結果
| 問題 |
No.2330 Eat Slime
|
| コンテスト | |
| ユーザー |
 rin204
|
| 提出日時 | 2023-06-11 18:51:26 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 462 ms / 4,000 ms |
| コード長 | 13,340 bytes |
| コンパイル時間 | 3,697 ms |
| コンパイル使用メモリ | 290,928 KB |
| 実行使用メモリ | 27,092 KB |
| 最終ジャッジ日時 | 2025-01-03 04:05:55 |
| 合計ジャッジ時間 | 15,771 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 30 |
ソースコード
// start A.cpp
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
#define INT(...) \
int __VA_ARGS__; \
inp(__VA_ARGS__);
#define LL(...) \
ll __VA_ARGS__; \
inp(__VA_ARGS__);
#define STRING(...) \
string __VA_ARGS__; \
inp(__VA_ARGS__);
#define CHAR(...) \
char __VA_ARGS__; \
inp(__VA_ARGS__);
#define VEC(T, A, n) \
vector<T> A(n); \
inp(A);
#define VVEC(T, A, n, m) \
vector<vector<T>> A(n, vector<T>(m)); \
inp(A);
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(forward<Tail>(tail)...);
}
template <typename T>
void print(vector<T> &A) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << ' ';
}
cout << endl;
}
template <typename T>
void print(vector<vector<T>> &A) {
for (auto &row : A) print(row);
}
template <typename T, typename S>
void print(pair<T, S> &A) {
cout << A.first << spa << A.second << endl;
}
template <typename T, typename S>
void print(vector<pair<T, S>> &A) {
for (auto &row : A) print(row);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void priend(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &... a) {
(cin >> ... >> a);
}
template <typename T>
void inp(vector<T> &A) {
for (auto &a : A) cin >> a;
}
template <typename T>
void inp(vector<vector<T>> &A) {
for (auto &row : A) inp(row);
}
template <typename T, typename S>
void inp(pair<T, S> &A) {
inp(A.first, A.second);
}
template <typename T, typename S>
void inp(vector<pair<T, S>> &A) {
for (auto &row : A) inp(row.first, row.second);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// start convolution/convolution.hpp
// start math/modpow.hpp
template <typename T>
T modpow(T a, long long b, T MOD) {
T ret = 1;
while (b > 0) {
if (b & 1) {
ret *= a;
ret %= MOD;
}
a *= a;
a %= MOD;
b >>= 1;
}
return ret;
}
// end math/modpow.hpp
// restart convolution/convolution.hpp
namespace FFT {
using ll = long long;
const ll MOD = 998244353;
const int g = 3;
template <typename T>
void butterfly(vector<T> &a) {
int n = a.size();
int h = 0;
while ((1 << h) < n) h++;
static bool first = true;
static T sum_e[30];
if (first) {
first = false;
T es[30], ies[30];
int cnt2 = __builtin_ctz(MOD - 1);
T e = modpow<T>(g, (MOD - 1) >> cnt2, MOD);
T ie = modpow<T>(e, MOD - 2, MOD);
for (int i = cnt2; i >= 2; i--) {
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
e %= MOD;
ie *= ie;
ie %= MOD;
}
T now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now % MOD;
now *= ies[i];
now %= MOD;
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1);
int p = 1 << (h - ph);
T now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now % MOD;
a[i + offset] = (l + r) % MOD;
a[i + offset + p] = (l - r) % MOD;
}
now *= sum_e[__builtin_ctz(~(unsigned int)(s))];
now %= MOD;
}
}
}
template <typename T>
void butterfly_inv(vector<T> &a) {
int n = a.size();
int h = 1;
while ((1 << h) < n) h++;
static bool first = true;
static T sum_ie[30];
if (first) {
first = false;
T es[30], ies[30];
int cnt2 = __builtin_ctz(MOD - 1);
T e = modpow<T>(g, (MOD - 1) >> cnt2, MOD);
T ie = modpow<T>(e, MOD - 2, MOD);
for (int i = cnt2; i >= 2; i--) {
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
e %= MOD;
ie *= ie;
ie %= MOD;
}
T now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now % MOD;
now *= es[i];
now %= MOD;
}
}
for (int ph = h; ph > 0; ph--) {
int w = 1 << (ph - 1);
int p = 1 << (h - ph);
T inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = (l + r) % MOD;
a[i + offset + p] = (l - r) * inow % MOD;
}
inow *= sum_ie[__builtin_ctz(~(unsigned int)(s))];
inow %= MOD;
}
}
}
template <typename T>
vector<T> convolution(vector<T> a, vector<T> b) {
int n = a.size();
int m = b.size();
if (min(n, m) <= 60) {
if (n < m) {
swap(n, m);
swap(a, b);
}
vector<T> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
ans[i + j] %= MOD;
}
}
for (int i = 0; i < n + m - 1; i++) {
if (ans[i] < 0) ans[i] += MOD;
}
return ans;
}
int z = 1;
while (z < n + m - 1) z *= 2;
a.resize(z);
butterfly(a);
b.resize(z);
butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
a[i] %= MOD;
}
butterfly_inv(a);
a.resize(n + m - 1);
T iz = modpow<T>(z, MOD - 2, MOD);
for (int i = 0; i < n + m - 1; i++) {
a[i] *= iz;
a[i] = (a[i] % MOD + MOD) % MOD;
}
return a;
}
}; // namespace FFT
// end convolution/convolution.hpp
// restart A.cpp
void solve() {
LL(n, m, X);
VEC(ll, C, n);
fori(i, n) C[i]--;
vvec(ll, score, 5, n, 0);
fori(m) {
LL(a, b, y);
score[b - 1][a - 1] += y;
}
vector<ll> ans(n + 1);
fori(i, n + 1) ans[i] = i * X;
fori(i, 5) {
vec(ll, Y, n, 0);
fori(j, n) {
if (C[j] == i) Y[j] = 1;
}
reverse(all(Y));
auto res = FFT::convolution(Y, score[i]);
fori(i, n - 1, -1, -1) {
ans[n - 1 - i] += res[i];
}
}
print(max(ans));
}
int main() {
cin.tie(0)->sync_with_stdio(0);
// cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
// end A.cpp