Submission #354992

# Submission time Handle Problem Language Result Execution time Memory
354992 2021-01-22T07:59:52 Z ryansee Comparing Plants (IOI20_plants) C++14
27 / 100
3653 ms 145232 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=long long; 
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];
inline ll cy(ll x) {
	x %= n, x += n, x %= n; return x;
}
ll 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(LLINF, 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(LLINF, 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;
	array<pi, 2> v;
	node2*l,*r;
	node2(int S,int E){
		s=S,e=E,m=(s+e)>>1;
		v = {pi(INF, -1), pi(-INF, -1)};
		if(s^e)l=new node2(s,m),r=new node2(m+1,e);
	}
	array<pi, 2> comb(array<pi, 2> x,array<pi, 2> y) {
		return array<pi, 2> {min(x[0], y[0]), max(x[1], y[1])};
	}
	array<pi, 2> 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 comb(l->rmq(x, m), r->rmq(m+1, y));
	}
	ll mx(int x,int y) {
		x = cy(x), y = cy(y);
		if(x <= y) return rmq(x, y)[1].s;
		else return max(rmq(x, n-1)[1], rmq(0, y)[1]).s;
	}
	ll mi(int x,int y) {
		x = cy(x), y = cy(y);
		if(x <= y) return rmq(x, y)[0].s;
		else return min(rmq(x, n-1)[0], rmq(0, y)[0]).s;
	}
	void set(int x) {
		if(s==e) {
			v = {pi(A[s], s), pi(A[s], s)};
			return;
		}
		if(x>m) r->set(x);
		else l->set(x);
		v = comb(l->v, r->v);
	}
} *seg2;
struct tree {
	int st[MAXN], en[MAXN];
	bitset<MAXN> r;
	vector<int> v[MAXN];
	tree() {
		mmst(st, 0), mmst(en, 0), r.set();
		for(auto&i:v) assert(i.empty());
	}
	void add(int x,int y) {
		if(y==-1||x==y) return;
		r[x]=0, v[y].eb(x);
	}
	void solve() {
		ll co=1;
		function<void(ll)>dfs=[&](int x) {
			st[x]=co++;
			for(auto i:v[x]) dfs(i);
			en[x]=co-1;
		};
		FOR(i,0,n-1) if(r[i]) dfs(i);
	}
	bool isp(int a,int b) { return st[a]<=st[b]&&en[a]>=en[b]; }
} 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));
	}
	/* dp[0][0]=dp[1][0]=1;
	FOR(i,0,1) fw[i].update(A[0], 1);
	FOR(i,1,n-1) {
		// FOR(jj,i-k+1,i-1) { int j=cy(jj);
			// assert(A[i] ^ A[j]);
			// if(A[i] < A[j]) dp[0][i] |= dp[0][j];
			// else dp[1][i] |= dp[1][j];
		// }
		if(i >= k) FOR(j,0,1) if(dp[j][i-k]) fw[j].update(A[i-k], -1);
		dp[0][i] = fw[0].sum(A[i]+1, MAXN-2) > 0;
		dp[1][i] = fw[1].sum(0, A[i]-1) > 0;
		FOR(j,0,1) if(dp[j][i]) fw[j].update(A[i], 1);
	}
	fw[0]=fen(), fw[1]=fen();
	dp2[0][0]=dp2[1][0]=1;
	FOR(i,0,1) fw[i].update(A[0], 1);
	DEC(ii,-1,-n+1) { int i=cy(ii);
		// FOR(jj,i+1,i+k-1) { int j=cy(jj);
			// assert(A[i] ^ A[j]);
			// if(A[i] < A[j]) dp2[0][i] |= dp2[0][j];
			// else dp2[1][i] |= dp2[1][j];
		// }
		int t = cy(i + k);
		if(t > i || t == 0) {
			FOR(j,0,1) if(dp2[j][t]) fw[j].update(A[t], -1);
		}
		dp2[0][i] = fw[0].sum(A[i]+1, MAXN-2) > 0;
		dp2[1][i] = fw[1].sum(0, A[i]-1) > 0;
		FOR(j,0,1) if(dp2[j][i]) fw[j].update(A[i], 1);
	} */
	
	vector<int> p;
	FOR(i,0,n-1) p.eb(i);
	sort(all(p), [](int x,int y){return A[x]<A[y];});
	seg2=new node2(0, n-1);
	for(auto i:p) {
		int target = seg2->mx(i, i+k-1); // 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];});
	seg2=new node2(0, n-1);
	for(auto i:p) {
		int target = seg2->mi(i, i+k-1);
		t[1].add(i, target);
		seg2->set(i);
	}
	// FOR(i,0,n-1) {
		// int target = seg2->mi(i, i-k+1);
		// t[2].add(i, target);
	// }
	// FOR(i,0,n-1) {
		// int target = seg2->mx(i, i-k+1);
		// t[3].add(i, target);
	// }
	FOR(i,0,1) t[i].solve();
}
int compare_plants(int x, int y) {
	/* if(x == 0) {
		if(dp[0][y] || dp2[0][y]) return -1;
		else if(dp[1][y] || dp2[1][y]) return 1;
		else return 0;
	}
	if(n > 300 || reach[x][y] || reach[y][x]) return A[x] < A[y] ? 1 : -1;
	else return 0; */
	
	if(dist(x, y) < k) {
		return A[x] < A[y] ? 1 : -1;
	}
	
	if(t[0].isp(y, x)) { assert(A[y] < A[x]); return -1; }
	if(t[1].isp(y, x)) { assert(A[x] < A[y]); return 1; }
	if(t[0].isp(x, y)) { assert(A[x] < A[y]); return 1; }
	if(t[1].isp(x, y)) { assert(A[y] < A[x]); return -1; }
	assert(0);
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 10 ms 12908 KB Output is correct
2 Correct 9 ms 12908 KB Output is correct
3 Correct 9 ms 12908 KB Output is correct
4 Runtime error 26 ms 25924 KB Execution killed with signal 6
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 9 ms 12908 KB Output is correct
2 Correct 9 ms 12908 KB Output is correct
3 Correct 9 ms 12908 KB Output is correct
4 Correct 10 ms 12908 KB Output is correct
5 Correct 10 ms 12908 KB Output is correct
6 Correct 18 ms 13548 KB Output is correct
7 Correct 114 ms 18880 KB Output is correct
8 Correct 12 ms 13036 KB Output is correct
9 Correct 18 ms 13548 KB Output is correct
10 Correct 121 ms 18924 KB Output is correct
11 Correct 114 ms 18784 KB Output is correct
12 Correct 104 ms 19052 KB Output is correct
13 Correct 114 ms 19052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 12908 KB Output is correct
2 Correct 9 ms 12908 KB Output is correct
3 Correct 9 ms 12908 KB Output is correct
4 Correct 10 ms 12908 KB Output is correct
5 Correct 10 ms 12908 KB Output is correct
6 Correct 18 ms 13548 KB Output is correct
7 Correct 114 ms 18880 KB Output is correct
8 Correct 12 ms 13036 KB Output is correct
9 Correct 18 ms 13548 KB Output is correct
10 Correct 121 ms 18924 KB Output is correct
11 Correct 114 ms 18784 KB Output is correct
12 Correct 104 ms 19052 KB Output is correct
13 Correct 114 ms 19052 KB Output is correct
14 Correct 299 ms 27884 KB Output is correct
15 Correct 3653 ms 137168 KB Output is correct
16 Correct 296 ms 27884 KB Output is correct
17 Correct 3646 ms 137440 KB Output is correct
18 Correct 1779 ms 142052 KB Output is correct
19 Correct 1900 ms 142288 KB Output is correct
20 Correct 3001 ms 145232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 13056 KB Output is correct
2 Correct 9 ms 12908 KB Output is correct
3 Runtime error 78 ms 33004 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 12908 KB Output is correct
2 Correct 12 ms 12908 KB Output is correct
3 Runtime error 26 ms 25964 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 9 ms 12908 KB Output is correct
2 Correct 10 ms 12908 KB Output is correct
3 Runtime error 26 ms 25964 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 12908 KB Output is correct
2 Correct 9 ms 12908 KB Output is correct
3 Correct 9 ms 12908 KB Output is correct
4 Runtime error 26 ms 25924 KB Execution killed with signal 6
5 Halted 0 ms 0 KB -