oj.uz

Submission #538196

# Submission time Handle Problem Language Result Execution time Memory
538196 2022-03-16T08:05:08 Z fhvirus Treatment Project (JOI20_treatment) C++17
100 / 100
 223 ms 33932 KB 
// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef pair<int,int> pii;
#define ff first
#define ss second
#define pb emplace_back
#define AI(x) begin(x),end(x)
#ifdef OWO
#define debug(args...) SDF(#args, args)
#define OIU(args...) ostream& operator<<(ostream&O,args)
#define LKJ(S,B,E,F) template<class...T>OIU(S<T...>s){O<<B;int c=0;for(auto i:s)O<<(c++?", ":"")<<F;return O<<E;}
LKJ(vector,'[',']',i)LKJ(deque,'[',']',i)LKJ(set,'{','}',i)LKJ(multiset,'{','}',i)LKJ(unordered_set,'{','}',i)LKJ(map,'{','}',i.ff<<':'<<i.ss)LKJ(unordered_map,'{','}',i.ff<<':'<<i.ss)
template<class...T>void SDF(const char* s,T...a){int c=sizeof...(T);if(!c){cerr<<"\033[1;32mvoid\033[0m\n";return;}(cerr<<"\033[1;32m("<<s<<") = (",...,(cerr<<a<<(--c?", ":")\033[0m\n")));}
template<class T,size_t N>OIU(array<T,N>a){return O<<vector<T>(AI(a));}template<class...T>OIU(pair<T...>p){return O<<'('<<p.ff<<','<<p.ss<<')';}template<class...T>OIU(tuple<T...>t){return O<<'(',apply([&O](T...s){int c=0;(...,(O<<(c++?", ":"")<<s));},t),O<<')';}
#else
#define debug(...) ((void)0)
#endif

struct Lisan: vector<int> {
	void done() { sort(begin(), end()); erase(unique(begin(), end()), end()); }
	int operator () (const int& v) const { return std::lower_bound(begin(), end(), v) - begin(); }
	int upper_bound (const int& v) const { return std::upper_bound(begin(), end(), v) - begin(); }
};

struct Treatment {
	int T, L, R, C, x, y;
	Treatment (const int& _T, const int& _L, const int& _R, const int& _C):
		T(_T), L(_L), R(_R), C(_C), x(L + T), y(L - T) {}
};

struct SegmentTree {
	int n; vector<vector<pair<int, int>>> val;
	SegmentTree (const int& _n): n(_n), val(4 << __lg(n)) {}
	void insert(int i, int l, int r, int p, pair<int, int> v) {
		if (l + 1 == r) {
			val[i].push_back(v);
			return;
		}
		int m = (l + r) / 2;
		if (p < m) insert(i * 2, l, m, p, v);
		else insert(i * 2 + 1, m, r, p, v);
	}
	void insert(int x, int y, int i) { insert(1, 0, n, x, pair<int, int>(y, i)); }
	void build(int i, int l, int r) {
		if (l + 1 == r) {
			sort(begin(val[i]), end(val[i]), greater<pair<int, int>>());
			return;
		}
		int m = (l + r) / 2;
		build(i * 2, l, m);
		build(i*2+1, m, r);
		val[i].reserve(val[i * 2].size() + val[i*2+1].size());
		merge(begin(val[i * 2]), end(val[i * 2]), begin(val[i*2+1]), end(val[i*2+1]), back_inserter(val[i]), greater<pair<int, int>>());
	}
	void build() { build(1, 0, n); }
	void collect(int i, int l, int r, int x, int y, vector<int>& ids) {
		debug(i, l, r, x, y, val[i]);
		if (x <= l) return;
		if (r <= x) {
			while (!val[i].empty()) {
				auto [yi, id] = val[i].back();
				if (yi <= y) {
					ids.emplace_back(id);
					val[i].pop_back();
				} else break;
			}
			return;
		}
		int m = (l + r) / 2;
		collect(i * 2, l, m, x, y, ids);
		if (m < x) collect(i * 2 + 1, m, r, x, y, ids);
	}
	void collect(int x, int y, vector<int>& ids) { collect(1, 0, n, x, y, ids); }
};

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);

	int N, M;
	cin >> N >> M;

	vector<Treatment> ts;
	Lisan lisan;
	ts.reserve(M);
	lisan.reserve(M);
	for (int T, L, R, C, i = 0; i < M; ++i) {
		cin >> T >> L >> R >> C;
		ts.emplace_back(T, L, R, C);
		lisan.emplace_back(ts.back().x);
	}

	lisan.done();
	debug(lisan.size(), lisan);

	SegmentTree sgt(lisan.size());
	for (int i = 0; i < M; ++i) {
		const auto& [T, L, R, C, x, y] = ts[i];
		sgt.insert(lisan(x), y, i);
		debug(T, L, R, lisan(x), y, i);
	}
	sgt.build();

	vector<long long> dis(M, LLONG_MAX);
	priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> pq;
	for (int i = 0; i < M; ++i) {
		if (ts[i].L == 1) {
			dis[i] = ts[i].C;
			pq.emplace(dis[i], i);
		}
	}

	vector<int> vs;
	vs.reserve(M);
	while (!pq.empty()) {
		auto [d, u] = pq.top(); pq.pop();
		assert(d == dis[u]);

		int x = ts[u].R + ts[u].T + 1;
		int y = ts[u].R - ts[u].T + 1;
		debug(u, x, y);
		sgt.collect(lisan.upper_bound(x), y, vs);
		debug(vs);
		for (const int& v: vs) {
			if (d + ts[v].C < dis[v]) {
				dis[v] = d + ts[v].C;
				pq.emplace(dis[v], v);
			}
		}
		vs.clear();
	}

	long long ans = LLONG_MAX;
	for (int i = 0; i < M; ++i) {
		if (ts[i].R == N) {
			ans = min(ans, dis[i]);
		}
	}

	if (ans == LLONG_MAX) ans = -1;

	cout << ans << '\n';

	return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 134 ms 31024 KB Output is correct
2 Correct 122 ms 30712 KB Output is correct
3 Correct 121 ms 25264 KB Output is correct
4 Correct 130 ms 24860 KB Output is correct
5 Correct 75 ms 15416 KB Output is correct
6 Correct 77 ms 16400 KB Output is correct
7 Correct 82 ms 20040 KB Output is correct
8 Correct 68 ms 12996 KB Output is correct
9 Correct 66 ms 15836 KB Output is correct
10 Correct 64 ms 19644 KB Output is correct
11 Correct 158 ms 33024 KB Output is correct
12 Correct 175 ms 33028 KB Output is correct
13 Correct 165 ms 32900 KB Output is correct
14 Correct 167 ms 32968 KB Output is correct
15 Correct 147 ms 30924 KB Output is correct
16 Correct 173 ms 30912 KB Output is correct
17 Correct 137 ms 30112 KB Output is correct
18 Correct 142 ms 32296 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 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 1 ms 212 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 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 1 ms 212 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 7 ms 1736 KB Output is correct
21 Correct 6 ms 1748 KB Output is correct
22 Correct 6 ms 1736 KB Output is correct
23 Correct 6 ms 1748 KB Output is correct
24 Correct 7 ms 1876 KB Output is correct
25 Correct 7 ms 1748 KB Output is correct
26 Correct 6 ms 1740 KB Output is correct
27 Correct 6 ms 1768 KB Output is correct
28 Correct 7 ms 1876 KB Output is correct
29 Correct 6 ms 1748 KB Output is correct
30 Correct 5 ms 1748 KB Output is correct
31 Correct 5 ms 1748 KB Output is correct
32 Correct 8 ms 1984 KB Output is correct
33 Correct 9 ms 2004 KB Output is correct
34 Correct 8 ms 1748 KB Output is correct
35 Correct 9 ms 1852 KB Output is correct
36 Correct 6 ms 1968 KB Output is correct
37 Correct 6 ms 1732 KB Output is correct

Subtask #4
61.0 / 61.0

# Verdict Execution time Memory Grader output
1 Correct 134 ms 31024 KB Output is correct
2 Correct 122 ms 30712 KB Output is correct
3 Correct 121 ms 25264 KB Output is correct
4 Correct 130 ms 24860 KB Output is correct
5 Correct 75 ms 15416 KB Output is correct
6 Correct 77 ms 16400 KB Output is correct
7 Correct 82 ms 20040 KB Output is correct
8 Correct 68 ms 12996 KB Output is correct
9 Correct 66 ms 15836 KB Output is correct
10 Correct 64 ms 19644 KB Output is correct
11 Correct 158 ms 33024 KB Output is correct
12 Correct 175 ms 33028 KB Output is correct
13 Correct 165 ms 32900 KB Output is correct
14 Correct 167 ms 32968 KB Output is correct
15 Correct 147 ms 30924 KB Output is correct
16 Correct 173 ms 30912 KB Output is correct
17 Correct 137 ms 30112 KB Output is correct
18 Correct 142 ms 32296 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 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 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 320 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 320 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 7 ms 1736 KB Output is correct
39 Correct 6 ms 1748 KB Output is correct
40 Correct 6 ms 1736 KB Output is correct
41 Correct 6 ms 1748 KB Output is correct
42 Correct 7 ms 1876 KB Output is correct
43 Correct 7 ms 1748 KB Output is correct
44 Correct 6 ms 1740 KB Output is correct
45 Correct 6 ms 1768 KB Output is correct
46 Correct 7 ms 1876 KB Output is correct
47 Correct 6 ms 1748 KB Output is correct
48 Correct 5 ms 1748 KB Output is correct
49 Correct 5 ms 1748 KB Output is correct
50 Correct 8 ms 1984 KB Output is correct
51 Correct 9 ms 2004 KB Output is correct
52 Correct 8 ms 1748 KB Output is correct
53 Correct 9 ms 1852 KB Output is correct
54 Correct 6 ms 1968 KB Output is correct
55 Correct 6 ms 1732 KB Output is correct
56 Correct 141 ms 31300 KB Output is correct
57 Correct 146 ms 30316 KB Output is correct
58 Correct 149 ms 29932 KB Output is correct
59 Correct 131 ms 30300 KB Output is correct
60 Correct 154 ms 31352 KB Output is correct
61 Correct 157 ms 29952 KB Output is correct
62 Correct 147 ms 31356 KB Output is correct
63 Correct 130 ms 31016 KB Output is correct
64 Correct 126 ms 31060 KB Output is correct
65 Correct 155 ms 31180 KB Output is correct
66 Correct 148 ms 30808 KB Output is correct
67 Correct 173 ms 31636 KB Output is correct
68 Correct 192 ms 31408 KB Output is correct
69 Correct 138 ms 31440 KB Output is correct
70 Correct 183 ms 31672 KB Output is correct
71 Correct 169 ms 31524 KB Output is correct
72 Correct 135 ms 31548 KB Output is correct
73 Correct 197 ms 31684 KB Output is correct
74 Correct 101 ms 31308 KB Output is correct
75 Correct 101 ms 31348 KB Output is correct
76 Correct 183 ms 33492 KB Output is correct
77 Correct 183 ms 33800 KB Output is correct
78 Correct 223 ms 33228 KB Output is correct
79 Correct 184 ms 31544 KB Output is correct
80 Correct 151 ms 31280 KB Output is correct
81 Correct 119 ms 31280 KB Output is correct
82 Correct 151 ms 30768 KB Output is correct
83 Correct 159 ms 30900 KB Output is correct
84 Correct 186 ms 30552 KB Output is correct
85 Correct 154 ms 31392 KB Output is correct
86 Correct 142 ms 31356 KB Output is correct
87 Correct 152 ms 31616 KB Output is correct
88 Correct 147 ms 30408 KB Output is correct
89 Correct 143 ms 31308 KB Output is correct
90 Correct 193 ms 33792 KB Output is correct
91 Correct 164 ms 32680 KB Output is correct
92 Correct 144 ms 31300 KB Output is correct
93 Correct 188 ms 31436 KB Output is correct
94 Correct 139 ms 26528 KB Output is correct
95 Correct 162 ms 31452 KB Output is correct
96 Correct 198 ms 33540 KB Output is correct
97 Correct 186 ms 33620 KB Output is correct
98 Correct 195 ms 33588 KB Output is correct
99 Correct 209 ms 33696 KB Output is correct
100 Correct 149 ms 28352 KB Output is correct
101 Correct 213 ms 33600 KB Output is correct
102 Correct 166 ms 33932 KB Output is correct
103 Correct 147 ms 31860 KB Output is correct