oj.uz

Submission #248651

# Submission time Handle Problem Language Result Execution time Memory
248651 2020-07-13T00:53:41 Z thecodingwizard Lightning Conductor (POI11_pio) C++11
45 / 100
 381 ms 11132 KB 
#include <bits/stdc++.h>

using namespace std;

const int inf = 1e9+10;

struct func {
    int h, i, l, r;
};

int n; 
int mx[500000];
int mx2[500000];
int H[500000];

int eval(func f, int i) {
    return f.h+(int)ceil(sqrt(i-f.i));
}

// returns when right part of func a intersects func b
int intersectRight(func a, func b) {
    if (eval(a, n) > eval(b, n)) return inf;
    long long d = b.h-a.h;
    if (b.i-a.i-d*d<0) return -1;
    long double x = (double)(b.i-a.i-(long long)d*d)/2.0/d;
    long long ans = ceil(x*x)+b.i;
    return ans;
}

void solveRight(int mx[]) {
    stack<func> s;
    for (int i = 0; i < n; i++) {
        func f = {H[i], i, i, n-1};
        while (!s.empty()) {
            func f2 = s.top();
            int intersect = intersectRight(f2, f);
            //cout << f2.i << " intersects " << f.i << " at " << intersect << endl;
            if (intersect <= f2.l) s.pop();
            else {
                if (intersect - 1 <= n-1) s.top().r = intersect - 1;
                f.l = intersect;
                break;
            }
        }
        if (f.l <= n-1) s.push(f);
        assert(f.l >= i);
    }
    while (!s.empty()) {
        func f = s.top(); s.pop();
        //cout << f.i << " is max from " << f.l << " to " << f.r << endl;
        for (int i = f.l; i <= f.r; i++) mx[i] = max(mx[i], eval(f, i));
    }
    for (int i = 0; i < n; i++) {
        //cout << "mx[" << i << "] = " << mx[i] << endl;
    }
}

int main() {
    cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> H[i]; mx[i] = H[i];
    }
    solveRight(mx);
    for (int i = 0; i < n/2; i++) {
        swap(H[i], H[n-i-1]);
    }
    solveRight(mx2);
    for (int i = 0; i < n; i++) {
        mx[i] = max(mx[i], mx2[n-1-i]);
    }
    for (int i = 0; i < n/2; i++) {
        swap(H[i], H[n-i-1]);
    }
    for (int i = 0; i < n; i++) {
        cout << mx[i]-H[i] << "\n";
    }
    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 996 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1272 KB Output is correct

Subtask #6
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 1416 KB Output is correct
2 Incorrect 24 ms 1400 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #7
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 1932 KB Output is correct
2 Incorrect 73 ms 1912 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #8
0 / 9.0

# Verdict Execution time Memory Grader output
1 Incorrect 177 ms 4112 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 261 ms 7872 KB Output is correct
2 Incorrect 263 ms 5880 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #10
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 381 ms 11132 KB Output is correct
2 Incorrect 376 ms 8140 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #11
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 378 ms 8836 KB Output isn't correct
2 Halted 0 ms 0 KB -