 1;
            up[v] = u;
            edge_ID[v] = id;
            dfs(v, u);
        }
    }
}


void addEdge(int u, int v){
    if(depth[u] < depth[v]) swap(u, v);
    while(depth[u] > depth[v]){
        if(up[u] != v){
            int ID_u = edge_ID[u];
            int ID_v = edge_ID[up[u]];
            joint(ID_u, ID_v);
        }
        u = up[u];
    }

    while(u != v){
        if(up[u] != up[v]){
            int ID_u = edge_ID[u];
            int ID_v = edge_ID[up[u]];
            joint(ID_u, ID_v);

                ID_u = edge_ID[v];
                ID_v = edge_ID[up[v]];
            joint(ID_u, ID_v);
        }
        else{
            joint(edge_ID[u], edge_ID[v]);
        }
        u = up[u], v = up[v];
    }
}


void process(void){
    cin >> numNode >> numEdge >> numColor;

    for (int i = 1; i < numNode; ++i){
        int u, v; cin >> u >> v;
        G[u].emplace_back(v, i);
        G[v].emplace_back(u, i);
    }
    dfs(1);
    for (int i = 0; i < numEdge; ++i){
        cin >> u[i] >> v[i];
    }
    Init();
    int ans = 0;
    for (int mask = 0; mask < MASK(numEdge); ++mask){
        Init();
        for (int i = 0; i < numEdge; ++i) if(BIT(mask, i)){
            addEdge(u[i], v[i]);
        }
        int sign = (__builtin_popcount(mask) & 1 ? -1 : 1);
        int pw = 1;
        for (int i = 1; i <= comp; ++i){
            pw = mul(pw, numColor);
        }
        add(ans, sign * pw);
    }
    cout  << ans;
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 0 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 448 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct

Subtask #5
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 0 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 448 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 0 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 2 ms 504 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 504 KB Output is correct
21 Correct 1 ms 504 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 504 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 7 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 0 ms 336 KB Output is correct
30 Correct 7 ms 472 KB Output is correct
31 Correct 2 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 2 ms 504 KB Output is correct
35 Correct 4 ms 336 KB Output is correct
36 Correct 13 ms 472 KB Output is correct
37 Correct 6 ms 336 KB Output is correct