結果

問題 No.2360 Path to Integer
ユーザー au7777
提出日時 2023-07-06 00:38:16
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 160 ms / 2,500 ms
コード長 5,263 bytes
コンパイル時間 3,763 ms
コンパイル使用メモリ 247,132 KB
実行使用メモリ 32,436 KB
最終ジャッジ日時 2024-07-19 18:53:41
合計ジャッジ時間 5,771 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
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 * 2
other AC * 15
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function 'void dfs2(int, int, std::vector<std::__cxx11::basic_string<char> >&, std::vector<std::vector<int> >&, std::vector<std::vector<atcoder::static_modint<998244353> > >&, mint)':
main.cpp:121:23: warning: 'parIdx' may be used uninitialized [-Wmaybe-uninitialized]
  121 |         dp[cur][parIdx] = 1 + psum;
      |                       ^
main.cpp:113:13: note: 'parIdx' was declared here
  113 |         int parIdx;
      |             ^~~~~~
main.cpp: In function 'int dfs3(int, int, std::vector<std::vector<int> >&, std::vector<std::vector<int> >&)':
main.cpp:153:24: warning: 'parIdx' may be used uninitialized [-Wmaybe-uninitialized]
  153 |         num[cur][parIdx] = edge.size() - ret;
      |                        ^
main.cpp:141:9: note: 'parIdx' was declared here
  141 |     int parIdx;
      |         ^~~~~~

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <atcoder/all>
typedef long long int ll;
using namespace std;
typedef pair<ll, ll> P;
using namespace atcoder;
template<typename T> using min_priority_queue = priority_queue<T, vector<T>, greater<T>>;
#define USE998244353
#ifdef USE998244353
const ll MOD = 998244353;
// const double PI = 3.141592653589;
using mint = modint998244353;
#else
const ll MOD = 1000000007;
using mint = modint1000000007;
#endif
const int MAX = 20000001;
long long fac[MAX], finv[MAX], inv[MAX];
void COMinit() {
fac[0] = fac[1] = 1;
finv[0] = finv[1] = 1;
inv[1] = 1;
for (int i = 2; i < MAX; i++){
fac[i] = fac[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD;
finv[i] = finv[i - 1] * inv[i] % MOD;
}
}
long long COM(int n, int k){
if (n < k) return 0;
if (n < 0 || k < 0) return 0;
return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}
ll gcd(ll x, ll y) {
if (y == 0) return x;
else if (y > x) {
return gcd (y, x);
}
else return gcd(x % y, y);
}
ll lcm(ll x, ll y) {
return x / gcd(x, y) * y;
}
ll my_sqrt(ll x) {
//
ll m = 0;
ll M = 3000000001;
while (M - m > 1) {
ll now = (M + m) / 2;
if (now * now <= x) {
m = now;
}
else {
M = now;
}
}
return m;
}
ll keta(ll num, ll arity) {
ll ret = 0;
while (num) {
num /= arity;
ret++;
}
return ret;
}
ll ceil(ll n, ll m) {
// n > 0, m > 0
ll ret = n / m;
if (n % m) ret++;
return ret;
}
ll pow_ll(ll x, ll n) {
if (n == 0) return 1;
if (n % 2) {
return pow_ll(x, n - 1) * x;
}
else {
ll tmp = pow_ll(x, n / 2);
return tmp * tmp;
}
}
vector<ll> compress(vector<ll>& v) {
// [3 5 5 6 1 1 10 1] -> [1 2 2 3 0 0 4 0]
vector<ll> u = v;
sort(u.begin(), u.end());
u.erase(unique(u.begin(),u.end()),u.end());
map<ll, ll> mp;
for (int i = 0; i < u.size(); i++) {
mp[u[i]] = i;
}
for (int i = 0; i < v.size(); i++) {
v[i] = mp[v[i]];
}
return v;
}
mint dfs1(int cur, int par, vector<string>& a, vector<vector<int>>& edge, vector<vector<mint>>& dp) {
mint ret = 1;
for (int i = 0; i < edge[cur].size(); i++) {
int nex = edge[cur][i];
if (nex == par) continue;
mint tmp = dfs1(nex, cur, a, edge, dp);
dp[cur][i] = tmp;
ret += tmp;
}
ret *= pow_mod(10, a[cur].size(), MOD);
return ret;
}
void dfs2(int cur, int par, vector<string>& a, vector<vector<int>>& edge, vector<vector<mint>>& dp, mint psum) {
if (par != -1) {
int parIdx;
for (int i = 0; i < edge[cur].size(); i++) {
int nex = edge[cur][i];
if (nex == par) {
parIdx = i;
break;
}
}
dp[cur][parIdx] = 1 + psum;
dp[cur][parIdx] *= pow_mod(10, a[par].size(), MOD);
}
mint sm = 0;
for (int i = 0; i < edge[cur].size(); i++) {
sm += dp[cur][i];
}
for (int i = 0; i < edge[cur].size(); i++) {
int nex = edge[cur][i];
if (nex == par) {
continue;
}
dfs2(nex, cur, a, edge, dp, sm - dp[cur][i]);
}
}
int dfs3(int cur, int par, vector<vector<int>>& edge, vector<vector<int>>& num) {
int ret = 1;
int parIdx;
for (int i = 0; i < edge[cur].size(); i++) {
int nex = edge[cur][i];
if (nex == par) {
parIdx = i;
continue;
}
int tmp = dfs3(nex, cur, edge, num);
num[cur][i] = tmp;
ret += tmp;
}
if (par != -1) {
num[cur][parIdx] = edge.size() - ret;
}
return ret;
}
int main() {
int n;
cin >> n;
vector<string> a(n);
for (int i = 0; i < n; i++) cin >> a[i];
vector<vector<int>> edge(n);
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
u--;
v--;
edge[u].push_back(v);
edge[v].push_back(u);
}
vector<vector<mint>> dp(n);
for (int i = 0; i < n; i++) {
dp[i].resize(edge[i].size());
}
dfs1(0, -1, a, edge, dp);
dfs2(0, -1, a, edge, dp, 0);
vector<vector<int>> num(n);
for (int i = 0; i < n; i++) {
num[i].resize(edge[i].size());
}
dfs3(0, -1, edge, num);
// dp[cur][i] ... curi使
// num[cur][i]... curi使
// for (int i = 0; i < n; i++) {
// for (int j = 0; j < edge[i].size(); j++) {
// cout << i + 1 << ' ' << edge[i][j] + 1 << ' ' << num[i][j] << '\n';
// }
// }
// mint
mint ans = 0;
for (int i = 0; i < n; i++) {
mint nu = 0;
for (auto c : a[i]) {
nu *= 10;
nu += (c - '0');
}
for (int j = 0; j < edge[i].size(); j++) {
// cerr << i + 1 << ' ' << edge[i][j] + 1 << ' ' << dp[i][j].val() << ' ' << num[i][j] << '\n';
ans += (dp[i][j]) * nu * (n - num[i][j]);
}
ans += n * nu;
}
cout << ans.val() << '\n';
return 0;
}
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