Submission #355125

# Submission time Handle Problem Language Result Execution time Memory
355125 2021-01-22T09:18:39 Z ryansee Comparing Plants (IOI20_plants) C++14
30 / 100
4000 ms 212060 KB
#include "plants.h"
 
#include "bits/stdc++.h"
using namespace std;
 
#define FAST ios_base::sync_with_stdio(false); cin.tie(0);
#define pb push_back
#define eb emplace_back
#define ins insert
#define f first
#define s second
#define cbr cerr<<"hi\n"
#define mmst(x, v) memset((x), v, sizeof ((x)))
#define siz(x) ll(x.size())
#define all(x) (x).begin(), (x).end()
#define lbd(x,y) (lower_bound(all(x),y)-x.begin())
#define ubd(x,y) (upper_bound(all(x),y)-x.begin())
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());    //can be used by calling rng() or shuffle(A, A+n, rng)
inline long long rand(long long x, long long y) { return rng() % (y+1-x) + x; } //inclusivesss
string inline to_string(char c) {string s(1,c);return s;} template<typename T> inline T gcd(T a,T b){ return a==0?llabs(b):gcd(b%a,a); }
 
using ll=int; 
using ld=long double;
#define FOR(i,s,e) for(ll i=s;i<=ll(e);++i)
#define DEC(i,s,e) for(ll i=s;i>=ll(e);--i)
using pi=pair<ll,ll>; using spi=pair<ll,pi>; using dpi=pair<pi,pi>; 
 
long long LLINF = 1e18;
int INF = 1e9+1e6;
#define MAXN (200002)
 
int n, start, k;
vector<int> R;
ll A[MAXN*2];
inline int cy(ll x) {
	if(x < 0) x += n;
	if(x >= n) x -= n;
	return x;
}
int dist(int x,int y) {
	if(x > y) swap(x, y);
	return min(y-x, n-y+x);	
}

struct node {
	int s,e,m;
	spi v;
	ll lazy[3];
	node*l,*r;
	node(int S,int E){
		s=S,e=E,m=(s+e)>>1;
		v=spi(INF, pi(0, -1)), mmst(lazy, 0);
		if(s^e)l=new node(s,m),r=new node(m+1,e),v=min(l->v,r->v);
		else v=spi(R[s], pi(0, s));
	}
	void value() {
		v.f += lazy[0], v.s.f += lazy[1];
		if(s^e) FOR(i,0,1) l->lazy[i]+=lazy[i], r->lazy[i]+=lazy[i];
		lazy[0]=lazy[1]=0;
	}
	void update(int x,int y,pi nval) {
		if(s==x&&e==y) {
			if(nval.s <= 1) lazy[nval.s] += nval.f;
			else lazy[nval.s] = max(lazy[nval.s], nval.f);
			return;
		}
		if(x>m) r->update(x,y,nval);
		else if(y<=m) l->update(x,y,nval);
		else l->update(x,m,nval),r->update(m+1,y,nval);
		l->value(), r->value();
		v=min(l->v,r->v);
	}
	spi rmq(int x,int y) {
		value();
		if(s==x&&e==y) return v;
		if(x>m) return r->rmq(x,y);
		else if(y<=m) return l->rmq(x,y);
		else return min(l->rmq(x,m),r->rmq(m+1,y));
	}
	void set(int x,ll add=0) {
		value();
		add = max(add, lazy[2]);
		if(s==e) {
			A[s] = add;
			v = spi(INF, pi(0, -1));
			return;
		}
		if(x>m) r->set(x, add);
		else l->set(x, add);
		l->value(), r->value();
		v = min(l->v, r->v);
	}
} *seg;
void update(int x,int y,pi nval) {
	x=cy(x), y=cy(y);
	if(x<=y) seg->update(x,y,nval);
	else seg->update(x,n-1,nval), seg->update(0,y,nval);
}
spi rmq(int x,int y) {
	x=cy(x), y=cy(y);
	if(x<=y) return seg->rmq(x, y);
	else return min(seg->rmq(x, n-1), seg->rmq(0, y));
}
struct node2 {
	int s,e,m;
	pi v;
	node2*l,*r;
	node2(int S,int E){
		s=S,e=E,m=(s+e)>>1;
		v = pi(-INF, -1);
		if(s^e)l=new node2(s,m),r=new node2(m+1,e);
	}
	pi rmq(int x,int y) {
		if(s==x&&e==y) return v;
		if(x>m) return r->rmq(x, y);
		else if(y<=m) return l->rmq(x, y);
		else return max(l->rmq(x, m), r->rmq(m+1, y));
	}
	void set(int x) {
		if(s==e) {
			v = pi(A[s], s);
			return;
		}
		if(x>m) r->set(x);
		else l->set(x);
		v = max(l->v, r->v);
	}
} *seg2;
struct tree {
	int p[19][MAXN*2];
	bitset<MAXN*2> r;
	vector<int> v[MAXN*2];
	tree() {
		mmst(p, 0), r.set();
	}
	void add(int x,int y) {
		if(y==-1||x==y) return;
		r[x]=0, v[y].eb(x);
	}
	void solve() {
		function<void(ll)>dfs=[&](int x) {
			for(auto i:v[x]) p[0][i]=x, dfs(i);
		};
		FOR(i,0,2*n-1) if(r[i]) p[0][i]=2*n, dfs(i);
		FOR(j,1,18) FOR(i,0,2*n-1) if(p[j-1][i]==2*n) p[j][i]=2*n; else p[j][i]=p[j-1][p[j-1][i]];
	}
	inline int h(int x,int l) {
		DEC(i,18,0) if(p[i][x] < l) x = p[i][x];
		return p[0][x];
	}
} t[2];
void init(int K, std::vector<int> r) { k=K, R=r;
	n=r.size();
	seg=new node(0, n-1);
	FOR(i,0,n-1) if(r[i]==0) update(i+1, i+k-1, pi(1, 1));
	while(1) {
		start = seg->rmq(0, n-1).s.s;
		if(start == -1) break;
		seg->set(start);
		update(start+1, start+k-1, pi(A[start]+1, 2));
		update(start+1, start+k-1, pi(-1, 1));
		update(start-k+1, start-1, pi(A[start]+1, 2));
		update(start-k+1, start-1, pi(-1, 0));
		vector<int> tmp;
		while(1) {
			spi x = rmq(start-k+1, start-1);
			if(x.f == 0) {
				tmp.eb(x.s.s);
				update(x.s.s+1, x.s.s+k-1, pi(1, 1));
				update(x.s.s, x.s.s, pi(1, 0));
			} else break;
		}
		for(auto i:tmp) update(i, i, pi(-1, 0));
	}
	vector<int> p;
	FOR(i,0,n-1) p.eb(i), p.eb(i+n), A[i+n]=A[i];
	sort(all(p), [](int x,int y){return A[x]<A[y];});
	seg2=new node2(0, 2*n-1);
	for(auto i:p) {
		int target = seg2->rmq(i, min(2*n-1, i+k-1)).s; // connect to shortest tower within k that is taller than you
		t[0].add(i, target);
		seg2->set(i);
	}
	sort(all(p), [](int x,int y){return A[x]>A[y];});
	FOR(i,0,2*n-1) A[i] = -A[i];
	seg2=new node2(0, 2*n-1);
	for(auto i:p) {
		int target = seg2->rmq(i, min(2*n-1, i+k-1)).s;
		t[1].add(i, target);
		seg2->set(i);
	}
	FOR(i,0,2*n-1) A[i] = -A[i];
	FOR(i,0,1) t[i].solve();
}
int compare_plants(int x, int y) {
	if(dist(x, y) < k) {
		return A[x] < A[y] ? 1 : -1;
	}
	int i = t[0].h(x, y);
	if(i <= y+k-1 && A[y] <= A[i]) {
		return -1;
	}
	i = t[1].h(x, y);
	if(i <= y+k-1 && A[y] >= A[i]) {
		return 1;
	}
	swap(x, y);
	y += n;
	i = t[0].h(x, y);
	if(i <= min(2*n-1, y+k-1) && A[y] <= A[i]) {
		return 1;
	}
	i = t[1].h(x, y);
	if(i <= min(2*n-1, y+k-1) && A[y] >= A[i]) {
		return -1;
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 43 ms 78700 KB Output is correct
2 Correct 43 ms 78700 KB Output is correct
3 Correct 43 ms 78700 KB Output is correct
4 Correct 44 ms 78700 KB Output is correct
5 Correct 43 ms 78700 KB Output is correct
6 Correct 126 ms 81516 KB Output is correct
7 Correct 350 ms 93256 KB Output is correct
8 Correct 2303 ms 199388 KB Output is correct
9 Correct 2454 ms 199260 KB Output is correct
10 Correct 2216 ms 199652 KB Output is correct
11 Correct 2037 ms 201564 KB Output is correct
12 Correct 1930 ms 205868 KB Output is correct
13 Correct 1588 ms 212060 KB Output is correct
14 Correct 1561 ms 211764 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 78700 KB Output is correct
2 Correct 43 ms 78700 KB Output is correct
3 Correct 46 ms 78700 KB Output is correct
4 Correct 44 ms 78700 KB Output is correct
5 Correct 45 ms 78828 KB Output is correct
6 Correct 55 ms 79468 KB Output is correct
7 Correct 170 ms 84588 KB Output is correct
8 Correct 51 ms 78828 KB Output is correct
9 Correct 55 ms 79340 KB Output is correct
10 Correct 154 ms 84716 KB Output is correct
11 Correct 142 ms 84888 KB Output is correct
12 Correct 144 ms 84972 KB Output is correct
13 Correct 153 ms 84716 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 78700 KB Output is correct
2 Correct 43 ms 78700 KB Output is correct
3 Correct 46 ms 78700 KB Output is correct
4 Correct 44 ms 78700 KB Output is correct
5 Correct 45 ms 78828 KB Output is correct
6 Correct 55 ms 79468 KB Output is correct
7 Correct 170 ms 84588 KB Output is correct
8 Correct 51 ms 78828 KB Output is correct
9 Correct 55 ms 79340 KB Output is correct
10 Correct 154 ms 84716 KB Output is correct
11 Correct 142 ms 84888 KB Output is correct
12 Correct 144 ms 84972 KB Output is correct
13 Correct 153 ms 84716 KB Output is correct
14 Correct 357 ms 93640 KB Output is correct
15 Execution timed out 4046 ms 202956 KB Time limit exceeded
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 43 ms 78700 KB Output is correct
2 Correct 43 ms 78700 KB Output is correct
3 Correct 175 ms 82796 KB Output is correct
4 Correct 2192 ms 206556 KB Output is correct
5 Correct 2816 ms 206684 KB Output is correct
6 Correct 3934 ms 205924 KB Output is correct
7 Execution timed out 4086 ms 205548 KB Time limit exceeded
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 44 ms 78700 KB Output is correct
2 Correct 46 ms 78700 KB Output is correct
3 Correct 44 ms 78700 KB Output is correct
4 Correct 45 ms 78700 KB Output is correct
5 Correct 42 ms 78700 KB Output is correct
6 Correct 48 ms 78828 KB Output is correct
7 Correct 75 ms 79468 KB Output is correct
8 Correct 62 ms 79468 KB Output is correct
9 Correct 69 ms 79508 KB Output is correct
10 Correct 79 ms 79468 KB Output is correct
11 Correct 70 ms 79468 KB Output is correct
12 Correct 69 ms 79596 KB Output is correct
13 Correct 57 ms 79468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 42 ms 78700 KB Output is correct
2 Correct 44 ms 78700 KB Output is correct
3 Correct 47 ms 78700 KB Output is correct
4 Correct 45 ms 78700 KB Output is correct
5 Correct 52 ms 79340 KB Output is correct
6 Correct 3523 ms 204088 KB Output is correct
7 Correct 3611 ms 204284 KB Output is correct
8 Execution timed out 4013 ms 204028 KB Time limit exceeded
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 43 ms 78700 KB Output is correct
2 Correct 43 ms 78700 KB Output is correct
3 Correct 43 ms 78700 KB Output is correct
4 Correct 44 ms 78700 KB Output is correct
5 Correct 43 ms 78700 KB Output is correct
6 Correct 126 ms 81516 KB Output is correct
7 Correct 350 ms 93256 KB Output is correct
8 Correct 2303 ms 199388 KB Output is correct
9 Correct 2454 ms 199260 KB Output is correct
10 Correct 2216 ms 199652 KB Output is correct
11 Correct 2037 ms 201564 KB Output is correct
12 Correct 1930 ms 205868 KB Output is correct
13 Correct 1588 ms 212060 KB Output is correct
14 Correct 1561 ms 211764 KB Output is correct
15 Correct 45 ms 78700 KB Output is correct
16 Correct 43 ms 78700 KB Output is correct
17 Correct 46 ms 78700 KB Output is correct
18 Correct 44 ms 78700 KB Output is correct
19 Correct 45 ms 78828 KB Output is correct
20 Correct 55 ms 79468 KB Output is correct
21 Correct 170 ms 84588 KB Output is correct
22 Correct 51 ms 78828 KB Output is correct
23 Correct 55 ms 79340 KB Output is correct
24 Correct 154 ms 84716 KB Output is correct
25 Correct 142 ms 84888 KB Output is correct
26 Correct 144 ms 84972 KB Output is correct
27 Correct 153 ms 84716 KB Output is correct
28 Correct 357 ms 93640 KB Output is correct
29 Execution timed out 4046 ms 202956 KB Time limit exceeded
30 Halted 0 ms 0 KB -