oj.uz

Submission #494781

# Submission time Handle Problem Language Result Execution time Memory
494781 2021-12-16T09:40:33 Z ryangohca Fire (JOI20_ho_t5) C++17
100 / 100
 495 ms 58584 KB 
#include <bits/stdc++.h>
#define pii pair<int, int>
#define ti3 tuple<int, int, int>
#define ti4 tuple<int, int, int, int>
#define int long long
// We are dancing on fire ~~  ~ Seunghee, Dun Dun Dance
using namespace std;
// Notice that in a 2d array (pos, t), each number will form a parallelogram in the array.
// for eg, sample input (look at 6):
// 93265
// 99366
// 99966
// 99996
// 99999
// for each parallelogram, we can decompose it into 3 triangles starting from t=0.
// for eg, 6 in sample input:
// .XX6Y
// ..X66
// ...66
// ....6
// .....
// left point of triangle is 1 + (largest leftmost idx >= a[i]), right point of triangle is
// (smallest rightmost idx > a[i]) - 1;
// updating a triangle = updating a parallelogram [l, inf) starting from t=0 and 
// updating a rectangle [r+1, inf) starting from t=0
// so actual update on triangle will be the difference b/w the 2 intersections.
// ie. actual_range_sum0(l, r) = range_sum_par0(l, r) - range_sum_rect0(l, r);
// note: if rightmost / leftmost elem does not exist just use a very big/small number
// Moreover, all (actual) updates are parallelograms, so
// B..XX
// XC..X
// abc
// notice that b to c = a to b (B and C are equal unless the parallelogram of B ends there)
// so range_sum(l, r, t) = range_sum_par(l, r, t) - range_sum_rect(l, r, t)
//                       = range_sum_par0(l - h + 1, r - h + 1, t) - range_sum_rect0(l, r)
// when h is the height of the parallelogram, which is basically t + 1(0-indexed)
// to ensure that B and C are equal (I think? - but we should remove those out of range triangles anyways)
// we sweep line by T, and remove triangles that are out of range (height < t);
int arr[200005], L[200005], R[200005], ans[200005];
vector<ti3> heights[200005];
vector<ti3> queries[200005];
struct fenwick{
    int N;
    int fw[400010], fw2[400010];
    int off = 200002;
    fenwick(int N): N(N){
        memset(fw, 0, sizeof fw);
        memset(fw2, 0, sizeof fw2);
    }
    void update(int x, int y, int v) { //inclusive
        x += off; y += off;
        for (int tx=x; tx <= N; tx += tx&(-tx)) fw[tx] += v, fw2[tx] -= v*(x-1);
        for (int ty=y+1; ty <= N; ty += ty&(-ty)) fw[ty] -= v, fw2[ty] += v*y; 
    }
    int sum (int x) {
        int res = 0;
        for (int tx=x; tx; tx -= tx&(-tx)) res += fw[tx]*x + fw2[tx];
        return res;    
    }
    int range_sum(int x, int y) { //inclusive
        x += off; y += off;
        return sum(y)-sum(x-1);
    }
} *parfw = new fenwick(400005), *rectfw = new fenwick(400005);
int n;
void tri(int l, int r, int v, bool upd){
    if (l > r) return;
    parfw->update(l, n+1, v);
    rectfw->update(r+1, n+1, v);
    if (upd){
        int height = r-l+1;
        if (height <= n) heights[height].push_back({l, r, -v}); 
    }
}
main(){
    int q; cin >> n >> q;
    for (int i = 1; i <= n; i++) cin >> arr[i];
    stack<int> nums;
    for (int i = 1; i <= n; i++){
        while (!nums.empty() && arr[nums.top()] < arr[i]) nums.pop();
        L[i] = (nums.empty()?-n-1:nums.top());
        nums.push(i);
    }
    while (!nums.empty()) nums.pop();
    for (int i = n; i > 0; i--){
        while (!nums.empty() && arr[nums.top()] <= arr[i]) nums.pop();
        R[i] = (nums.empty()?n+1:nums.top());
        nums.push(i);
    }
    for (int i = 1; i <= n; i++){
        tri(L[i]+1, R[i]-1, arr[i], true); // large triangle
        tri(L[i]+1, i-1, -arr[i], true); // small triangle
        tri(i+1, R[i]-1, -arr[i], true); // small triangle
    }
    for (int i = 1; i <= q; i++){
        int t, l, r; cin >> t >> l >> r;
        queries[t].push_back({l, r, i});
    }
    // time starts from 0, so triangles with heights t or below should be removed
    for (int t = 1; t <= n; t++){
        for (auto [l, r, v]: heights[t]) tri(l, r, v, false);
        for (auto [l, r, i]: queries[t]) ans[i] = parfw->range_sum(l-t, r-t) - rectfw->range_sum(l, r);
    }
    for (int i = 1; i <= q; i++) cout << ans[i] << '\n';
}

Compilation message

ho_t5.cpp:75:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   75 | main(){
      | ^~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22236 KB Output is correct
2 Correct 11 ms 22240 KB Output is correct
3 Correct 11 ms 22232 KB Output is correct
4 Correct 12 ms 22232 KB Output is correct
5 Correct 12 ms 22224 KB Output is correct
6 Correct 12 ms 22248 KB Output is correct
7 Correct 11 ms 22172 KB Output is correct
8 Correct 12 ms 22248 KB Output is correct
9 Correct 11 ms 22224 KB Output is correct
10 Correct 11 ms 22248 KB Output is correct
11 Correct 11 ms 22224 KB Output is correct
12 Correct 11 ms 22188 KB Output is correct
13 Correct 11 ms 22252 KB Output is correct
14 Correct 11 ms 22252 KB Output is correct
15 Correct 12 ms 22200 KB Output is correct
16 Correct 14 ms 22240 KB Output is correct
17 Correct 12 ms 22224 KB Output is correct
18 Correct 11 ms 22244 KB Output is correct
19 Correct 11 ms 22224 KB Output is correct
20 Correct 13 ms 22252 KB Output is correct
21 Correct 13 ms 22224 KB Output is correct
22 Correct 11 ms 22224 KB Output is correct
23 Correct 11 ms 22244 KB Output is correct
24 Correct 12 ms 22296 KB Output is correct
25 Correct 11 ms 22240 KB Output is correct
26 Correct 11 ms 22224 KB Output is correct
27 Correct 11 ms 22224 KB Output is correct
28 Correct 11 ms 22224 KB Output is correct
29 Correct 11 ms 22224 KB Output is correct
30 Correct 11 ms 22260 KB Output is correct
31 Correct 11 ms 22224 KB Output is correct
32 Correct 13 ms 22224 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22236 KB Output is correct
2 Correct 402 ms 55136 KB Output is correct
3 Correct 357 ms 52128 KB Output is correct
4 Correct 413 ms 52436 KB Output is correct
5 Correct 378 ms 58560 KB Output is correct
6 Correct 382 ms 54708 KB Output is correct
7 Correct 369 ms 55284 KB Output is correct
8 Correct 361 ms 52476 KB Output is correct
9 Correct 461 ms 55228 KB Output is correct
10 Correct 379 ms 52116 KB Output is correct
11 Correct 379 ms 55680 KB Output is correct
12 Correct 362 ms 54824 KB Output is correct
13 Correct 378 ms 58344 KB Output is correct
14 Correct 366 ms 52164 KB Output is correct
15 Correct 391 ms 58584 KB Output is correct
16 Correct 390 ms 51940 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22236 KB Output is correct
2 Correct 430 ms 52576 KB Output is correct
3 Correct 407 ms 52048 KB Output is correct
4 Correct 414 ms 53016 KB Output is correct
5 Correct 430 ms 52120 KB Output is correct
6 Correct 399 ms 52420 KB Output is correct
7 Correct 404 ms 52292 KB Output is correct
8 Correct 399 ms 52764 KB Output is correct
9 Correct 397 ms 52208 KB Output is correct
10 Correct 393 ms 51696 KB Output is correct
11 Correct 415 ms 53076 KB Output is correct
12 Correct 429 ms 52632 KB Output is correct
13 Correct 408 ms 52792 KB Output is correct
14 Correct 414 ms 52356 KB Output is correct
15 Correct 417 ms 52848 KB Output is correct
16 Correct 420 ms 52252 KB Output is correct

Subtask #4
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 387 ms 50452 KB Output is correct
2 Correct 381 ms 50500 KB Output is correct
3 Correct 385 ms 51148 KB Output is correct
4 Correct 378 ms 50616 KB Output is correct
5 Correct 395 ms 50696 KB Output is correct
6 Correct 388 ms 50356 KB Output is correct
7 Correct 402 ms 50820 KB Output is correct
8 Correct 380 ms 50852 KB Output is correct
9 Correct 396 ms 50804 KB Output is correct
10 Correct 401 ms 50792 KB Output is correct
11 Correct 374 ms 50968 KB Output is correct
12 Correct 377 ms 50896 KB Output is correct
13 Correct 364 ms 50752 KB Output is correct
14 Correct 405 ms 50876 KB Output is correct

Subtask #5
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 22236 KB Output is correct
2 Correct 11 ms 22240 KB Output is correct
3 Correct 11 ms 22232 KB Output is correct
4 Correct 12 ms 22232 KB Output is correct
5 Correct 12 ms 22224 KB Output is correct
6 Correct 12 ms 22248 KB Output is correct
7 Correct 11 ms 22172 KB Output is correct
8 Correct 12 ms 22248 KB Output is correct
9 Correct 11 ms 22224 KB Output is correct
10 Correct 11 ms 22248 KB Output is correct
11 Correct 11 ms 22224 KB Output is correct
12 Correct 11 ms 22188 KB Output is correct
13 Correct 11 ms 22252 KB Output is correct
14 Correct 11 ms 22252 KB Output is correct
15 Correct 12 ms 22200 KB Output is correct
16 Correct 14 ms 22240 KB Output is correct
17 Correct 12 ms 22224 KB Output is correct
18 Correct 11 ms 22244 KB Output is correct
19 Correct 11 ms 22224 KB Output is correct
20 Correct 13 ms 22252 KB Output is correct
21 Correct 13 ms 22224 KB Output is correct
22 Correct 11 ms 22224 KB Output is correct
23 Correct 11 ms 22244 KB Output is correct
24 Correct 12 ms 22296 KB Output is correct
25 Correct 11 ms 22240 KB Output is correct
26 Correct 11 ms 22224 KB Output is correct
27 Correct 11 ms 22224 KB Output is correct
28 Correct 11 ms 22224 KB Output is correct
29 Correct 11 ms 22224 KB Output is correct
30 Correct 11 ms 22260 KB Output is correct
31 Correct 11 ms 22224 KB Output is correct
32 Correct 13 ms 22224 KB Output is correct
33 Correct 402 ms 55136 KB Output is correct
34 Correct 357 ms 52128 KB Output is correct
35 Correct 413 ms 52436 KB Output is correct
36 Correct 378 ms 58560 KB Output is correct
37 Correct 382 ms 54708 KB Output is correct
38 Correct 369 ms 55284 KB Output is correct
39 Correct 361 ms 52476 KB Output is correct
40 Correct 461 ms 55228 KB Output is correct
41 Correct 379 ms 52116 KB Output is correct
42 Correct 379 ms 55680 KB Output is correct
43 Correct 362 ms 54824 KB Output is correct
44 Correct 378 ms 58344 KB Output is correct
45 Correct 366 ms 52164 KB Output is correct
46 Correct 391 ms 58584 KB Output is correct
47 Correct 390 ms 51940 KB Output is correct
48 Correct 430 ms 52576 KB Output is correct
49 Correct 407 ms 52048 KB Output is correct
50 Correct 414 ms 53016 KB Output is correct
51 Correct 430 ms 52120 KB Output is correct
52 Correct 399 ms 52420 KB Output is correct
53 Correct 404 ms 52292 KB Output is correct
54 Correct 399 ms 52764 KB Output is correct
55 Correct 397 ms 52208 KB Output is correct
56 Correct 393 ms 51696 KB Output is correct
57 Correct 415 ms 53076 KB Output is correct
58 Correct 429 ms 52632 KB Output is correct
59 Correct 408 ms 52792 KB Output is correct
60 Correct 414 ms 52356 KB Output is correct
61 Correct 417 ms 52848 KB Output is correct
62 Correct 420 ms 52252 KB Output is correct
63 Correct 387 ms 50452 KB Output is correct
64 Correct 381 ms 50500 KB Output is correct
65 Correct 385 ms 51148 KB Output is correct
66 Correct 378 ms 50616 KB Output is correct
67 Correct 395 ms 50696 KB Output is correct
68 Correct 388 ms 50356 KB Output is correct
69 Correct 402 ms 50820 KB Output is correct
70 Correct 380 ms 50852 KB Output is correct
71 Correct 396 ms 50804 KB Output is correct
72 Correct 401 ms 50792 KB Output is correct
73 Correct 374 ms 50968 KB Output is correct
74 Correct 377 ms 50896 KB Output is correct
75 Correct 364 ms 50752 KB Output is correct
76 Correct 405 ms 50876 KB Output is correct
77 Correct 495 ms 53384 KB Output is correct
78 Correct 446 ms 54196 KB Output is correct
79 Correct 455 ms 53280 KB Output is correct
80 Correct 409 ms 53452 KB Output is correct
81 Correct 437 ms 53288 KB Output is correct
82 Correct 425 ms 53444 KB Output is correct
83 Correct 449 ms 53392 KB Output is correct
84 Correct 420 ms 53504 KB Output is correct
85 Correct 446 ms 53500 KB Output is correct
86 Correct 450 ms 53408 KB Output is correct
87 Correct 424 ms 55028 KB Output is correct
88 Correct 376 ms 54912 KB Output is correct
89 Correct 363 ms 54460 KB Output is correct
90 Correct 377 ms 54924 KB Output is correct
91 Correct 403 ms 54488 KB Output is correct
92 Correct 382 ms 54096 KB Output is correct
93 Correct 399 ms 54344 KB Output is correct
94 Correct 402 ms 55536 KB Output is correct
95 Correct 415 ms 55168 KB Output is correct
96 Correct 464 ms 54656 KB Output is correct
97 Correct 422 ms 54620 KB Output is correct
98 Correct 356 ms 53728 KB Output is correct
99 Correct 361 ms 53928 KB Output is correct
100 Correct 382 ms 54488 KB Output is correct
101 Correct 398 ms 54484 KB Output is correct
102 Correct 407 ms 54920 KB Output is correct