Submission #123857

# Submission time Handle Problem Language Result Execution time Memory
123857 2019-07-02T08:04:10 Z 윤교준(#3030) Naan (JOI19_naan) C++14
29 / 100
4000 ms 30136 KB
#include <bits/stdc++.h>
#define eb emplace_back
using namespace std;
typedef long long ll;
typedef __int128_t lll;
lll gcd(lll a, lll b) { for(;b;a%=b,swap(a,b)){} return a; }

const int MAXX = 1000000;

struct FRC {
	FRC(lll a, lll b) : a(a), b(b) { norm(); }
	FRC(lll a) : a(a), b(1) {}
	FRC() : a(0), b(1) {}
	ll a, b; // a / b

	void prt() const { printf("%lld %lld\n", ll(a), ll(b)); }
	void norm() {
		if(!a) {
			b = 1;
			return;
		}
		if(b < 0) {
			a = -a;
			b = -b;
		}
		ll g = gcd(abs(a), b);
		if(g) {
			a /= g;
			b /= g;
		}
	}

	lll floor() const { return a/b; }

	FRC& snk() {
		for(; MAXX < b;) {
			b >>= 1;
			a = (a+1) >> 1;
			norm();
		}
		return *this;
	}
	FRC& rsnk() {
		for(; MAXX < b;) {
			b = (b+1) >> 1;
			a >>= 1;
			norm();
		}
		return *this;
	}

	FRC operator + (const FRC &A) const {
		return FRC(a*A.b + b*A.a, b*A.b);
	}
	FRC operator - (const FRC &A) const {
		return FRC(a*A.b - b*A.a, b*A.b);
	}
	FRC operator * (const FRC &A) const {
		return FRC(a*A.a, b*A.b);
	}
	FRC operator / (const FRC &A) const {
		return FRC(a*A.b, b*A.a);
	}

	bool operator == (const FRC &A) const {
		return a == A.a && b == A.b;
	}
	bool operator < (const FRC &A) const {
		if(floor() != A.floor()) return floor() < A.floor();
		return (a-floor()*b)*A.b < b*(A.a-A.floor()*A.b);
	}
	bool operator <= (const FRC &A) const {
		return operator == (A) || operator < (A);
	}
	bool operator > (const FRC &A) const {
		return ! operator <= (A);
	}
	bool operator >= (const FRC &A) const {
		return ! operator < (A);
	}
};


const int MAXN = 2005;
const int MAXK = 2005;

ll AS[MAXN][MAXK];
int A[MAXN][MAXK];

FRC pos[MAXN], nd[MAXN];
int O[MAXN];
bitset<MAXN> chk;

int N, K;

FRC nxtF(int i, FRC pv, FRC nd) {
	pv.snk(); nd.snk();
	if(nd <= 0) return pv;
	if(pv >= K) return K+1;
	int j = pv.floor();
	{
		FRC l = FRC(j+1) - pv;
		l.rsnk();
		if(nd <= (l * A[i][j+1]).rsnk())
			return (pv + (nd / A[i][j+1]).snk()).snk();
		nd = (nd - (l * A[i][j+1]).rsnk()).snk();
		pv = j+1;
	}
	j++;
	if(nd > AS[i][K]-AS[i][j]) return K+1;
	int s = j, e = K-1; for(int m; s < e;) {
		m = (s+e+1) >> 1;
		if(nd <= AS[i][m]-AS[i][j]) e = m-1;
		else s = m;
	}
	nd = (nd - (AS[i][s]-AS[i][j])).snk();
	pv = s;
	FRC l = (nd / A[i][s+1]).snk();
	return (pv + l).snk();
}

int main() {
	ios::sync_with_stdio(false);

	cin >> N >> K;
	for(int i = 1; i <= N; i++) {
		for(int j = 1; j <= K; j++) {
			cin >> A[i][j];
			AS[i][j] = AS[i][j-1] + A[i][j];
		}
	}

	for(int i = 1; i <= N; i++) nd[i] = FRC(AS[i][K], N);

	for(int cnt = 1; cnt <= N; cnt++) {
		FRC mnx(K+1);
		int mni = -1;
		for(int i = 1; i <= N; i++) if(!chk[i]) {
			FRC t = nxtF(i, pos[cnt-1], nd[i]).snk();
			if(t.b > MAXX/100) {
				t.a += 5;
				t.snk();
				t.norm();
			}
			t.snk();
			if(t < mnx) {
				mnx = t;
				mni = i;
			}
		}
		if(mni < 0) exit(-1);
		pos[cnt] = mnx;
		O[cnt] = mni;
		chk[mni] = true;
	}

	for(int i = 1; i < N; i++) pos[i].prt();
	for(int i = 1; i <= N; i++) printf("%d ", O[i]);
	puts("");
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 552 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 504 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 2 ms 508 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 2 ms 504 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 3 ms 504 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 3 ms 504 KB Output is correct
4 Correct 3 ms 508 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 504 KB Output is correct
8 Correct 2 ms 508 KB Output is correct
9 Correct 3 ms 632 KB Output is correct
10 Correct 3 ms 632 KB Output is correct
11 Correct 3 ms 504 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 504 KB Output is correct
14 Correct 3 ms 632 KB Output is correct
15 Correct 3 ms 632 KB Output is correct
16 Correct 3 ms 504 KB Output is correct
17 Correct 3 ms 632 KB Output is correct
18 Correct 3 ms 504 KB Output is correct
19 Correct 3 ms 632 KB Output is correct
20 Correct 3 ms 504 KB Output is correct
21 Correct 3 ms 504 KB Output is correct
22 Correct 3 ms 504 KB Output is correct
23 Correct 2 ms 504 KB Output is correct
24 Correct 3 ms 504 KB Output is correct
25 Correct 3 ms 504 KB Output is correct
26 Correct 2 ms 504 KB Output is correct
27 Correct 3 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 552 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 504 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 2 ms 508 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 2 ms 504 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 3 ms 504 KB Output is correct
14 Correct 2 ms 504 KB Output is correct
15 Correct 2 ms 504 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 504 KB Output is correct
18 Correct 3 ms 504 KB Output is correct
19 Correct 3 ms 508 KB Output is correct
20 Correct 2 ms 504 KB Output is correct
21 Correct 2 ms 504 KB Output is correct
22 Correct 2 ms 504 KB Output is correct
23 Correct 2 ms 508 KB Output is correct
24 Correct 3 ms 632 KB Output is correct
25 Correct 3 ms 632 KB Output is correct
26 Correct 3 ms 504 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 504 KB Output is correct
29 Correct 3 ms 632 KB Output is correct
30 Correct 3 ms 632 KB Output is correct
31 Correct 3 ms 504 KB Output is correct
32 Correct 3 ms 632 KB Output is correct
33 Correct 3 ms 504 KB Output is correct
34 Correct 3 ms 632 KB Output is correct
35 Correct 3 ms 504 KB Output is correct
36 Correct 3 ms 504 KB Output is correct
37 Correct 3 ms 504 KB Output is correct
38 Correct 2 ms 504 KB Output is correct
39 Correct 3 ms 504 KB Output is correct
40 Correct 3 ms 504 KB Output is correct
41 Correct 2 ms 504 KB Output is correct
42 Correct 3 ms 504 KB Output is correct
43 Correct 962 ms 8156 KB Output is correct
44 Execution timed out 4051 ms 30136 KB Time limit exceeded
45 Halted 0 ms 0 KB -