Submission #113117

#TimeUsernameProblemLanguageResultExecution timeMemory
113117BruteforcemanLong Distance Coach (JOI17_coach)C++11
71 / 100
2045 ms18144 KiB
#include "bits/stdc++.h"
using namespace std;
long long s[200010];
long long d[200010];
long long c[200010];
int N, M;
long long X, W, T;
typedef pair <long long, int> pii;
vector <pii> v;
long long dp[200010];

long long p[200010];
int cnt[200010];


struct CHT {
	vector <long long> M, C;
	bool bad(int i, int j, int k) {
		return (C[k] - C[j]) * (M[j] - M[i]) <= (C[j] - C[i]) * (M[j] - M[k]);
	}
	void add_line(long long m, long long c) {
		// if(!M.empty() && M.back() == m) {
		// 	if(C.back() < c) return ;
		// 	else {
		// 		M.pop_back();
		// 		C.pop_back();
		// 	}
		// }
		M.push_back(m);
		C.push_back(c);
		// while(M.size() >= 3 && bad(M.size() - 3, M.size() - 2, M.size() - 1)) {
		// 	M.erase(M.end() - 2);
		// }
	}
	long long search(int b, int e, long long val) {
		if(b == e) {
			return M[b] * val + C[b];
		}
		int mid = (b + e) >> 1;
		if((M[mid] * val + C[mid]) >= (M[mid + 1] * val + C[mid + 1])) {
			return search(mid + 1, e, val);
		} else {
			return search(b, mid, val);
		}
	}
	long long eval(long long x) {
		long long ans = 0;
		for(int i = 0; i < M.size(); i++) {
			ans = min(ans, M[i] * x + C[i]);
		}
		return ans;
		// return search(0, M.size() - 1, x);
	}
} cht;

int main(int argc, char const *argv[])
{
	scanf("%lld %d %d %lld %lld", &X, &N, &M, &W, &T);
	for(int i = 1; i <= N; i++) {
		scanf("%lld", &s[i]);
	}
	s[++N] = X;
	for(int i = 1; i <= N; i++) {
		v.push_back(pii(s[i] % T, i));
	}  
	for(int i = 1; i <= M; i++) {
		scanf("%lld %lld", &d[i], &c[i]);
		v.push_back(pii(d[i], -i));
	}
	sort(v.begin(), v.end());

	long long ans = (X / T) + 1;
	for(int i = 1; i <= M; i++) {
		ans += 1 + ((X - d[i]) / T);
	}
	ans *= W;
	int sz = N + M;
	v.insert(v.begin(), pii(0, 0));


	for(int i = 1; i <= sz; i++) {
		if(v[i].second < 0) {
			int id = -v[i].second;
			p[i] = c[id] - W * (1 + ((X - d[id]) / T));
			cnt[i] = 1;
		}
		p[i] += p[i - 1];
		cnt[i] += cnt[i - 1];
	}

	cht.add_line(0, 0);

	dp[0] = 0;
	for(int i = 1; i <= sz; i++) {
		if(v[i].second < 0) {
			dp[i] = dp[i - 1];
		} else {
			long long var = W * (s[v[i].second] / T);
			long long cost = 0;
			long long add = p[i] + var * cnt[i];
			// for(int cur = i; cur >= 1; cur--) {
			// 	long long m = -cnt[cur - 1];
			// 	long long c = dp[cur - 1] - p[cur - 1];
			// 	long long add = p[i] + var * cnt[i];
			// 	dp[i] = min(dp[i], m * var + c + add);
			// }
			dp[i] = add + cht.eval(var);
		}
		long long m = -cnt[i];
		long long c = dp[i] - p[i];
		cht.add_line(m, c);
	}
	ans += dp[sz];
	printf("%lld\n", ans);
	return 0;
}

Compilation message (stderr)

coach.cpp: In member function 'long long int CHT::eval(long long int)':
coach.cpp:48:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 0; i < M.size(); i++) {
                  ~~^~~~~~~~~~
coach.cpp: In function 'int main(int, const char**)':
coach.cpp:99:14: warning: unused variable 'cost' [-Wunused-variable]
    long long cost = 0;
              ^~~~
coach.cpp:58:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld %d %d %lld %lld", &X, &N, &M, &W, &T);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
coach.cpp:60:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld", &s[i]);
   ~~~~~^~~~~~~~~~~~~~~
coach.cpp:67:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld %lld", &d[i], &c[i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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