oj.uz

Submission #322542

# Submission time Handle Problem Language Result Execution time Memory
322542 2020-11-14T18:59:25 Z ryansee Intergalactic ship (IZhO19_xorsum) C++14
92 / 100
 2000 ms 196548 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 (100006)
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%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) : 0) % mod * (1<<b1) % mod * (1<<b2) % mod * p2[notin] % mod, ans %= mod;
		ans += (long long)ceff * ways1[1] % mod * ways2[1] % mod * (c ? Cp(c) : 1) % mod * (1<<b1) % mod * (1<<b2) % mod * p2[notin] % mod, ans %= mod;
	}
	cout<<ans<<'\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 2 ms 1004 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 2 ms 1004 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct
6 Correct 16 ms 3308 KB Output is correct
7 Correct 14 ms 3308 KB Output is correct
8 Correct 14 ms 3052 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 5612 KB Output is correct
2 Correct 20 ms 3564 KB Output is correct
3 Correct 20 ms 3308 KB Output is correct
4 Correct 15 ms 3180 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1507 ms 193268 KB Output is correct
2 Correct 1511 ms 193260 KB Output is correct
3 Correct 1508 ms 193224 KB Output is correct
4 Correct 1549 ms 193276 KB Output is correct

Subtask #5
8.0 / 8.0

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

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1132 KB Output is correct
2 Correct 3 ms 1132 KB Output is correct
3 Correct 3 ms 1132 KB Output is correct
4 Correct 5 ms 1260 KB Output is correct
5 Correct 5 ms 1260 KB Output is correct
6 Correct 5 ms 1260 KB Output is correct
7 Correct 5 ms 1260 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 2 ms 1004 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct
6 Correct 16 ms 3308 KB Output is correct
7 Correct 14 ms 3308 KB Output is correct
8 Correct 14 ms 3052 KB Output is correct
9 Correct 3 ms 1132 KB Output is correct
10 Correct 3 ms 1132 KB Output is correct
11 Correct 3 ms 1132 KB Output is correct
12 Correct 30 ms 3308 KB Output is correct
13 Correct 27 ms 3436 KB Output is correct
14 Correct 16 ms 3436 KB Output is correct
15 Correct 23 ms 3436 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 2 ms 1004 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct
6 Correct 16 ms 3308 KB Output is correct
7 Correct 14 ms 3308 KB Output is correct
8 Correct 14 ms 3052 KB Output is correct
9 Correct 3 ms 1132 KB Output is correct
10 Correct 3 ms 1132 KB Output is correct
11 Correct 3 ms 1132 KB Output is correct
12 Correct 5 ms 1260 KB Output is correct
13 Correct 5 ms 1260 KB Output is correct
14 Correct 5 ms 1260 KB Output is correct
15 Correct 5 ms 1260 KB Output is correct
16 Correct 30 ms 3308 KB Output is correct
17 Correct 27 ms 3436 KB Output is correct
18 Correct 16 ms 3436 KB Output is correct
19 Correct 23 ms 3436 KB Output is correct
20 Correct 801 ms 54452 KB Output is correct
21 Correct 542 ms 54572 KB Output is correct
22 Correct 758 ms 54380 KB Output is correct

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 748 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 2 ms 1004 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct
6 Correct 16 ms 3308 KB Output is correct
7 Correct 14 ms 3308 KB Output is correct
8 Correct 14 ms 3052 KB Output is correct
9 Correct 44 ms 5612 KB Output is correct
10 Correct 20 ms 3564 KB Output is correct
11 Correct 20 ms 3308 KB Output is correct
12 Correct 15 ms 3180 KB Output is correct
13 Correct 1507 ms 193268 KB Output is correct
14 Correct 1511 ms 193260 KB Output is correct
15 Correct 1508 ms 193224 KB Output is correct
16 Correct 1549 ms 193276 KB Output is correct
17 Correct 3 ms 1132 KB Output is correct
18 Correct 3 ms 1132 KB Output is correct
19 Correct 3 ms 1132 KB Output is correct
20 Correct 5 ms 1260 KB Output is correct
21 Correct 5 ms 1260 KB Output is correct
22 Correct 5 ms 1260 KB Output is correct
23 Correct 5 ms 1260 KB Output is correct
24 Correct 30 ms 3308 KB Output is correct
25 Correct 27 ms 3436 KB Output is correct
26 Correct 16 ms 3436 KB Output is correct
27 Correct 23 ms 3436 KB Output is correct
28 Correct 801 ms 54452 KB Output is correct
29 Correct 542 ms 54572 KB Output is correct
30 Correct 758 ms 54380 KB Output is correct
31 Execution timed out 2082 ms 196548 KB Time limit exceeded
32 Halted 0 ms 0 KB -