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Submission #417446

# Submission time Handle Problem Language Result Execution time Memory
417446 2021-06-03T17:49:00 Z doowey Autobahn (COI21_autobahn) C++14
100 / 100
 717 ms 61672 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

const int N = (int)1e6 + 10;
int T[N];
int L[N];
int R[N];

vector<int> imp;
vector<pii> segm;
int cnt[N];
int ban[N];
struct Node{
    ll val;
    int cnt;
    ll lzy;
};

Node TR[N * 4 + 512];

void push(int node, int cl, int cr){
    TR[node].val += TR[node].lzy * 1ll * (segm[cr].se - segm[cl].fi + 1);
    TR[node].cnt += TR[node].lzy;
    if(cl != cr){
        TR[node * 2].lzy += TR[node].lzy;
        TR[node * 2 + 1].lzy += TR[node].lzy;
    }
    TR[node].lzy = 0;
}

void upd(int node, int cl, int cr, int tl, int tr, int v){
    push(node, cl, cr);
    if(cr < tl || cl > tr) return;
    if(cl >= tl && cr <= tr){
        TR[node].lzy = v;
        push(node, cl, cr);
        return;
    }
    int mid =(cl + cr) / 2;
    upd(node * 2, cl, mid, tl, tr, v);
    upd(node * 2 + 1, mid + 1, cr, tl, tr, v);
    TR[node].val = TR[node * 2].val + TR[node * 2 + 1].val;
}

int getcnt(int node, int cl, int cr, int iq){
    push(node, cl, cr);
    if(cl == cr)
        return TR[node].cnt;
    int mid = (cl + cr) / 2;
    if(mid >= iq)
        return getcnt(node * 2, cl, mid, iq);
    else
        return getcnt(node * 2 + 1, mid + 1, cr, iq);
}

ll get(int node, int cl, int cr, int tl, int tr){
    push(node, cl, cr);
    if(cr < tl || cl > tr) return 0ll;
    if(cl >= tl && cr <= tr){
        return TR[node].val;
    }
    int mid = (cl + cr) / 2;
    return get(node * 2, cl, mid, tl, tr) + get(node * 2 + 1, mid + 1, cr, tl, tr);
}

void build(int node, int cl, int cr){
    if(cl == cr){
        TR[node].val = (segm[cr].se - segm[cl].fi + 1) * 1ll * ban[cl];
        TR[node].cnt = ban[cl];
        return;
    }
    int mid = (cl + cr) / 2;
    build(node * 2, cl, mid);
    build(node * 2 + 1, mid + 1, cr);
    TR[node].val = TR[node * 2].val + TR[node * 2 + 1].val;
    TR[node].cnt = TR[node * 2].cnt + TR[node * 2 + 1].cnt;
}

int main(){
    fastIO;
    int n, k, x;
    cin >> n >> k >> x;

    for(int i = 1; i <= n; i ++ ){
        cin >> L[i] >> T[i] >> R[i];
        imp.push_back(L[i]);
        imp.push_back(R[i]);
        if(L[i] + T[i] <= R[i]){
            imp.push_back(L[i] + T[i]);
        }
    }


    sort(imp.begin(), imp.end());
    imp.resize(unique(imp.begin(), imp.end()) - imp.begin());

    for(int i = 0 ; i < imp.size(); i ++ ){
        segm.push_back(mp(imp[i], imp[i]));
        if(i + 1 < imp.size()){
            if(imp[i] + 1 <= imp[i + 1] - 1)
                segm.push_back(mp(imp[i] + 1, imp[i + 1] - 1));
        }
    }
    int m = segm.size();
    int lf, rf;
    for(int i = 1; i <= n; i ++ ){
        lf = lower_bound(segm.begin(), segm.end(), mp(L[i], L[i])) - segm.begin();
        rf = lower_bound(segm.begin(), segm.end(), mp(R[i], R[i])) - segm.begin();
        cnt[lf] ++ ;
        cnt[rf + 1] -- ;
        if(L[i] + T[i] <= R[i]){
            lf = lower_bound(segm.begin(), segm.end(), mp(L[i] + T[i], L[i] + T[i])) - segm.begin();
            ban[lf] ++ ;
            ban[rf + 1] -- ;
        }
    }
    ll res = 0;
    for(int i = 1; i < m ; i ++ ){
        cnt[i] += cnt[i - 1];
        ban[i] += ban[i - 1];
    }
    for(int i = 0 ; i < m ; i ++ ){
        if(cnt[i] < k){
            ban[i] = 0;
        }
    }
    build(1, 0, m - 1);
    int iqx;
    int nex;
    int las;
    ll val;
    int cc;
    for(int i = 0 ; i < m ; i ++ ){
        if(ban[i] == 0) continue;
        las = lower_bound(segm.begin(), segm.end(), mp(segm[i].fi + x, -1)) - segm.begin();
        if(las == m) las ++ ;
        las -- ;
        val = get(1, 0, m - 1, i, las - 1);
        if(las < m){
            cc = getcnt(1, 0, m - 1, las);
            val += max(0,((segm[i].fi + x - 1) - segm[las].fi + 1)) * 1ll * cc;
        }
        res = max(res, val);


        las = lower_bound(segm.begin(), segm.end(), mp(segm[i].se - x + 1, -1)) - segm.begin();
        val = get(1, 0, m - 1, las, i);
        if(las > 0){
            cc = getcnt(1, 0, m - 1, las - 1);
            val += max(0,(segm[las - 1].se - (segm[i].se - x + 1) + 1)) * 1ll * cc;
        }
        res = max(res, val);

    }

    cout << res << "\n";
    return 0;
}

Compilation message

autobahn.cpp: In function 'int main()':
autobahn.cpp:106:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |     for(int i = 0 ; i < imp.size(); i ++ ){
      |                     ~~^~~~~~~~~~~~
autobahn.cpp:108:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |         if(i + 1 < imp.size()){
      |            ~~~~~~^~~~~~~~~~~~
autobahn.cpp:137:9: warning: unused variable 'iqx' [-Wunused-variable]
  137 |     int iqx;
      |         ^~~
autobahn.cpp:138:9: warning: unused variable 'nex' [-Wunused-variable]
  138 |     int nex;
      |         ^~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 2 ms 460 KB Output is correct
13 Correct 2 ms 460 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 2 ms 460 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 2 ms 460 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 2 ms 460 KB Output is correct
13 Correct 2 ms 460 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 2 ms 460 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 713 ms 61364 KB Output is correct
22 Correct 717 ms 61352 KB Output is correct
23 Correct 673 ms 61380 KB Output is correct
24 Correct 562 ms 61420 KB Output is correct
25 Correct 631 ms 61520 KB Output is correct
26 Correct 537 ms 61352 KB Output is correct
27 Correct 417 ms 61356 KB Output is correct
28 Correct 418 ms 61672 KB Output is correct
29 Correct 414 ms 61420 KB Output is correct