Submission #583599

#	Time	Username	Problem	Language	Result	Execution time	Memory
583599		HIR180	Bulldozer (JOI17_bulldozer)	C++17	80 / 100	901 ms	66292 KiB

bulldozer

//Let's join Kaede Takagaki Fan Club !!
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <ctime>
#include <cassert>
#include <string>
#include <algorithm>
#include <vector>
#include <queue>
#include <stack>
#include <functional>
#include <iostream>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <cassert>
#include <iomanip>
#include <chrono>
#include <random>
#include <bitset>
#include <complex>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#include <algorithm>

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

}  // namespace internal

}  // namespace atcoder

#include <cassert>
#include <vector>

namespace atcoder {

template <class S, S (*op)(S, S), S (*e)()> struct segtree {
  public:
    segtree() : segtree(0) {}
    segtree(int n) : segtree(std::vector<S>(n, e())) {}
    segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = internal::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        return d[p + size];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        S sml = e(), smr = e();
        l += size;
        r += size;

        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }
        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    template <bool (*f)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return f(x); });
    }
    template <class F> int max_right(int l, F f) {
        assert(0 <= l && l <= _n);
        assert(f(e()));
        if (l == _n) return _n;
        l += size;
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!f(op(sm, d[l]))) {
                while (l < size) {
                    l = (2 * l);
                    if (f(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*f)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return f(x); });
    }
    template <class F> int min_left(int r, F f) {
        assert(0 <= r && r <= _n);
        assert(f(e()));
        if (r == 0) return 0;
        r += size;
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(d[r], sm))) {
                while (r < size) {
                    r = (2 * r + 1);
                    if (f(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int _n, size, log;
    std::vector<S> d;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};

}  // namespace atcoder

using namespace std;
using namespace atcoder;
#define int long long
//#define L __int128
typedef long long ll;
typedef pair<int,int> P;
typedef pair<int,P> P1;
typedef pair<P,P> P2;
#define pu push
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define eps 1e-7
#define INF 1000000000
#define a first
#define b second
#define fi first
#define sc second
//#define rng(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define rep(i,x) for(int i=0;i<x;i++)
#define repn(i,x) for(int i=1;i<=x;i++)
#define SORT(x) sort(x.begin(),x.end())
#define ERASE(x) x.erase(unique(x.begin(),x.end()),x.end())
#define POSL(x,v) (lower_bound(x.begin(),x.end(),v)-x.begin())
#define POSU(x,v) (upper_bound(x.begin(),x.end(),v)-x.begin())
#define all(x) x.begin(),x.end()
#define si(x) int(x.size())
#define pcnt(x) __builtin_popcountll(x)

#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
 
template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}
 
template<class t> using vc=vector<t>;
 
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.fi<<","<<p.sc<<"}";
}
 
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}
 
 //https://codeforces.com/blog/entry/62393
struct custom_hash {
	static uint64_t splitmix64(uint64_t x) {
		// http://xorshift.di.unimi.it/splitmix64.c
		x += 0x9e3779b97f4a7c15;
		x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
		x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
		return x ^ (x >> 31);
	}
 
	size_t operator()(uint64_t x) const {
		static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
		return splitmix64(x + FIXED_RANDOM);
	}
	//don't make x negative!
	size_t operator()(pair<int,int> x)const{
		return operator()(uint64_t(x.first)<<32|x.second);
	}
};
//unordered_set -> dtype, null_type
//unordered_map -> dtype(key), dtype(value)
using namespace __gnu_pbds;
template<class t,class u>
using hash_table=gp_hash_table<t,u,custom_hash>;

template<class T>
void g(T &a){
	cin >> a;
}
template<class T>
void o(const T &a,bool space=false){
	cout << a << (space?' ':'\n');
}
//ios::sync_with_stdio(false);
const ll mod = 998244353;
//const ll mod = 1000000007;
mt19937_64 mt(chrono::steady_clock::now().time_since_epoch().count());
template<class T>
void add(T&a,T b){
	a+=b;
	if(a >= mod) a-=mod;
}
ll modpow(ll x,ll n){
	ll res=1;
	while(n>0){
		if(n&1) res=res*x%mod;
		x=x*x%mod;
		n>>=1;
	}
	return res;
}
#define _sz 1
ll F[_sz],R[_sz];
void make(){
	F[0] = 1;
	for(int i=1;i<_sz;i++) F[i] = F[i-1]*i%mod;
	R[_sz-1] = modpow(F[_sz-1], mod-2);
	for(int i=_sz-2;i>=0;i--) R[i] = R[i+1] * (i+1) % mod;
}
ll C(int a,int b){
	if(b < 0 || a < b) return 0;
	return F[a]*R[b]%mod*R[a-b]%mod;
}
//o(ans?"Yes":"No");
//internal, prefix, suffix, sum
using S = array<int, 4>;
S op(S a, S b){
	S c{};
	c[3] = a[3] + b[3];
	c[2] = max(b[2], a[2]+b[3]);
	c[1] = max(a[1], a[3]+b[1]);
	c[0] = max(max(a[0], b[0]), a[2]+b[1]);
	return c;
}
S e(){
	return S{(int)-1e18, (int)-1e18, (int)-1e18, 0};
}
int n, x[2005], y[2005], c[2005];
void solve(){
	cin >> n;
	vc<P1>vec(n);
	rep(i, n) cin >> vec[i].b.a >> vec[i].b.b >> vec[i].a;
	
	sort(all(vec), [](P1 a, P1 b){
		return mp(a.b.b, a.b.a) < mp(b.b.b, b.b.a);
	});
	
	using d = long double;
	vc<pair<d,P>>ev;
	
	rep(i, n) for(int j=i+1;j<n;j++){
		auto p1 = vec[i].b;
		auto p2 = vec[j].b;
		if(p1 > p2) swap(p1, p2);
		int dx = p2.a - p1.a;
		int dy = p2.b - p1.b;
		
		if(p1.b <= p2.b){
			ev.eb(atan2((d)dy, (d)dx), mp(i, j));
		}
		else{
			ev.eb(atan2((d)dy*-1, (d)dx*-1), mp(i, j));
		}
	}
	
	SORT(ev);
	
	segtree<S, op, e>seg(n+2);
	rep(i, vec.size()){
		int a = vec[i].a;
		seg.set(i, S{max(0LL,a), max(0LL,a), max(0LL,a), a});
	}
	vc<int>ar(n), rev(n);
	rep(i, n) ar[i] = rev[i] = i;
	int ans = seg.all_prod().at(0);
	rep(_, ev.size()){
		d deg = ev[_].a;
		int u = ev[_].b.a;
		int v = ev[_].b.b;
		
		if(rev[u] < rev[v]){
			//swap
			seg.set(rev[u], S{max(0LL, vec[v].a), max(0LL, vec[v].a), max(0LL, vec[v].a), vec[v].a});
			seg.set(rev[v], S{max(0LL, vec[u].a), max(0LL, vec[u].a), max(0LL, vec[u].a), vec[u].a});
			
			swap(rev[u], rev[v]);
			swap(ar[rev[u]], ar[rev[v]]);
		}
		
		if(_+1 == ev.size() or ev[_].a+1e-12 < ev[_+1].a){
			chmax(ans, seg.all_prod().at(0));
		}
	}
	o(ans);
}
signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	int t; t = 1; //cin >> t;
	while(t--) solve();
}

Compilation message (stderr)

bulldozer.cpp: In function 'void solve()':
bulldozer.cpp:194:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, std::pair<long long int, long long int> >, std::allocator<std::pair<long long int, std::pair<long long int, long long int> > > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  194 | #define rep(i,x) for(int i=0;i<x;i++)
......
  334 |  rep(i, vec.size()){
      |      ~~~~~~~~~~~~~             
bulldozer.cpp:334:2: note: in expansion of macro 'rep'
  334 |  rep(i, vec.size()){
      |  ^~~
bulldozer.cpp:194:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long double, std::pair<long long int, long long int> >, std::allocator<std::pair<long double, std::pair<long long int, long long int> > > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  194 | #define rep(i,x) for(int i=0;i<x;i++)
......
  341 |  rep(_, ev.size()){
      |      ~~~~~~~~~~~~              
bulldozer.cpp:341:2: note: in expansion of macro 'rep'
  341 |  rep(_, ev.size()){
      |  ^~~
bulldozer.cpp:355:10: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long double, std::pair<long long int, long long int> >, std::allocator<std::pair<long double, std::pair<long long int, long long int> > > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  355 |   if(_+1 == ev.size() or ev[_].a+1e-12 < ev[_+1].a){
      |      ~~~~^~~~~~~~~~~~
bulldozer.cpp:342:5: warning: unused variable 'deg' [-Wunused-variable]
  342 |   d deg = ev[_].a;
      |     ^~~

• Subtask 1: 5 / 5
• Subtask 2: 20 / 20
• Subtask 3: 35 / 35
• Subtask 4: 20 / 20
• Subtask 5: 0 / 20