oj.uz

Submission #158584

# Submission time Handle Problem Language Result Execution time Memory
158584 2019-10-18T02:53:29 Z PeppaPig Building Bridges (CEOI17_building) C++14
100 / 100
 84 ms 8552 KB 
#include <bits/stdc++.h>

#define long long long
#define pii pair<long, long>
#define x first
#define y second

using namespace std;

const int N = 1 << 17;

vector<int> coord;
pii t[N << 1];

long f(long x, pii l) { return l.x * x + l.y; }

void add(pii k, int p = 1, int l = 1, int r = coord.size()) {
    int m = (l + r) >> 1;
    int L = coord[l-1], M = coord[m-1], R = coord[r-1];
    bool lef = f(L, k) < f(L, t[p]);
    bool mid = f(M, k) < f(M, t[p]);
    if(mid) swap(k, t[p]);
    if(l == r) return;
    else if(lef != mid) add(k, p<<1, l, m);
    else add(k, p<<1|1, m+1, r);
}

long get(long x, int p = 1, int l = 1, int r = coord.size()) {
    if(l == r) return f(x, t[p]);
    int m = (l + r) >> 1;
    int L = coord[l-1], M = coord[m-1], R = coord[r-1];
    if(x <= M) return min(f(x, t[p]), get(x, p<<1, l, m));
    else return min(f(x, t[p]), get(x, p<<1|1, m+1, r));
}

int n;
long h[N], w[N], dp[N];

int main() {
    fill_n(t, N<<1, pii(1e12, 1e12));
    scanf("%d", &n);
    for(int i = 1; i <= n; i++) {
        scanf("%lld", h+i);
        coord.emplace_back(h[i]);
    }
    for(int i = 1; i <= n; i++) {
        scanf("%lld", w+i);
        w[i] += w[i-1];
    }
    sort(coord.begin(), coord.end());
    coord.resize(unique(coord.begin(), coord.end()) - coord.begin());

    add(pii(-2ll * h[1], h[1] * h[1] - w[1]));
    for(int i = 2; i <= n; i++) {
        dp[i] = get(h[i]) + h[i] * h[i] + w[i-1];
        add(pii(-2ll * h[i], h[i] * h[i] - w[i] + dp[i]));
    }
    printf("%lld\n", dp[n]);

    return 0;
}

Compilation message

building.cpp: In function 'void add(std::pair<long long int, long long int>, int, int, int)':
building.cpp:19:41: warning: unused variable 'R' [-Wunused-variable]
     int L = coord[l-1], M = coord[m-1], R = coord[r-1];
                                         ^
building.cpp: In function 'long long int get(long long int, int, int, int)':
building.cpp:31:9: warning: unused variable 'L' [-Wunused-variable]
     int L = coord[l-1], M = coord[m-1], R = coord[r-1];
         ^
building.cpp:31:41: warning: unused variable 'R' [-Wunused-variable]
     int L = coord[l-1], M = coord[m-1], R = coord[r-1];
                                         ^
building.cpp: In function 'int main()':
building.cpp:41:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
building.cpp:43:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld", h+i);
         ~~~~~^~~~~~~~~~~~~
building.cpp:47:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld", w+i);
         ~~~~~^~~~~~~~~~~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4476 KB Output is correct
2 Correct 5 ms 4472 KB Output is correct
3 Correct 5 ms 4472 KB Output is correct
4 Correct 5 ms 4472 KB Output is correct
5 Correct 6 ms 4472 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 7304 KB Output is correct
2 Correct 69 ms 7276 KB Output is correct
3 Correct 68 ms 7280 KB Output is correct
4 Correct 62 ms 7284 KB Output is correct
5 Correct 56 ms 7364 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4476 KB Output is correct
2 Correct 5 ms 4472 KB Output is correct
3 Correct 5 ms 4472 KB Output is correct
4 Correct 5 ms 4472 KB Output is correct
5 Correct 6 ms 4472 KB Output is correct
6 Correct 68 ms 7304 KB Output is correct
7 Correct 69 ms 7276 KB Output is correct
8 Correct 68 ms 7280 KB Output is correct
9 Correct 62 ms 7284 KB Output is correct
10 Correct 56 ms 7364 KB Output is correct
11 Correct 84 ms 8496 KB Output is correct
12 Correct 82 ms 8340 KB Output is correct
13 Correct 59 ms 8432 KB Output is correct
14 Correct 84 ms 8552 KB Output is correct
15 Correct 55 ms 8176 KB Output is correct
16 Correct 56 ms 8304 KB Output is correct
17 Correct 33 ms 8432 KB Output is correct
18 Correct 32 ms 8432 KB Output is correct