Submission #500735

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
500735	2022-01-01T04:02:06 Z	arujbansal	Fuel Station (NOI20_fuelstation)	C++17	100 / 100	301 ms	41992 KB

FuelStation

#include <bits/stdc++.h>

using namespace std;

#define int long long
#define all(x) (x).begin(), (x).end()
#define sz(x) (int) (x).size()

const int MXN = 3e5 + 5, INF = 1e18;
int N, D;
int tree[4 * MXN], lazy[4 * MXN], tree_build[MXN];
array<int, 3> A[MXN];

int merge(int x, int y) {
	return min(x, y);
}

void build(int i, int l, int r) {
	if (l == r) {
		tree[i] = tree_build[l];
		return;
	}

	int mid = (l + r) / 2;
	build(2 * i, l, mid);
	build(2 * i + 1, mid + 1, r);
	tree[i] = merge(tree[2 * i], tree[2 * i + 1]);
}

void propagate(int i, int l, int r) {
	if (lazy[i] == 0) return;

	tree[i] += lazy[i];

	if (l != r) {
		lazy[2 * i] += lazy[i];
		lazy[2 * i + 1] += lazy[i];
	}

	lazy[i] = 0;
}

void increment(int i, int l, int r, int ql, int qr, int val) {
	propagate(i, l, r);
	if (l > qr || r < ql) return;
	if (l >= ql && r <= qr) {
		lazy[i] += val;
		propagate(i, l, r);
		return;
	}

	int mid = (l + r) / 2;
	increment(2 * i, l, mid, ql, qr, val);
	increment(2 * i + 1, mid + 1, r, ql, qr, val);
	tree[i] = merge(tree[2 * i], tree[2 * i + 1]);
}

int query(int i, int l, int r, int ql, int qr) {
	propagate(i, l, r);
	if (l > qr || r < ql) return INF;
	if (l >= ql && r <= qr) return tree[i];

	int mid = (l + r) / 2;
	return merge(query(2 * i, l, mid, ql, qr), query(2 * i + 1, mid + 1, r, ql, qr));
}

void increment(int l, int r, int val) { increment(1, 0, N - 1, l, r, val); }

int query(int l, int r) { return query(1, 0, N - 1, l, r); }

void deactivate(int idx, int nxt) {
	if (nxt > N - 1) return;
	increment(nxt, N - 1, -A[idx][1]);
}

signed main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);

	cin >> N >> D;

	for (int i = 0; i < N; i++)
		cin >> A[i][0] >> A[i][1] >> A[i][2];

	sort(A, A + N);

	A[N] = {D, 0, D};
	N++;

	vector<pair<int, int>> sorted_b;
	int fuel_sum = 0;

	int ptr = 0;

	for (int i = 0; i < N; i++) {
		while (ptr < N && A[ptr][0] != A[i][0])
			fuel_sum += A[ptr++][1];

		tree_build[i] = -A[i][0] + fuel_sum;

		
		sorted_b.emplace_back(A[i][2], i);
	}

	build(1, 0, N - 1);
	sort(all(sorted_b));

	vector<int> nxt(N, N + 2);
	for (int i = 0, j = 0; i < N; i++) {
		for (; j < N && A[i][0] == A[j][0]; j++);

		// cout << j << "\n";

		nxt[i] = j;
		// cout << i << " " << nxt[i] << "\n";
		

		while (i < j)
			nxt[i++] = j;

		i--;

		// cout << i << " " << nxt[i] << "\n";
	}

	// cout << N << "\n";

	// for (int k = 0; k < N; k++)
	// 	cout << nxt[sorted_b[k].second] << " ";

	// cout << "\n\n";

	for (int i = 0, j = 0, last = 0; i < sz(sorted_b); i++) {
		increment(0, N - 1, sorted_b[i].first - last);
		last = sorted_b[i].first;

		while (j <= i && sorted_b[j].first < sorted_b[i].first) {
			deactivate(sorted_b[j].second, nxt[sorted_b[j].second]);
			j++;
		}

		// for (int k = 0; k < N; k++)
		// 	cout << query(k, k) << " ";

		// cout << "\n\n";

		int qry = query(0, N - 1);
		if (qry >= 0) {
			cout << sorted_b[i].first - qry;
			return 0;
		}
	}

	// cout << sorted_b.back().first;
}

/*
2 15
9 1 14
9 5 1
*/

Subtask #1

7.0 / 7.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	0 ms	316 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	0 ms	328 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	324 KB	Output is correct
12	Correct	0 ms	320 KB	Output is correct
13	Correct	0 ms	320 KB	Output is correct
14	Correct	0 ms	320 KB	Output is correct
15	Correct	0 ms	332 KB	Output is correct

Subtask #2

13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	151 ms	33436 KB	Output is correct
2	Correct	159 ms	33396 KB	Output is correct
3	Correct	185 ms	33280 KB	Output is correct
4	Correct	177 ms	33368 KB	Output is correct
5	Correct	176 ms	33832 KB	Output is correct
6	Correct	180 ms	32780 KB	Output is correct
7	Correct	180 ms	32724 KB	Output is correct
8	Correct	173 ms	33396 KB	Output is correct
9	Correct	182 ms	33956 KB	Output is correct
10	Correct	170 ms	32676 KB	Output is correct
11	Correct	173 ms	32680 KB	Output is correct
12	Correct	151 ms	33424 KB	Output is correct
13	Correct	168 ms	32764 KB	Output is correct
14	Correct	149 ms	33416 KB	Output is correct
15	Correct	144 ms	33416 KB	Output is correct
16	Correct	147 ms	33976 KB	Output is correct
17	Correct	164 ms	33956 KB	Output is correct
18	Correct	151 ms	33472 KB	Output is correct
19	Correct	145 ms	33480 KB	Output is correct
20	Correct	163 ms	33328 KB	Output is correct

Subtask #3

17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	4 ms	1268 KB	Output is correct
3	Correct	4 ms	1228 KB	Output is correct
4	Correct	4 ms	1220 KB	Output is correct
5	Correct	4 ms	1232 KB	Output is correct
6	Correct	4 ms	1296 KB	Output is correct
7	Correct	4 ms	1360 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	324 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	0 ms	332 KB	Output is correct
12	Correct	1 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	7 ms	1604 KB	Output is correct
15	Correct	7 ms	1616 KB	Output is correct
16	Correct	7 ms	1484 KB	Output is correct
17	Correct	7 ms	1616 KB	Output is correct
18	Correct	7 ms	1596 KB	Output is correct
19	Correct	5 ms	1488 KB	Output is correct
20	Correct	6 ms	1356 KB	Output is correct
21	Correct	6 ms	1360 KB	Output is correct
22	Correct	5 ms	1232 KB	Output is correct
23	Correct	4 ms	1228 KB	Output is correct
24	Correct	4 ms	1360 KB	Output is correct
25	Correct	4 ms	1236 KB	Output is correct

Subtask #4

12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	4 ms	1268 KB	Output is correct
3	Correct	4 ms	1228 KB	Output is correct
4	Correct	4 ms	1220 KB	Output is correct
5	Correct	4 ms	1232 KB	Output is correct
6	Correct	4 ms	1296 KB	Output is correct
7	Correct	4 ms	1360 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	1 ms	324 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	0 ms	332 KB	Output is correct
12	Correct	1 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	7 ms	1604 KB	Output is correct
15	Correct	7 ms	1616 KB	Output is correct
16	Correct	7 ms	1484 KB	Output is correct
17	Correct	7 ms	1616 KB	Output is correct
18	Correct	7 ms	1596 KB	Output is correct
19	Correct	5 ms	1488 KB	Output is correct
20	Correct	6 ms	1356 KB	Output is correct
21	Correct	6 ms	1360 KB	Output is correct
22	Correct	5 ms	1232 KB	Output is correct
23	Correct	4 ms	1228 KB	Output is correct
24	Correct	4 ms	1360 KB	Output is correct
25	Correct	4 ms	1236 KB	Output is correct
26	Correct	0 ms	332 KB	Output is correct
27	Correct	138 ms	29240 KB	Output is correct
28	Correct	137 ms	28952 KB	Output is correct
29	Correct	134 ms	28644 KB	Output is correct
30	Correct	140 ms	28716 KB	Output is correct
31	Correct	141 ms	29256 KB	Output is correct
32	Correct	143 ms	28944 KB	Output is correct
33	Correct	0 ms	332 KB	Output is correct
34	Correct	1 ms	332 KB	Output is correct
35	Correct	0 ms	332 KB	Output is correct
36	Correct	0 ms	332 KB	Output is correct
37	Correct	1 ms	332 KB	Output is correct
38	Correct	0 ms	332 KB	Output is correct
39	Correct	253 ms	33740 KB	Output is correct
40	Correct	268 ms	34088 KB	Output is correct
41	Correct	253 ms	34272 KB	Output is correct
42	Correct	252 ms	33424 KB	Output is correct
43	Correct	261 ms	36616 KB	Output is correct
44	Correct	174 ms	36140 KB	Output is correct
45	Correct	187 ms	36308 KB	Output is correct
46	Correct	153 ms	29376 KB	Output is correct
47	Correct	164 ms	30696 KB	Output is correct
48	Correct	167 ms	30756 KB	Output is correct
49	Correct	133 ms	28512 KB	Output is correct
50	Correct	135 ms	28984 KB	Output is correct
51	Correct	142 ms	28972 KB	Output is correct
52	Correct	147 ms	28712 KB	Output is correct

Subtask #5

19.0 / 19.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	0 ms	316 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	0 ms	328 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	324 KB	Output is correct
12	Correct	0 ms	320 KB	Output is correct
13	Correct	0 ms	320 KB	Output is correct
14	Correct	0 ms	320 KB	Output is correct
15	Correct	0 ms	332 KB	Output is correct
16	Correct	0 ms	332 KB	Output is correct
17	Correct	0 ms	332 KB	Output is correct
18	Correct	0 ms	332 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	0 ms	332 KB	Output is correct
21	Correct	1 ms	324 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	332 KB	Output is correct
24	Correct	1 ms	324 KB	Output is correct
25	Correct	1 ms	332 KB	Output is correct
26	Correct	0 ms	332 KB	Output is correct
27	Correct	0 ms	332 KB	Output is correct
28	Correct	0 ms	320 KB	Output is correct
29	Correct	0 ms	320 KB	Output is correct
30	Correct	1 ms	332 KB	Output is correct

Subtask #6

11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	0 ms	316 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	0 ms	328 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	324 KB	Output is correct
12	Correct	0 ms	320 KB	Output is correct
13	Correct	0 ms	320 KB	Output is correct
14	Correct	0 ms	320 KB	Output is correct
15	Correct	0 ms	332 KB	Output is correct
16	Correct	0 ms	332 KB	Output is correct
17	Correct	4 ms	1268 KB	Output is correct
18	Correct	4 ms	1228 KB	Output is correct
19	Correct	4 ms	1220 KB	Output is correct
20	Correct	4 ms	1232 KB	Output is correct
21	Correct	4 ms	1296 KB	Output is correct
22	Correct	4 ms	1360 KB	Output is correct
23	Correct	0 ms	332 KB	Output is correct
24	Correct	1 ms	324 KB	Output is correct
25	Correct	1 ms	332 KB	Output is correct
26	Correct	0 ms	332 KB	Output is correct
27	Correct	1 ms	332 KB	Output is correct
28	Correct	1 ms	332 KB	Output is correct
29	Correct	7 ms	1604 KB	Output is correct
30	Correct	7 ms	1616 KB	Output is correct
31	Correct	7 ms	1484 KB	Output is correct
32	Correct	7 ms	1616 KB	Output is correct
33	Correct	7 ms	1596 KB	Output is correct
34	Correct	5 ms	1488 KB	Output is correct
35	Correct	6 ms	1356 KB	Output is correct
36	Correct	6 ms	1360 KB	Output is correct
37	Correct	5 ms	1232 KB	Output is correct
38	Correct	4 ms	1228 KB	Output is correct
39	Correct	4 ms	1360 KB	Output is correct
40	Correct	4 ms	1236 KB	Output is correct
41	Correct	0 ms	332 KB	Output is correct
42	Correct	5 ms	1352 KB	Output is correct
43	Correct	5 ms	1468 KB	Output is correct
44	Correct	5 ms	1456 KB	Output is correct
45	Correct	5 ms	1452 KB	Output is correct
46	Correct	5 ms	1696 KB	Output is correct
47	Correct	5 ms	1508 KB	Output is correct
48	Correct	0 ms	332 KB	Output is correct
49	Correct	1 ms	332 KB	Output is correct
50	Correct	0 ms	332 KB	Output is correct
51	Correct	0 ms	332 KB	Output is correct
52	Correct	0 ms	332 KB	Output is correct
53	Correct	0 ms	332 KB	Output is correct
54	Correct	7 ms	1720 KB	Output is correct
55	Correct	7 ms	1716 KB	Output is correct
56	Correct	7 ms	1744 KB	Output is correct
57	Correct	8 ms	1724 KB	Output is correct
58	Correct	6 ms	1736 KB	Output is correct
59	Correct	7 ms	1596 KB	Output is correct
60	Correct	6 ms	1476 KB	Output is correct
61	Correct	5 ms	1488 KB	Output is correct
62	Correct	5 ms	1352 KB	Output is correct
63	Correct	6 ms	1640 KB	Output is correct
64	Correct	6 ms	1744 KB	Output is correct
65	Correct	5 ms	1360 KB	Output is correct

Subtask #7

21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	316 KB	Output is correct
5	Correct	0 ms	316 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	1 ms	332 KB	Output is correct
8	Correct	1 ms	332 KB	Output is correct
9	Correct	0 ms	328 KB	Output is correct
10	Correct	0 ms	332 KB	Output is correct
11	Correct	1 ms	324 KB	Output is correct
12	Correct	0 ms	320 KB	Output is correct
13	Correct	0 ms	320 KB	Output is correct
14	Correct	0 ms	320 KB	Output is correct
15	Correct	0 ms	332 KB	Output is correct
16	Correct	151 ms	33436 KB	Output is correct
17	Correct	159 ms	33396 KB	Output is correct
18	Correct	185 ms	33280 KB	Output is correct
19	Correct	177 ms	33368 KB	Output is correct
20	Correct	176 ms	33832 KB	Output is correct
21	Correct	180 ms	32780 KB	Output is correct
22	Correct	180 ms	32724 KB	Output is correct
23	Correct	173 ms	33396 KB	Output is correct
24	Correct	182 ms	33956 KB	Output is correct
25	Correct	170 ms	32676 KB	Output is correct
26	Correct	173 ms	32680 KB	Output is correct
27	Correct	151 ms	33424 KB	Output is correct
28	Correct	168 ms	32764 KB	Output is correct
29	Correct	149 ms	33416 KB	Output is correct
30	Correct	144 ms	33416 KB	Output is correct
31	Correct	147 ms	33976 KB	Output is correct
32	Correct	164 ms	33956 KB	Output is correct
33	Correct	151 ms	33472 KB	Output is correct
34	Correct	145 ms	33480 KB	Output is correct
35	Correct	163 ms	33328 KB	Output is correct
36	Correct	0 ms	332 KB	Output is correct
37	Correct	4 ms	1268 KB	Output is correct
38	Correct	4 ms	1228 KB	Output is correct
39	Correct	4 ms	1220 KB	Output is correct
40	Correct	4 ms	1232 KB	Output is correct
41	Correct	4 ms	1296 KB	Output is correct
42	Correct	4 ms	1360 KB	Output is correct
43	Correct	0 ms	332 KB	Output is correct
44	Correct	1 ms	324 KB	Output is correct
45	Correct	1 ms	332 KB	Output is correct
46	Correct	0 ms	332 KB	Output is correct
47	Correct	1 ms	332 KB	Output is correct
48	Correct	1 ms	332 KB	Output is correct
49	Correct	7 ms	1604 KB	Output is correct
50	Correct	7 ms	1616 KB	Output is correct
51	Correct	7 ms	1484 KB	Output is correct
52	Correct	7 ms	1616 KB	Output is correct
53	Correct	7 ms	1596 KB	Output is correct
54	Correct	5 ms	1488 KB	Output is correct
55	Correct	6 ms	1356 KB	Output is correct
56	Correct	6 ms	1360 KB	Output is correct
57	Correct	5 ms	1232 KB	Output is correct
58	Correct	4 ms	1228 KB	Output is correct
59	Correct	4 ms	1360 KB	Output is correct
60	Correct	4 ms	1236 KB	Output is correct
61	Correct	0 ms	332 KB	Output is correct
62	Correct	138 ms	29240 KB	Output is correct
63	Correct	137 ms	28952 KB	Output is correct
64	Correct	134 ms	28644 KB	Output is correct
65	Correct	140 ms	28716 KB	Output is correct
66	Correct	141 ms	29256 KB	Output is correct
67	Correct	143 ms	28944 KB	Output is correct
68	Correct	0 ms	332 KB	Output is correct
69	Correct	1 ms	332 KB	Output is correct
70	Correct	0 ms	332 KB	Output is correct
71	Correct	0 ms	332 KB	Output is correct
72	Correct	1 ms	332 KB	Output is correct
73	Correct	0 ms	332 KB	Output is correct
74	Correct	253 ms	33740 KB	Output is correct
75	Correct	268 ms	34088 KB	Output is correct
76	Correct	253 ms	34272 KB	Output is correct
77	Correct	252 ms	33424 KB	Output is correct
78	Correct	261 ms	36616 KB	Output is correct
79	Correct	174 ms	36140 KB	Output is correct
80	Correct	187 ms	36308 KB	Output is correct
81	Correct	153 ms	29376 KB	Output is correct
82	Correct	164 ms	30696 KB	Output is correct
83	Correct	167 ms	30756 KB	Output is correct
84	Correct	133 ms	28512 KB	Output is correct
85	Correct	135 ms	28984 KB	Output is correct
86	Correct	142 ms	28972 KB	Output is correct
87	Correct	147 ms	28712 KB	Output is correct
88	Correct	0 ms	332 KB	Output is correct
89	Correct	0 ms	332 KB	Output is correct
90	Correct	0 ms	332 KB	Output is correct
91	Correct	0 ms	332 KB	Output is correct
92	Correct	0 ms	332 KB	Output is correct
93	Correct	1 ms	324 KB	Output is correct
94	Correct	1 ms	332 KB	Output is correct
95	Correct	1 ms	332 KB	Output is correct
96	Correct	1 ms	324 KB	Output is correct
97	Correct	1 ms	332 KB	Output is correct
98	Correct	0 ms	332 KB	Output is correct
99	Correct	0 ms	332 KB	Output is correct
100	Correct	0 ms	320 KB	Output is correct
101	Correct	0 ms	320 KB	Output is correct
102	Correct	1 ms	332 KB	Output is correct
103	Correct	0 ms	332 KB	Output is correct
104	Correct	5 ms	1352 KB	Output is correct
105	Correct	5 ms	1468 KB	Output is correct
106	Correct	5 ms	1456 KB	Output is correct
107	Correct	5 ms	1452 KB	Output is correct
108	Correct	5 ms	1696 KB	Output is correct
109	Correct	5 ms	1508 KB	Output is correct
110	Correct	0 ms	332 KB	Output is correct
111	Correct	1 ms	332 KB	Output is correct
112	Correct	0 ms	332 KB	Output is correct
113	Correct	0 ms	332 KB	Output is correct
114	Correct	0 ms	332 KB	Output is correct
115	Correct	0 ms	332 KB	Output is correct
116	Correct	7 ms	1720 KB	Output is correct
117	Correct	7 ms	1716 KB	Output is correct
118	Correct	7 ms	1744 KB	Output is correct
119	Correct	8 ms	1724 KB	Output is correct
120	Correct	6 ms	1736 KB	Output is correct
121	Correct	7 ms	1596 KB	Output is correct
122	Correct	6 ms	1476 KB	Output is correct
123	Correct	5 ms	1488 KB	Output is correct
124	Correct	5 ms	1352 KB	Output is correct
125	Correct	6 ms	1640 KB	Output is correct
126	Correct	6 ms	1744 KB	Output is correct
127	Correct	5 ms	1360 KB	Output is correct
128	Correct	0 ms	332 KB	Output is correct
129	Correct	165 ms	38844 KB	Output is correct
130	Correct	147 ms	33060 KB	Output is correct
131	Correct	153 ms	33696 KB	Output is correct
132	Correct	151 ms	33012 KB	Output is correct
133	Correct	145 ms	33048 KB	Output is correct
134	Correct	147 ms	33584 KB	Output is correct
135	Correct	1 ms	332 KB	Output is correct
136	Correct	0 ms	332 KB	Output is correct
137	Correct	0 ms	332 KB	Output is correct
138	Correct	0 ms	332 KB	Output is correct
139	Correct	0 ms	332 KB	Output is correct
140	Correct	0 ms	332 KB	Output is correct
141	Correct	297 ms	41964 KB	Output is correct
142	Correct	293 ms	41560 KB	Output is correct
143	Correct	276 ms	41992 KB	Output is correct
144	Correct	289 ms	41880 KB	Output is correct
145	Correct	301 ms	41896 KB	Output is correct
146	Correct	227 ms	37140 KB	Output is correct
147	Correct	180 ms	35780 KB	Output is correct
148	Correct	206 ms	36648 KB	Output is correct
149	Correct	159 ms	33060 KB	Output is correct
150	Correct	169 ms	33176 KB	Output is correct
151	Correct	146 ms	33352 KB	Output is correct
152	Correct	160 ms	32972 KB	Output is correct
153	Correct	159 ms	32940 KB	Output is correct
154	Correct	164 ms	32924 KB	Output is correct
155	Correct	161 ms	33072 KB	Output is correct