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| 1 | + | |
| 2 | +import static utils.Utils.*; | |
| 3 | + | |
| 4 | +import java.io.OutputStreamWriter; | |
| 5 | +import java.io.BufferedWriter; | |
| 6 | +import java.util.Comparator; | |
| 7 | +import java.io.OutputStream; | |
| 8 | +import java.io.PrintWriter; | |
| 9 | +import java.io.Writer; | |
| 10 | +import java.util.List; | |
| 11 | +import java.io.IOException; | |
| 12 | +import java.util.Arrays; | |
| 13 | +import java.util.InputMismatchException; | |
| 14 | +import java.util.ArrayList; | |
| 15 | +import java.util.NoSuchElementException; | |
| 16 | +import java.math.BigInteger; | |
| 17 | +import java.io.InputStream; | |
| 18 | + | |
| 19 | +/// This test is based on Egor Kulikov task solution from | |
| 20 | +/// http://codeforces.com/submissions/Egor | |
| 21 | +/// http://codeforces.com/problemset/problem/336/E | |
| 22 | + | |
| 23 | +/** | |
| 24 | + * Built using CHelper plug-in | |
| 25 | + * Actual solution is at the top | |
| 26 | + * @author Egor Kulikov (egor@egork.net) | |
| 27 | + */ | |
| 28 | +public class EgorTask1Test { | |
| 29 | + public static void main(String[] args) { | |
| 30 | + InputStream inputStream = System.in; | |
| 31 | + OutputStream outputStream = System.out; | |
| 32 | + InputReader in = new InputReader(inputStream); | |
| 33 | + OutputWriter out = new OutputWriter(outputStream); | |
| 34 | + TaskE solver = new TaskE(); | |
| 35 | + solver.solve(1, in, out); | |
| 36 | + out.close(); | |
| 37 | + } | |
| 38 | +} | |
| 39 | + | |
| 40 | +class TaskE { | |
| 41 | + static final long MOD = 1000000007; | |
| 42 | + | |
| 43 | + long[][][] result; | |
| 44 | + long[][][] resultSmall; | |
| 45 | + long[][] c = IntegerUtils.generateBinomialCoefficients(13); | |
| 46 | + | |
| 47 | + public void solve(int testNumber, InputReader in, OutputWriter out) { | |
| 48 | + int size = in.readInt(); | |
| 49 | + int count = in.readInt(); | |
| 50 | + result = new long[size + 1][count + 1][16]; | |
| 51 | + resultSmall = new long[size + 1][count + 1][16]; | |
| 52 | + ArrayUtils.fill(result, -1); | |
| 53 | + ArrayUtils.fill(resultSmall, -1); | |
| 54 | + long answer = calculate(size, count, 0); | |
| 55 | + answer *= IntegerUtils.factorial(count, MOD); | |
| 56 | + answer %= MOD; | |
| 57 | + out.printLine(answer); | |
| 58 | + } | |
| 59 | + | |
| 60 | + private long calculate(int size, int count, int mask) { | |
| 61 | + if (count < 0) | |
| 62 | + return 0; | |
| 63 | + if (result[size][count][mask] != -1) | |
| 64 | + return result[size][count][mask]; | |
| 65 | + long current = 0; | |
| 66 | + if (mask == 0) | |
| 67 | + current += 2 * calculate(0, count - 2, 15); | |
| 68 | + for (int i = 0; i < 4; i++) { | |
| 69 | + int j = (i + 1) & 3; | |
| 70 | + if ((mask >> i & 1) != 0 || (mask >> j & 1) != 0) | |
| 71 | + continue; | |
| 72 | + int remaining = 15 - mask - (1 << i) - (1 << j); | |
| 73 | + for (int k = remaining; ; k = (k - 1) & remaining) { | |
| 74 | + current += calculateSmall(size, count - 1 - Integer.bitCount(k), mask + (1 << i) + (1 << j) + k); | |
| 75 | + if (k == 0) | |
| 76 | + break; | |
| 77 | + } | |
| 78 | + } | |
| 79 | + int remaining = 15 - mask; | |
| 80 | + for (int k = remaining; ; k = (k - 1) & remaining) { | |
| 81 | + current += calculateSmall(size, count - Integer.bitCount(k), mask + k); | |
| 82 | + if (k == 0) | |
| 83 | + break; | |
| 84 | + } | |
| 85 | + return result[size][count][mask] = current % MOD; | |
| 86 | + } | |
| 87 | + | |
| 88 | + private long calculateSmall(int size, int count, int mask) { | |
| 89 | + if (count < 0) | |
| 90 | + return 0; | |
| 91 | + if (resultSmall[size][count][mask] != -1) | |
| 92 | + return resultSmall[size][count][mask]; | |
| 93 | + if (size == 0) | |
| 94 | + return resultSmall[size][count][mask] = count == 0 ? 1 : 0; | |
| 95 | + int max = 3 * Integer.bitCount(15 - mask); | |
| 96 | + int pairCount = 0; | |
| 97 | + for (int i = 0; i < 4; i++) { | |
| 98 | + int j = (i + 1) & 3; | |
| 99 | + if ((mask >> i & 1) == 0 && ((mask >> j & 1) == 0)) | |
| 100 | + pairCount++; | |
| 101 | + } | |
| 102 | + long current = 0; | |
| 103 | + for (int j = 0; j <= pairCount; j++) { | |
| 104 | + for (int i = 0; i <= max - 2 * j; i++) | |
| 105 | + current += calculate(size - 1, count - i - j, mask) * c[max - 2 * j][i] * c[pairCount][j]; | |
| 106 | + } | |
| 107 | + return resultSmall[size][count][mask] = current % MOD; | |
| 108 | + } | |
| 109 | +} | |
| 110 | + | |
| 111 | +class IntegerUtils { | |
| 112 | + | |
| 113 | + public static long[][] generateBinomialCoefficients(int n) { | |
| 114 | + long[][] result = new long[n + 1][n + 1]; | |
| 115 | + for (int i = 0; i <= n; i++) { | |
| 116 | + result[i][0] = 1; | |
| 117 | + for (int j = 1; j <= i; j++) | |
| 118 | + result[i][j] = result[i - 1][j - 1] + result[i - 1][j]; | |
| 119 | + } | |
| 120 | + return result; | |
| 121 | + } | |
| 122 | + | |
| 123 | + public static long factorial(int n, long mod) { | |
| 124 | + long result = 1; | |
| 125 | + for (int i = 2; i <= n; i++) | |
| 126 | + result = result * i % mod; | |
| 127 | + return result % mod; | |
| 128 | + } | |
| 129 | + | |
| 130 | + } | |
| 131 | + | |
| 132 | +class InputReader { | |
| 133 | + | |
| 134 | + private InputStream stream; | |
| 135 | + private byte[] buf = new byte[1024]; | |
| 136 | + private int curChar; | |
| 137 | + private int numChars; | |
| 138 | + private SpaceCharFilter filter; | |
| 139 | + | |
| 140 | + public InputReader(InputStream stream) { | |
| 141 | + this.stream = stream; | |
| 142 | + } | |
| 143 | + | |
| 144 | + public int read() { | |
| 145 | + if (numChars == -1) | |
| 146 | + throw new InputMismatchException(); | |
| 147 | + if (curChar >= numChars) { | |
| 148 | + curChar = 0; | |
| 149 | + try { | |
| 150 | + numChars = stream.read(buf); | |
| 151 | + } catch (IOException e) { | |
| 152 | + throw new InputMismatchException(); | |
| 153 | + } | |
| 154 | + if (numChars <= 0) | |
| 155 | + return -1; | |
| 156 | + } | |
| 157 | + return buf[curChar++]; | |
| 158 | + } | |
| 159 | + | |
| 160 | + public int readInt() { | |
| 161 | + int c = read(); | |
| 162 | + while (isSpaceChar(c)) | |
| 163 | + c = read(); | |
| 164 | + int sgn = 1; | |
| 165 | + if (c == '-') { | |
| 166 | + sgn = -1; | |
| 167 | + c = read(); | |
| 168 | + } | |
| 169 | + int res = 0; | |
| 170 | + do { | |
| 171 | + if (c < '0' || c > '9') | |
| 172 | + throw new InputMismatchException(); | |
| 173 | + res *= 10; | |
| 174 | + res += c - '0'; | |
| 175 | + c = read(); | |
| 176 | + } while (!isSpaceChar(c)); | |
| 177 | + return res * sgn; | |
| 178 | + } | |
| 179 | + | |
| 180 | + public boolean isSpaceChar(int c) { | |
| 181 | + if (filter != null) | |
| 182 | + return filter.isSpaceChar(c); | |
| 183 | + return isWhitespace(c); | |
| 184 | + } | |
| 185 | + | |
| 186 | + public static boolean isWhitespace(int c) { | |
| 187 | + return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; | |
| 188 | + } | |
| 189 | + | |
| 190 | + public interface SpaceCharFilter { | |
| 191 | + public boolean isSpaceChar(int ch); | |
| 192 | + } | |
| 193 | +} | |
| 194 | + | |
| 195 | +class OutputWriter { | |
| 196 | + private final PrintWriter writer; | |
| 197 | + | |
| 198 | + public OutputWriter(OutputStream outputStream) { | |
| 199 | + writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream))); | |
| 200 | + } | |
| 201 | + | |
| 202 | + public OutputWriter(Writer writer) { | |
| 203 | + this.writer = new PrintWriter(writer); | |
| 204 | + } | |
| 205 | + | |
| 206 | + public void print(Object...objects) { | |
| 207 | + for (int i = 0; i < objects.length; i++) { | |
| 208 | + if (i != 0) | |
| 209 | + writer.print(' '); | |
| 210 | + writer.print(objects[i]); | |
| 211 | + } | |
| 212 | + } | |
| 213 | + | |
| 214 | + public void printLine(Object...objects) { | |
| 215 | + print(objects); | |
| 216 | + writer.println(); | |
| 217 | + } | |
| 218 | + | |
| 219 | + public void close() { | |
| 220 | + writer.close(); | |
| 221 | + } | |
| 222 | + | |
| 223 | + } | |
| 224 | + | |
| 225 | +class ArrayUtils { | |
| 226 | + | |
| 227 | + public static void fill(long[][] array, long value) { | |
| 228 | + for (long[] row : array) | |
| 229 | + Arrays.fill(row, value); | |
| 230 | + } | |
| 231 | + | |
| 232 | + public static void fill(long[][][] array, long value) { | |
| 233 | + for (long[][] row : array) | |
| 234 | + fill(row, value); | |
| 235 | + } | |
| 236 | + | |
| 237 | + } | |