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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#689902 | #7895. Graph Partitioning 2 | AlphaZe | WA | 159ms | 10232kb | C++20 | 3.0kb | 2024-10-30 19:08:48 | 2024-10-30 19:08:48 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
inline int read() {
int x = 0, f = 0; char ch = getchar();
while (!isdigit(ch)) f = ch == '-', ch = getchar();
while (isdigit(ch)) x = (x << 3) + (x << 1) + (ch ^ 48), ch = getchar();
return f ? -x : x;
}
const int N = 1e5 + 10, mod = 998244353;
void AddMod(int &p, int k) { p = (p + k) % mod; }
int n, K, M = 340;
int f[N][345], siz[N], tmp[345];
vector<int> g[N];
void dfs1(int x, int father) {
siz[x] = 1;
f[x][1] = 1;
for (auto y : g[x]) {
if (y == father) continue;
dfs1(y, x);
for (int i = 1; i <= K + 1; ++i) tmp[i] = 0;
for (int i = 1; i <= min(siz[x], K + 1); ++i) {
for (int j = 1; j <= min(siz[y], K + 1) && i + j <= K + 1; ++j) {
AddMod(tmp[i + j], 1ll * f[x][i] * f[y][j] % mod);
}
}
for (int i = 1; i <= min(siz[x], K + 1); ++i) {
AddMod(tmp[i], 1ll * f[x][i] * f[y][K] % mod);
AddMod(tmp[i], 1ll * f[x][i] * f[y][K + 1] % mod);
}
for (int i = 1; i <= K + 1; ++i) f[x][i] = tmp[i],
siz[x] += siz[y];
}
}
void dfs2(int x, int father) {
siz[x] = 1;
f[x][0] = 1;
for (auto y : g[x]) {
if (y == father) continue;
dfs2(y, x);
for (int i = 0; i <= n / K; ++i) tmp[i] = 0;
for (int i = 0; i <= siz[x] / K; ++i) {
for (int j = 0; j <= siz[y] / K; ++j) {
int lax = (siz[x] - i * K) % (K + 1);
int lay = (siz[y] - j * K) % (K + 1);
if (lax + lay <= K + 1) {
AddMod(tmp[i + j], 1ll * f[x][i] * f[y][j] % mod);
}
if (lay == K) {
AddMod(tmp[i + j + 1], 1ll * f[x][i] * f[y][j] % mod);
}
}
}
// printf("x = %d, y = %d; \n", x, y);
for (int i = 0; i <= n / K; ++i) {
f[x][i] = tmp[i];
// printf("f[%d][%d] = %d; \n", x, i, f[x][i]);
}
siz[x] += siz[y];
}
}
void solve1() {
dfs1(1, 0);
int ans = (f[1][K] + f[1][K + 1]) % mod;
printf("%lld\n", ans);
for (int i = 1; i <= n; ++i) {
for (int k = 0; k <= K + 1; ++k) {
f[i][k] = 0;
}
}
}
void solve2() {
dfs2(1, 0);
int ans = 0;
for (int i = 0; i <= siz[1] / K; ++i) {
int la = (siz[1] - i * K) % (K + 1);
if ((!la) || la == K) AddMod(ans, f[1][i]);
for (int j = 1; j <= n; ++j) f[j][i] = 0;
}
printf("%lld\n", ans);
}
void work() {
n = read(); K = read();
for (int i = 1; i < n; ++i) {
int u = read(), v = read();
g[u].push_back(v); g[v].push_back(u);
}
if (K <= M) solve1();
else
solve2();
for (int i = 1; i <= n; ++i) g[i].clear();
}
signed main() {
int Tt = read();
while (Tt--) work();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5812kb
input:
2 8 2 1 2 3 1 4 6 3 5 2 4 8 5 5 7 4 3 1 2 1 3 2 4
output:
2 1
result:
ok 2 lines
Test #2:
score: -100
Wrong Answer
time: 159ms
memory: 10232kb
input:
5550 13 4 10 3 9 1 10 8 3 11 8 5 10 7 9 6 13 5 9 7 2 7 5 12 4 8 8 2 4 1 3 4 7 8 2 5 6 7 4 8 2 3 11 1 11 10 1 4 9 10 8 4 3 6 5 7 6 1 10 2 11 7 11 1 17 2 14 16 13 15 17 3 15 11 1 6 13 2 13 17 4 8 14 10 8 14 14 5 9 12 14 2 12 17 17 6 15 7 14 6 2 14 2 13 2 4 8 4 3 11 7 3 14 1 11 9 13 3 5 10 6 8 3 10 14 ...
output:
0 3 112 0 1 0 1 0 0 0 1 0 1 0 0 1 0 140 0 0 0 814 1 6 1 1 2 2 0 612 0 1 0 0 0 1 1 0 0 121 4536 0 0 1718 0 0 1 0 444 1 1908 1813 3 74 0 1 0 46 0 0 0 0 0 0 0 0 0 1 0 1 1 1 239 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 48 0 2 0 0 0 1 364 0 206 0 0 76 0 1 0 0 2 0 1 2 0 0 1 0 0 4 0 1 1 0 0 1 1 1 0 0 1 1 ...
result:
wrong answer 5097th lines differ - expected: '1', found: '0'