Submission #596013

# Submission time Handle Problem Language Result Execution time Memory
596013 2022-07-14T09:16:49 Z 조영욱(#8444) Bodyguard (JOI21_bodyguard) C++17
13 / 100
5196 ms 402176 KB
#include <bits/stdc++.h>
using namespace std;

int n,q;
vector<long long> px;
vector<long long> py;
typedef pair<long long,long long> P;
typedef pair<P,P> PP;
typedef pair<PP,int> PPi;
vector<PPi> v;
int arr[5600][5600][2]; //0:x�� 1:y��
long long dp[5600][5600];

struct Node {
    P line;
    int l,r;
};

const long long INF=2e9+7;
vector<Node> seg;
Node emp={P(0,-INF*INF),-1,-1};

long long f(P a,long long x) {
    return a.first*x+a.second;
}

void insert(P x,int node=0,long long nodel=-INF,long long noder=INF){
    P low=seg[node].line;
    P high=x;
    long long mid=(nodel+noder)/2;
    if (f(low,nodel)>f(high,nodel)) {
        swap(low,high);
    }
    if (f(high,noder)>=f(low,noder)) {
seg[node].line=high;
        return;
    }
    if (f(low,mid)>=f(high,mid)) {
        seg[node].line=low;
        if (seg[node].l==-1) {
            seg[node].l=seg.size();
            seg.push_back(emp);
        }
        insert(high,seg[node].l,nodel,mid);
    }
    else {
        seg[node].line=high;
        if (seg[node].r==-1) {
            seg[node].r=seg.size();
            seg.push_back(emp);
        }
        insert(low,seg[node].r,mid+1,noder);
    }
}

long long gety(long long x){
    int node=0;
    int nodel=-INF;
    int noder=INF;
    long long ret=-4e18;
    while (node!=-1) {
        ret=max(ret,f(seg[node].line,x));
        long long mid=(nodel+noder)/2;
        if (x<=mid){
            node=seg[node].l;
            noder=mid;
        }
        else {
            node=seg[node].r;
            nodel=mid+1;
        }
    }
    return ret;
}

P query[3000000];
long long ret[3000000];
typedef pair<P,int> Pi;
vector<Pi> vec;

bool comp(Pi a,Pi b) {
    if (a.first.second==b.first.second) {
        return a.first.first<b.first.first;
    }
    return a.first.second<b.first.second;
}


int main() {
    scanf("%d %d",&n,&q);
    for(int i=0;i<n;i++) {
        long long t,a,b,c;
        scanf("%lld %lld %lld %lld",&t,&a,&b,&c);
        long long x1=t+a;
        long long y1=t-a;
        long long x2=t+abs(b-a)+b;
        long long y2=t+abs(b-a)-b;
        c/=2;
        v.push_back(PPi(PP(P(x1,y1),P(x2,y2)),c));
        px.push_back(x1);
        px.push_back(x2);
        py.push_back(y1);
        py.push_back(y2);
    }
    sort(px.begin(),px.end());
    px.erase(unique(px.begin(),px.end()),px.end());
    sort(py.begin(),py.end());
    py.erase(unique(py.begin(),py.end()),py.end());
    for(int i=0;i<n;i++) {
        v[i].first.first.first=lower_bound(px.begin(),px.end(),v[i].first.first.first)-px.begin();
        v[i].first.first.second=lower_bound(py.begin(),py.end(),v[i].first.first.second)-py.begin();
        v[i].first.second.first=lower_bound(px.begin(),px.end(),v[i].first.second.first)-px.begin();
        v[i].first.second.second=lower_bound(py.begin(),py.end(),v[i].first.second.second)-py.begin();
        if (v[i].first.first.second==v[i].first.second.second) {
            for(int j=v[i].first.first.first;j<v[i].first.second.first;j++) {
                arr[j][v[i].first.first.second][0]=max(arr[j][v[i].first.first.second][0],v[i].second);
            }
        }
        else {
            for(int j=v[i].first.first.second;j<v[i].first.second.second;j++) {
                arr[v[i].first.first.first][j][1]=max(arr[v[i].first.first.first][j][1],v[i].second);
            }
        }
    }
    for(int i=px.size()-1;i>=0;i--) {
        for(int j=py.size()-1;j>=0;j--) {
            if (i+1<px.size()) {
                dp[i][j]=max(dp[i][j],dp[i+1][j]+1LL*arr[i][j][0]*(px[i+1]-px[i]));
            }
            if (j+1<py.size()) {
                dp[i][j]=max(dp[i][j],dp[i][j+1]+1LL*arr[i][j][1]*(py[j+1]-py[j]));
            }
        }
    }
    for(int i=0;i<q;i++) {
        int t,pos;
        scanf("%d %d",&t,&pos);
        int x=t+pos;
        int y=t-pos;
        query[i]=P(x,y);
        int xind=lower_bound(px.begin(),px.end(),x)-px.begin();
        int yind=lower_bound(py.begin(),py.end(),y)-py.begin();
        if (xind==px.size()||yind==py.size()) {
            ret[i]=0;
            continue;
        }
        vec.push_back(Pi(P(xind,yind),i));
        ret[i]=dp[xind][yind];
    }
    sort(vec.begin(),vec.end());
    reverse(vec.begin(),vec.end());
    int ind=0;
    for(int i=px.size()-1;i>0;i--) {
        seg.clear();
        seg.push_back(emp);
        int pr=py.size();
        while (ind<vec.size()&&vec[ind].first.first==i) {
            for(int j=pr-1;j>=vec[ind].first.second;j--) {
                insert(P(-arr[i-1][j][0],1LL*arr[i-1][j][0]*px[i]+dp[i][j]));
                //printf(".%d %lld\n",-arr[i-1][j][0],1LL*arr[i-1][j][0]*px[i]+dp[i][j]);
            }
            pr=vec[ind].first.second;
            int now=vec[ind].second;
//printf("%d %lld\n",now,gety(query[now].first));
            ret[now]=max(ret[now],gety(query[now].first));
            ind++;
        }
    }
    sort(vec.begin(),vec.end(),comp);
    reverse(vec.begin(),vec.end());
    ind=0;
    for(int i=py.size()-1;i>0;i--) {
        seg.clear();
        seg.push_back(emp);
        int pr=px.size();
        while (ind<vec.size()&&vec[ind].first.second==i) {
            for(int j=pr-1;j>=vec[ind].first.first;j--) {
                insert(P(-arr[j][i-1][1],1LL*arr[j][i-1][1]*py[i]+dp[j][i]));
                //printf("%lld %lld\n",-arr[j][i-1][1],1LL*arr[j][i-1][1]*py[i]+dp[j][i]);
            }
            pr=vec[ind].first.first;
            int now=vec[ind].second;
            ret[now]=max(ret[now],gety(query[now].second));
            ind++;
        }
    }
    for(int i=0;i<q;i++) {
        printf("%lld\n",ret[i]);
    }
    return 0;
}

Compilation message

bodyguard.cpp: In function 'int main()':
bodyguard.cpp:127:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  127 |             if (i+1<px.size()) {
      |                 ~~~^~~~~~~~~~
bodyguard.cpp:130:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  130 |             if (j+1<py.size()) {
      |                 ~~~^~~~~~~~~~
bodyguard.cpp:143:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  143 |         if (xind==px.size()||yind==py.size()) {
      |             ~~~~^~~~~~~~~~~
bodyguard.cpp:143:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  143 |         if (xind==px.size()||yind==py.size()) {
      |                              ~~~~^~~~~~~~~~~
bodyguard.cpp:157:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  157 |         while (ind<vec.size()&&vec[ind].first.first==i) {
      |                ~~~^~~~~~~~~~~
bodyguard.cpp:176:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  176 |         while (ind<vec.size()&&vec[ind].first.second==i) {
      |                ~~~^~~~~~~~~~~
bodyguard.cpp:90:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   90 |     scanf("%d %d",&n,&q);
      |     ~~~~~^~~~~~~~~~~~~~~
bodyguard.cpp:93:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   93 |         scanf("%lld %lld %lld %lld",&t,&a,&b,&c);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
bodyguard.cpp:137:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  137 |         scanf("%d %d",&t,&pos);
      |         ~~~~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5196 ms 323228 KB Output is correct
2 Correct 4828 ms 325772 KB Output is correct
3 Correct 2566 ms 207296 KB Output is correct
4 Correct 1794 ms 133660 KB Output is correct
5 Correct 1746 ms 402176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 309 ms 278816 KB Output is correct
2 Correct 306 ms 278560 KB Output is correct
3 Correct 265 ms 275592 KB Output is correct
4 Correct 4 ms 852 KB Output is correct
5 Correct 263 ms 218328 KB Output is correct
6 Correct 240 ms 195392 KB Output is correct
7 Correct 293 ms 218396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 309 ms 278816 KB Output is correct
2 Correct 306 ms 278560 KB Output is correct
3 Correct 265 ms 275592 KB Output is correct
4 Correct 4 ms 852 KB Output is correct
5 Correct 263 ms 218328 KB Output is correct
6 Correct 240 ms 195392 KB Output is correct
7 Correct 293 ms 218396 KB Output is correct
8 Incorrect 747 ms 279208 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 309 ms 278816 KB Output is correct
2 Correct 306 ms 278560 KB Output is correct
3 Correct 265 ms 275592 KB Output is correct
4 Correct 4 ms 852 KB Output is correct
5 Correct 263 ms 218328 KB Output is correct
6 Correct 240 ms 195392 KB Output is correct
7 Correct 293 ms 218396 KB Output is correct
8 Incorrect 747 ms 279208 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5196 ms 323228 KB Output is correct
2 Correct 4828 ms 325772 KB Output is correct
3 Correct 2566 ms 207296 KB Output is correct
4 Correct 1794 ms 133660 KB Output is correct
5 Correct 1746 ms 402176 KB Output is correct
6 Correct 309 ms 278816 KB Output is correct
7 Correct 306 ms 278560 KB Output is correct
8 Correct 265 ms 275592 KB Output is correct
9 Correct 4 ms 852 KB Output is correct
10 Correct 263 ms 218328 KB Output is correct
11 Correct 240 ms 195392 KB Output is correct
12 Correct 293 ms 218396 KB Output is correct
13 Incorrect 747 ms 279208 KB Output isn't correct
14 Halted 0 ms 0 KB -