oj.uz

Submission #824981

# Submission time Handle Problem Language Result Execution time Memory
824981 2023-08-14T12:50:06 Z phoenix Financial Report (JOI21_financial) C++17
100 / 100
 543 ms 42100 KB 
#include<bits/stdc++.h>

using namespace std;
using ll = long long;

const int N = (1 << 19);
const int INF = 1e9;

int n, d;
int a[N];
vector<int> mx(2 * N, -INF);

void update(int pos, int val) {
    for(mx[pos += N] = val; pos > 1; pos >>= 1) {
        mx[pos >> 1] = max(mx[pos], mx[(pos ^ 1)]);
    }
}
// last index i < qr a[i] > val
int left_bound(int qr, int val, int l = 0, int r = N - 1, int v = 1) {
    if(l >= qr || mx[v] <= val)
        return -1;
    if(l == r) 
        return l;
    int m = (l + r) / 2;
    int res = left_bound(qr, val, m + 1, r, 2 * v + 1);
    if(res == -1) res = left_bound(qr, val, l, m, 2 * v);
    return res;
}
// first index i > ql a[i] > val
int right_bound(int ql, int val, int l = 0, int r = N - 1, int v = 1) {
    if(r <= ql || mx[v] <= val)
        return -1;
    if(l == r) 
        return l;
    int m = (l + r) / 2;
    int res = right_bound(ql, val, l, m, 2 * v);
    if(res == -1) res = right_bound(ql, val, m + 1, r, 2 * v + 1);
    return res;
}

void add(int pos) {
    // cout << "add: \n";
    int lb = left_bound(pos, -INF), rb = right_bound(pos, -INF);
    // cout << pos << ' ' << lb << ' ' << rb << '\n';
    if(rb != -1) update(rb, rb - pos);
    update(pos, (lb != -1 ? pos - lb : 0));
}
int get_rb(int pos) {
    int x = right_bound(pos, d);
    if(x == -1) x = n + 1;
    return min(left_bound(x, -INF) + d, n);
}

int st[2 * N];
void insert(int pos, int val, int i) {
    for(st[pos += N] = val; pos > 1; pos >>= 1) {
        st[pos >> 1] = max(st[pos], st[(pos ^ 1)]); 
    }        
}
void erase(int pos, int val, int i) {
    for(st[pos += N] = 0; pos > 1; pos >>= 1) {
        st[pos >> 1] = max(st[pos], st[(pos ^ 1)]); 
    }        
}
int get(int ql, int qr) {
    int res = 0;
    for(ql += N, qr += N + 1; ql < qr; ql >>= 1, qr >>= 1) {
        if(ql & 1) {
            res = max(res, st[ql]);
            ql++;
        }
        if(qr & 1) {
            qr--;
            res = max(res, st[qr]);
        }
    }
    return res;
}
vector<int> cl[N];

void compress() {
    map<int, int> mp;
    for(int i = 1; i <= n; i++) 
        mp[a[i]] = 1;
    int k = 0;
    for(auto &c : mp) 
        c.second = k++;
    for(int i = 1; i <= n; i++) 
        a[i] = mp[a[i]];
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin >> n >> d;
    for(int i = 1; i <= n; i++) 
        cin >> a[i];
    compress();
    vector<pair<int, int>> order;
    for(int i = 1; i <= n; i++) {
        order.push_back({a[i], i});
    }
    int rb[n + 1] = {}, b[n + 1];
    sort(order.begin(), order.end(), [](pair<int, int> x, pair<int, int> y) {
        if(x.first == y.first) return x.second > y.second;
        return x.first < y.first;
    });
    
    int ki = 0;
    for(auto [a, i] : order) {
        add(i);
        rb[i] = get_rb(i);
        b[i] = ki++;
    }
    vector<int> dp(n + 1, 1);
    for(int i = 1; i <= n; i++) {
        for(int j : cl[i]) 
            erase(b[j], dp[j], j);
        dp[i] = get(0, b[i] - 1) + 1;
        insert(b[i], dp[i], i);
        cl[rb[i] + 1].push_back(i);
    }
    cout << *max_element(dp.begin(), dp.end());
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 9 ms 16724 KB Output is correct
3 Correct 8 ms 16724 KB Output is correct
4 Correct 9 ms 16916 KB Output is correct
5 Correct 9 ms 16708 KB Output is correct
6 Correct 8 ms 16772 KB Output is correct
7 Correct 7 ms 16724 KB Output is correct
8 Correct 8 ms 16768 KB Output is correct
9 Correct 7 ms 16724 KB Output is correct
10 Correct 7 ms 16724 KB Output is correct
11 Correct 7 ms 16768 KB Output is correct
12 Correct 9 ms 16724 KB Output is correct
13 Correct 7 ms 16724 KB Output is correct
14 Correct 7 ms 16724 KB Output is correct
15 Correct 7 ms 16704 KB Output is correct
16 Correct 7 ms 16724 KB Output is correct
17 Correct 7 ms 16756 KB Output is correct
18 Correct 7 ms 16724 KB Output is correct
19 Correct 7 ms 16768 KB Output is correct
20 Correct 8 ms 16784 KB Output is correct
21 Correct 7 ms 16724 KB Output is correct
22 Correct 8 ms 16724 KB Output is correct
23 Correct 7 ms 16724 KB Output is correct
24 Correct 9 ms 16712 KB Output is correct
25 Correct 8 ms 16788 KB Output is correct
26 Correct 8 ms 16768 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 9 ms 16724 KB Output is correct
3 Correct 8 ms 16724 KB Output is correct
4 Correct 9 ms 16916 KB Output is correct
5 Correct 9 ms 16708 KB Output is correct
6 Correct 8 ms 16772 KB Output is correct
7 Correct 7 ms 16724 KB Output is correct
8 Correct 8 ms 16768 KB Output is correct
9 Correct 7 ms 16724 KB Output is correct
10 Correct 7 ms 16724 KB Output is correct
11 Correct 7 ms 16768 KB Output is correct
12 Correct 9 ms 16724 KB Output is correct
13 Correct 7 ms 16724 KB Output is correct
14 Correct 7 ms 16724 KB Output is correct
15 Correct 7 ms 16704 KB Output is correct
16 Correct 7 ms 16724 KB Output is correct
17 Correct 7 ms 16756 KB Output is correct
18 Correct 7 ms 16724 KB Output is correct
19 Correct 7 ms 16768 KB Output is correct
20 Correct 8 ms 16784 KB Output is correct
21 Correct 7 ms 16724 KB Output is correct
22 Correct 8 ms 16724 KB Output is correct
23 Correct 7 ms 16724 KB Output is correct
24 Correct 9 ms 16712 KB Output is correct
25 Correct 8 ms 16788 KB Output is correct
26 Correct 8 ms 16768 KB Output is correct
27 Correct 8 ms 16724 KB Output is correct
28 Correct 8 ms 16724 KB Output is correct
29 Correct 8 ms 16756 KB Output is correct
30 Correct 7 ms 16724 KB Output is correct
31 Correct 7 ms 16764 KB Output is correct
32 Correct 8 ms 16740 KB Output is correct
33 Correct 7 ms 16724 KB Output is correct
34 Correct 9 ms 16768 KB Output is correct
35 Correct 8 ms 16720 KB Output is correct
36 Correct 7 ms 16724 KB Output is correct
37 Correct 8 ms 16824 KB Output is correct
38 Correct 8 ms 16724 KB Output is correct
39 Correct 9 ms 16808 KB Output is correct
40 Correct 8 ms 16796 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 9 ms 16724 KB Output is correct
3 Correct 8 ms 16724 KB Output is correct
4 Correct 9 ms 16916 KB Output is correct
5 Correct 9 ms 16708 KB Output is correct
6 Correct 8 ms 16772 KB Output is correct
7 Correct 7 ms 16724 KB Output is correct
8 Correct 8 ms 16768 KB Output is correct
9 Correct 7 ms 16724 KB Output is correct
10 Correct 7 ms 16724 KB Output is correct
11 Correct 7 ms 16768 KB Output is correct
12 Correct 9 ms 16724 KB Output is correct
13 Correct 7 ms 16724 KB Output is correct
14 Correct 7 ms 16724 KB Output is correct
15 Correct 7 ms 16704 KB Output is correct
16 Correct 7 ms 16724 KB Output is correct
17 Correct 7 ms 16756 KB Output is correct
18 Correct 7 ms 16724 KB Output is correct
19 Correct 7 ms 16768 KB Output is correct
20 Correct 8 ms 16784 KB Output is correct
21 Correct 7 ms 16724 KB Output is correct
22 Correct 8 ms 16724 KB Output is correct
23 Correct 7 ms 16724 KB Output is correct
24 Correct 9 ms 16712 KB Output is correct
25 Correct 8 ms 16788 KB Output is correct
26 Correct 8 ms 16768 KB Output is correct
27 Correct 8 ms 16724 KB Output is correct
28 Correct 8 ms 16724 KB Output is correct
29 Correct 8 ms 16756 KB Output is correct
30 Correct 7 ms 16724 KB Output is correct
31 Correct 7 ms 16764 KB Output is correct
32 Correct 8 ms 16740 KB Output is correct
33 Correct 7 ms 16724 KB Output is correct
34 Correct 9 ms 16768 KB Output is correct
35 Correct 8 ms 16720 KB Output is correct
36 Correct 7 ms 16724 KB Output is correct
37 Correct 8 ms 16824 KB Output is correct
38 Correct 8 ms 16724 KB Output is correct
39 Correct 9 ms 16808 KB Output is correct
40 Correct 8 ms 16796 KB Output is correct
41 Correct 14 ms 17108 KB Output is correct
42 Correct 14 ms 17292 KB Output is correct
43 Correct 11 ms 17108 KB Output is correct
44 Correct 12 ms 17092 KB Output is correct
45 Correct 16 ms 17144 KB Output is correct
46 Correct 14 ms 17236 KB Output is correct
47 Correct 16 ms 17236 KB Output is correct
48 Correct 14 ms 17236 KB Output is correct
49 Correct 14 ms 17216 KB Output is correct
50 Correct 13 ms 17244 KB Output is correct
51 Correct 14 ms 17292 KB Output is correct
52 Correct 15 ms 17236 KB Output is correct
53 Correct 16 ms 17240 KB Output is correct
54 Correct 13 ms 17268 KB Output is correct
55 Correct 15 ms 17236 KB Output is correct
56 Correct 14 ms 17288 KB Output is correct
57 Correct 14 ms 17284 KB Output is correct
58 Correct 12 ms 17236 KB Output is correct
59 Correct 12 ms 17216 KB Output is correct
60 Correct 12 ms 17320 KB Output is correct
61 Correct 12 ms 17300 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 32220 KB Output is correct
2 Correct 236 ms 33012 KB Output is correct
3 Correct 289 ms 33876 KB Output is correct
4 Correct 478 ms 37504 KB Output is correct
5 Correct 417 ms 39556 KB Output is correct
6 Correct 472 ms 39628 KB Output is correct
7 Correct 247 ms 39992 KB Output is correct
8 Correct 216 ms 39496 KB Output is correct
9 Correct 238 ms 39560 KB Output is correct
10 Correct 264 ms 39556 KB Output is correct
11 Correct 405 ms 39612 KB Output is correct
12 Correct 428 ms 39552 KB Output is correct
13 Correct 430 ms 40204 KB Output is correct
14 Correct 498 ms 39560 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 152 ms 32516 KB Output is correct
2 Correct 214 ms 32216 KB Output is correct
3 Correct 251 ms 32360 KB Output is correct
4 Correct 425 ms 39560 KB Output is correct
5 Correct 365 ms 39568 KB Output is correct
6 Correct 468 ms 42100 KB Output is correct
7 Correct 230 ms 39584 KB Output is correct
8 Correct 228 ms 39628 KB Output is correct
9 Correct 238 ms 39424 KB Output is correct
10 Correct 323 ms 39500 KB Output is correct
11 Correct 419 ms 39648 KB Output is correct
12 Correct 336 ms 39628 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 9 ms 16724 KB Output is correct
3 Correct 8 ms 16724 KB Output is correct
4 Correct 9 ms 16916 KB Output is correct
5 Correct 9 ms 16708 KB Output is correct
6 Correct 8 ms 16772 KB Output is correct
7 Correct 7 ms 16724 KB Output is correct
8 Correct 8 ms 16768 KB Output is correct
9 Correct 7 ms 16724 KB Output is correct
10 Correct 7 ms 16724 KB Output is correct
11 Correct 7 ms 16768 KB Output is correct
12 Correct 9 ms 16724 KB Output is correct
13 Correct 7 ms 16724 KB Output is correct
14 Correct 7 ms 16724 KB Output is correct
15 Correct 7 ms 16704 KB Output is correct
16 Correct 7 ms 16724 KB Output is correct
17 Correct 7 ms 16756 KB Output is correct
18 Correct 7 ms 16724 KB Output is correct
19 Correct 7 ms 16768 KB Output is correct
20 Correct 8 ms 16784 KB Output is correct
21 Correct 7 ms 16724 KB Output is correct
22 Correct 8 ms 16724 KB Output is correct
23 Correct 7 ms 16724 KB Output is correct
24 Correct 9 ms 16712 KB Output is correct
25 Correct 8 ms 16788 KB Output is correct
26 Correct 8 ms 16768 KB Output is correct
27 Correct 8 ms 16724 KB Output is correct
28 Correct 8 ms 16724 KB Output is correct
29 Correct 8 ms 16756 KB Output is correct
30 Correct 7 ms 16724 KB Output is correct
31 Correct 7 ms 16764 KB Output is correct
32 Correct 8 ms 16740 KB Output is correct
33 Correct 7 ms 16724 KB Output is correct
34 Correct 9 ms 16768 KB Output is correct
35 Correct 8 ms 16720 KB Output is correct
36 Correct 7 ms 16724 KB Output is correct
37 Correct 8 ms 16824 KB Output is correct
38 Correct 8 ms 16724 KB Output is correct
39 Correct 9 ms 16808 KB Output is correct
40 Correct 8 ms 16796 KB Output is correct
41 Correct 14 ms 17108 KB Output is correct
42 Correct 14 ms 17292 KB Output is correct
43 Correct 11 ms 17108 KB Output is correct
44 Correct 12 ms 17092 KB Output is correct
45 Correct 16 ms 17144 KB Output is correct
46 Correct 14 ms 17236 KB Output is correct
47 Correct 16 ms 17236 KB Output is correct
48 Correct 14 ms 17236 KB Output is correct
49 Correct 14 ms 17216 KB Output is correct
50 Correct 13 ms 17244 KB Output is correct
51 Correct 14 ms 17292 KB Output is correct
52 Correct 15 ms 17236 KB Output is correct
53 Correct 16 ms 17240 KB Output is correct
54 Correct 13 ms 17268 KB Output is correct
55 Correct 15 ms 17236 KB Output is correct
56 Correct 14 ms 17288 KB Output is correct
57 Correct 14 ms 17284 KB Output is correct
58 Correct 12 ms 17236 KB Output is correct
59 Correct 12 ms 17216 KB Output is correct
60 Correct 12 ms 17320 KB Output is correct
61 Correct 12 ms 17300 KB Output is correct
62 Correct 145 ms 32220 KB Output is correct
63 Correct 236 ms 33012 KB Output is correct
64 Correct 289 ms 33876 KB Output is correct
65 Correct 478 ms 37504 KB Output is correct
66 Correct 417 ms 39556 KB Output is correct
67 Correct 472 ms 39628 KB Output is correct
68 Correct 247 ms 39992 KB Output is correct
69 Correct 216 ms 39496 KB Output is correct
70 Correct 238 ms 39560 KB Output is correct
71 Correct 264 ms 39556 KB Output is correct
72 Correct 405 ms 39612 KB Output is correct
73 Correct 428 ms 39552 KB Output is correct
74 Correct 430 ms 40204 KB Output is correct
75 Correct 498 ms 39560 KB Output is correct
76 Correct 152 ms 32516 KB Output is correct
77 Correct 214 ms 32216 KB Output is correct
78 Correct 251 ms 32360 KB Output is correct
79 Correct 425 ms 39560 KB Output is correct
80 Correct 365 ms 39568 KB Output is correct
81 Correct 468 ms 42100 KB Output is correct
82 Correct 230 ms 39584 KB Output is correct
83 Correct 228 ms 39628 KB Output is correct
84 Correct 238 ms 39424 KB Output is correct
85 Correct 323 ms 39500 KB Output is correct
86 Correct 419 ms 39648 KB Output is correct
87 Correct 336 ms 39628 KB Output is correct
88 Correct 340 ms 32736 KB Output is correct
89 Correct 543 ms 39032 KB Output is correct
90 Correct 373 ms 31512 KB Output is correct
91 Correct 394 ms 41988 KB Output is correct
92 Correct 203 ms 32216 KB Output is correct
93 Correct 264 ms 32348 KB Output is correct
94 Correct 438 ms 37724 KB Output is correct
95 Correct 489 ms 39564 KB Output is correct
96 Correct 488 ms 39568 KB Output is correct
97 Correct 472 ms 41876 KB Output is correct
98 Correct 404 ms 39588 KB Output is correct
99 Correct 406 ms 39540 KB Output is correct
100 Correct 425 ms 39560 KB Output is correct
101 Correct 245 ms 39568 KB Output is correct
102 Correct 246 ms 39532 KB Output is correct
103 Correct 283 ms 39564 KB Output is correct
104 Correct 312 ms 39632 KB Output is correct
105 Correct 381 ms 39568 KB Output is correct
106 Correct 291 ms 39556 KB Output is correct
107 Correct 371 ms 39524 KB Output is correct
108 Correct 391 ms 39572 KB Output is correct
109 Correct 353 ms 41860 KB Output is correct
110 Correct 419 ms 41932 KB Output is correct
111 Correct 416 ms 39552 KB Output is correct
112 Correct 312 ms 39564 KB Output is correct
113 Correct 405 ms 41952 KB Output is correct
114 Correct 414 ms 41952 KB Output is correct
115 Correct 236 ms 39568 KB Output is correct
116 Correct 232 ms 39572 KB Output is correct
117 Correct 253 ms 39572 KB Output is correct
118 Correct 251 ms 39568 KB Output is correct
119 Correct 275 ms 39536 KB Output is correct
120 Correct 286 ms 39496 KB Output is correct