Task: | Torni |
Sender: | jnalanko |
Submission time: | 2020-09-25 22:33:04 +0300 |
Language: | C++ (C++17) |
Status: | READY |
Result: | 56 |
group | verdict | score |
---|---|---|
#1 | ACCEPTED | 15 |
#2 | ACCEPTED | 41 |
#3 | TIME LIMIT EXCEEDED | 0 |
test | verdict | time | group | |
---|---|---|---|---|
#1 | ACCEPTED | 0.56 s | 1, 2, 3 | details |
#2 | ACCEPTED | 0.57 s | 2, 3 | details |
#3 | TIME LIMIT EXCEEDED | -- | 3 | details |
Compiler report
input/code.cpp: In function 'Matrix matpow(Matrix, LL)': input/code.cpp:41:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare] if(k < precalc_powers.size()) return precalc_powers[k]; ~~^~~~~~~~~~~~~~~~~~~~~~~
Code
#include <iostream> #include <vector> #include <cassert> typedef long long LL; using namespace std; LL mod = 1e9+7; struct Matrix{ vector<vector<LL> > M; LL n, m; Matrix(LL n, LL m) : n(n), m(m) { M = vector<vector<LL> >(n, vector<LL>(m)); } Matrix operator*(const Matrix& B) { Matrix A = *this; assert(A.m == B.n); Matrix C(A.n, B.m); for(LL i = 0; i < C.n; i++){ for(LL j = 0; j < C.m; j++){ for(LL k = 0; k < A.m; k++){ C.M[i][j] = (C.M[i][j] + A.M[i][k] * B.M[k][j]) % mod; } } } return C; } static Matrix identity(LL n){ Matrix I(n,n); for(LL i = 0; i < n; i++) I.M[i][i] = 1; return I; } }; vector<Matrix> precalc_powers; // Epic säätö Matrix matpow(Matrix M, LL k){ assert(M.n == M.m); // Must be a square matrix if(k < precalc_powers.size()) return precalc_powers[k]; Matrix S = matpow(M, k/2); S = S*S; if(k % 2 == 1) S = S*M; return S; } LL get_id(bool b1, bool b2, bool b3, bool b4, bool b5){ return b1*1 + b2*2 + b3*4 + b4*8 + b5*16; } bool H(LL x, LL pos){ return x & (1 << (pos-1)); } // A below, B above bool fits(LL A, LL B){ if(H(A,1) != H(B,4)) return false; if(H(A,2) != H(B,5)) return false; if(!H(A,1) && !H(A,3) && (H(B,3) || H(B,5))) return false; if(!H(A,2) && !H(A,3) && (H(B,3) || H(B,4))) return false; if(!H(B,3) && !H(B,4) && (H(A,3) || H(A,2))) return false; if(!H(B,3) && !H(B,5) && (H(A,3) || H(A,1))) return false; return true; } void solve(){ LL h; cin >> h; Matrix C(32,1); // State vector C.M[get_id(1,1,1,1,1)][0]++; C.M[get_id(0,1,1,1,1)][0]++; C.M[get_id(1,0,1,1,1)][0]++; C.M[get_id(0,0,1,1,1)][0]++; C.M[get_id(0,0,0,1,1)][0]++; C.M[get_id(1,1,0,1,1)][0]++; Matrix mat = precalc_powers[1]; mat = matpow(mat,h-1); C = mat * C; LL ans = 0; for(LL A = 0; A < 32; A++){ if(H(A,1) && H(A,2)) ans = (ans + C.M[A][0]) % mod; } cout << ans % mod << "\n"; } void precalc(){ Matrix mat(32,32); for(LL A = 0; A < 32; A++){ for(LL B = 0; B < 32; B++){ mat.M[B][A] = fits(A,B); } } precalc_powers.push_back(Matrix::identity(32)); for(LL i = 0; i < 1000; i++){ precalc_powers.push_back(precalc_powers.back() * mat); } } int main(){ precalc(); LL t; cin >> t; while(t--) solve(); }
Test details
Test 1
Group: 1, 2, 3
Verdict: ACCEPTED
input |
---|
10 1 2 3 4 ... |
correct output |
---|
2 8 34 148 650 ... |
user output |
---|
2 8 34 148 650 ... |
Test 2
Group: 2, 3
Verdict: ACCEPTED
input |
---|
100 1 2 3 4 ... |
correct output |
---|
2 8 34 148 650 ... |
user output |
---|
2 8 34 148 650 ... Truncated |
Test 3
Group: 3
Verdict: TIME LIMIT EXCEEDED
input |
---|
100 996306 650655 896240 821967 ... |
correct output |
---|
87350005 606189151 122595036 193572715 227926807 ... |
user output |
---|
(empty) |