// start A.cpp // #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; using ll = long long; using ull = unsigned long long; template using pq = priority_queue; template using qp = priority_queue, greater>; #define vec(T, A, ...) vector A(__VA_ARGS__); #define vvec(T, A, h, ...) vector> A(h, vector(__VA_ARGS__)); #define vvvec(T, A, h1, h2, ...) vector>> A(h1, vector>(h2, vector(__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 stoc(string &S) { int n = S.size(); vector 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 A(n); \ inp(A); #define VVEC(T, A, n, m) \ vector> A(n, vector(m)); \ inp(A); const ll MOD1 = 1000000007; const ll MOD9 = 998244353; template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template auto clamp(T &a, const S &l, const S &r) { return (a > r ? r : a < l ? l : a); } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } template 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 void print(Head &&head, Tail &&... tail) { cout << head; if (sizeof...(Tail)) cout << spa; print(forward(tail)...); } template void print(vector &A) { int n = A.size(); for (int i = 0; i < n; i++) { cout << A[i]; if (i != n - 1) cout << ' '; } cout << endl; } template void print(vector> &A) { for (auto &row : A) print(row); } template void print(pair &A) { cout << A.first << spa << A.second << endl; } template void print(vector> &A) { for (auto &row : A) print(row); } template void prisep(vector &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 void priend(T A, S end) { cout << A << end; } template void priend(T A) { priend(A, spa); } template bool printif(bool f, T A, S B) { if (f) print(A); else print(B); return f; } template void inp(T &... a) { (cin >> ... >> a); } template void inp(vector &A) { for (auto &a : A) cin >> a; } template void inp(vector> &A) { for (auto &row : A) inp(row); } template void inp(pair &A) { inp(A.first, A.second); } template void inp(vector> &A) { for (auto &row : A) inp(row.first, row.second); } template T sum(vector &A) { T tot = 0; for (auto a : A) tot += a; return tot; } template vector compression(vector X) { sort(all(X)); X.erase(unique(all(X)), X.end()); return X; } vector> read_edges(int n, int m, bool direct = false, int indexed = 1) { vector> edges(n, vector()); 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> read_tree(int n, int indexed = 1) { return read_edges(n, n - 1, false, indexed); } template vector>> read_wedges(int n, int m, bool direct = false, int indexed = 1) { vector>> edges(n, vector>()); 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 vector>> read_wtree(int n, int indexed = 1) { return read_wedges(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 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 void butterfly(vector &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(g, (MOD - 1) >> cnt2, MOD); T ie = modpow(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 void butterfly_inv(vector &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(g, (MOD - 1) >> cnt2, MOD); T ie = modpow(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 vector convolution(vector a, vector b) { int n = a.size(); int m = b.size(); if (min(n, m) <= 60) { if (n < m) { swap(n, m); swap(a, b); } vector 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(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 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