oj.uz

Submission #22671

# Submission time Handle Problem Language Result Execution time Memory
22671 2017-04-30T06:22:02 Z ↓우리보다잘하는팀(#947, ainta, gs12117, gs13068) Polynomial Quine (KRIII5_PQ) C++
2 / 7
 79 ms 3308 KB 
#include<cstdio>
#include<vector>
#include<algorithm>
using namespace std;
int _minv[210][210];
long long int mpow(int x, int y, int mod) {
	if (y == 0)return 1;
	long long int res = mpow(x, y / 2, mod);
	res *= res;
	res %= mod;
	if (y % 2 == 1) {
		res *= x;
		res %= mod;
	}
	return res;
}
int minv(int x, int mod) {
	if (_minv[mod][x] != 0)return _minv[mod][x];
	return _minv[mod][x] = mpow(x, mod - 2, mod);
}
vector<vector<int> > solve(int p, vector<vector<int> > a) {
	int s = 0;
	int dr = -1;
	for (int i = 0; i < a.size() + 1; i++) {
		int flg, r;
		flg = 0;
		for (int j = s; j < a.size(); j++) {
			if (a[j][i] != 0) {
				flg = 1;
				r = j;
				break;
			}
		}
		if (flg == 0) {
			dr = i;
			continue;
		}
		vector<int> t = a[r];
		a[r] = a[s];
		a[s] = t;
		int ip = minv(a[s][i], p);
		for (int j = i; j < a[s].size(); j++) {
			a[s][j] *= ip;
			a[s][j] %= p;
		}
		for (int j = s + 1; j < a.size(); j++) {
			int z = a[j][i];
			for (int k = i; k < a[j].size(); k++) {
				a[j][k] += p - (z*a[s][k] % p);
				a[j][k] %= p;
			}
		}
		s++;
	}
	vector<vector<int> > res;
	for (int i = 0; i < p; i++) {
		vector<int> t = a[0];
		for (int j = 0; j < t.size(); j++) {
			t[j] = 0;
		}
		t[dr] = i;
		for (int j = dr - 1; j >= 0; j--) {
			int s=0;
			for (int k = j + 1; k <= dr; k++) {
				s += t[k] * a[j][k];
				s %= p;
			}
			t[j] = (p - s) % p;
		}
		res.push_back(t);
	}
	return res;
}
vector<vector<int> > pnsolve(int p, int pd, vector<vector<int> > a) {
	if (p == pd)return solve(p, a);
	vector<vector<int> > res;
	vector<vector<int> > b;
	int spd = pd / p;
	for (int i = 0; i < a.size(); i++) {
		vector<int> tb;
		for (int j = 0; j < a[i].size(); j++) {
			tb.push_back(a[i][j] % spd);
		}
		b.push_back(tb);
	}
	vector<vector<int> > tres = pnsolve(p, spd, b);
//	for (int i = 0; i < tres.size(); i++) {
//	}
	return tres;
}
vector<vector<int> > crtsolve(int n, int sn, vector<vector<int> > a) {
	vector<vector<int> > res;
	if (n == 1) {
		vector<int> t;
		for (int i = 0; i < sn; i++) {
			t.push_back(0);
		}
		res.push_back(t);
		return res;
	}
	int pdiv;
	for (int i = 2; i <= n; i++) {
		if (n%i == 0) {
			pdiv = i;
			break;
		}
	}
	int pn = pdiv;
	while (n % (pdiv*pn) == 0) {
		pn *= pdiv;
	}
	int cn = n / pn;
	vector<vector<int> > aa;
	vector<vector<int> > ab;
	for (int i = 0; i < a.size(); i++) {
		vector<int> ta;
		vector<int> tb;
		for (int j = 0; j < a[i].size(); j++) {
			ta.push_back(a[i][j] % pn);
			tb.push_back(a[i][j] % cn);
		}
		aa.push_back(ta);
		ab.push_back(tb);
	}
	vector<vector<int> > resa = pnsolve(pdiv, pn, aa);
	vector<vector<int> > resb = crtsolve(cn, sn, ab);
	for (int i = 0; i < resa.size(); i++) {
		for (int j = 0; j < resb.size(); j++) {
			vector<int> t;
			for (int k = 0; k < sn; k++) {
				int r = resa[i][k];
				while (r%cn != resb[j][k])r += pn;
				t.push_back(r);
			}
			res.push_back(t);
		}
	}
	return res;
}
int main() {
	int n;
	vector<vector<int> > s;
	scanf("%d", &n);
	for (int i = 1; i < n; i++) {
		vector<int> t;
		int r = 1;
		for (int j = 0; j < n; j++) {
			t.push_back(r);
			r *= i;
			r %= n;
		}
		t[i] += n - 1;
		t[i] %= n;
		vector<int> rt;
		for (int j = n - 1; j >= 0; j--) {
			rt.push_back(t[j]);
		}
		s.push_back(rt);
	}
	vector<vector<int> > res = crtsolve(n, n, s);
	std::sort(res.begin(), res.end());
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			printf("%d ", res[i][j]);
		}
		printf("\n");
	}
}

Compilation message

PQ.cpp: In function 'std::vector<std::vector<int> > solve(int, std::vector<std::vector<int> >)':
PQ.cpp:24:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < a.size() + 1; i++) {
                    ^
PQ.cpp:27:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = s; j < a.size(); j++) {
                     ^
PQ.cpp:42:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = i; j < a[s].size(); j++) {
                     ^
PQ.cpp:46:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = s + 1; j < a.size(); j++) {
                         ^
PQ.cpp:48:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int k = i; k < a[j].size(); k++) {
                      ^
PQ.cpp:58:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < t.size(); j++) {
                     ^
PQ.cpp: In function 'std::vector<std::vector<int> > pnsolve(int, int, std::vector<std::vector<int> >)':
PQ.cpp:79:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < a.size(); i++) {
                    ^
PQ.cpp:81:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < a[i].size(); j++) {
                     ^
PQ.cpp: In function 'std::vector<std::vector<int> > crtsolve(int, int, std::vector<std::vector<int> >)':
PQ.cpp:115:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < a.size(); i++) {
                    ^
PQ.cpp:118:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < a[i].size(); j++) {
                     ^
PQ.cpp:127:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < resa.size(); i++) {
                    ^
PQ.cpp:128:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < resb.size(); j++) {
                     ^
PQ.cpp: In function 'int main()':
PQ.cpp:143:17: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
                 ^
PQ.cpp: In function 'std::vector<std::vector<int> > crtsolve(int, int, std::vector<std::vector<int> >)':
PQ.cpp:125:50: warning: 'pdiv' may be used uninitialized in this function [-Wmaybe-uninitialized]
  vector<vector<int> > resa = pnsolve(pdiv, pn, aa);
                                                  ^

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2120 KB Output is correct
2 Correct 0 ms 2120 KB Output is correct
3 Correct 0 ms 2120 KB Output is correct
4 Correct 0 ms 2120 KB Output is correct
5 Correct 0 ms 2120 KB Output is correct
6 Correct 0 ms 2120 KB Output is correct
7 Correct 0 ms 2120 KB Output is correct
8 Correct 0 ms 2120 KB Output is correct
9 Correct 0 ms 2120 KB Output is correct
10 Correct 0 ms 2120 KB Output is correct
11 Correct 0 ms 2120 KB Output is correct
12 Correct 0 ms 2252 KB Output is correct
13 Correct 0 ms 2252 KB Output is correct
14 Correct 0 ms 2252 KB Output is correct
15 Correct 0 ms 2252 KB Output is correct
16 Correct 0 ms 2252 KB Output is correct
17 Correct 0 ms 2252 KB Output is correct
18 Correct 3 ms 2252 KB Output is correct
19 Correct 3 ms 2252 KB Output is correct
20 Correct 3 ms 2384 KB Output is correct
21 Correct 3 ms 2384 KB Output is correct
22 Correct 3 ms 2384 KB Output is correct
23 Correct 6 ms 2384 KB Output is correct
24 Correct 6 ms 2384 KB Output is correct
25 Correct 13 ms 2384 KB Output is correct
26 Correct 13 ms 2516 KB Output is correct
27 Correct 9 ms 2516 KB Output is correct
28 Correct 9 ms 2516 KB Output is correct
29 Correct 13 ms 2516 KB Output is correct
30 Correct 9 ms 2516 KB Output is correct
31 Correct 19 ms 2648 KB Output is correct
32 Correct 19 ms 2780 KB Output is correct
33 Correct 29 ms 2780 KB Output is correct
34 Correct 23 ms 2780 KB Output is correct
35 Correct 29 ms 2912 KB Output is correct
36 Correct 39 ms 2912 KB Output is correct
37 Correct 33 ms 2912 KB Output is correct
38 Correct 36 ms 3044 KB Output is correct
39 Correct 46 ms 3044 KB Output is correct
40 Correct 59 ms 3044 KB Output is correct
41 Correct 49 ms 3176 KB Output is correct
42 Correct 53 ms 3176 KB Output is correct
43 Correct 63 ms 3308 KB Output is correct
44 Correct 76 ms 3308 KB Output is correct
45 Correct 73 ms 3308 KB Output is correct
46 Correct 79 ms 3308 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2120 KB Output is correct
2 Runtime error 0 ms 2120 KB Execution killed with signal 11 (could be triggered by violating memory limits)
3 Halted 0 ms 0 KB -