oj.uz

Submission #427906

# Submission time Handle Problem Language Result Execution time Memory
427906 2021-06-15T04:49:06 Z Kevin_Zhang_TW Long Distance Coach (JOI17_coach) C++17
71 / 100
 2000 ms 51868 KB 
#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);
	}
	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);
	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;
}

struct sgt {
	struct node {
		ll mn, at;
		node () : mn(0), at(0) {}
		node (node a, node b) : at(0) {
			mn = min(a.mn, b.mn);
		}
		void operator += (ll v) {
			mn += v, at += v;
		}
	};
	int n;
	vector<node> val;
	sgt(int n) : n(n) {
		val.resize(n<<1);
	}
	void push(int i) {
		if (i >= n) return;
		ll &at = val[i].at;
		val[i<<1] += at, val[i<<1|1] += at;
		at = 0;
	}
	void upd(int i) {
		if (i >= n) return;
		push(i);
		val[i] = node(val[i<<1], val[i<<1|1]);
	}
	void add(int l, int r, ll v) {
		int sl = l += n, sr = r += n;
		for (;l < r;l>>=1, r>>=1) {
			if (l&1) val[l++] += v;
			if (r&1) val[--r] += v;
		}
		for (;sl>>=1, sr>>=1;)
			upd(sl), upd(sr);
	}
	ll qry(int l, int r) {
		ll res = inf;
		l += n, r += n;
		for (int i = MAX_K;i > 0;--i) push(l>>i), push(r>>i);
		for (;l < r;l>>=1, r>>=1) {
			if (l&1) chmin(res, val[l++].mn);
			if (r&1) chmin(res, val[--r].mn);
		}
		return res;
	}
};
// 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();

	dp[0] = (X / T + (X % T > man[0].first)) * W;

	deque< int > from, time;
	from.pb(0), time.pb(-1);

	auto trans = [&](int j, int i) {
		return dp[j] + cost(j+1, i-1);
	};

	for (int i = 1;i < m;++i) {
		auto [d, c] = man[i];
		ll sum = (X / T + (X % T > d)) * W;

		while (from.size() > 1 && time[1] <= i)
			from.pop_front(), time.pop_front();

		DE(i, from[0]);

		dp[i] = sum + trans(from[0], i);

		// tell me when x becomes better than y
		auto better = [&](int x, int y) {
			int l = i+1, r = m, mid;
			while (l < r) {
				mid = l + r >> 1;
				if (trans(x, mid) <= trans(y, mid))
					r = mid;
				else 
					l = mid+1;
			}
			return l;
		};
		while (from.size() > 1) {
			int ti = better(i, from.back());
			if (ti > time.back()) break;
			from.pop_back(), time.pop_back();
		}
		time.pb(better(i, from.back())), from.pb(i);
	}

	int lst = -1;
	for (int i = 1;i < m;++i) {
		auto [d, c] = man[i];
		ll sum = (X / T + (X % T > d)) * W;
		dp[i] = inf;

		int p = -1;
		for (int j = 0;j < i;++j) {
			if (chmin(dp[i], sum + trans(j, i)))
				p = j;
		}
		assert(p >= lst);
		DE(i, p);
	}
}

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

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: In function 'll cost(int, int)':
coach.cpp:66:5: warning: unused variable 'req' [-Wunused-variable]
   66 |  ll req = X / T + 10;
      |     ^~~
coach.cpp: In function 'void solve()':
coach.cpp:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
coach.cpp:159:3: note: in expansion of macro 'DE'
  159 |   DE(i, from[0]);
      |   ^~
coach.cpp: In lambda function:
coach.cpp:167:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  167 |     mid = l + r >> 1;
      |           ~~^~~
coach.cpp: In function 'void solve()':
coach.cpp:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
coach.cpp:195:3: note: in expansion of macro 'DE'
  195 |   DE(i, p);
      |   ^~
coach.cpp: In function 'int32_t main()':
coach.cpp:14:17: warning: statement has no effect [-Wunused-value]
   14 | #define DE(...) 0
      |                 ^
coach.cpp:203:2: note: in expansion of macro 'DE'
  203 |  DE(X, n, m, W, T);
      |  ^~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 472 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 472 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 1 ms 588 KB Output is correct
25 Correct 1 ms 588 KB Output is correct
26 Correct 1 ms 588 KB Output is correct
27 Correct 1 ms 588 KB Output is correct
28 Correct 1 ms 588 KB Output is correct
29 Correct 1 ms 588 KB Output is correct
30 Correct 1 ms 588 KB Output is correct
31 Correct 2 ms 588 KB Output is correct
32 Correct 1 ms 588 KB Output is correct
33 Correct 1 ms 588 KB Output is correct
34 Correct 1 ms 588 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 1 ms 588 KB Output is correct
37 Correct 1 ms 588 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 472 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 1 ms 588 KB Output is correct
25 Correct 1 ms 588 KB Output is correct
26 Correct 1 ms 588 KB Output is correct
27 Correct 1 ms 588 KB Output is correct
28 Correct 1 ms 588 KB Output is correct
29 Correct 1 ms 588 KB Output is correct
30 Correct 1 ms 588 KB Output is correct
31 Correct 2 ms 588 KB Output is correct
32 Correct 1 ms 588 KB Output is correct
33 Correct 1 ms 588 KB Output is correct
34 Correct 1 ms 588 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 1 ms 588 KB Output is correct
37 Correct 1 ms 588 KB Output is correct
38 Correct 59 ms 972 KB Output is correct
39 Correct 60 ms 972 KB Output is correct
40 Correct 68 ms 1064 KB Output is correct
41 Correct 64 ms 1072 KB Output is correct
42 Correct 57 ms 1092 KB Output is correct
43 Correct 59 ms 972 KB Output is correct
44 Correct 60 ms 972 KB Output is correct
45 Correct 65 ms 1072 KB Output is correct
46 Correct 121 ms 1076 KB Output is correct
47 Correct 73 ms 1072 KB Output is correct
48 Correct 61 ms 972 KB Output is correct
49 Correct 126 ms 1092 KB Output is correct
50 Correct 61 ms 972 KB Output is correct
51 Correct 61 ms 1068 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 472 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 588 KB Output is correct
24 Correct 1 ms 588 KB Output is correct
25 Correct 1 ms 588 KB Output is correct
26 Correct 1 ms 588 KB Output is correct
27 Correct 1 ms 588 KB Output is correct
28 Correct 1 ms 588 KB Output is correct
29 Correct 1 ms 588 KB Output is correct
30 Correct 1 ms 588 KB Output is correct
31 Correct 2 ms 588 KB Output is correct
32 Correct 1 ms 588 KB Output is correct
33 Correct 1 ms 588 KB Output is correct
34 Correct 1 ms 588 KB Output is correct
35 Correct 1 ms 592 KB Output is correct
36 Correct 1 ms 588 KB Output is correct
37 Correct 1 ms 588 KB Output is correct
38 Correct 59 ms 972 KB Output is correct
39 Correct 60 ms 972 KB Output is correct
40 Correct 68 ms 1064 KB Output is correct
41 Correct 64 ms 1072 KB Output is correct
42 Correct 57 ms 1092 KB Output is correct
43 Correct 59 ms 972 KB Output is correct
44 Correct 60 ms 972 KB Output is correct
45 Correct 65 ms 1072 KB Output is correct
46 Correct 121 ms 1076 KB Output is correct
47 Correct 73 ms 1072 KB Output is correct
48 Correct 61 ms 972 KB Output is correct
49 Correct 126 ms 1092 KB Output is correct
50 Correct 61 ms 972 KB Output is correct
51 Correct 61 ms 1068 KB Output is correct
52 Execution timed out 2076 ms 51868 KB Time limit exceeded
53 Halted 0 ms 0 KB -