oj.uz

Submission #1114742

# Submission time Handle Problem Language Result Execution time Memory
1114742 2024-11-19T14:08:55 Z ShaShi Palembang Bridges (APIO15_bridge) C++17
22 / 100
 150 ms 113604 KB 
#include <bits/stdc++.h>
 
#define int long long 
 
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
 
#define F first 
#define S second
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
#define kill(x) cout << x << "\n", exit(0);
#define pii pair<int, int>
#define pll pair<long long, long long>
#define endl "\n"
 
 
 
using namespace std;
typedef long long ll;
// typedef __int128_t lll;
typedef long double ld;
 
 
const int MAXN = (int)1e6 + 7;
const int MOD = 998244353;
const ll INF = (ll)1e18 + 7;
 
 
int n, m, k, tmp, t, tmp2, tmp3, tmp4, u, v, w, flag, q, ans, N, res, pre_ans;
pii arr[MAXN], di[MAXN];
char ch, ch2;
vector<int> vec[2][MAXN], cmp;
int ps[2][MAXN];
vector<int> cnt[2][MAXN];
 
 
 
inline int id(int n) { return lower_bound(all(cmp), n)-cmp.begin(); }
 
 
vector<pii> _vec;
map<int, int> _cnt;
 
inline int solve1() {
    for (int i=1; i<=n; i++) {
        u = arr[i].F; v = arr[i].S;
 
        _cnt[u]++, _cnt[v]++, _vec.pb({u, v}), tmp2 += 2;
    }
 
    int res2 = 0;
 
    for (auto cur: _cnt) {
        tmp += cur.S;
 
        // cout << cur.F << " " << cur.S << endl;
 
        if (tmp+tmp >= tmp2) {
            tmp = cur.F;
            break;
        }
    }
 
    for (auto cur:_cnt) res2 += abs(cur.F-tmp)*cur.S;
 
    tmp = tmp2 = 0;
 
    return res2+_vec.size();
}
 
 
/* Segment Tree */
#define mid ((l+r)>>1)
#define lid (id<<1)
#define rid (lid|1)
 
 
struct D {
    int sigmaL, sigmaR, cnt;
 
    D () {}
} seg[MAXN<<2], emp;
 
 
inline D merge(D x, D y) {
    D res;
 
    res.sigmaL = x.sigmaL+y.sigmaL;
    res.sigmaR = x.sigmaR+y.sigmaR;
    res.cnt = x.cnt+y.cnt;
 
    return res;
}
 
 
void add(int s, int ind, int l=0, int r=N, int id=1) {
    // if (id == 1) cout << "+ " << arr[ind].F << " " << arr[ind].S << " " << s << endl;
 
    if (l+1 == r) {
        seg[id].cnt++;
        seg[id].sigmaL += arr[ind].F;
        seg[id].sigmaR += arr[ind].S;
 
        return;
    }
 
    if (s < mid) add(s, ind, l, mid, lid);
    else add(s, ind, mid, r, rid);
 
    seg[id] = merge(seg[lid], seg[rid]);
}
 
 
void rem(int s, int ind, int l=0, int r=N, int id=1) {
    // if (id == 1) cout << "- " << arr[ind].F << " " << arr[ind].S << endl;
 
    if (l+1 == r) {
        seg[id].cnt--;
        seg[id].sigmaL -= arr[ind].F;
        seg[id].sigmaR -= arr[ind].S;
 
        return;
    }
 
    if (s < mid) rem(s, ind, l, mid, lid);
    else rem(s, ind, mid, r, rid);
 
    seg[id] = merge(seg[lid], seg[rid]);
}
 
 
D get(int s, int t, int l=0, int r=N, int id=1) {
    if (s >= t) return emp;
    if (s <= l && t >= r) return seg[id];
    if (t <= mid) return get(s, t, l, mid, lid);
    if (s >= mid) return get(s, t, mid, r, rid);
    return merge(get(s, t, l, mid, lid), get(s, t, mid, r, rid));
}
 
/* Segment Tree */
 
 
inline int cost(int x, int y) {
    int res = ps[0][x] + ps[1][y];
 
    D cur;
    cur = get(0, id(cmp[x]+cmp[y])); res += cur.sigmaL - cmp[x]*cur.cnt;
    cur = get(id(cmp[x]+cmp[y]), N); res += cmp[y]*cur.cnt - cur.sigmaR;
 
    return res;
}
 
 
inline int delta(int x, int y) {
    int res = cost(x, y+1)-cost(x, y);
 
    res += cnt[1][y].size()-(upper_bound(all(cnt[1][y]), x)-cnt[1][y].begin());
 
 
    return res;
}
 

inline int delta2(int x, int y) {
    int res = cost(x, y-1)-cost(x, y);
 
    res -= cnt[1][y].size()-(upper_bound(all(cnt[1][y]), x)-cnt[1][y].begin());
 
 
    return res;
}
 
 
int32_t main() {
    #ifdef LOCAL
    freopen("inp.in", "r", stdin);
    freopen("res.out", "w", stdout);
    #else
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    #endif
 
    cin >> k >> n;
 
    N = 0;
 
    for (int i=1; i<=n; i++) {
        cin >> ch >> u >> ch2 >> v;
 
        if (ch == ch2) res += abs(u-v);
        else arr[++N] = {u, v};
    }
 
    n = N; pre_ans = res; res += solve1();
 
    if (k == 1) kill(res);
 
    for (int i=1; i<=n; i++) {
        u = arr[i].F; v = arr[i].S;
        if (u > v) swap(arr[i].F, arr[i].S);
        pre_ans += abs(arr[i].F-arr[i].S)+1;
        cmp.pb(u); cmp.pb(v); cmp.pb(u+v);
    }
 
    sort(all(cmp));
    cmp.resize(unique(all(cmp))-cmp.begin());
    N = cmp.size(); emp.sigmaL = emp.sigmaR = emp.cnt = 0;
 
    // cout << "@ " << endl;
    // for (int u:cmp) cout << u << " ";
    // cout << endl;
 
 
    for (int i=1; i<=n; i++) {
        u = di[i].F = id(arr[i].F);
        v = di[i].S = id(arr[i].S);
 
        // cnt[0][u]++; cnt[1][v]++;
        cnt[0][u].pb(v); cnt[1][v].pb(u);
        vec[0][u].pb(i); vec[1][v].pb(i);
    }
 
    for (int i=0; i<N; i++) {
        sort(all(cnt[0][i]));
        sort(all(cnt[1][i]));
    }
 
    
    tmp = tmp2 = 0;
    
    for (int i=0; i<N; i++) {
        ps[0][i] = cmp[i]*tmp2-tmp;
 
        for (int ind:vec[1][i]) {
            tmp2++;
            tmp += arr[ind].S;
        }
    }
 
 
    tmp = tmp2 = 0;
    
    for (int i=N-1; i>=0; i--) {
        ps[1][i] = tmp-cmp[i]*tmp2;
 
        for (int ind:vec[0][i]) {
            tmp2++;
            tmp += arr[ind].F;
        }
    }
 
    // for (int i=1; i<=n; i++) add(id(arr[i].F+arr[i].S), i);
 
    ans = INF;
    int j = 1;
 
    for (int i=0; i<N; i++) {
        for (auto ind:vec[0][i]) {
            if (di[ind].S >= j) continue;
 
            rem(id(arr[ind].F+arr[ind].S), ind);
        }
 
        while (j+1 < N && (j <= i || delta(i, j) < 0)) {
            for (auto ind:vec[1][j]) {
                if (di[ind].F <= i) continue;
 
                add(id(arr[ind].F+arr[ind].S), ind);
            }
 
            j++;
        }

        while (j-1 > i && delta2(i, j) < 0) {
            for (auto ind:vec[1][j]) {
                if (di[ind].F <= i) continue;
 
                rem(id(arr[ind].F+arr[ind].S), ind);
            }
 
            j--;
        }
 
        // cout << "! " << i << " " << j << " " << pre_ans+2*cost(i, j) << endl;
 
        ans = min(ans, pre_ans+2*cost(i, j));
    }
 
 
    // cout << ans << " " << res << endl;
    cout << min(ans, res) << endl;
 
    
    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 97872 KB Output is correct
2 Correct 25 ms 97996 KB Output is correct
3 Correct 32 ms 98128 KB Output is correct
4 Correct 36 ms 98120 KB Output is correct
5 Correct 34 ms 98120 KB Output is correct
6 Correct 34 ms 98120 KB Output is correct
7 Correct 40 ms 98128 KB Output is correct
8 Correct 39 ms 98068 KB Output is correct
9 Correct 41 ms 98148 KB Output is correct
10 Correct 33 ms 98128 KB Output is correct
11 Correct 41 ms 98120 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 97872 KB Output is correct
2 Correct 42 ms 96640 KB Output is correct
3 Correct 41 ms 94800 KB Output is correct
4 Correct 48 ms 98888 KB Output is correct
5 Correct 47 ms 96584 KB Output is correct
6 Correct 35 ms 98128 KB Output is correct
7 Correct 36 ms 98020 KB Output is correct
8 Correct 38 ms 98128 KB Output is correct
9 Correct 37 ms 98132 KB Output is correct
10 Correct 36 ms 98128 KB Output is correct
11 Correct 36 ms 98112 KB Output is correct
12 Correct 56 ms 101712 KB Output is correct
13 Correct 150 ms 113592 KB Output is correct
14 Correct 63 ms 102084 KB Output is correct
15 Correct 81 ms 107192 KB Output is correct
16 Correct 47 ms 101828 KB Output is correct
17 Correct 95 ms 113592 KB Output is correct
18 Correct 91 ms 113604 KB Output is correct
19 Correct 97 ms 113024 KB Output is correct
20 Correct 44 ms 101828 KB Output is correct
21 Correct 82 ms 113592 KB Output is correct

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 97864 KB Output is correct
2 Correct 30 ms 98028 KB Output is correct
3 Correct 26 ms 98128 KB Output is correct
4 Correct 26 ms 98120 KB Output is correct
5 Incorrect 26 ms 98128 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 97872 KB Output is correct
2 Correct 27 ms 97872 KB Output is correct
3 Correct 29 ms 98120 KB Output is correct
4 Correct 29 ms 97992 KB Output is correct
5 Incorrect 31 ms 98120 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #5
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 97864 KB Output is correct
2 Correct 30 ms 97872 KB Output is correct
3 Correct 30 ms 98120 KB Output is correct
4 Correct 29 ms 98128 KB Output is correct
5 Incorrect 28 ms 98128 KB Output isn't correct
6 Halted 0 ms 0 KB -