oj.uz

Submission #907422

# Submission time Handle Problem Language Result Execution time Memory
907422 2024-01-15T14:03:29 Z lighton Road Construction (JOI21_road_construction) C++17
65 / 100
 10000 ms 131680 KB 
#include <bits/stdc++.h>
#define forf(i,a,b) for(int i = a; i<=b; i++)
#define all(v) v.begin(),v.end()
#define comp(v) v.erase(unique(all(v)),v.end())
#define LB(i,v) lower_bound(all(v),i)-v.begin() // 1-based
#define UB(i,v) upper_bound(all(v),i)-v.begin()

#define fi first
#define se second
using namespace std;
typedef long long ll;
int N,K;
ll X[1000001],Y[1000001];
struct dot{
    ll x,y,id;
    bool operator<(const dot &r) const{
        if(x==r.x) return id<r.id;
        return x<r.x;
    }
} A[1000001];
vector<ll> xl,yl;
ll inf = 1e18;
ll ab(ll x){ return x<0?-x:x;}
struct Node{
    int val;
    int l,r;
} def = {0,0,0};
struct PST{
    vector<Node> node = {def};
    int root[1000001];
    void update(int now , int prv, int s, int e, int f, int x){
        if(s==e) {node[now].val = node[prv].val + x; return; }
        int m = s+e>>1;
        if(f<=m){
            node[now].l = node.size(); node[now].r = node[prv].r;
            node.push_back(def);
            update(node[now].l,node[prv].l,s,m,f,x);
        }
        else{
            node[now].r = node.size(); node[now].l = node[prv].l;
            node.push_back(def);
            update(node[now].r,node[prv].r,m+1,e,f,x);
        }
        node[now].val = node[node[now].l].val+node[node[now].r].val;
    }
    int query(int now ,int prv, int s, int e, int l ,int r){
        if(r<l) return 0;
        if(l<=s && e<=r) return node[now].val-node[prv].val;
        if(s>r || e<l) return 0;
        int m = s+e>>1;
        return query(node[now].l,node[prv].l,s,m,l,r)+query(node[now].r,node[prv].r,m+1,e,l,r);
    }
} pst;

void init(){
    forf(i,1,N){
        pst.root[i] = pst.node.size(); pst.node.push_back(def);
        pst.update(pst.root[i],pst.root[i-1],1,N,LB(A[i].y,yl)+1,1);
    }
}

ll findmin(ll x, ll y , int xs , int count){
    ll l = 0;
    ll r = 1e12;
    ll m;
    while(l+1<r){
        m = l+r>>1;
        int ys = LB(y-m,yl) + 1;
        int ye = UB(y+m,yl)-1 + 1;
        int xe = UB(x+m,xl)-1 + 1;
        int tmp = pst.query(pst.root[xe],pst.root[xs],1,N,ys,ye);
        if(tmp >= count) r=m;
        else l=m;
    }
    return r;
}

int cnt[1000001];
void solve(){
    init();
    priority_queue<pair<ll,int> > pq;
    forf(i,1,N) cnt[i] = 1;
    forf(i,1,N){
        pq.push({-findmin(A[i].x,A[i].y,i,cnt[i]) , i});
        cnt[i]++;
    }
    forf(trash,1,K) {
        printf("%lld\n", -pq.top().first);
        int i = pq.top().second;
        pq.pop();
        pq.push({-findmin(A[i].x,A[i].y,i,cnt[i]) , i});
        cnt[i]++;
    }
}

vector<ll> All;
void naive(){
    forf(i,1,N){
        forf(j,i+1,N){
            All.push_back(max(ab(X[i]-X[j]),ab(Y[i]-Y[j])));
        }
    }
    sort(all(All));
    forf(i,0,K-1) printf("%lld\n" , All[i]);
}


int main(){
    scanf("%d %d" , &N,&K);
    forf(i,1,N) scanf("%lld %lld" , &X[i] , &Y[i]);
    forf(i,1,N){
        ll x = X[i], y = Y[i];
        X[i] = x+y;
        Y[i] = x-y;
        A[i] = {X[i],Y[i],i};
        yl.push_back(Y[i]);
        xl.push_back(X[i]);
    }
    sort(all(yl)); comp(yl);
    sort(all(xl));
    sort(A+1,A+N+1);
    solve();
}

Compilation message

road_construction.cpp: In member function 'void PST::update(int, int, int, int, int, int)':
road_construction.cpp:33:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   33 |         int m = s+e>>1;
      |                 ~^~
road_construction.cpp: In member function 'int PST::query(int, int, int, int, int, int)':
road_construction.cpp:50:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   50 |         int m = s+e>>1;
      |                 ~^~
road_construction.cpp: In function 'll findmin(ll, ll, int, int)':
road_construction.cpp:67:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   67 |         m = l+r>>1;
      |             ~^~
road_construction.cpp: In function 'int main()':
road_construction.cpp:109:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  109 |     scanf("%d %d" , &N,&K);
      |     ~~~~~^~~~~~~~~~~~~~~~~
road_construction.cpp:110:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  110 |     forf(i,1,N) scanf("%lld %lld" , &X[i] , &Y[i]);
      |                 ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1508 ms 11504 KB Output is correct
2 Correct 1415 ms 11536 KB Output is correct
3 Correct 1177 ms 11452 KB Output is correct
4 Correct 1301 ms 11684 KB Output is correct
5 Correct 1483 ms 10168 KB Output is correct
6 Correct 12 ms 8856 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 8597 ms 128788 KB Output is correct
2 Correct 8330 ms 129776 KB Output is correct
3 Correct 1176 ms 11284 KB Output is correct
4 Correct 4210 ms 128612 KB Output is correct
5 Correct 5298 ms 129872 KB Output is correct
6 Correct 5524 ms 129496 KB Output is correct
7 Correct 4808 ms 129508 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6636 ms 130752 KB Output is correct
2 Correct 5920 ms 131680 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2628 ms 128900 KB Output is correct
5 Correct 2165 ms 130404 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6636 ms 130752 KB Output is correct
2 Correct 5920 ms 131680 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2628 ms 128900 KB Output is correct
5 Correct 2165 ms 130404 KB Output is correct
6 Correct 5898 ms 130272 KB Output is correct
7 Correct 5771 ms 131116 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 6032 ms 131124 KB Output is correct
11 Correct 2678 ms 129100 KB Output is correct
12 Correct 2078 ms 130700 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1508 ms 11504 KB Output is correct
2 Correct 1415 ms 11536 KB Output is correct
3 Correct 1177 ms 11452 KB Output is correct
4 Correct 1301 ms 11684 KB Output is correct
5 Correct 1483 ms 10168 KB Output is correct
6 Correct 12 ms 8856 KB Output is correct
7 Correct 9165 ms 47244 KB Output is correct
8 Correct 9315 ms 48160 KB Output is correct
9 Correct 1310 ms 12088 KB Output is correct
10 Correct 3806 ms 47900 KB Output is correct
11 Correct 4453 ms 46256 KB Output is correct
12 Correct 2255 ms 49244 KB Output is correct
13 Correct 2363 ms 45732 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1508 ms 11504 KB Output is correct
2 Correct 1415 ms 11536 KB Output is correct
3 Correct 1177 ms 11452 KB Output is correct
4 Correct 1301 ms 11684 KB Output is correct
5 Correct 1483 ms 10168 KB Output is correct
6 Correct 12 ms 8856 KB Output is correct
7 Correct 8597 ms 128788 KB Output is correct
8 Correct 8330 ms 129776 KB Output is correct
9 Correct 1176 ms 11284 KB Output is correct
10 Correct 4210 ms 128612 KB Output is correct
11 Correct 5298 ms 129872 KB Output is correct
12 Correct 5524 ms 129496 KB Output is correct
13 Correct 4808 ms 129508 KB Output is correct
14 Correct 6636 ms 130752 KB Output is correct
15 Correct 5920 ms 131680 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2628 ms 128900 KB Output is correct
18 Correct 2165 ms 130404 KB Output is correct
19 Correct 5898 ms 130272 KB Output is correct
20 Correct 5771 ms 131116 KB Output is correct
21 Correct 2 ms 8540 KB Output is correct
22 Correct 2 ms 8540 KB Output is correct
23 Correct 6032 ms 131124 KB Output is correct
24 Correct 2678 ms 129100 KB Output is correct
25 Correct 2078 ms 130700 KB Output is correct
26 Correct 9165 ms 47244 KB Output is correct
27 Correct 9315 ms 48160 KB Output is correct
28 Correct 1310 ms 12088 KB Output is correct
29 Correct 3806 ms 47900 KB Output is correct
30 Correct 4453 ms 46256 KB Output is correct
31 Correct 2255 ms 49244 KB Output is correct
32 Correct 2363 ms 45732 KB Output is correct
33 Execution timed out 10019 ms 130932 KB Time limit exceeded
34 Halted 0 ms 0 KB -