Submission #863177

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
863177	2023-10-19T17:54:22 Z	KiaRez	The short shank; Redemption (BOI21_prison)	C++17	80 / 100	2000 ms	83568 KB

prison

/*
    IN THE NAME OF GOD
*/
#include <bits/stdc++.h>

//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef long double ld;

#define F                                      first
#define S                                      second
#define Mp                                     make_pair
#define pb                                     push_back
#define pf                                     push_front
#define size(x)                                ((ll)x.size())
#define all(x)                                 (x).begin(),(x).end()
#define kill(x)		                           cout << x << '\n', exit(0);
#define fuck(x)                                cout << "(" << #x << " , " << x << ")" << endl
#define endl                                   '\n'

const int N = 1e6+23, lg = 21;
ll Mod = 1e9+7; //998244353;

int n, d, T, t[2*N], ans, seg[5*N], res[2*N], l[2*N];
int lazy[5*N], seg2[5*N];

void update2(int ind, int val) {
	seg[ind] = val;
	ind/=2;
	while(ind > 0) {
		seg[ind] = min(seg[2*ind], seg[2*ind+1]);
		ind/=2;
	}
}

int find(int val, int ind=1) {
	if(seg[ind] > val) return 0;
	if(ind >= (1<<lg)) {
		return (ind-(1<<lg)+1);
	}
	if(seg[2*ind+1] <= val) return find(val, 2*ind+1);
	return find(val, 2*ind);
}

void pushdown(int ind) {
	seg[ind] += lazy[ind];
	if(ind < (1<<lg)) {
		lazy[2*ind] += lazy[ind];
		lazy[2*ind+1] += lazy[ind];
	}
	lazy[ind] = 0;
}

void update(int l, int r, int val, int ind=1, int lc=1, int rc=(1<<lg)+1) {
	pushdown(ind);
	if(r<=lc || rc<=l) return;
	if(lc>=l && rc<=r) {
		lazy[ind] += val;
		pushdown(ind);
		return;
	}
	int mid = (lc+rc)/2;
	update(l, r, val, 2*ind, lc, mid);
	update(l, r, val, 2*ind+1, mid, rc);
	seg[ind] = max(seg[2*ind], seg[2*ind+1]);
}

int query(int ind=1, int lc=1, int rc=(1<<lg)+1) {
	pushdown(ind);
	if(ind >= (1<<lg)) {
		return lc;
	}
	int mid = (lc+rc)/2;
	if(seg[ind] == lazy[2*ind]+seg[2*ind]) {
		return query(2*ind, lc, mid);
	}
	return query(2*ind+1, mid, rc);
}

void update3(int ind, int val) {
	seg2[ind] = val;
	ind/=2;
	while(ind > 0) {
		seg2[ind] = (l[seg2[2*ind]]<l[seg2[2*ind+1]] ? seg2[2*ind] : seg2[2*ind+1]);
		ind/=2;
	}
}

int query3(int l2, int r, int ind=1, int lc=1, int rc=(1<<lg)+1) {
	if(lc>=r || l2>=rc) return 0;
	if(lc>=l2 && rc<=r) {
		return seg2[ind];
	}
	int mid = (lc+rc)/2;
	int x = query3(l2, r, 2*ind, lc, mid), y = query3(l2, r, 2*ind+1, mid, rc);
	return (l[x]<l[y] ? x : y);
}

int main () {
	ios_base::sync_with_stdio(false), cin.tie(0);

	cin>>n>>d>>T;
	
	l[0] = n+1;
	for(int i=1; i<=n; i++) {cin>>t[i];}
	fill(seg, seg+5*N, (int)2e9);

	for(int i=1; i<=n; i++) {
		update2(i+(1<<lg)-1, t[i]-i);
		int j = find(T-i);
		if(j==0 || j == i) {
			l[i] = n+1;
			ans+=(j<i);
		} else {
			l[i] = j+1;
		}
	}

	fill(seg, seg+5*N, 0);
	for(int i=1; i<=n; i++) {
		if(l[i] > n) continue;
		update(l[i], i+1, 1);
		update3(i+(1<<lg)-1, i);
	}

	for(int i=1; i<=d; i++) {
		int wh = query();
		if(seg[(1<<lg)+wh-1] == 0) break;
		ans += seg[(1<<lg)+wh-1];
		while(true) {
			int ff = query3(wh, n+1);
			if(l[ff] > wh) break;
			update(l[ff], ff+1, -1);
			l[ff] = n+1;
			update3(ff+(1<<lg)-1, ff);
		}
	}

	cout<<n-ans<<endl;

	return 0;
}

Subtask #1

15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	37468 KB	Output is correct
2	Correct	7 ms	37468 KB	Output is correct
3	Correct	6 ms	37464 KB	Output is correct
4	Correct	7 ms	37624 KB	Output is correct
5	Correct	7 ms	37464 KB	Output is correct
6	Correct	10 ms	37468 KB	Output is correct
7	Correct	7 ms	37468 KB	Output is correct
8	Correct	8 ms	37360 KB	Output is correct
9	Correct	7 ms	37468 KB	Output is correct
10	Correct	7 ms	37468 KB	Output is correct
11	Correct	7 ms	37332 KB	Output is correct

Subtask #2

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	37376 KB	Output is correct
2	Correct	214 ms	50852 KB	Output is correct
3	Correct	165 ms	50488 KB	Output is correct
4	Correct	209 ms	50000 KB	Output is correct
5	Correct	213 ms	49272 KB	Output is correct
6	Correct	198 ms	48208 KB	Output is correct
7	Correct	751 ms	50408 KB	Output is correct
8	Correct	224 ms	50372 KB	Output is correct

Subtask #3

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	37468 KB	Output is correct
2	Correct	7 ms	37468 KB	Output is correct
3	Correct	6 ms	37464 KB	Output is correct
4	Correct	7 ms	37624 KB	Output is correct
5	Correct	7 ms	37464 KB	Output is correct
6	Correct	10 ms	37468 KB	Output is correct
7	Correct	7 ms	37468 KB	Output is correct
8	Correct	8 ms	37360 KB	Output is correct
9	Correct	7 ms	37468 KB	Output is correct
10	Correct	7 ms	37468 KB	Output is correct
11	Correct	7 ms	37332 KB	Output is correct
12	Correct	7 ms	37468 KB	Output is correct
13	Correct	8 ms	37360 KB	Output is correct
14	Correct	9 ms	37464 KB	Output is correct
15	Correct	9 ms	37468 KB	Output is correct
16	Correct	7 ms	37468 KB	Output is correct
17	Correct	7 ms	37468 KB	Output is correct
18	Correct	7 ms	37468 KB	Output is correct
19	Correct	7 ms	37468 KB	Output is correct
20	Correct	7 ms	37468 KB	Output is correct
21	Correct	7 ms	37468 KB	Output is correct
22	Correct	7 ms	37468 KB	Output is correct
23	Correct	12 ms	37468 KB	Output is correct
24	Correct	9 ms	37468 KB	Output is correct
25	Correct	12 ms	37468 KB	Output is correct
26	Correct	11 ms	37380 KB	Output is correct
27	Correct	10 ms	37468 KB	Output is correct
28	Correct	8 ms	37468 KB	Output is correct
29	Correct	12 ms	37468 KB	Output is correct
30	Correct	8 ms	37464 KB	Output is correct
31	Correct	12 ms	37468 KB	Output is correct
32	Correct	11 ms	37404 KB	Output is correct
33	Correct	8 ms	37468 KB	Output is correct
34	Correct	9 ms	37468 KB	Output is correct
35	Correct	10 ms	37356 KB	Output is correct

Subtask #4

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	37468 KB	Output is correct
2	Correct	44 ms	41980 KB	Output is correct
3	Correct	34 ms	42072 KB	Output is correct
4	Correct	80 ms	42052 KB	Output is correct
5	Correct	84 ms	42064 KB	Output is correct
6	Correct	83 ms	42068 KB	Output is correct
7	Correct	51 ms	42064 KB	Output is correct
8	Correct	48 ms	41940 KB	Output is correct
9	Correct	108 ms	42064 KB	Output is correct
10	Correct	42 ms	42064 KB	Output is correct

Subtask #5

25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	37468 KB	Output is correct
2	Correct	7 ms	37468 KB	Output is correct
3	Correct	6 ms	37464 KB	Output is correct
4	Correct	7 ms	37624 KB	Output is correct
5	Correct	7 ms	37464 KB	Output is correct
6	Correct	10 ms	37468 KB	Output is correct
7	Correct	7 ms	37468 KB	Output is correct
8	Correct	8 ms	37360 KB	Output is correct
9	Correct	7 ms	37468 KB	Output is correct
10	Correct	7 ms	37468 KB	Output is correct
11	Correct	7 ms	37332 KB	Output is correct
12	Correct	7 ms	37468 KB	Output is correct
13	Correct	8 ms	37360 KB	Output is correct
14	Correct	9 ms	37464 KB	Output is correct
15	Correct	9 ms	37468 KB	Output is correct
16	Correct	7 ms	37468 KB	Output is correct
17	Correct	7 ms	37468 KB	Output is correct
18	Correct	7 ms	37468 KB	Output is correct
19	Correct	7 ms	37468 KB	Output is correct
20	Correct	7 ms	37468 KB	Output is correct
21	Correct	7 ms	37468 KB	Output is correct
22	Correct	7 ms	37468 KB	Output is correct
23	Correct	12 ms	37468 KB	Output is correct
24	Correct	9 ms	37468 KB	Output is correct
25	Correct	12 ms	37468 KB	Output is correct
26	Correct	11 ms	37380 KB	Output is correct
27	Correct	10 ms	37468 KB	Output is correct
28	Correct	8 ms	37468 KB	Output is correct
29	Correct	12 ms	37468 KB	Output is correct
30	Correct	8 ms	37464 KB	Output is correct
31	Correct	12 ms	37468 KB	Output is correct
32	Correct	11 ms	37404 KB	Output is correct
33	Correct	8 ms	37468 KB	Output is correct
34	Correct	9 ms	37468 KB	Output is correct
35	Correct	10 ms	37356 KB	Output is correct
36	Correct	6 ms	37468 KB	Output is correct
37	Correct	44 ms	41980 KB	Output is correct
38	Correct	34 ms	42072 KB	Output is correct
39	Correct	80 ms	42052 KB	Output is correct
40	Correct	84 ms	42064 KB	Output is correct
41	Correct	83 ms	42068 KB	Output is correct
42	Correct	51 ms	42064 KB	Output is correct
43	Correct	48 ms	41940 KB	Output is correct
44	Correct	108 ms	42064 KB	Output is correct
45	Correct	42 ms	42064 KB	Output is correct
46	Correct	9 ms	37464 KB	Output is correct
47	Correct	9 ms	37464 KB	Output is correct
48	Correct	7 ms	37468 KB	Output is correct
49	Correct	7 ms	37468 KB	Output is correct
50	Correct	7 ms	37468 KB	Output is correct
51	Correct	7 ms	37328 KB	Output is correct
52	Correct	7 ms	37468 KB	Output is correct
53	Correct	7 ms	37468 KB	Output is correct
54	Correct	7 ms	37720 KB	Output is correct
55	Correct	9 ms	37468 KB	Output is correct
56	Correct	8 ms	37468 KB	Output is correct
57	Correct	9 ms	37468 KB	Output is correct
58	Correct	8 ms	37464 KB	Output is correct
59	Correct	9 ms	37468 KB	Output is correct
60	Correct	9 ms	37468 KB	Output is correct
61	Correct	10 ms	37488 KB	Output is correct
62	Correct	8 ms	37468 KB	Output is correct
63	Correct	8 ms	37468 KB	Output is correct
64	Correct	8 ms	37348 KB	Output is correct
65	Correct	12 ms	37464 KB	Output is correct
66	Correct	8 ms	37396 KB	Output is correct
67	Correct	8 ms	37468 KB	Output is correct
68	Correct	12 ms	37468 KB	Output is correct
69	Correct	10 ms	37464 KB	Output is correct
70	Correct	7 ms	37468 KB	Output is correct
71	Correct	43 ms	42068 KB	Output is correct
72	Correct	34 ms	42068 KB	Output is correct
73	Correct	77 ms	42068 KB	Output is correct
74	Correct	93 ms	41988 KB	Output is correct
75	Correct	84 ms	42116 KB	Output is correct
76	Correct	36 ms	42068 KB	Output is correct
77	Correct	33 ms	42072 KB	Output is correct
78	Correct	106 ms	42068 KB	Output is correct
79	Correct	36 ms	41992 KB	Output is correct
80	Correct	47 ms	41976 KB	Output is correct
81	Correct	62 ms	42068 KB	Output is correct
82	Correct	55 ms	42064 KB	Output is correct
83	Correct	70 ms	41820 KB	Output is correct
84	Correct	61 ms	41808 KB	Output is correct
85	Correct	90 ms	42068 KB	Output is correct
86	Correct	66 ms	42076 KB	Output is correct
87	Correct	53 ms	42068 KB	Output is correct
88	Correct	141 ms	42128 KB	Output is correct
89	Correct	116 ms	42136 KB	Output is correct
90	Correct	101 ms	42084 KB	Output is correct

Subtask #6

0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	37468 KB	Output is correct
2	Correct	7 ms	37468 KB	Output is correct
3	Correct	6 ms	37464 KB	Output is correct
4	Correct	7 ms	37624 KB	Output is correct
5	Correct	7 ms	37464 KB	Output is correct
6	Correct	10 ms	37468 KB	Output is correct
7	Correct	7 ms	37468 KB	Output is correct
8	Correct	8 ms	37360 KB	Output is correct
9	Correct	7 ms	37468 KB	Output is correct
10	Correct	7 ms	37468 KB	Output is correct
11	Correct	7 ms	37332 KB	Output is correct
12	Correct	9 ms	37376 KB	Output is correct
13	Correct	214 ms	50852 KB	Output is correct
14	Correct	165 ms	50488 KB	Output is correct
15	Correct	209 ms	50000 KB	Output is correct
16	Correct	213 ms	49272 KB	Output is correct
17	Correct	198 ms	48208 KB	Output is correct
18	Correct	751 ms	50408 KB	Output is correct
19	Correct	224 ms	50372 KB	Output is correct
20	Correct	7 ms	37468 KB	Output is correct
21	Correct	8 ms	37360 KB	Output is correct
22	Correct	9 ms	37464 KB	Output is correct
23	Correct	9 ms	37468 KB	Output is correct
24	Correct	7 ms	37468 KB	Output is correct
25	Correct	7 ms	37468 KB	Output is correct
26	Correct	7 ms	37468 KB	Output is correct
27	Correct	7 ms	37468 KB	Output is correct
28	Correct	7 ms	37468 KB	Output is correct
29	Correct	7 ms	37468 KB	Output is correct
30	Correct	7 ms	37468 KB	Output is correct
31	Correct	12 ms	37468 KB	Output is correct
32	Correct	9 ms	37468 KB	Output is correct
33	Correct	12 ms	37468 KB	Output is correct
34	Correct	11 ms	37380 KB	Output is correct
35	Correct	10 ms	37468 KB	Output is correct
36	Correct	8 ms	37468 KB	Output is correct
37	Correct	12 ms	37468 KB	Output is correct
38	Correct	8 ms	37464 KB	Output is correct
39	Correct	12 ms	37468 KB	Output is correct
40	Correct	11 ms	37404 KB	Output is correct
41	Correct	8 ms	37468 KB	Output is correct
42	Correct	9 ms	37468 KB	Output is correct
43	Correct	10 ms	37356 KB	Output is correct
44	Correct	6 ms	37468 KB	Output is correct
45	Correct	44 ms	41980 KB	Output is correct
46	Correct	34 ms	42072 KB	Output is correct
47	Correct	80 ms	42052 KB	Output is correct
48	Correct	84 ms	42064 KB	Output is correct
49	Correct	83 ms	42068 KB	Output is correct
50	Correct	51 ms	42064 KB	Output is correct
51	Correct	48 ms	41940 KB	Output is correct
52	Correct	108 ms	42064 KB	Output is correct
53	Correct	42 ms	42064 KB	Output is correct
54	Correct	9 ms	37464 KB	Output is correct
55	Correct	9 ms	37464 KB	Output is correct
56	Correct	7 ms	37468 KB	Output is correct
57	Correct	7 ms	37468 KB	Output is correct
58	Correct	7 ms	37468 KB	Output is correct
59	Correct	7 ms	37328 KB	Output is correct
60	Correct	7 ms	37468 KB	Output is correct
61	Correct	7 ms	37468 KB	Output is correct
62	Correct	7 ms	37720 KB	Output is correct
63	Correct	9 ms	37468 KB	Output is correct
64	Correct	8 ms	37468 KB	Output is correct
65	Correct	9 ms	37468 KB	Output is correct
66	Correct	8 ms	37464 KB	Output is correct
67	Correct	9 ms	37468 KB	Output is correct
68	Correct	9 ms	37468 KB	Output is correct
69	Correct	10 ms	37488 KB	Output is correct
70	Correct	8 ms	37468 KB	Output is correct
71	Correct	8 ms	37468 KB	Output is correct
72	Correct	8 ms	37348 KB	Output is correct
73	Correct	12 ms	37464 KB	Output is correct
74	Correct	8 ms	37396 KB	Output is correct
75	Correct	8 ms	37468 KB	Output is correct
76	Correct	12 ms	37468 KB	Output is correct
77	Correct	10 ms	37464 KB	Output is correct
78	Correct	7 ms	37468 KB	Output is correct
79	Correct	43 ms	42068 KB	Output is correct
80	Correct	34 ms	42068 KB	Output is correct
81	Correct	77 ms	42068 KB	Output is correct
82	Correct	93 ms	41988 KB	Output is correct
83	Correct	84 ms	42116 KB	Output is correct
84	Correct	36 ms	42068 KB	Output is correct
85	Correct	33 ms	42072 KB	Output is correct
86	Correct	106 ms	42068 KB	Output is correct
87	Correct	36 ms	41992 KB	Output is correct
88	Correct	47 ms	41976 KB	Output is correct
89	Correct	62 ms	42068 KB	Output is correct
90	Correct	55 ms	42064 KB	Output is correct
91	Correct	70 ms	41820 KB	Output is correct
92	Correct	61 ms	41808 KB	Output is correct
93	Correct	90 ms	42068 KB	Output is correct
94	Correct	66 ms	42076 KB	Output is correct
95	Correct	53 ms	42068 KB	Output is correct
96	Correct	141 ms	42128 KB	Output is correct
97	Correct	116 ms	42136 KB	Output is correct
98	Correct	101 ms	42084 KB	Output is correct
99	Correct	6 ms	37468 KB	Output is correct
100	Correct	7 ms	37392 KB	Output is correct
101	Correct	9 ms	37468 KB	Output is correct
102	Correct	7 ms	37468 KB	Output is correct
103	Correct	7 ms	37356 KB	Output is correct
104	Correct	7 ms	37468 KB	Output is correct
105	Correct	7 ms	37468 KB	Output is correct
106	Correct	8 ms	37468 KB	Output is correct
107	Correct	7 ms	37468 KB	Output is correct
108	Correct	7 ms	37468 KB	Output is correct
109	Correct	7 ms	37464 KB	Output is correct
110	Correct	7 ms	37468 KB	Output is correct
111	Correct	186 ms	50784 KB	Output is correct
112	Correct	164 ms	50920 KB	Output is correct
113	Correct	209 ms	50040 KB	Output is correct
114	Correct	206 ms	49156 KB	Output is correct
115	Correct	214 ms	48208 KB	Output is correct
116	Correct	762 ms	50404 KB	Output is correct
117	Correct	225 ms	50260 KB	Output is correct
118	Correct	9 ms	37464 KB	Output is correct
119	Correct	12 ms	37464 KB	Output is correct
120	Correct	11 ms	37464 KB	Output is correct
121	Correct	9 ms	37468 KB	Output is correct
122	Correct	9 ms	37348 KB	Output is correct
123	Correct	8 ms	37468 KB	Output is correct
124	Correct	9 ms	37380 KB	Output is correct
125	Correct	8 ms	37404 KB	Output is correct
126	Correct	9 ms	37468 KB	Output is correct
127	Correct	8 ms	37464 KB	Output is correct
128	Correct	8 ms	37468 KB	Output is correct
129	Correct	9 ms	37468 KB	Output is correct
130	Correct	10 ms	37348 KB	Output is correct
131	Correct	6 ms	37348 KB	Output is correct
132	Correct	46 ms	42064 KB	Output is correct
133	Correct	34 ms	42128 KB	Output is correct
134	Correct	66 ms	42036 KB	Output is correct
135	Correct	81 ms	42128 KB	Output is correct
136	Correct	83 ms	42068 KB	Output is correct
137	Correct	36 ms	42068 KB	Output is correct
138	Correct	34 ms	41956 KB	Output is correct
139	Correct	108 ms	42068 KB	Output is correct
140	Correct	42 ms	41984 KB	Output is correct
141	Correct	46 ms	41988 KB	Output is correct
142	Correct	66 ms	42068 KB	Output is correct
143	Correct	59 ms	42124 KB	Output is correct
144	Correct	69 ms	41808 KB	Output is correct
145	Correct	60 ms	41840 KB	Output is correct
146	Correct	113 ms	42132 KB	Output is correct
147	Correct	67 ms	42060 KB	Output is correct
148	Correct	51 ms	42124 KB	Output is correct
149	Correct	95 ms	42080 KB	Output is correct
150	Correct	148 ms	42064 KB	Output is correct
151	Correct	99 ms	42064 KB	Output is correct
152	Correct	758 ms	83568 KB	Output is correct
153	Correct	820 ms	81208 KB	Output is correct
154	Correct	710 ms	81388 KB	Output is correct
155	Correct	1447 ms	80576 KB	Output is correct
156	Correct	1312 ms	75504 KB	Output is correct
157	Correct	577 ms	78052 KB	Output is correct
158	Correct	961 ms	82516 KB	Output is correct
159	Execution timed out	2081 ms	81972 KB	Time limit exceeded
160	Halted	0 ms	0 KB	-