oj.uz

Submission #123844

# Submission time Handle Problem Language Result Execution time Memory
123844 2019-07-02T07:49:52 Z 윤교준(#3030) Naan (JOI19_naan) C++14
29 / 100
 3052 ms 8192 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();
	}
	ll sum = 0;
	for(int i = 0; i < 100000000; i++)
		sum += ll(i) + i + 4 + rand();
	if(!sum) puts("A");
	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 1022 ms 592 KB Output is correct
2 Correct 1018 ms 632 KB Output is correct
3 Correct 1026 ms 632 KB Output is correct
4 Correct 1025 ms 636 KB Output is correct
5 Correct 1025 ms 632 KB Output is correct
6 Correct 1020 ms 600 KB Output is correct
7 Correct 1018 ms 644 KB Output is correct
8 Correct 1020 ms 632 KB Output is correct
9 Correct 1022 ms 608 KB Output is correct
10 Correct 1022 ms 692 KB Output is correct
11 Correct 1020 ms 632 KB Output is correct
12 Correct 1018 ms 636 KB Output is correct
13 Correct 1018 ms 644 KB Output is correct
14 Correct 1020 ms 632 KB Output is correct
15 Correct 1020 ms 636 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1020 ms 676 KB Output is correct
2 Correct 1022 ms 660 KB Output is correct
3 Correct 1016 ms 704 KB Output is correct
4 Correct 1020 ms 760 KB Output is correct
5 Correct 1022 ms 712 KB Output is correct
6 Correct 1016 ms 664 KB Output is correct
7 Correct 1018 ms 636 KB Output is correct
8 Correct 1020 ms 672 KB Output is correct
9 Correct 1020 ms 728 KB Output is correct
10 Correct 1022 ms 724 KB Output is correct
11 Correct 1062 ms 700 KB Output is correct
12 Correct 1022 ms 632 KB Output is correct
13 Correct 1020 ms 684 KB Output is correct
14 Correct 1025 ms 728 KB Output is correct
15 Correct 1020 ms 728 KB Output is correct
16 Correct 1026 ms 724 KB Output is correct
17 Correct 1022 ms 732 KB Output is correct
18 Correct 1020 ms 732 KB Output is correct
19 Correct 1018 ms 728 KB Output is correct
20 Correct 1022 ms 708 KB Output is correct
21 Correct 1020 ms 732 KB Output is correct
22 Correct 1018 ms 760 KB Output is correct
23 Correct 1022 ms 596 KB Output is correct
24 Correct 1022 ms 740 KB Output is correct
25 Correct 1025 ms 684 KB Output is correct
26 Correct 1018 ms 632 KB Output is correct
27 Correct 1022 ms 712 KB Output is correct

Subtask #3
0 / 71.0

# Verdict Execution time Memory Grader output
1 Correct 1022 ms 592 KB Output is correct
2 Correct 1018 ms 632 KB Output is correct
3 Correct 1026 ms 632 KB Output is correct
4 Correct 1025 ms 636 KB Output is correct
5 Correct 1025 ms 632 KB Output is correct
6 Correct 1020 ms 600 KB Output is correct
7 Correct 1018 ms 644 KB Output is correct
8 Correct 1020 ms 632 KB Output is correct
9 Correct 1022 ms 608 KB Output is correct
10 Correct 1022 ms 692 KB Output is correct
11 Correct 1020 ms 632 KB Output is correct
12 Correct 1018 ms 636 KB Output is correct
13 Correct 1018 ms 644 KB Output is correct
14 Correct 1020 ms 632 KB Output is correct
15 Correct 1020 ms 636 KB Output is correct
16 Correct 1020 ms 676 KB Output is correct
17 Correct 1022 ms 660 KB Output is correct
18 Correct 1016 ms 704 KB Output is correct
19 Correct 1020 ms 760 KB Output is correct
20 Correct 1022 ms 712 KB Output is correct
21 Correct 1016 ms 664 KB Output is correct
22 Correct 1018 ms 636 KB Output is correct
23 Correct 1020 ms 672 KB Output is correct
24 Correct 1020 ms 728 KB Output is correct
25 Correct 1022 ms 724 KB Output is correct
26 Correct 1062 ms 700 KB Output is correct
27 Correct 1022 ms 632 KB Output is correct
28 Correct 1020 ms 684 KB Output is correct
29 Correct 1025 ms 728 KB Output is correct
30 Correct 1020 ms 728 KB Output is correct
31 Correct 1026 ms 724 KB Output is correct
32 Correct 1022 ms 732 KB Output is correct
33 Correct 1020 ms 732 KB Output is correct
34 Correct 1018 ms 728 KB Output is correct
35 Correct 1022 ms 708 KB Output is correct
36 Correct 1020 ms 732 KB Output is correct
37 Correct 1018 ms 760 KB Output is correct
38 Correct 1022 ms 596 KB Output is correct
39 Correct 1022 ms 740 KB Output is correct
40 Correct 1025 ms 684 KB Output is correct
41 Correct 1018 ms 632 KB Output is correct
42 Correct 1022 ms 712 KB Output is correct
43 Runtime error 3052 ms 8192 KB Execution failed because the return code was nonzero
44 Halted 0 ms 0 KB -