結果

問題 No.1207 グラフX
ユーザー 👑 emthrmemthrm
提出日時 2020-08-30 13:26:11
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 368 ms / 2,000 ms
コード長 5,574 bytes
コンパイル時間 2,879 ms
コンパイル使用メモリ 203,336 KB
最終ジャッジ日時 2025-01-13 21:10:03
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 46
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3fLL;
const double EPS = 1e-8;
const int MOD = 1000000007;
// const int MOD = 998244353;
const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
const int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
IOSetup() {
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
cout << fixed << setprecision(20);
}
} iosetup;
int mod = MOD;
struct ModInt {
unsigned val;
ModInt(): val(0) {}
ModInt(ll x) : val(x >= 0 ? x % mod : x % mod + mod) {}
ModInt pow(ll exponent) const {
ModInt tmp = *this, res = 1;
while (exponent > 0) {
if (exponent & 1) res *= tmp;
tmp *= tmp;
exponent >>= 1;
}
return res;
}
ModInt &operator+=(const ModInt &x) { if((val += x.val) >= mod) val -= mod; return *this; }
ModInt &operator-=(const ModInt &x) { if((val += mod - x.val) >= mod) val -= mod; return *this; }
ModInt &operator*=(const ModInt &x) { val = static_cast<unsigned long long>(val) * x.val % mod; return *this; }
ModInt &operator/=(const ModInt &x) {
// assert(__gcd(static_cast<int>(x.val), mod) == 1);
unsigned a = x.val, b = mod; int u = 1, v = 0;
while (b) {
unsigned tmp = a / b;
swap(a -= tmp * b, b);
swap(u -= tmp * v, v);
}
return *this *= u;
}
bool operator==(const ModInt &x) const { return val == x.val; }
bool operator!=(const ModInt &x) const { return val != x.val; }
bool operator<(const ModInt &x) const { return val < x.val; }
bool operator<=(const ModInt &x) const { return val <= x.val; }
bool operator>(const ModInt &x) const { return val > x.val; }
bool operator>=(const ModInt &x) const { return val >= x.val; }
ModInt &operator++() { if (++val == mod) val = 0; return *this; }
ModInt operator++(int) { ModInt res = *this; ++*this; return res; }
ModInt &operator--() { val = (val == 0 ? mod : val) - 1; return *this; }
ModInt operator--(int) { ModInt res = *this; --*this; return res; }
ModInt operator+() const { return *this; }
ModInt operator-() const { return ModInt(val ? mod - val : 0); }
ModInt operator+(const ModInt &x) const { return ModInt(*this) += x; }
ModInt operator-(const ModInt &x) const { return ModInt(*this) -= x; }
ModInt operator*(const ModInt &x) const { return ModInt(*this) *= x; }
ModInt operator/(const ModInt &x) const { return ModInt(*this) /= x; }
friend ostream &operator<<(ostream &os, const ModInt &x) { return os << x.val; }
friend istream &operator>>(istream &is, ModInt &x) { ll val; is >> val; x = ModInt(val); return is; }
};
ModInt abs(const ModInt &x) { return x; }
struct Combinatorics {
int val; // "val!" and "mod" must be disjoint.
vector<ModInt> fact, fact_inv, inv;
Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) {
fact[0] = 1;
FOR(i, 1, val + 1) fact[i] = fact[i - 1] * i;
fact_inv[val] = ModInt(1) / fact[val];
for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i;
FOR(i, 1, val + 1) inv[i] = fact[i - 1] * fact_inv[i];
}
ModInt nCk(int n, int k) const {
if (n < 0 || n < k || k < 0) return ModInt(0);
// assert(n <= val && k <= val);
return fact[n] * fact_inv[k] * fact_inv[n - k];
}
ModInt nPk(int n, int k) const {
if (n < 0 || n < k || k < 0) return ModInt(0);
// assert(n <= val);
return fact[n] * fact_inv[n - k];
}
ModInt nHk(int n, int k) const {
if (n < 0 || k < 0) return ModInt(0);
return k == 0 ? ModInt(1) : nCk(n + k - 1, k);
}
};
struct UnionFind {
UnionFind(int n) : data(n, -1) {}
int root(int ver) { return data[ver] < 0 ? ver : data[ver] = root(data[ver]); }
bool unite(int u, int v) {
u = root(u);
v = root(v);
if (u == v) return false;
if (data[u] > data[v]) swap(u, v);
data[u] += data[v];
data[v] = u;
return true;
}
bool same(int u, int v) { return root(u) == root(v); }
int size(int ver) { return -data[root(ver)]; }
private:
vector<int> data;
};
using CostType = int;
struct Edge {
int src, dst; CostType cost;
Edge(int src, int dst, CostType cost = 0) : src(src), dst(dst), cost(cost) {}
inline bool operator<(const Edge &x) const {
return cost != x.cost ? cost < x.cost : dst != x.dst ? dst < x.dst : src < x.src;
}
inline bool operator<=(const Edge &x) const { return !(x < *this); }
inline bool operator>(const Edge &x) const { return x < *this; }
inline bool operator>=(const Edge &x) const { return !(*this < x); }
};
int main() {
int n, m, x; cin >> n >> m >> x;
UnionFind uf(n);
vector<vector<Edge>> graph(n);
while (m--) {
int x, y, z; cin >> x >> y >> z; --x; --y;
if (uf.unite(x, y)) {
graph[x].emplace_back(x, y, z);
graph[y].emplace_back(y, x, z);
}
}
ModInt ans = 0;
function<int(int, int)> dfs = [&](int par, int ver) {
int sub = 1;
for (const Edge &e : graph[ver]) {
if (e.dst == par) continue;
int d = dfs(ver, e.dst);
ans += ModInt(x).pow(e.cost) * d * (n - d);
sub += d;
}
return sub;
};
dfs(-1, 0);
cout << ans << '\n';
return 0;
}
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