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552.java
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552.java
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__________________________________________________________________________________________________
sample 1 ms submission
class Solution {
static final int Mod = 1000_000_007;
static final int[] xs = new int[]{1, 3, 8, 19, 43, 94};
static final int[][] m = new int[][] {
{0, 1, 0, 0, 0, 0},
{0, 0, 1, 0, 0, 0},
{0, 0, 0, 1, 0, 0},
{0, 0, 0, 0, 1, 0},
{0, 0, 0, 0, 0, 1},
{-1, -2, -3, 0, 1, 2},
};
public int checkRecord(int n) {
if(n <= 5) {
return xs[n];
}
int[][] mp = power(m, n - 5);
int[] row = mp[5];
long sum = 0;
for(int i = 0; i < 6; i++) {
sum += (long)row[i] * xs[i];
}
return (int)((sum % Mod + Mod) % Mod);
}
private int[][] power(int[][] m, int n) {
if(n == 1) {
return m;
}
int[][] mp = power(m, n >> 1);
int[][] mp2 = multiply(mp, mp);
if((n & 1) == 1) {
mp2 = multiply(mp2, m);
}
return mp2;
}
private int[][] multiply(int[][] a, int[][] b) {
int[][] c = new int[6][6];
for(int i = 0; i < 6; i++) {
for(int j = 0; j < 6; j++) {
long sum = 0;
for(int k = 0; k < 6; k++) {
sum += (long)a[i][k] * b[k][j];
}
c[i][j] = (int)(sum % Mod);
}
}
return c;
}
}
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sample 31592 kb submission
public class Solution {
public int checkRecord(int n) {
long M = 1000000007;
long a0l0=1;
long a0l1 =0, a0l2 =0, a1l0=0, a1l1 =0, a1l2 =0;
for(int i=0; i< n;i++){
long a0l0Temp = (a0l0+a0l1+a0l2)%M;
// long a0l1Temp = a0l0;
//long a0l2Temp = a0l1;
long a1l0Temp = (a0l0 + a0l1 + a0l2 + a1l0 + a1l1 + a1l2) %M;
//long a1l1Temp = a1l0;
//long a1l2Temp = a1l1;
a0l2 = a0l1;
a0l1 = a0l0;
a1l2 = a1l1;
a1l1 = a1l0;
a0l0 = a0l0Temp;
a1l0 = a1l0Temp;
}
return (int)((a1l1 + a1l0+ a1l2 + a0l0+ a0l1 + a0l2)%M);
}
}
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