oj.uz

Submission #123839

# Submission time Handle Problem Language Result Execution time Memory
123839 2019-07-02T07:48:08 Z 윤교준(#3030) Naan (JOI19_naan) C++14
29 / 100
 2043 ms 8184 KB 
#include <bits/stdc++.h>
#define eb emplace_back
using namespace std;
typedef long double ld;
typedef long long ll;
typedef __int128_t lll;
inline void fuk() { puts("ERR!"); exit(-1); }
lll gcd(lll a, lll b) { for(;b;a%=b,swap(a,b)){} return a; }

const int MAXX = 1000000000;
const ll KEY = 6469693230ll;

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

	void prt() const { printf("%lld %lld\n", ll(b*c+a), ll(b)); }
	void norm() {
		if(b < 0) {
			a = -a;
			b = -b;
			c = -c;
		}
		lll g = gcd(a < 0 ? -a : a, b);
		if(g) {
			a /= g;
			b /= g;
		}
		if(a < 0) {
			lll t = (-a)/b + 1;
			c -= t;
			a += t*b;
		}
		c += a/b;
		a %= b;
	}
	FRC& snk() {
		/*
		if(MAXX < b) {
			ld t = ld(a)/b;
			b = MAXX;
			a = t*MAXX;
			a++;
			norm();
		}
		*/
		for(; MAXX < b;) {
			a = (a+1) >> 1;
			b >>= 1;
			norm();
		}
		return *this;
	}
	FRC& rsnk() {
		for(; MAXX < b;) {
			a >>= 1;
			b = (b+1) >> 1;
			norm();
		}
		return *this;
	}

	lll floor() const { return c; }

	FRC addrsnk(const FRC &A) const {
		return FRC(a*A.b + b*A.a, b*A.b, c+A.c).rsnk();
	}
	FRC mulrsnk(const FRC &A) const {
		return ((FRC(c*A.c).addrsnk(FRC(c*A.a, A.b).rsnk())).rsnk().addrsnk(
		(FRC(a*A.c, b).rsnk().addrsnk(FRC(a*A.a, b*A.b).rsnk())).rsnk())).rsnk();
	}

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

	bool operator == (const FRC &A) const {
		return a == A.a && b == A.b && c == A.c;
	}
	bool operator < (const FRC &A) const {
		if(c != A.c) return c < A.c;
		return a*A.b < b*A.a;
	}
	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 getF(int i, FRC sp, FRC ep) {
	sp.snk(); ep.rsnk();
	FRC ret;
	if(sp.floor() == ep.floor()) {
		ret = (ep-sp).rsnk().mulrsnk(A[i][sp.floor()+1]);
		ret.rsnk();
		return ret;
	}
	int s = sp.floor()+1, e = ep.floor();
	ret = ((FRC(s)-sp).rsnk().mulrsnk(A[i][s])).rsnk();
	for(int j = s+1; j <= e; j++)
		ret = (ret.addrsnk(A[i][j])).rsnk();
	FRC t = ((ep-e).rsnk().mulrsnk(A[i][e+1])).rsnk();
	return (ret.addrsnk(t)).rsnk();
}

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

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

	chk.reset();
	for(int i = 1; i <= N; i++) {
		if(O[i] < 1 || N < O[i] || chk[O[i]]) fuk();
		chk[O[i]] = true;
	}

	pos[N] = K;
	for(int i = 1; i <= N; i++) {
		if(pos[i].a < 0 || pos[i].b <= 0 || MAXX < pos[i].b) fuk();
		if(pos[i-1] >= pos[i]) fuk();
	}
	for(int oi = 1, i; oi <= N; oi++) {
		i = O[oi];
		FRC sum = getF(i, pos[oi-1], pos[oi]);
		if(sum < nd[i]) fuk();
	}

	for(int i = 1; i < N; i++) pos[i].prt();
	for(int i = 1; i <= N; i++) printf("%d ", O[i]);
	puts("");
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 632 KB Output is correct
2 Correct 2 ms 632 KB Output is correct
3 Correct 3 ms 632 KB Output is correct
4 Correct 3 ms 632 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 632 KB Output is correct
7 Correct 2 ms 636 KB Output is correct
8 Correct 2 ms 632 KB Output is correct
9 Correct 2 ms 632 KB Output is correct
10 Correct 3 ms 632 KB Output is correct
11 Correct 3 ms 632 KB Output is correct
12 Correct 3 ms 632 KB Output is correct
13 Correct 3 ms 632 KB Output is correct
14 Correct 3 ms 632 KB Output is correct
15 Correct 3 ms 632 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 636 KB Output is correct
2 Correct 3 ms 632 KB Output is correct
3 Correct 3 ms 632 KB Output is correct
4 Correct 3 ms 632 KB Output is correct
5 Correct 3 ms 632 KB Output is correct
6 Correct 3 ms 632 KB Output is correct
7 Correct 2 ms 504 KB Output is correct
8 Correct 2 ms 632 KB Output is correct
9 Correct 3 ms 764 KB Output is correct
10 Correct 3 ms 760 KB Output is correct
11 Correct 3 ms 632 KB Output is correct
12 Correct 2 ms 632 KB Output is correct
13 Correct 3 ms 632 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 760 KB Output is correct
17 Correct 3 ms 760 KB Output is correct
18 Correct 3 ms 760 KB Output is correct
19 Correct 3 ms 760 KB Output is correct
20 Correct 3 ms 632 KB Output is correct
21 Correct 3 ms 632 KB Output is correct
22 Correct 3 ms 632 KB Output is correct
23 Correct 2 ms 632 KB Output is correct
24 Correct 3 ms 632 KB Output is correct
25 Correct 3 ms 632 KB Output is correct
26 Correct 2 ms 632 KB Output is correct
27 Correct 3 ms 632 KB Output is correct

Subtask #3
0 / 71.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 632 KB Output is correct
2 Correct 2 ms 632 KB Output is correct
3 Correct 3 ms 632 KB Output is correct
4 Correct 3 ms 632 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 632 KB Output is correct
7 Correct 2 ms 636 KB Output is correct
8 Correct 2 ms 632 KB Output is correct
9 Correct 2 ms 632 KB Output is correct
10 Correct 3 ms 632 KB Output is correct
11 Correct 3 ms 632 KB Output is correct
12 Correct 3 ms 632 KB Output is correct
13 Correct 3 ms 632 KB Output is correct
14 Correct 3 ms 632 KB Output is correct
15 Correct 3 ms 632 KB Output is correct
16 Correct 2 ms 636 KB Output is correct
17 Correct 3 ms 632 KB Output is correct
18 Correct 3 ms 632 KB Output is correct
19 Correct 3 ms 632 KB Output is correct
20 Correct 3 ms 632 KB Output is correct
21 Correct 3 ms 632 KB Output is correct
22 Correct 2 ms 504 KB Output is correct
23 Correct 2 ms 632 KB Output is correct
24 Correct 3 ms 764 KB Output is correct
25 Correct 3 ms 760 KB Output is correct
26 Correct 3 ms 632 KB Output is correct
27 Correct 2 ms 632 KB Output is correct
28 Correct 3 ms 632 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 760 KB Output is correct
32 Correct 3 ms 760 KB Output is correct
33 Correct 3 ms 760 KB Output is correct
34 Correct 3 ms 760 KB Output is correct
35 Correct 3 ms 632 KB Output is correct
36 Correct 3 ms 632 KB Output is correct
37 Correct 3 ms 632 KB Output is correct
38 Correct 2 ms 632 KB Output is correct
39 Correct 3 ms 632 KB Output is correct
40 Correct 3 ms 632 KB Output is correct
41 Correct 2 ms 632 KB Output is correct
42 Correct 3 ms 632 KB Output is correct
43 Runtime error 2043 ms 8184 KB Execution failed because the return code was nonzero
44 Halted 0 ms 0 KB -