結果
問題 | No.621 3 x N グリッド上のドミノの置き方の数 |
ユーザー | uwi |
提出日時 | 2017-12-21 00:10:20 |
言語 | Java21 (openjdk 21) |
結果 |
AC
|
実行時間 | 147 ms / 3,000 ms |
コード長 | 5,157 bytes |
コンパイル時間 | 6,125 ms |
コンパイル使用メモリ | 78,356 KB |
実行使用メモリ | 54,416 KB |
最終ジャッジ日時 | 2023-08-22 11:07:01 |
合計ジャッジ時間 | 16,758 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge13 |
(要ログイン)
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 71 ms
50,936 KB |
testcase_01 | AC | 82 ms
51,884 KB |
testcase_02 | AC | 68 ms
51,268 KB |
testcase_03 | AC | 70 ms
51,528 KB |
testcase_04 | AC | 71 ms
51,304 KB |
testcase_05 | AC | 73 ms
51,208 KB |
testcase_06 | AC | 74 ms
51,536 KB |
testcase_07 | AC | 76 ms
51,840 KB |
testcase_08 | AC | 74 ms
51,264 KB |
testcase_09 | AC | 80 ms
51,780 KB |
testcase_10 | AC | 80 ms
49,948 KB |
testcase_11 | AC | 77 ms
51,404 KB |
testcase_12 | AC | 78 ms
51,784 KB |
testcase_13 | AC | 99 ms
51,916 KB |
testcase_14 | AC | 110 ms
51,904 KB |
testcase_15 | AC | 116 ms
51,972 KB |
testcase_16 | AC | 109 ms
51,996 KB |
testcase_17 | AC | 118 ms
52,348 KB |
testcase_18 | AC | 119 ms
51,908 KB |
testcase_19 | AC | 119 ms
51,964 KB |
testcase_20 | AC | 125 ms
53,888 KB |
testcase_21 | AC | 120 ms
52,336 KB |
testcase_22 | AC | 124 ms
53,876 KB |
testcase_23 | AC | 123 ms
54,008 KB |
testcase_24 | AC | 127 ms
53,900 KB |
testcase_25 | AC | 132 ms
54,108 KB |
testcase_26 | AC | 129 ms
53,964 KB |
testcase_27 | AC | 140 ms
53,856 KB |
testcase_28 | AC | 144 ms
53,860 KB |
testcase_29 | AC | 144 ms
53,876 KB |
testcase_30 | AC | 143 ms
54,116 KB |
testcase_31 | AC | 141 ms
54,184 KB |
testcase_32 | AC | 129 ms
54,352 KB |
testcase_33 | AC | 142 ms
54,404 KB |
testcase_34 | AC | 141 ms
54,076 KB |
testcase_35 | AC | 133 ms
54,416 KB |
testcase_36 | AC | 144 ms
54,032 KB |
testcase_37 | AC | 145 ms
51,976 KB |
testcase_38 | AC | 143 ms
54,032 KB |
testcase_39 | AC | 142 ms
53,964 KB |
testcase_40 | AC | 140 ms
53,888 KB |
testcase_41 | AC | 141 ms
53,976 KB |
testcase_42 | AC | 143 ms
53,972 KB |
testcase_43 | AC | 142 ms
54,016 KB |
testcase_44 | AC | 142 ms
53,920 KB |
testcase_45 | AC | 143 ms
54,384 KB |
testcase_46 | AC | 146 ms
54,344 KB |
testcase_47 | AC | 147 ms
52,316 KB |
testcase_48 | AC | 143 ms
53,932 KB |
testcase_49 | AC | 134 ms
53,888 KB |
testcase_50 | AC | 144 ms
54,300 KB |
testcase_51 | AC | 142 ms
53,968 KB |
testcase_52 | AC | 145 ms
54,084 KB |
testcase_53 | AC | 141 ms
54,348 KB |
testcase_54 | AC | 144 ms
54,064 KB |
testcase_55 | AC | 141 ms
53,968 KB |
testcase_56 | AC | 141 ms
54,016 KB |
testcase_57 | AC | 133 ms
54,036 KB |
testcase_58 | AC | 134 ms
53,884 KB |
testcase_59 | AC | 142 ms
54,224 KB |
testcase_60 | AC | 143 ms
53,960 KB |
testcase_61 | AC | 143 ms
53,940 KB |
testcase_62 | AC | 136 ms
53,888 KB |
testcase_63 | AC | 126 ms
53,832 KB |
testcase_64 | AC | 128 ms
54,380 KB |
testcase_65 | AC | 127 ms
53,952 KB |
testcase_66 | AC | 131 ms
54,012 KB |
testcase_67 | AC | 128 ms
53,968 KB |
ソースコード
package adv2017; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class N621 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { long n = nl(); int mod = 1000000007; // 3 4 5 // 0 1 2 int[][] M = new int[1<<6][1<<6]; for(int i = 0;i < 1<<6;i++){ int ni = i<<3; int[] can = {9, 18, 36, 3, 6}; dfs(ni, 0, can, M, i); } int[] v = new int[64]; v[63] = 1; v = pow(M, v, n); long ret = 0; outer: for(int j = 0;j < 64;j++){ for(int i = 0;i < 6;i++){ if(i < 3){ int q = 9<<i; if((j&q) == 0)continue outer; } if(i % 3 != 2){ int q = 3<<i; if((j&q) == 0)continue outer; } } ret += v[j]; } out.println(ret%mod); } void dfs(int ni, int pos, int[] can, int[][] M, int from) { if(pos == can.length){ for(int i = 3;i < 9;i++){ if(i < 6){ int q = 9<<i; if((ni&q) == 0)return; } if(i % 3 != 2){ int q = 3<<i; if((ni&q) == 0)return; } } M[ni&63][from]++; return; } if((can[pos]&ni) == 0){ dfs(ni|can[pos], pos+1, can, M, from); } dfs(ni, pos+1, can, M, from); } ///////// begin public static final int mod = 1000000007; public static final long m2 = (long)mod*mod; public static final long BIG = 8L*m2; // A^e*v public static int[] pow(int[][] A, int[] v, long e) { for(int i = 0;i < v.length;i++){ if(v[i] >= mod)v[i] %= mod; } int[][] MUL = A; for(;e > 0;e>>>=1) { if((e&1)==1)v = mul(MUL, v); MUL = p2(MUL); } return v; } // int matrix*int vector public static int[] mul(int[][] A, int[] v) { int m = A.length; int n = v.length; int[] w = new int[m]; for(int i = 0;i < m;i++){ long sum = 0; for(int k = 0;k < n;k++){ sum += (long)A[i][k] * v[k]; if(sum >= BIG)sum -= BIG; } w[i] = (int)(sum % mod); } return w; } // int matrix^2 (be careful about negative value) public static int[][] p2(int[][] A) { int n = A.length; int[][] C = new int[n][n]; for(int i = 0;i < n;i++){ long[] sum = new long[n]; for(int k = 0;k < n;k++){ for(int j = 0;j < n;j++){ sum[j] += (long)A[i][k] * A[k][j]; if(sum[j] >= BIG)sum[j] -= BIG; } } for(int j = 0;j < n;j++){ C[i][j] = (int)(sum[j] % mod); } } return C; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new N621().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }