Submission #970666

# Submission time Handle Problem Language Result Execution time Memory
970666 2024-04-27T04:04:49 Z yeediot Divide and conquer (IZhO14_divide) C++17
100 / 100
60 ms 17344 KB
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
void setIO(string s) {
    freopen((s + ".in").c_str(), "r", stdin);
    freopen((s + ".out").c_str(), "w", stdout);
}
struct line{
    int a,b;
    int operator()(const int x)const{
        return a*x+b;
    }
};
bool check(line l1,line l2,line l3){
    return (l3.b-l2.b)*(l1.a-l2.a)<=(l2.b-l1.b)*(l2.a-l3.a);
}
struct node{
    int x,g,d;
    bool operator < (const node b)const{
        return x<b.x;
    }
};
const int mxn=2e5+5;
vector<node>v;
int pre[mxn];
int preg[mxn];
vector<int>temp;
int n;
struct segtree{
    int seg[4*mxn];
    int getid(int x){
        return lower_bound(all(temp),x)-temp.begin()+1;
    }
    void build(int l=1,int r=2*n,int id=1){
        seg[id]=-8e18;
        if(l==r){
            return ;
        }
        int mm=l+r>>1;
        build(l,mm,id*2);
        build(mm+1,r,id*2+1);
    }
    void modify(int l,int r,int id,int p,int v){
        if(l==r){
            seg[id]=max(seg[id],v);
            return ;
        }
        int mm=l+r>>1;
        if(p<=mm){
            modify(l,mm,id*2,p,v);
        }
        else{
            modify(mm+1,r,id*2+1,p,v);
        }
        seg[id]=max(seg[id*2],seg[id*2+1]);
    }
    void modify(int p,int v){
        modify(1,2*n,1,p,v);
    }
    int query(int l,int r,int id,int ql,int qr){
        if(qr<l or r<ql){
            return -8e18;
        }
        if(ql<=l and r<=qr){
            return seg[id];
        }
        int mm=l+r>>1;
        return max(query(l,mm,id*2,ql,qr),query(mm+1,r,id*2+1,ql,qr));
    }
    int query(int ql,int qr){
        return query(1,2*n,1,ql,qr);
    }
}tr;
signed main(){
    setio();
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin>>n;
    v.pb({-1,0,0});
    for(int i=0;i<n;i++){
        int x,g,d;
        cin>>x>>g>>d;
        v.pb({x,g,d});
    }
    sort(all(v));
    for(int i=1;i<=n;i++){
        pre[i]=pre[i-1]+v[i].d;
        preg[i]=preg[i-1]+v[i].g;
        temp.pb(pre[i]-v[i].x);
        temp.pb({pre[i-1]-v[i].x});
    }
    sort(all(temp));
    temp.resize(unique(all(temp))-temp.begin());
    tr.build();
    int ans=0;
    for(int i=1;i<=n;i++){
        tr.modify(tr.getid(pre[i-1]-v[i].x),-preg[i-1]);
        chmax(ans,preg[i]+tr.query(1,tr.getid(pre[i]-v[i].x)));
        debug(ans);
    }
    cout<<ans<<'\n';
}
 /*
 input:
 pree[r]-pree[l-1]>=x[r]-x[l]
 pree[r]-x[r]>=pree[l-1]-x[l]
 */















 

Compilation message

divide.cpp: In member function 'void segtree::build(long long int, long long int, long long int)':
divide.cpp:76:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   76 |         int mm=l+r>>1;
      |                ~^~
divide.cpp: In member function 'void segtree::modify(long long int, long long int, long long int, long long int, long long int)':
divide.cpp:85:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   85 |         int mm=l+r>>1;
      |                ~^~
divide.cpp: In member function 'long long int segtree::query(long long int, long long int, long long int, long long int, long long int)':
divide.cpp:104:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  104 |         int mm=l+r>>1;
      |                ~^~
divide.cpp: In function 'void setIO(std::string)':
divide.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   42 |     freopen((s + ".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
divide.cpp:43:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   43 |     freopen((s + ".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 2 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 2 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2512 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2524 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2648 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct
23 Correct 3 ms 5148 KB Output is correct
24 Correct 3 ms 5056 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 2 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2512 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2524 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2648 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 2 ms 2652 KB Output is correct
23 Correct 3 ms 5148 KB Output is correct
24 Correct 3 ms 5056 KB Output is correct
25 Correct 3 ms 5144 KB Output is correct
26 Correct 5 ms 5464 KB Output is correct
27 Correct 6 ms 5460 KB Output is correct
28 Correct 26 ms 9312 KB Output is correct
29 Correct 27 ms 9672 KB Output is correct
30 Correct 56 ms 17344 KB Output is correct
31 Correct 57 ms 15804 KB Output is correct
32 Correct 51 ms 16572 KB Output is correct
33 Correct 54 ms 15804 KB Output is correct
34 Correct 58 ms 15816 KB Output is correct
35 Correct 52 ms 16320 KB Output is correct
36 Correct 60 ms 17200 KB Output is correct