# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
931800 | LucaIlie | Star Trek (CEOI20_startrek) | C++17 | 1 ms | 4700 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int MAX_N = 1e5;
const int MAX_D = 1e5;
const int MOD = 1e9 + 7;
bool canWin[MAX_N + 1];
int countChildrenLosers[MAX_N + 1], add[MAX_N + 1], reach[MAX_N + 1], dp[MAX_D][3];
vector<int> adj[MAX_N + 1];
void dfsGame( int u, int p ) {
canWin[u] = false;
countChildrenLosers[u] = 0;
for ( int v: adj[u] ) {
if ( v == p )
continue;
dfsGame( v, u );
canWin[u] |= (!canWin[v]);
countChildrenLosers[u] += (!canWin[v]);
}
}
void dfsCalcAdd( int u, int p ) {
if ( p == 0 ) {
add[u] = (canWin[u] ? -1 : 1);
reach[u] = u;
} else {
if ( canWin[u] ) {
if ( canWin[p] ) {
add[u] = -1;
reach[u] = u;
} else {
add[u] = add[p] - 1;
reach[u] = reach[p];
}
} else {
if ( countChildrenLosers[p] >= 2 ) {
add[u] = 1;
reach[u] = u;
} else {
add[u] = add[p] + 1;
reach[u] = reach[p];
}
}
}
for ( int v: adj[u] ) {
if ( v == p )
continue;
dfsCalcAdd( v, u );
}
}
int lgPut( int x, int n ) {
if ( n == 0 )
return 1;
int p = lgPut( x, n / 2 );
p = (long long)p * p % MOD;
if ( n % 2 == 1 )
p = (long long)p * x % MOD;
return p;
}
signed main() {
int n, d;
cin >> n >> d;
for ( int i = 0; i < n - 1; i++ ) {
int u, v;
cin >> u >> v;
adj[u].push_back( v );
adj[v].push_back( u );
}
cout << lgPut( 4, d ) << "\n";
return 0;
int pom = 0;
int winners = 0;
for ( int v = 1; v <= n; v++ ) {
dfsGame( v, 0 );
winners += canWin[v];
int w = 0;
for ( int u = 1; u <= n; u++ )
w += canWin[u];
if (pom == 0)
pom = w;
if ( pom != w )
exit( 1 );
}
dfsGame( 1, 0 );
dfsCalcAdd( 1, 0 );
int countAdd1 = 0;
for ( int v = 1; v <= n; v++ )
countAdd1 += (add[v] == 1);
dp[0][0] = 1;
for ( int i = 1; i < d; i++ ) {
for ( int a = 0; a < 2; a++ ) {
int add1 = countAdd1 * (n - (winners + a)) % MOD;
int add0 = (n * n - add1) % MOD;
dp[i][0] = (dp[i][0] + dp[i - 1][a] * add0) % MOD;
dp[i][1] = (dp[i][1] + dp[i - 1][a] * add1) % MOD;
}
printf( "%d %d\n", dp[i][0], dp[i][1] );
}
int ans = 0;
for ( int a = 0; a < 2; a++ ) {
for ( int v = 1; v <= n; v++ ) {
if ( canWin[1] ) {
if ( canWin[v] )
ans = (ans + n * dp[d - 1][a]) % MOD;
else {
ans = (ans + (winners + a) * dp[d - 1][a]) % MOD;
if ( reach[v] != 1 )
ans = (ans + (n - winners - a) * dp[d - 1][a]) % MOD;
}
} else {
if ( !canWin[v] ) {
if ( reach[v] == 1 )
ans = (ans + (n - winners - a) * dp[d - 1][a]) % MOD;
}
}
}
}
cout << ans << "\n";
return 0;
}
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