Submission #943103

# Submission time Handle Problem Language Result Execution time Memory
943103 2024-03-11T08:17:11 Z hariaakas646 Building Bridges (CEOI17_building) C++17
60 / 100
3000 ms 6432 KB
#include <bits/stdc++.h>
 
using namespace std;
 
#define scd(t) scanf("%d", &t)
#define sclld(t) scanf("%lld", &t)
#define forr(i, l, r) for(int i=l; i<r; i++)
#define frange(i, l) forr(i, 0, l)
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define all(x) x.begin(), x.end()
 
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef vector<pii> vii;
typedef long long lli;
typedef vector<vi> vvi;
typedef vector<lli> vll;
typedef vector<bool> vb;
typedef set<int> seti;
typedef multiset<int> mseti;
typedef long double ld;

void usaco()
{
    freopen("/media/hariaakash646/785EF1075EF0BF46/CompetitiveProgramming/input.in", "r", stdin);
//    freopen("problem.out", "w", stdout);
}

struct line {
    lli m=0, c=1e16;

    lli eval(lli x) {
        return m*x + c;
    }

    ld intersect(line y) {
        return ld(y.c - c) / ld(m - y.m);
    }
};

struct Data {
    line ln;
    int lc = -1;
    int rc = -1;
};

const int maxn = 2e5 + 10;
Data tree[maxn * 4];
int id = 0;

void add(Data data, int x, lli l, lli r) {
    lli mid = (l+r)/2;
    bool lb = data.ln.eval(l) < tree[x].ln.eval(l);
    bool mb = data.ln.eval(mid) < tree[x].ln.eval(mid);
    if(mb) {
        swap(data.ln, tree[x].ln);
    } 
    if(lb != mb) {
        if(tree[x].lc == -1) {
            tree[x].lc = ++id;
            tree[id] = data;
        }
        else {
            add(data, tree[x].lc, l, mid);
        }
    }
    else {
        if(tree[x].rc == -1) {
            tree[x].rc = ++id;
            tree[id] = data;
        }
        else {
            add(data, tree[x].rc, mid, r);
        }
    }
}

lli get(int x, lli l, lli r, lli val) {
    lli mid = (l + r)/2;    
    // printf("%lld ", tree[x].ln.m);
    if(val <= mid) {
        if(tree[x].lc != -1)
            return min(tree[x].ln.eval(val), get(tree[x].lc, l, mid, val));
        else 
            return tree[x].ln.eval(val);
    }
    else {
        if(tree[x].rc != -1)
            return min(tree[x].ln.eval(val), get(tree[x].rc, mid, r, val));
        else 
            return tree[x].ln.eval(val);
    }
}

int main() {
    // usaco();
    int n;
    scd(n);

    vector<pair<lli, lli>> vec(n);

    frange(i, n) {
        sclld(vec[i].f);
    }
    frange(i, n) {
        sclld(vec[i].s);
    }
    lli val = 0;
    Data tmp;
    tmp.ln.m = -2 * vec[0].f;
    tmp.ln.c = vec[0].f * vec[0].f - vec[0].s;
    add(tmp, 0, 0, 1e6+10);
    forr(i, 1, n) {
        // printf("%d ", i);
        lli data = get(0, 0, 1e6+10, vec[i].f);
        // printf("\n");
        val = data + vec[i].f * vec[i].f - vec[i].s;
        tmp.ln.m = -2 * vec[i].f;
        tmp.ln.c = val + vec[i].f * vec[i].f;
        // printf("%lld %lld\n", tmp.ln.m, tmp.ln.c);
        add(tmp, 0, 0, 1e6+10);
    }

    frange(i, n) {
        val += vec[i].s;
    }

    printf("%lld", val);
}

Compilation message

building.cpp: In function 'void usaco()':
building.cpp:28:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   28 |     freopen("/media/hariaakash646/785EF1075EF0BF46/CompetitiveProgramming/input.in", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
building.cpp: In function 'int main()':
building.cpp:5:21: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    5 | #define scd(t) scanf("%d", &t)
      |                ~~~~~^~~~~~~~~~
building.cpp:101:5: note: in expansion of macro 'scd'
  101 |     scd(n);
      |     ^~~
building.cpp:6:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    6 | #define sclld(t) scanf("%lld", &t)
      |                  ~~~~~^~~~~~~~~~~~
building.cpp:106:9: note: in expansion of macro 'sclld'
  106 |         sclld(vec[i].f);
      |         ^~~~~
building.cpp:6:23: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    6 | #define sclld(t) scanf("%lld", &t)
      |                  ~~~~~^~~~~~~~~~~~
building.cpp:109:9: note: in expansion of macro 'sclld'
  109 |         sclld(vec[i].s);
      |         ^~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 84 ms 5200 KB Output is correct
2 Correct 91 ms 5312 KB Output is correct
3 Correct 84 ms 5204 KB Output is correct
4 Correct 163 ms 5288 KB Output is correct
5 Correct 30 ms 5204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 84 ms 5200 KB Output is correct
7 Correct 91 ms 5312 KB Output is correct
8 Correct 84 ms 5204 KB Output is correct
9 Correct 163 ms 5288 KB Output is correct
10 Correct 30 ms 5204 KB Output is correct
11 Correct 121 ms 5576 KB Output is correct
12 Correct 72 ms 5232 KB Output is correct
13 Execution timed out 3090 ms 6432 KB Time limit exceeded
14 Halted 0 ms 0 KB -