Submission #427895

#TimeUsernameProblemLanguageResultExecution timeMemory
427895Kevin_Zhang_TWLong Distance Coach (JOI17_coach)C++17
71 / 100
2073 ms51844 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l)==r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
// My bug list :
// integer overflow
// 0based, 1based forgotten
// index out of bound
// n, m, i, j typo
// some cases are missing

const int MAX_N = 200010, MAX_K = 18;
const ll inf = 2e18;

ll X, n, m, W, T;
ll s[MAX_N];

ll dp[MAX_N], sp[MAX_N], pfc[MAX_N];

pair<ll,ll> man[MAX_N];

int nxt[MAX_K][MAX_N];
ll jsum[MAX_K][MAX_N];

void init_cost() {
	{
		ll sum = 0;
		for (int i = 0;i < m;++i) {
			pfc[i] = sum += man[i].second;
		}
	}
	debug(sp, sp+m);
	vector<int> stk {0};
	sp[0] = 0;
	for (int i = 0;i < m;++i) {
		while (stk.size()) {
			int id = stk.back();
			if (sp[i] >= sp[id]) break;
			stk.pop_back();
		}
		nxt[0][i] = stk.back();
		jsum[0][i] = W * (i-stk.back()) * sp[i];
		stk.pb(i);
		DE(i, nxt[0][i], jsum[0][i]);

	}
	for (int d = 1;d < MAX_K;++d) {
		for (int i = 0;i < m;++i) {
			nxt[d][i] = nxt[d-1][ nxt[d-1][i] ];
			jsum[d][i] = jsum[d-1][i] + jsum[d-1][ nxt[d-1][i] ];
		}
	}
}
ll cost(int l, int r) {
	if (l > r) return 0;
	ll req = X / T + 10;
	ll ret = pfc[r] - (l?pfc[l-1]:0);

//	DE(l, r);
//
//	ll B = 0;
//	for (int i = r;i >= l;--i) {
//		chmin(req, sp[i]);
//		//DE(i, req);
//		B += W * req;
//	}

	//ll A = 0;
	for (int d = MAX_K-1;d >= 0;--d) {
		if (nxt[d][r] < l) continue;
		ret += jsum[d][r];
		r = nxt[d][r];
	}
	assert(r >= l);
	assert(nxt[0][r] < l);
	ret += sp[r] * (r-l+1) * W;

	return ret;
//	DE(l, r, sp[r], nxt[0][r]);
//
//	DE(A, B);
//	return B + ret;
}
// N refill points, and M people
// remember the driver need water too
void solve() {
	fill(dp, dp + m, inf);
	fill(sp, sp + m, X / T + 10);
	sort(s, s + n);
	sort(man, man + m);

	for (int i = 0;i < n;++i) {
		ll spt = s[i] / T;
		int p = lower_bound(man, man + m, make_pair(s[i] % T, 0ll)) - man;
		chmin(sp[p-1], spt);
	}

	init_cost();

	for (int i = 0;i < m;++i) {
		auto [d, c] = man[i];
		ll sum = (X / T + (X % T > d)) * W;
		for (int j = 0;j < i;++j) {
			chmin(dp[i], sum + cost(j+1, i-1) + dp[j]);
		}
		if (i == 0)
			dp[i] = sum;
	}
}

int32_t main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> X >> n >> m >> W >> T;

	DE(X, n, m, W, T);
	for (int i = 0;i < n;++i)
		cin >> s[i];
	s[n++] = X;

	for (int i = 0;i < m;++i) {
		auto &[d, c] = man[i];
		cin >> d >> c;
	}
	man[m++] = make_pair(0, inf);
	
	solve();

	ll res = inf;
	for (int i = 0;i < m;++i) {
		chmin(res, dp[i] + cost(i+1, m-1));
	}

	cout << res << '\n';
}

Compilation message (stderr)

coach.cpp: In function 'void init_cost()':
coach.cpp:15:20: warning: statement has no effect [-Wunused-value]
   15 | #define debug(...) 0
      |                    ^
coach.cpp:44:2: note: in expansion of macro 'debug'
   44 |  debug(sp, sp+m);
      |  ^~~~~
coach.cpp:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
coach.cpp:56:3: note: in expansion of macro 'DE'
   56 |   DE(i, nxt[0][i], jsum[0][i]);
      |   ^~
coach.cpp: In function 'll cost(int, int)':
coach.cpp:68:5: warning: unused variable 'req' [-Wunused-variable]
   68 |  ll req = X / T + 10;
      |     ^~~
coach.cpp: In function 'int32_t main()':
coach.cpp:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
coach.cpp:127:2: note: in expansion of macro 'DE'
  127 |  DE(X, n, m, W, T);
      |  ^~
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