oj.uz

Submission #550378

# Submission time Handle Problem Language Result Execution time Memory
550378 2022-04-18T01:49:51 Z LucaDantas Long Distance Coach (JOI17_coach) C++17
100 / 100
 339 ms 20684 KB 
#include <bits/stdc++.h>
using namespace std;

/* struct Line {
	long long a, b;
	Line(long long _a, long long _b) : a(_a), b(_b) {}
	bool operator <(const Line& o) const { return a > o.a; }
	long long eval(long long x) const { return a*x + b; }
};

// queries are decreasing so we can always query the last value
struct CHT : multiset<Line> {
	bool hasNext(multiset<Line>::iterator it) { return next(it) != this->end(); }
	bool hasPrev(multiset<Line>::iterator it) { return it != this->begin(); }
	long double intersect(Line x, Line y) { return ((long double)(x.a-y.a)) / (y.b-x.b); }
	bool bad(Line a, Line b, Line c) { return intersect(a, c) <= intersect(a, b); }
	
	void add(Line l) {
		auto it = this->lower_bound(l);
		if(it != this->end() && it->a == l.a) {
			if(it->b < l.b) return;
			this->erase(it);
		}

		it = this->insert(l);
		
		if(hasNext(it) && hasPrev(it) && bad(*prev(it), *it, *next(it)))
			return (void)(this->erase(it));
		
		while(hasNext(it) && hasNext(next(it)) && bad(*it, *next(it), *next(next(it))))
			this->erase(next(it));

		while(hasPrev(it) && hasPrev(prev(it)) && bad(*prev(prev(it)), *prev(it), *it))
			this->erase(prev(it));
	}

	long long query(long long x) {
		// long long ans = 0x3f3f3f3f3f3f3f3f;
		// for(Line l : *this)
			// ans = min(ans, l.eval(x));
		// return ans;

		if((this->size()) == 0) return 0x3f3f3f3f3f3f3f3f;

		while(this->size() >= 2 && prev(this->end())->eval(x) >= prev( prev(this->end()) )->eval(x))
			this->erase(prev(this->end()));
		return prev(this->end())->eval(x);
	}
} cht; */

constexpr long long inf = 0x3f3f3f3f3f3f3f3f;

struct Line
{
	long long a, b, x; // vou codar com inteiros msm
	Line(long long _a = 0, long long _b = 0, long long _x = inf) : a(_a), b(_b), x(_x) {}
	bool operator<(const Line& o) const { return a > o. a; } // change < for >, for min queries
	bool operator<(const long long& o) const { return x < o; }
};

struct LineContainer : multiset<Line, less<>>
{
	bool hasNext(iterator it) { return next(it) != end(); }
	bool hasPrev(iterator it) { return it != begin(); }
	long double intersect(Line l1, Line l2) { return ((long double)(l1.b-l2.b)) / (l2.a-l1.a); }
	bool bad(Line l1, Line l2, Line l3) { return intersect(l1, l3) <= intersect(l1, l2); }
	iterator get_x(iterator it) {
		if(!hasNext(it)) return it;
		Line l = *it;
		l.x = intersect(l, *next(it));
		erase(it);
		return insert(l);
	}
	void add(Line l) {
		auto it = lower_bound(l);
		long long a = l.a, b = l.b;
		if(it != end() && it->a == a) {
			if(it->b < b) return;
			erase(it);
		}
		it = insert(l);
		if(hasPrev(it) && hasNext(it) && bad(*prev(it), *it, *next(it)))
			return (void)(erase(it));
		while(hasPrev(it) && hasPrev(prev(it)) && bad(*prev(prev(it)), *prev(it), *it))
			erase(prev(it));
		while(hasNext(it) && hasNext(next(it)) && bad(*it, *next(it), *next(next(it))))
			erase(next(it));
		it = get_x(it);
		if(hasPrev(it)) get_x(prev(it));
	}
	long long query(long long x) {
		// assert(!empty());
		if(empty()) return 0x3f3f3f3f3f3f3f3f;
		auto it = lower_bound(x);
		return it->a*x + it->b;
	}
} cht;

/* using ll = long long;

struct Line {
	mutable ll k, m, p;
	Line(ll a, ll b, ll c = 0) : k(a), m(b), p(c) {}
	bool operator<(const Line& o) const { return k > o.k; }
	bool operator<(ll x) const { return p < x; }
};

struct LineContainer : multiset<Line, less<>> {
	// (for doubles, use inf = 1/.0, div(a,b) = a/b)
	static const ll inf = LLONG_MAX;
	ll div(ll a, ll b) { // floored division
		return a / b - ((a ^ b) < 0 && a % b); }
	bool isect(iterator x, iterator y) {
		if (y == end()) return x->p = inf, 0;
		if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
		else x->p = div(y->m - x->m, x->k - y->k);
		return x->p >= y->p;
	}
	void add(Line Ln) {
		ll k = Ln.k, m = Ln.m;
		auto z = insert({k, m, 0}), y = z++, x = y;
		while (isect(y, z)) z = erase(z);
		if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
		while ((y = x) != begin() && (--x)->p >= y->p)
			isect(x, erase(y));
	}
	ll query(ll x) {
		assert(!empty());
		auto l = *lower_bound(x);
		return l.k * x + l.m;
	}
} cht; */

constexpr int maxn = 2e5+10;

int nxt[maxn]; // next living guy after a water refill

long long X, N, M, W, T;

long long refill[maxn], time_person[maxn], kill_person[maxn], dp[maxn];

int main() {
	scanf("%lld %lld %lld %lld %lld", &X, &N, &M, &W, &T);
	for(int i = 1; i <= N; i++)
		scanf("%lld", &refill[i]);
	refill[++N] = X;

	sort(refill+1, refill+1+N, [&](long long x1, long long x2) { return x1%T > x2%T; });

	for(int i = 1; i <= M; i++)
		scanf("%lld %lld", &time_person[i], &kill_person[i]);

	vector<pair<long long, long long>> tempos; // o tempo T é o fim
	for(int i = 1; i <= M; i++)
		tempos.push_back({time_person[i], kill_person[i]});
	sort(tempos.begin(), tempos.end());

	for(int i = 0; i < M; i++)
		time_person[i+1] = tempos[i].first, kill_person[i+1] = tempos[i].second;
	time_person[M+1] = T; // setto o valor do piloto

	for(int i = 1; i <= N; i++)
		nxt[i] = lower_bound(time_person+1, time_person+1+M, refill[i] % T) - time_person; // ID do proximo cara vivo dps de mim

	for(int i = 2; i <= M; i++)
		kill_person[i] += kill_person[i-1];

	auto qtd = [&](long long tempo) { return X / T + (tempo < X%T); };

	dp[M+1] = W * (X/T + 1);
	for(int i = M, j = 1; i >= 1; i--) {
		// cht
		// val[j] + pref[i-1] = {dp[nxt[j]] + pref[nxt[j]-1] + (refill[j]/T) * W * (r+1)} + l * {- (refill[j] / T) * W}

		for(; j <= N && refill[j] % T >= time_person[i]; j++)
			cht.add(Line(-1 * (refill[j] / T) * W, dp[nxt[j]] + kill_person[nxt[j]-1] + (refill[j]/T)*W*((nxt[j]-1)+1) ));

		// opção 1: fico vivo até o final
		// opção 2: uso alguem pra me matar
		dp[i] = min(dp[i+1] + W * qtd(time_person[i]), cht.query(i) - kill_person[i-1]);
	}

	printf("%lld\n", dp[1]);
}

Compilation message

coach.cpp: In function 'int main()':
coach.cpp:143:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  143 |  scanf("%lld %lld %lld %lld %lld", &X, &N, &M, &W, &T);
      |  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
coach.cpp:145:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  145 |   scanf("%lld", &refill[i]);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~
coach.cpp:151:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  151 |   scanf("%lld %lld", &time_person[i], &kill_person[i]);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 356 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 308 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 308 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 356 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 308 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 308 KB Output is correct
38 Correct 3 ms 468 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 2 ms 468 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 2 ms 468 KB Output is correct
47 Correct 3 ms 468 KB Output is correct
48 Correct 3 ms 448 KB Output is correct
49 Correct 2 ms 584 KB Output is correct
50 Correct 2 ms 444 KB Output is correct
51 Correct 2 ms 468 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 356 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 308 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 308 KB Output is correct
38 Correct 3 ms 468 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 2 ms 468 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 2 ms 468 KB Output is correct
47 Correct 3 ms 468 KB Output is correct
48 Correct 3 ms 448 KB Output is correct
49 Correct 2 ms 584 KB Output is correct
50 Correct 2 ms 444 KB Output is correct
51 Correct 2 ms 468 KB Output is correct
52 Correct 206 ms 16248 KB Output is correct
53 Correct 253 ms 16432 KB Output is correct
54 Correct 213 ms 15444 KB Output is correct
55 Correct 227 ms 15584 KB Output is correct
56 Correct 222 ms 15924 KB Output is correct
57 Correct 207 ms 15720 KB Output is correct
58 Correct 224 ms 16284 KB Output is correct
59 Correct 232 ms 15656 KB Output is correct
60 Correct 232 ms 15476 KB Output is correct
61 Correct 209 ms 15656 KB Output is correct
62 Correct 216 ms 15660 KB Output is correct
63 Correct 287 ms 20684 KB Output is correct
64 Correct 149 ms 16416 KB Output is correct
65 Correct 303 ms 16392 KB Output is correct
66 Correct 339 ms 16360 KB Output is correct
67 Correct 288 ms 16440 KB Output is correct
68 Correct 301 ms 16300 KB Output is correct
69 Correct 215 ms 16176 KB Output is correct
70 Correct 214 ms 16192 KB Output is correct
71 Correct 251 ms 16028 KB Output is correct
72 Correct 208 ms 16076 KB Output is correct
73 Correct 241 ms 16100 KB Output is correct
74 Correct 234 ms 16140 KB Output is correct
75 Correct 229 ms 16228 KB Output is correct
76 Correct 255 ms 16228 KB Output is correct
77 Correct 183 ms 15928 KB Output is correct
78 Correct 231 ms 16220 KB Output is correct
79 Correct 207 ms 15680 KB Output is correct
80 Correct 209 ms 15716 KB Output is correct