| Task: | Kyselyt |
| Sender: | PallomerenPiikki |
| Submission time: | 2020-10-18 12:04:09 +0300 |
| Language: | C++ (C++17) |
| Status: | READY |
| Result: | 100 |
| group | verdict | score |
|---|---|---|
| #1 | ACCEPTED | 12 |
| #2 | ACCEPTED | 34 |
| #3 | ACCEPTED | 54 |
| test | verdict | time | group | |
|---|---|---|---|---|
| #1 | ACCEPTED | 0.01 s | 1, 2, 3 | details |
| #2 | ACCEPTED | 0.96 s | 2, 3 | details |
| #3 | ACCEPTED | 0.69 s | 3 | details |
| #4 | ACCEPTED | 0.84 s | 3 | details |
| #5 | ACCEPTED | 0.53 s | 3 | details |
Code
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int NLOG = 18;
const int NMAX = 1 << NLOG;
int n;
int arr[NMAX];
int psum[NMAX];
int dp[2*NMAX][NLOG+1];
int dpmax[2*NMAX][NLOG+1];
int nbigger[NMAX];
int cost(int lvl, int a, int b) {
return lvl*(b-a+1) - (psum[b+1]-psum[a]);
}
int step(int& lvl, int& i, int b) {
if (lvl == arr[i]) {
int l = 1;
while (l < NLOG && i+(1<<l) <= b) l++;
l--;
int ans = dp[i][l];
lvl = dpmax[i][l];
i += 1<<l;
lvl = max(lvl, arr[i]);
return ans;
}
int j = nbigger[i];
int ans = cost(lvl, i, min(b, j-1));
i = j;
lvl = max(lvl, arr[i]);
return ans;
}
int query_step(int a, int b, int lvl) {
b = min(b, n);
lvl = max(lvl, arr[a]);
int ans = 0;
for (int i=a; i<=b;) {
ans += step(lvl, i, b);
}
return ans;
}
int query(int a, int b) {
return query_step(a, b, arr[a]);
}
void init() {
for (int i=0; i<n; i++) {
psum[i+1] = psum[i] + arr[i];
}
vector<int> s;
s.push_back(n);
for (int i=n-1; i>=0; i--) {
while (arr[i] > arr[s.back()]) s.pop_back();
nbigger[i] = s.back();
s.push_back(i);
}
for (int i=0; i<n; i++) {
dp[i][0] = 0;
dpmax[i][0] = arr[i];
}
for (int l=1; l<NLOG; l++) {
for (int i=0; i<n; i++) {
int i2 = min(n, i + (1<<(l-1)));
dpmax[i][l] = max(dpmax[i][l-1], dpmax[i2][l-1]);
int lvl = dpmax[i][l-1];
int i3 = min(n, i2 + (i2-i));
dp[i][l] = dp[i][l-1] + query_step(i2, i3-1, lvl);
}
}
}
signed main() {
ios::sync_with_stdio(0);
int q;
cin >> n >> q;
for (int i=0; i<n; i++) {
cin >> arr[i];
}
arr[n] = 1 + *max_element(arr, arr+n);
init();
for (int i=0; i<q; i++) {
int a, b;
cin >> a >> b, a--, b--;
if (a > b) swap(a, b);
cout << query(a, b) << '\n';
}
}
Test details
Test 1
Group: 1, 2, 3
Verdict: ACCEPTED
| input |
|---|
| 100 100 70 8 72 88 42 78 85 41 23 36 6... |
| correct output |
|---|
| 99 0 922 2579 1892 ... |
| user output |
|---|
| 99 0 922 2579 1892 ... Truncated |
Test 2
Group: 2, 3
Verdict: ACCEPTED
| input |
|---|
| 200000 200000 98 99 29 92 29 81 100 52 89 80... |
| correct output |
|---|
| 1497732 2810356 9532632 6655773 5403513 ... |
| user output |
|---|
| 1497732 2810356 9532632 6655773 5403513 ... Truncated |
Test 3
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 200000 200000 818377786 934884634 816080381 ... |
| correct output |
|---|
| 86877225712611 94684086875470 92703793485296 38149694892093 61948503092286 ... |
| user output |
|---|
| 86877225712611 94684086875470 92703793485296 38149694892093 61948503092286 ... Truncated |
Test 4
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 200000 200000 1 2 3 4 5 6 7 8 9 10 11 12 13 ... |
| correct output |
|---|
| 0 0 0 0 0 ... |
| user output |
|---|
| 0 0 0 0 0 ... Truncated |
Test 5
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 200000 200000 200000 199999 199998 199997 19... |
| correct output |
|---|
| 15920862903 3193483321 18874982071 4846348926 3970697055 ... |
| user output |
|---|
| 15920862903 3193483321 18874982071 4846348926 3970697055 ... Truncated |
