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Submission #904833

# Submission time Handle Problem Language Result Execution time Memory
904833 2024-01-12T09:36:56 Z Flan312 Building Bridges (CEOI17_building) C++17
100 / 100
 46 ms 12884 KB 
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define eb emplace_back
#define task ""
#define fast ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
#define nx freopen (task".inp","r",stdin), freopen (task".out","w",stdout);
#define fi first
#define se second
#define pii pair <int, int>
#define tii tuple <int, int, int>
using namespace std;
const int nmax = 1e5 + 2;
const ll oo = 1e18;
int n;
ll h[nmax], w[nmax], dp[nmax];
struct segment
{
    ll a, b;
    segment(ll a = 0, ll b = oo) : a(a), b(b) {}
};
struct node
{
    segment line;
    node *l, *r;
    node(const segment &line = segment(), node *l = nullptr, node *r = nullptr) : line(line), l(l), r(r) {}
};
#define check(x) if (x == nullptr) x = new node()
node *lichao = new node();
ll get(const segment &line, int x)
{
    return line.a * x + line.b;
}
void update(node *root, int l, int r, int u, int v, const segment &line)
{
    if (l > v || r < u) return;
    int mid = l + r >> 1;
    if (l >= u && r <= v)
    {
        check(root -> l);
        check(root -> r);
        ll rootL = get(root -> line, l);
        ll rootR = get(root -> line, r);
        ll rootM = get(root -> line, mid);
        ll lineL = get(line, l);
        ll lineR = get(line, r);
        ll lineM = get(line, mid);
        if (rootL <= lineL && rootR <= lineR) return;
        if (rootL >= lineL && rootR >= lineR) {root -> line = line; return;}
        if (rootL <= lineL && rootM <= lineM)
        {
            update(root -> r, mid + 1, r, u, v, line);
            return;
        }
        if (rootL >= lineL && rootM >= lineM)
        {
            update(root -> r, mid + 1, r, u, v, root -> line);
            root -> line = line;
            return;
        }
        if (get(root -> line, mid + 1) <= get(line, mid + 1) && rootR <= lineR)
        {
            update(root -> l, l, mid, u, v, line);
            return;
        }
        if (get(root -> line, mid + 1) >= get(line, mid + 1) && rootR >= lineR)
        {
            update(root -> l, l, mid, u, v, root -> line);
            root -> line = line;
            return;
        }
    }
    update(root -> l, l, mid, u, v, line);
    update(root -> r, mid + 1, r, u, v, line);
}
void update(int u, int v, const segment &line) {update(lichao, 0, 1e6, 0, 1e6, line);}
ll get(node *root, int l, int r, int x)
{
    if (root == nullptr || (l > x || r < x)) return oo;
    ll res = get(root -> line, x);
    if (l == r) return res;
    int mid = l + r >> 1;
    res = min(res, get(root -> l, l, mid, x));
    res = min(res, get(root -> r, mid + 1, r, x));
    return res;
}
int main()
{
    if (ifstream(task".inp")) nx
    fast
    cin >> n;
    for (int i = 1; i <= n; ++i)
        cin >> h[i];
    for (int i = 1; i <= n; ++i)
        cin >> w[i];;
    dp[1] = -w[1];
    update(0, 1e6, segment(-2 * h[1], 1ll * h[1] * h[1] + dp[1]));
    for (int i = 2; i <= n; ++i)
    {
        dp[i] = 1ll * h[i] * h[i] - w[i] + get(lichao, 0, 1e6, h[i]);
        update(0, 1e6, segment(-2 * h[i], 1ll * h[i] * h[i] + dp[i]));
    }
    cout << dp[n] + accumulate(w + 1, w + n + 1, 0LL);
}

Compilation message

building.cpp: In function 'void update(node*, int, int, int, int, const segment&)':
building.cpp:37:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   37 |     int mid = l + r >> 1;
      |               ~~^~~
building.cpp: In function 'long long int get(node*, int, int, int)':
building.cpp:82:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   82 |     int mid = l + r >> 1;
      |               ~~^~~
building.cpp: In function 'int main()':
building.cpp:7:20: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
    7 | #define nx freopen (task".inp","r",stdin), freopen (task".out","w",stdout);
      |            ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
building.cpp:89:31: note: in expansion of macro 'nx'
   89 |     if (ifstream(task".inp")) nx
      |                               ^~
building.cpp:7:52: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
    7 | #define nx freopen (task".inp","r",stdin), freopen (task".out","w",stdout);
      |                                            ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
building.cpp:89:31: note: in expansion of macro 'nx'
   89 |     if (ifstream(task".inp")) nx
      |                               ^~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 4152 KB Output is correct
2 Correct 45 ms 4260 KB Output is correct
3 Correct 44 ms 4100 KB Output is correct
4 Correct 40 ms 3676 KB Output is correct
5 Correct 33 ms 6972 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 46 ms 4152 KB Output is correct
7 Correct 45 ms 4260 KB Output is correct
8 Correct 44 ms 4100 KB Output is correct
9 Correct 40 ms 3676 KB Output is correct
10 Correct 33 ms 6972 KB Output is correct
11 Correct 40 ms 4036 KB Output is correct
12 Correct 43 ms 4352 KB Output is correct
13 Correct 32 ms 3932 KB Output is correct
14 Correct 40 ms 4416 KB Output is correct
15 Correct 42 ms 12884 KB Output is correct
16 Correct 33 ms 6996 KB Output is correct
17 Correct 14 ms 3676 KB Output is correct
18 Correct 16 ms 4132 KB Output is correct