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Submission #322546

# Submission time Handle Problem Language Result Execution time Memory
322546 2020-11-14T19:02:19 Z ryansee Intergalactic ship (IZhO19_xorsum) C++14
92 / 100
 2000 ms 196076 KB 
#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<pair<int,int>,int>; using dpi=pair<pi,pi>; 

#define LLINF ((long long)1e18)
#define INF int(1e9+1e6)
#define MAXN (202002)
int n, A[1006], B[1002][1002][7][7], fw[7][7][1002], q, psum[7][1002];
int mod=1e9+7, ans, p2[MAXN];
vector<spi> v, o;
void update(int b1,int b2,int x) {
	for(;x<=1000;x+=x&(-x)) ++ fw[b1][b2][x];
}
int sum(int b1,int b2,int x) {
	ll res=0;
	for(;x;x-=x&(-x))res+=fw[b1][b2][x];
	return res;
}
int sum(int bit1,int bit2,int a,int b) {
	return sum(bit1,bit2,b) - sum(bit1,bit2,a-1);
}
#define gc getchar_unlocked
int in() {
	int x=0;
	char ch=gc();
	while(ch<'0'||ch>'9')ch=gc();
	while(ch>='0'&&ch<='9'){
		x=(x<<3)+(x<<1)+(ch&15);
		ch=gc();
	}
	return x;
}
int main() {
	// FAST
	n=in();
	FOR(i,1,n) A[i]=in();
	q=in();
	v.reserve(q), v.resize(q);
	for(auto&i:v)i.f.f=in(),i.f.s=in(),i.s=in();
	sort(all(v)), reverse(all(v));
	o=v;
	FOR(i,1,n) {
		while(v.size()&&v.back().f.f==i) {
			FOR(i,0,6)if(1<<i&v.back().s)FOR(j,0,6)if(1<<j&v.back().s)update(i, j, v.back().f.s);
			v.pop_back();
		}
		FOR(j,i,n)FOR(b1,0,6)FOR(b2,0,6){
			B[i][j][b1][b2]=sum(b1,b2,j,n);
		}
	}v=o;
	FOR(i,1,n)FOR(j,i+1,n)FOR(b1,0,6)FOR(b2,0,6)B[j][i][b1][b2]=B[i][j][b1][b2];
	for(auto i:v){
		FOR(b,0,6) if(1<<b&i.s) ++ psum[b][i.f.f], -- psum[b][i.f.s+1];
	}
	FOR(b,0,6) FOR(i,1,n) psum[b][i]+=psum[b][i-1];
	p2[0]=1; FOR(i,1,MAXN-1){p2[i]=p2[i-1]*2;if(p2[i]>=mod)p2[i]-=mod;}
	auto Cp=[&](ll x){return p2[x-1];};// make sure x!=0
	FOR(i,1,n)FOR(j,i,n)FOR(b1,0,6)FOR(b2,0,6){
		// ways for b1 to be activated for i, and b2 to be activated for j
		// * 2 ah
		ll x=psum[b1][i], y=psum[b2][j], ways1[2]={0,0}, ways2[2]={0,0}, c=B[i][j][b1][b2], ceff=(long long)i*(n-j+1)%mod;
		if(i^j) { ceff*=2; if(ceff>=mod) ceff-=mod; }
		x-=c, y-=c;
		ll notin = q-x-y-c;
		if(1<<b1&A[i]) ways1[0] = x ? Cp(x) : 0, ways1[1] = x ? Cp(x) : 1;
		else ways1[0] = x ? Cp(x) : 1, ways1[1] = x ? Cp(x) : 0;
		if(1<<b2&A[j]) ways2[0] = y ? Cp(y) : 0, ways2[1] = y ? Cp(y) : 1;
		else ways2[0] = y ? Cp(y) : 1, ways2[1] = y ? Cp(y) : 0;
		ans += (long long)ceff * ways1[0] % mod * ways2[0] % mod * (c ? Cp(c+notin+b1+b2) : 0) % mod, ans %= mod;
		ans += (long long)ceff * ways1[1] % mod * ways2[1] % mod * (c ? Cp(c+notin+b1+b2) : p2[notin+b1+b2]) % mod, ans %= mod;
	}
	cout<<ans<<'\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1132 KB Output is correct
2 Correct 3 ms 1132 KB Output is correct
3 Correct 3 ms 1388 KB Output is correct
4 Correct 3 ms 1388 KB Output is correct
5 Correct 3 ms 1388 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1132 KB Output is correct
2 Correct 3 ms 1132 KB Output is correct
3 Correct 3 ms 1388 KB Output is correct
4 Correct 3 ms 1388 KB Output is correct
5 Correct 3 ms 1388 KB Output is correct
6 Correct 13 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 14 ms 3564 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 5996 KB Output is correct
2 Correct 18 ms 3820 KB Output is correct
3 Correct 14 ms 3564 KB Output is correct
4 Correct 13 ms 3564 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1246 ms 193644 KB Output is correct
2 Correct 1229 ms 193516 KB Output is correct
3 Correct 1198 ms 193508 KB Output is correct
4 Correct 1190 ms 193644 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 1516 KB Output is correct
2 Correct 4 ms 1516 KB Output is correct
3 Correct 4 ms 1516 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 1516 KB Output is correct
2 Correct 4 ms 1516 KB Output is correct
3 Correct 4 ms 1516 KB Output is correct
4 Correct 7 ms 1644 KB Output is correct
5 Correct 6 ms 1644 KB Output is correct
6 Correct 6 ms 1644 KB Output is correct
7 Correct 6 ms 1644 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1132 KB Output is correct
2 Correct 3 ms 1132 KB Output is correct
3 Correct 3 ms 1388 KB Output is correct
4 Correct 3 ms 1388 KB Output is correct
5 Correct 3 ms 1388 KB Output is correct
6 Correct 13 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 14 ms 3564 KB Output is correct
9 Correct 4 ms 1516 KB Output is correct
10 Correct 4 ms 1516 KB Output is correct
11 Correct 4 ms 1516 KB Output is correct
12 Correct 20 ms 3692 KB Output is correct
13 Correct 20 ms 3692 KB Output is correct
14 Correct 14 ms 3692 KB Output is correct
15 Correct 16 ms 3692 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1132 KB Output is correct
2 Correct 3 ms 1132 KB Output is correct
3 Correct 3 ms 1388 KB Output is correct
4 Correct 3 ms 1388 KB Output is correct
5 Correct 3 ms 1388 KB Output is correct
6 Correct 13 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 14 ms 3564 KB Output is correct
9 Correct 4 ms 1516 KB Output is correct
10 Correct 4 ms 1516 KB Output is correct
11 Correct 4 ms 1516 KB Output is correct
12 Correct 7 ms 1644 KB Output is correct
13 Correct 6 ms 1644 KB Output is correct
14 Correct 6 ms 1644 KB Output is correct
15 Correct 6 ms 1644 KB Output is correct
16 Correct 20 ms 3692 KB Output is correct
17 Correct 20 ms 3692 KB Output is correct
18 Correct 14 ms 3692 KB Output is correct
19 Correct 16 ms 3692 KB Output is correct
20 Correct 542 ms 53772 KB Output is correct
21 Correct 452 ms 53740 KB Output is correct
22 Correct 494 ms 53740 KB Output is correct

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1132 KB Output is correct
2 Correct 3 ms 1132 KB Output is correct
3 Correct 3 ms 1388 KB Output is correct
4 Correct 3 ms 1388 KB Output is correct
5 Correct 3 ms 1388 KB Output is correct
6 Correct 13 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 14 ms 3564 KB Output is correct
9 Correct 42 ms 5996 KB Output is correct
10 Correct 18 ms 3820 KB Output is correct
11 Correct 14 ms 3564 KB Output is correct
12 Correct 13 ms 3564 KB Output is correct
13 Correct 1246 ms 193644 KB Output is correct
14 Correct 1229 ms 193516 KB Output is correct
15 Correct 1198 ms 193508 KB Output is correct
16 Correct 1190 ms 193644 KB Output is correct
17 Correct 4 ms 1516 KB Output is correct
18 Correct 4 ms 1516 KB Output is correct
19 Correct 4 ms 1516 KB Output is correct
20 Correct 7 ms 1644 KB Output is correct
21 Correct 6 ms 1644 KB Output is correct
22 Correct 6 ms 1644 KB Output is correct
23 Correct 6 ms 1644 KB Output is correct
24 Correct 20 ms 3692 KB Output is correct
25 Correct 20 ms 3692 KB Output is correct
26 Correct 14 ms 3692 KB Output is correct
27 Correct 16 ms 3692 KB Output is correct
28 Correct 542 ms 53772 KB Output is correct
29 Correct 452 ms 53740 KB Output is correct
30 Correct 494 ms 53740 KB Output is correct
31 Execution timed out 2005 ms 196076 KB Time limit exceeded
32 Halted 0 ms 0 KB -