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Submission #887207

# Submission time Handle Problem Language Result Execution time Memory
887207 2023-12-14T05:15:56 Z vjudge1 Building Bridges (CEOI17_building) C++17
30 / 100
 44 ms 11468 KB 
// Goten2308
#include<bits/stdc++.h>

using namespace std;
#define int long long
using ll = long long;
using ii = pair <int, int>;
#define fi first
#define se second
#define mp(x, y) make_pair(x, y)
#define pb(x) push_back(x)
#define all(x) (x).begin(), (x).end()
#define endl '\n'
#define BIT(x, y) ((x >> y) & 1)
#define MASK(x) (1 << x)
#define MOD 1000000007
#define MULTI_TEST1
template <class T> bool maximize(T& a, T b) { if(a < b) { a = b; return true; } return false; }
template <class T> bool minimize(T& a, T b) { if(a > b) { a = b; return true; } return false; }
template <class T> void add(T& a, T b) { a += b; if(a >= MOD) a -= MOD; }
template <class T> void sub(T& a, T b) { a -= b; if(a <= 0) a += MOD; }

const int maxN = (int)1e5 + 7, maxVal = (int)1e6 + 7, maxLog = 63 - __builtin_clzll(maxN) + 2, INF = (int)1e9 + 7;
int val[maxVal];
vector<int> comp;

struct Line {
    ll a, b;
    Line() {
        a = 0;
        b = INF;
    }
    Line(ll _a, ll _b) {
        a = _a;
        b = _b;
    }
    ll operator() (ll x) {
        return a * x + b;
    }
} node[MASK(maxLog)];

void ins(int id, int l, int r, Line L) {
    if(l > r) return;
    if(l == r) {
        node[id] = L;
        return;
    }
    int m = (l + r) >> 1;
    if(node[id].a > L.a) swap(node[id], L);
    if(node[id](val[m]) > L(val[m])) {
        swap(node[id], L);
        ins(id << 1 | 1, m + 1, r, L);
    }else ins(id << 1, l, m, L);
}

void ins(Line L) {
    ins(1, 1, comp.size(), L);
}

ll get(int id, int l, int r, int x) {
    if(l > r) return INF;
    if(l == r) return node[id](val[x]);
    int m = (l + r) >> 1;
    if(x <= m) return min(node[id](val[x]), get(id << 1, l, m, x));
    return min(node[id](val[x]), get(id << 1 | 1, m + 1, r, x));
}

ll get(int x) {
    return get(1, 1, comp.size(), x);
}
int n, h[maxN], w[maxN], f[maxN], psW[maxN];
#define sqr(x) (x * x)
void solve() {
    cin >> n;
    vector<int> V(n + 1);
    for (int i = 1; i <= n; i++) {
        cin >> h[i];
        comp.pb(h[i]);
    }
    for (int i = 1; i <= n; i++) cin >> w[i];
    sort(all(comp));
    comp.resize(unique(all(comp)) - comp.begin());
    for(int i = 1; i <= n; i++) {
        h[i] = lower_bound(all(comp), h[i]) - comp.begin() + 1;
        val[h[i]] = comp[h[i] - 1];
        V[i] = comp[h[i] - 1];
    }
    f[1] = 0;
    for (int i = 1; i <= n; i++) {
        psW[i] = psW[i - 1] + w[i];
    }
    ins(Line(-2 * V[1], 0 - psW[1] + sqr(V[1]))); // ax + b
    for(int i = 2; i <= n; i++) {
        f[i] = get(h[i]) + sqr(V[i]) + psW[i - 1];
        ins(Line(-2 * V[i], f[i] - psW[i] + sqr(V[i])));
    }
    cout << f[n] << endl;
}

signed main(){
    #define task ""
    if(fopen(task".inp", "r")){
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }
    if(fopen("task.inp", "r")){
        freopen("task.inp", "r", stdin);
        //freopen("task.out", "w", stdout);
    }
    cin.tie(0)->ios_base::sync_with_stdio(0);
    int nTest = 1;
    #ifdef MULTI_TEST
    cin >> nTest;
    #endif
    while(nTest--) {
        solve();
    }
    return 0;
}

Compilation message

building.cpp: In function 'int main()':
building.cpp:103:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  103 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
building.cpp:104:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  104 |         freopen(task".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
building.cpp:107:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  107 |         freopen("task.inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8536 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8716 KB Output is correct

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 11468 KB Output is correct
2 Correct 44 ms 11412 KB Output is correct
3 Correct 44 ms 11468 KB Output is correct
4 Correct 38 ms 11468 KB Output is correct
5 Incorrect 32 ms 11436 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8536 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8716 KB Output is correct
6 Correct 44 ms 11468 KB Output is correct
7 Correct 44 ms 11412 KB Output is correct
8 Correct 44 ms 11468 KB Output is correct
9 Correct 38 ms 11468 KB Output is correct
10 Incorrect 32 ms 11436 KB Output isn't correct
11 Halted 0 ms 0 KB -