답안 #392981

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
392981 2021-04-22T13:22:20 Z nvmdava Road Construction (JOI21_road_construction) C++17
65 / 100
10000 ms 247508 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ff first
#define ss second
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int N = 1000005;
const ll MOD = 1000000007;
const ll INF = 0x3f3f3f3f3f3f3f3f;
 
vector<pair<ll, int> > s, d;
 
ll a[N], b[N];
int loc[N], w[N], rev[N];
 
vector<int> seg[N];
 
void build(int id, int l, int r){
    if(l == r){
        seg[id].push_back({w[l]});
        return;
    }
    int m = (l + r) >> 1;
    build(id << 1, l, m);
    build(id << 1 | 1, m + 1, r);
    int i1 = 0;
    int i2 = 0;
    while(i1 < seg[id << 1].size() && i2 < seg[id << 1 | 1].size()){
        if(seg[id << 1][i1] < seg[id << 1 | 1][i2])
            seg[id].push_back(seg[id << 1][i1++]);
        else
            seg[id].push_back(seg[id << 1 | 1][i2++]);
    }
    while(i1 < seg[id << 1].size())
        seg[id].push_back(seg[id << 1][i1++]);
    while(i2 < seg[id << 1 | 1].size())
        seg[id].push_back(seg[id << 1 | 1][i2++]);
}
int n;
ll k;
 
struct Node{
    Node *le, *ri;
    int cnt = 0;
    int query(int l, int r, int L, int R){
        if(l > R || r < L) return 0;
        if(L <= l && r <= R) return cnt;
        int m = (l + r) >> 1;
        return le -> query(l, m, L, R) + ri -> query(m + 1, r, L, R);
    }
    Node* update(int l, int r, int x){
        if(l > x || r < x) return this;
        Node* ret = new Node();
        if(l == r){
            ret -> cnt = 1;
            return ret;
        }
        ret -> le = le;
        ret -> ri = ri;
        int m = (l + r) >> 1;
        ret -> le = ret -> le -> update(l, m, x);
        ret -> ri = ret -> ri -> update(m + 1, r, x);
        ret -> cnt = ret -> le -> cnt + ret -> ri -> cnt;
        return ret;
    }
};
 
void buildd(Node* pnt, int l, int r){
    if(l == r) return;
    int m = (l + r) >> 1;
    pnt -> le = new Node();
    pnt -> ri = new Node();
    buildd(pnt -> le, l, m);
    buildd(pnt -> ri, m + 1, r);
}
 
Node* tree[N];
 
vector<ll> ans;
void find(int id, int l, int r, int L, int R, int le, int ri, int x){
    if(l > R || r < L) return;
    if(L <= l && r <= R){
        le = lower_bound(seg[id].begin(), seg[id].end(), le) - seg[id].begin();
        for(int i = le; i < seg[id].size() && seg[id][i] <= ri; ++i)
            ans.push_back(max(a[x] - a[seg[id][i]], abs(b[rev[x]] - b[rev[seg[id][i]]])));
        return;
    }
    int m = (l + r) >> 1;
    find(id << 1, l, m, L, R, le, ri, x);
    find(id << 1 | 1, m + 1, r, L, R, le, ri, x);
    return;
}
int l1[N], r1[N], l2[N], r2[N];
bool count(ll len, bool get){
    ll cnt = 0;
    l1[0] = 1;
    r1[0] = 0;
    l2[0] = 1;
    r2[0] = 1;
    for(int i = 1; i <= n; ++i){
        l1[i] = l1[i - 1];
        while(a[l1[i]] < a[i] - len)
            ++l1[i];
        r1[i] = i - 1;
        l2[i] = l2[i - 1];
        while(b[l2[i]] < b[i] - len)
            ++l2[i];
        r2[i] = r2[i - 1];
        while(r2[i] + 1 <= n && b[r2[i] + 1] <= b[i] + len)
            ++r2[i];
    }
    for(int i = n; i > 1; --i){
        if(l1[i] > r1[i] || l2[rev[i]] > r2[rev[i]]) continue;
        if(get)
            find(1, 1, n, l2[rev[i]], r2[rev[i]], l1[i], r1[i], i);
        else
            cnt += tree[r2[rev[i]]]->query(1, n, l1[i], r1[i]) - tree[l2[rev[i]] - 1]->query(1, n, l1[i], r1[i]);
        if(cnt >= k) return 0;
    }
    return 1;
}
 
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
 
    cin>>n>>k;
 
    for(int x, y, i = 1; i <= n; ++i){
        cin>>x>>y;
        s.push_back({x + y, i});
        d.push_back({x - y, i});
    }
    sort(s.begin(), s.end());
    sort(d.begin(), d.end());
 
    for(int i = 1; i <= n; ++i){
        a[i] = s[i - 1].ff;
        loc[s[i - 1].ss] = i;
    }
    for(int i = 1; i <= n; ++i){
        b[i] = d[i - 1].ff;
        w[i] = loc[d[i - 1].ss];
        rev[w[i]] = i;
    }
    build(1, 1, n);
    tree[0] = new Node();
    buildd(tree[0], 1, n);
    for(int i = 1; i <= n; ++i)
        tree[i] = tree[i - 1] -> update(1, n, w[i]);
    ll len = 0;
    for(int i = 32; i >= 0; --i)
        if(count((1LL << i) | len, 0))
            len |= 1LL << i;
    count(len, 1);
    sort(ans.begin(), ans.end());
    ++len;
    while(ans.size() < k)
        ans.push_back(len);
    for(auto& x : ans)
        cout<<x<<'\n';
}

Compilation message

road_construction.cpp: In function 'void build(int, int, int)':
road_construction.cpp:28:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |     while(i1 < seg[id << 1].size() && i2 < seg[id << 1 | 1].size()){
      |           ~~~^~~~~~~~~~~~~~~~~~~~~
road_construction.cpp:28:42: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |     while(i1 < seg[id << 1].size() && i2 < seg[id << 1 | 1].size()){
      |                                       ~~~^~~~~~~~~~~~~~~~~~~~~~~~~
road_construction.cpp:34:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   34 |     while(i1 < seg[id << 1].size())
      |           ~~~^~~~~~~~~~~~~~~~~~~~~
road_construction.cpp:36:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |     while(i2 < seg[id << 1 | 1].size())
      |           ~~~^~~~~~~~~~~~~~~~~~~~~~~~~
road_construction.cpp: In function 'void find(int, int, int, int, int, int, int, int)':
road_construction.cpp:84:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   84 |         for(int i = le; i < seg[id].size() && seg[id][i] <= ri; ++i)
      |                         ~~^~~~~~~~~~~~~~~~
road_construction.cpp: In function 'int main()':
road_construction.cpp:159:22: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
  159 |     while(ans.size() < k)
      |           ~~~~~~~~~~~^~~
# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 29240 KB Output is correct
2 Correct 76 ms 29064 KB Output is correct
3 Correct 70 ms 29092 KB Output is correct
4 Correct 68 ms 29072 KB Output is correct
5 Correct 68 ms 27972 KB Output is correct
6 Correct 22 ms 24416 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1912 ms 247508 KB Output is correct
2 Correct 1922 ms 245360 KB Output is correct
3 Correct 78 ms 28872 KB Output is correct
4 Correct 857 ms 245348 KB Output is correct
5 Correct 1768 ms 245456 KB Output is correct
6 Correct 1887 ms 245496 KB Output is correct
7 Correct 1570 ms 244648 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2940 ms 244068 KB Output is correct
2 Correct 2868 ms 240364 KB Output is correct
3 Correct 16 ms 23884 KB Output is correct
4 Correct 533 ms 240204 KB Output is correct
5 Correct 4335 ms 240144 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2940 ms 244068 KB Output is correct
2 Correct 2868 ms 240364 KB Output is correct
3 Correct 16 ms 23884 KB Output is correct
4 Correct 533 ms 240204 KB Output is correct
5 Correct 4335 ms 240144 KB Output is correct
6 Correct 5637 ms 240356 KB Output is correct
7 Correct 5492 ms 240152 KB Output is correct
8 Correct 16 ms 23884 KB Output is correct
9 Correct 16 ms 23884 KB Output is correct
10 Correct 4056 ms 240172 KB Output is correct
11 Correct 577 ms 240180 KB Output is correct
12 Correct 4679 ms 240240 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 29240 KB Output is correct
2 Correct 76 ms 29064 KB Output is correct
3 Correct 70 ms 29092 KB Output is correct
4 Correct 68 ms 29072 KB Output is correct
5 Correct 68 ms 27972 KB Output is correct
6 Correct 22 ms 24416 KB Output is correct
7 Correct 4279 ms 112832 KB Output is correct
8 Correct 3940 ms 111664 KB Output is correct
9 Correct 68 ms 29068 KB Output is correct
10 Correct 3267 ms 110948 KB Output is correct
11 Correct 1268 ms 110892 KB Output is correct
12 Correct 2188 ms 111680 KB Output is correct
13 Correct 1391 ms 110648 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 84 ms 29240 KB Output is correct
2 Correct 76 ms 29064 KB Output is correct
3 Correct 70 ms 29092 KB Output is correct
4 Correct 68 ms 29072 KB Output is correct
5 Correct 68 ms 27972 KB Output is correct
6 Correct 22 ms 24416 KB Output is correct
7 Correct 1912 ms 247508 KB Output is correct
8 Correct 1922 ms 245360 KB Output is correct
9 Correct 78 ms 28872 KB Output is correct
10 Correct 857 ms 245348 KB Output is correct
11 Correct 1768 ms 245456 KB Output is correct
12 Correct 1887 ms 245496 KB Output is correct
13 Correct 1570 ms 244648 KB Output is correct
14 Correct 2940 ms 244068 KB Output is correct
15 Correct 2868 ms 240364 KB Output is correct
16 Correct 16 ms 23884 KB Output is correct
17 Correct 533 ms 240204 KB Output is correct
18 Correct 4335 ms 240144 KB Output is correct
19 Correct 5637 ms 240356 KB Output is correct
20 Correct 5492 ms 240152 KB Output is correct
21 Correct 16 ms 23884 KB Output is correct
22 Correct 16 ms 23884 KB Output is correct
23 Correct 4056 ms 240172 KB Output is correct
24 Correct 577 ms 240180 KB Output is correct
25 Correct 4679 ms 240240 KB Output is correct
26 Correct 4279 ms 112832 KB Output is correct
27 Correct 3940 ms 111664 KB Output is correct
28 Correct 68 ms 29068 KB Output is correct
29 Correct 3267 ms 110948 KB Output is correct
30 Correct 1268 ms 110892 KB Output is correct
31 Correct 2188 ms 111680 KB Output is correct
32 Correct 1391 ms 110648 KB Output is correct
33 Execution timed out 10084 ms 240308 KB Time limit exceeded
34 Halted 0 ms 0 KB -