oj.uz

Submission #330966

# Submission time Handle Problem Language Result Execution time Memory
330966 2020-11-27T01:56:32 Z 12tqian Cake 3 (JOI19_cake3) C++17
100 / 100
 1149 ms 150636 KB 
#include<bits/stdc++.h>
using namespace std;

typedef long long ll;
const int M = 5e6;
const int N = 2e5 + 5;
struct Node {
    int lc;
    int rc;
    ll sum = 0;
    int num = 0;
} t[M];

int cnt = 0;
int ti[N];
ll v[N];
ll c[N];
ll ans[N];
ll ord[N];

int n, m;

int modify(int p, int l, int r, int x, int v) {
    int u = ++cnt;
    if (l == r) {
        t[u].sum = t[p].sum + v;
        t[u].num = t[p].num + 1;
    } else {
        int m = (l + r) / 2;
        if (x <= m) {
            t[u].lc = modify(t[p].lc, l, m, x, v);
            t[u].rc = t[p].rc;
        } else {
            t[u].lc = t[p].lc;
            t[u].rc = modify(t[p].rc, m + 1, r, x, v);
        }
        t[u].sum = t[t[u].lc].sum + t[t[u].rc].sum;
        t[u].num = t[t[u].lc].num + t[t[u].rc].num;
    }
    return u;
}
// make sure it's stuff for l - 1, r
ll query(int num, int pl, int pr, int l, int r) {
    // need the highest num in the range [l, r]
    if (num == 0) 
        return 0;
    if (l == r) {
        return 1LL * ord[l] * num;
    }
    int mid = (l + r) / 2;
    ll rsum = t[t[pr].rc].sum - t[t[pl].rc].sum;
    int rnum = t[t[pr].rc].num - t[t[pl].rc].num;
    if (rnum >= num) 
        return query(num, t[pl].rc, t[pr].rc, mid + 1, r);
    else 
        return rsum + query(num - rnum, t[pl].lc, t[pr].lc, l, mid);
}
ll evaluate(int num, int l, int r) {
    ll res = query(num , ti[l - 1], ti[r], 1, n);
    return res;
}
ll f(int l, int r) {
    return evaluate(m, l, r) - 2 * (c[r] - c[l]);
}
void dnc(int l, int r, int gl, int gr) {
    if (l > r) return;
    int mid = (l + r) / 2;
    int best = gl;
    for (int i = max(mid + m - 1, gl); i <= gr; i++) {
        ll cur = f(mid, i);
        assert(i - mid + 1 >= m);
        if (cur > ans[mid])
            ans[mid] = cur, best = i;
    }
    dnc(l, mid - 1, gl, best);
    dnc(mid + 1, r, best, gr);
}
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> n >> m;
    for (int i = 1; i <= n; i++) 
        ans[i] = -2e18;
    vector<array<ll, 2>> parts(n);
    for (int i = 0; i < n; i++)
        cin >> parts[i][0] >> parts[i][1];
    sort(parts.begin(), parts.end(), [](array<ll, 2> a, array<ll, 2> b) {
        return a[1] < b[1];
    });
    for (int i = 1; i <= n; i++) {
        v[i] = parts[i - 1][0];
        c[i] = parts[i - 1][1];
    }  
    set<int> vals;
    for (int i = 1; i <= n; i++) 
        vals.insert(v[i]);
    map<int, int> conv;
    int num = 1;
    for (int x : vals) 
        conv[x] = num, ord[num] = x, num++;
    for (int i = 1; i <= n; i++) {
        ti[i] = modify(ti[i - 1], 1, n, conv[v[i]], v[i]);
    }
    dnc(1, n - m + 1, 1, n);
    ll res = -2e18  ;
    for (int i = 1; i <= n; i++)
        res = max(res, ans[i]);
    cout << res << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 117740 KB Output is correct
2 Correct 63 ms 117740 KB Output is correct
3 Correct 63 ms 117740 KB Output is correct
4 Correct 62 ms 117840 KB Output is correct
5 Correct 64 ms 117868 KB Output is correct
6 Correct 65 ms 117740 KB Output is correct
7 Correct 63 ms 117740 KB Output is correct
8 Correct 64 ms 117740 KB Output is correct
9 Correct 63 ms 117740 KB Output is correct
10 Correct 71 ms 117740 KB Output is correct
11 Correct 72 ms 117868 KB Output is correct
12 Correct 74 ms 117740 KB Output is correct
13 Correct 64 ms 117740 KB Output is correct
14 Correct 64 ms 117740 KB Output is correct
15 Correct 64 ms 117868 KB Output is correct
16 Correct 74 ms 117784 KB Output is correct
17 Correct 66 ms 117740 KB Output is correct
18 Correct 64 ms 117740 KB Output is correct
19 Correct 64 ms 117740 KB Output is correct
20 Correct 66 ms 117740 KB Output is correct
21 Correct 64 ms 117740 KB Output is correct
22 Correct 67 ms 117740 KB Output is correct
23 Correct 64 ms 117740 KB Output is correct
24 Correct 63 ms 117740 KB Output is correct
25 Correct 64 ms 117740 KB Output is correct
26 Correct 66 ms 117740 KB Output is correct
27 Correct 64 ms 117740 KB Output is correct
28 Correct 63 ms 117740 KB Output is correct
29 Correct 70 ms 117996 KB Output is correct
30 Correct 70 ms 117740 KB Output is correct
31 Correct 67 ms 117868 KB Output is correct
32 Correct 64 ms 117740 KB Output is correct
33 Correct 64 ms 117740 KB Output is correct
34 Correct 64 ms 117952 KB Output is correct
35 Correct 65 ms 117740 KB Output is correct
36 Correct 64 ms 117740 KB Output is correct
37 Correct 64 ms 117740 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 117740 KB Output is correct
2 Correct 63 ms 117740 KB Output is correct
3 Correct 63 ms 117740 KB Output is correct
4 Correct 62 ms 117840 KB Output is correct
5 Correct 64 ms 117868 KB Output is correct
6 Correct 65 ms 117740 KB Output is correct
7 Correct 63 ms 117740 KB Output is correct
8 Correct 64 ms 117740 KB Output is correct
9 Correct 63 ms 117740 KB Output is correct
10 Correct 71 ms 117740 KB Output is correct
11 Correct 72 ms 117868 KB Output is correct
12 Correct 74 ms 117740 KB Output is correct
13 Correct 64 ms 117740 KB Output is correct
14 Correct 64 ms 117740 KB Output is correct
15 Correct 64 ms 117868 KB Output is correct
16 Correct 74 ms 117784 KB Output is correct
17 Correct 66 ms 117740 KB Output is correct
18 Correct 64 ms 117740 KB Output is correct
19 Correct 64 ms 117740 KB Output is correct
20 Correct 66 ms 117740 KB Output is correct
21 Correct 64 ms 117740 KB Output is correct
22 Correct 67 ms 117740 KB Output is correct
23 Correct 64 ms 117740 KB Output is correct
24 Correct 63 ms 117740 KB Output is correct
25 Correct 64 ms 117740 KB Output is correct
26 Correct 66 ms 117740 KB Output is correct
27 Correct 64 ms 117740 KB Output is correct
28 Correct 63 ms 117740 KB Output is correct
29 Correct 70 ms 117996 KB Output is correct
30 Correct 70 ms 117740 KB Output is correct
31 Correct 67 ms 117868 KB Output is correct
32 Correct 64 ms 117740 KB Output is correct
33 Correct 64 ms 117740 KB Output is correct
34 Correct 64 ms 117952 KB Output is correct
35 Correct 65 ms 117740 KB Output is correct
36 Correct 64 ms 117740 KB Output is correct
37 Correct 64 ms 117740 KB Output is correct
38 Correct 66 ms 118124 KB Output is correct
39 Correct 64 ms 118124 KB Output is correct
40 Correct 75 ms 118124 KB Output is correct
41 Correct 67 ms 118124 KB Output is correct
42 Correct 64 ms 118124 KB Output is correct
43 Correct 64 ms 118124 KB Output is correct
44 Correct 72 ms 118124 KB Output is correct
45 Correct 66 ms 118124 KB Output is correct
46 Correct 67 ms 118124 KB Output is correct
47 Correct 67 ms 118252 KB Output is correct
48 Correct 66 ms 118124 KB Output is correct
49 Correct 65 ms 118124 KB Output is correct
50 Correct 66 ms 118124 KB Output is correct
51 Correct 65 ms 118124 KB Output is correct
52 Correct 65 ms 118124 KB Output is correct
53 Correct 67 ms 118124 KB Output is correct
54 Correct 73 ms 118124 KB Output is correct
55 Correct 66 ms 118124 KB Output is correct
56 Correct 66 ms 118124 KB Output is correct
57 Correct 65 ms 118124 KB Output is correct
58 Correct 67 ms 118124 KB Output is correct
59 Correct 67 ms 117868 KB Output is correct
60 Correct 65 ms 117868 KB Output is correct
61 Correct 64 ms 117996 KB Output is correct
62 Correct 63 ms 117868 KB Output is correct
63 Correct 67 ms 117868 KB Output is correct
64 Correct 68 ms 117868 KB Output is correct
65 Correct 67 ms 118124 KB Output is correct
66 Correct 65 ms 118124 KB Output is correct
67 Correct 69 ms 118232 KB Output is correct
68 Correct 66 ms 118124 KB Output is correct
69 Correct 68 ms 118124 KB Output is correct
70 Correct 66 ms 118124 KB Output is correct
71 Correct 65 ms 117868 KB Output is correct
72 Correct 64 ms 117868 KB Output is correct
73 Correct 67 ms 118124 KB Output is correct
74 Correct 65 ms 118124 KB Output is correct

Subtask #3
76.0 / 76.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 117740 KB Output is correct
2 Correct 63 ms 117740 KB Output is correct
3 Correct 63 ms 117740 KB Output is correct
4 Correct 62 ms 117840 KB Output is correct
5 Correct 64 ms 117868 KB Output is correct
6 Correct 65 ms 117740 KB Output is correct
7 Correct 63 ms 117740 KB Output is correct
8 Correct 64 ms 117740 KB Output is correct
9 Correct 63 ms 117740 KB Output is correct
10 Correct 71 ms 117740 KB Output is correct
11 Correct 72 ms 117868 KB Output is correct
12 Correct 74 ms 117740 KB Output is correct
13 Correct 64 ms 117740 KB Output is correct
14 Correct 64 ms 117740 KB Output is correct
15 Correct 64 ms 117868 KB Output is correct
16 Correct 74 ms 117784 KB Output is correct
17 Correct 66 ms 117740 KB Output is correct
18 Correct 64 ms 117740 KB Output is correct
19 Correct 64 ms 117740 KB Output is correct
20 Correct 66 ms 117740 KB Output is correct
21 Correct 64 ms 117740 KB Output is correct
22 Correct 67 ms 117740 KB Output is correct
23 Correct 64 ms 117740 KB Output is correct
24 Correct 63 ms 117740 KB Output is correct
25 Correct 64 ms 117740 KB Output is correct
26 Correct 66 ms 117740 KB Output is correct
27 Correct 64 ms 117740 KB Output is correct
28 Correct 63 ms 117740 KB Output is correct
29 Correct 70 ms 117996 KB Output is correct
30 Correct 70 ms 117740 KB Output is correct
31 Correct 67 ms 117868 KB Output is correct
32 Correct 64 ms 117740 KB Output is correct
33 Correct 64 ms 117740 KB Output is correct
34 Correct 64 ms 117952 KB Output is correct
35 Correct 65 ms 117740 KB Output is correct
36 Correct 64 ms 117740 KB Output is correct
37 Correct 64 ms 117740 KB Output is correct
38 Correct 66 ms 118124 KB Output is correct
39 Correct 64 ms 118124 KB Output is correct
40 Correct 75 ms 118124 KB Output is correct
41 Correct 67 ms 118124 KB Output is correct
42 Correct 64 ms 118124 KB Output is correct
43 Correct 64 ms 118124 KB Output is correct
44 Correct 72 ms 118124 KB Output is correct
45 Correct 66 ms 118124 KB Output is correct
46 Correct 67 ms 118124 KB Output is correct
47 Correct 67 ms 118252 KB Output is correct
48 Correct 66 ms 118124 KB Output is correct
49 Correct 65 ms 118124 KB Output is correct
50 Correct 66 ms 118124 KB Output is correct
51 Correct 65 ms 118124 KB Output is correct
52 Correct 65 ms 118124 KB Output is correct
53 Correct 67 ms 118124 KB Output is correct
54 Correct 73 ms 118124 KB Output is correct
55 Correct 66 ms 118124 KB Output is correct
56 Correct 66 ms 118124 KB Output is correct
57 Correct 65 ms 118124 KB Output is correct
58 Correct 67 ms 118124 KB Output is correct
59 Correct 67 ms 117868 KB Output is correct
60 Correct 65 ms 117868 KB Output is correct
61 Correct 64 ms 117996 KB Output is correct
62 Correct 63 ms 117868 KB Output is correct
63 Correct 67 ms 117868 KB Output is correct
64 Correct 68 ms 117868 KB Output is correct
65 Correct 67 ms 118124 KB Output is correct
66 Correct 65 ms 118124 KB Output is correct
67 Correct 69 ms 118232 KB Output is correct
68 Correct 66 ms 118124 KB Output is correct
69 Correct 68 ms 118124 KB Output is correct
70 Correct 66 ms 118124 KB Output is correct
71 Correct 65 ms 117868 KB Output is correct
72 Correct 64 ms 117868 KB Output is correct
73 Correct 67 ms 118124 KB Output is correct
74 Correct 65 ms 118124 KB Output is correct
75 Correct 1098 ms 148460 KB Output is correct
76 Correct 1149 ms 147516 KB Output is correct
77 Correct 1004 ms 148460 KB Output is correct
78 Correct 1018 ms 148972 KB Output is correct
79 Correct 583 ms 148972 KB Output is correct
80 Correct 610 ms 148076 KB Output is correct
81 Correct 586 ms 131564 KB Output is correct
82 Correct 784 ms 133612 KB Output is correct
83 Correct 693 ms 132460 KB Output is correct
84 Correct 723 ms 132844 KB Output is correct
85 Correct 609 ms 131692 KB Output is correct
86 Correct 401 ms 130412 KB Output is correct
87 Correct 434 ms 130412 KB Output is correct
88 Correct 545 ms 131180 KB Output is correct
89 Correct 509 ms 131072 KB Output is correct
90 Correct 421 ms 131064 KB Output is correct
91 Correct 342 ms 129920 KB Output is correct
92 Correct 344 ms 129900 KB Output is correct
93 Correct 382 ms 130412 KB Output is correct
94 Correct 331 ms 130540 KB Output is correct
95 Correct 411 ms 131052 KB Output is correct
96 Correct 277 ms 128492 KB Output is correct
97 Correct 295 ms 129260 KB Output is correct
98 Correct 293 ms 129132 KB Output is correct
99 Correct 281 ms 129132 KB Output is correct
100 Correct 257 ms 128492 KB Output is correct
101 Correct 254 ms 128492 KB Output is correct
102 Correct 424 ms 129004 KB Output is correct
103 Correct 410 ms 128748 KB Output is correct
104 Correct 457 ms 129388 KB Output is correct
105 Correct 377 ms 129132 KB Output is correct
106 Correct 372 ms 129516 KB Output is correct
107 Correct 336 ms 129004 KB Output is correct
108 Correct 989 ms 148492 KB Output is correct
109 Correct 908 ms 150508 KB Output is correct
110 Correct 250 ms 127980 KB Output is correct
111 Correct 301 ms 128108 KB Output is correct
112 Correct 967 ms 146028 KB Output is correct
113 Correct 605 ms 150636 KB Output is correct