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Submission #322502

# Submission time Handle Problem Language Result Execution time Memory
322502 2020-11-14T18:48:01 Z ryansee Intergalactic ship (IZhO19_xorsum) C++14
92 / 100
 2000 ms 195820 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=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<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];
ll 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=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 += ceff * ways1[0] % mod * ways2[0] % mod * (c ? Cp(c) : 0) % mod * (1<<b1) % mod * (1<<b2) % mod * p2[notin];
		ans += ceff * ways1[1] % mod * ways2[1] % mod * (c ? Cp(c) : 1) % mod * (1<<b1) % mod * (1<<b2) % mod * p2[notin], ans %= mod;
	}
	cout<<ans<<'\n';
}

Subtask #1
4.0 / 4.0

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

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1132 KB Output is correct
2 Correct 1 ms 1132 KB Output is correct
3 Correct 2 ms 1388 KB Output is correct
4 Correct 2 ms 1388 KB Output is correct
5 Correct 2 ms 1388 KB Output is correct
6 Correct 14 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 12 ms 3584 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 5996 KB Output is correct
2 Correct 18 ms 3820 KB Output is correct
3 Correct 14 ms 3668 KB Output is correct
4 Correct 12 ms 3564 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1286 ms 193772 KB Output is correct
2 Correct 1264 ms 193564 KB Output is correct
3 Correct 1247 ms 193560 KB Output is correct
4 Correct 1317 ms 193644 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1516 KB Output is correct
2 Correct 3 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 3 ms 1516 KB Output is correct
2 Correct 3 ms 1516 KB Output is correct
3 Correct 4 ms 1516 KB Output is correct
4 Correct 5 ms 1644 KB Output is correct
5 Correct 5 ms 1772 KB Output is correct
6 Correct 5 ms 1648 KB Output is correct
7 Correct 5 ms 1644 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1132 KB Output is correct
2 Correct 1 ms 1132 KB Output is correct
3 Correct 2 ms 1388 KB Output is correct
4 Correct 2 ms 1388 KB Output is correct
5 Correct 2 ms 1388 KB Output is correct
6 Correct 14 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 12 ms 3584 KB Output is correct
9 Correct 3 ms 1516 KB Output is correct
10 Correct 3 ms 1516 KB Output is correct
11 Correct 4 ms 1516 KB Output is correct
12 Correct 22 ms 3692 KB Output is correct
13 Correct 23 ms 3756 KB Output is correct
14 Correct 18 ms 3692 KB Output is correct
15 Correct 19 ms 3692 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1132 KB Output is correct
2 Correct 1 ms 1132 KB Output is correct
3 Correct 2 ms 1388 KB Output is correct
4 Correct 2 ms 1388 KB Output is correct
5 Correct 2 ms 1388 KB Output is correct
6 Correct 14 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 12 ms 3584 KB Output is correct
9 Correct 3 ms 1516 KB Output is correct
10 Correct 3 ms 1516 KB Output is correct
11 Correct 4 ms 1516 KB Output is correct
12 Correct 5 ms 1644 KB Output is correct
13 Correct 5 ms 1772 KB Output is correct
14 Correct 5 ms 1648 KB Output is correct
15 Correct 5 ms 1644 KB Output is correct
16 Correct 22 ms 3692 KB Output is correct
17 Correct 23 ms 3756 KB Output is correct
18 Correct 18 ms 3692 KB Output is correct
19 Correct 19 ms 3692 KB Output is correct
20 Correct 701 ms 53764 KB Output is correct
21 Correct 485 ms 53752 KB Output is correct
22 Correct 644 ms 53868 KB Output is correct

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1132 KB Output is correct
2 Correct 1 ms 1132 KB Output is correct
3 Correct 2 ms 1388 KB Output is correct
4 Correct 2 ms 1388 KB Output is correct
5 Correct 2 ms 1388 KB Output is correct
6 Correct 14 ms 3692 KB Output is correct
7 Correct 13 ms 3692 KB Output is correct
8 Correct 12 ms 3584 KB Output is correct
9 Correct 43 ms 5996 KB Output is correct
10 Correct 18 ms 3820 KB Output is correct
11 Correct 14 ms 3668 KB Output is correct
12 Correct 12 ms 3564 KB Output is correct
13 Correct 1286 ms 193772 KB Output is correct
14 Correct 1264 ms 193564 KB Output is correct
15 Correct 1247 ms 193560 KB Output is correct
16 Correct 1317 ms 193644 KB Output is correct
17 Correct 3 ms 1516 KB Output is correct
18 Correct 3 ms 1516 KB Output is correct
19 Correct 4 ms 1516 KB Output is correct
20 Correct 5 ms 1644 KB Output is correct
21 Correct 5 ms 1772 KB Output is correct
22 Correct 5 ms 1648 KB Output is correct
23 Correct 5 ms 1644 KB Output is correct
24 Correct 22 ms 3692 KB Output is correct
25 Correct 23 ms 3756 KB Output is correct
26 Correct 18 ms 3692 KB Output is correct
27 Correct 19 ms 3692 KB Output is correct
28 Correct 701 ms 53764 KB Output is correct
29 Correct 485 ms 53752 KB Output is correct
30 Correct 644 ms 53868 KB Output is correct
31 Execution timed out 2092 ms 195820 KB Time limit exceeded
32 Halted 0 ms 0 KB -