結果
問題 | No.288 貯金箱の仕事 |
ユーザー | tanzaku |
提出日時 | 2015-10-12 01:16:49 |
言語 | Java21 (openjdk 21) |
結果 |
TLE
|
実行時間 | - |
コード長 | 8,103 bytes |
コンパイル時間 | 2,671 ms |
コンパイル使用メモリ | 90,200 KB |
実行使用メモリ | 73,568 KB |
最終ジャッジ日時 | 2024-07-21 07:06:52 |
合計ジャッジ時間 | 7,312 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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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 | 48 ms
42,012 KB |
testcase_01 | AC | 54 ms
36,984 KB |
testcase_02 | AC | 46 ms
36,984 KB |
testcase_03 | AC | 46 ms
36,988 KB |
testcase_04 | AC | 46 ms
36,836 KB |
testcase_05 | AC | 45 ms
36,988 KB |
testcase_06 | AC | 45 ms
36,900 KB |
testcase_07 | AC | 46 ms
36,900 KB |
testcase_08 | AC | 46 ms
36,992 KB |
testcase_09 | AC | 47 ms
36,900 KB |
testcase_10 | AC | 46 ms
36,956 KB |
testcase_11 | AC | 47 ms
36,684 KB |
testcase_12 | AC | 48 ms
37,040 KB |
testcase_13 | AC | 49 ms
37,108 KB |
testcase_14 | AC | 49 ms
36,900 KB |
testcase_15 | AC | 49 ms
36,836 KB |
testcase_16 | AC | 48 ms
37,324 KB |
testcase_17 | AC | 50 ms
37,044 KB |
testcase_18 | AC | 48 ms
36,992 KB |
testcase_19 | AC | 47 ms
37,232 KB |
testcase_20 | AC | 47 ms
37,184 KB |
testcase_21 | AC | 49 ms
37,300 KB |
testcase_22 | AC | 47 ms
37,084 KB |
testcase_23 | AC | 81 ms
38,712 KB |
testcase_24 | TLE | - |
testcase_25 | -- | - |
testcase_26 | -- | - |
testcase_27 | -- | - |
testcase_28 | -- | - |
testcase_29 | -- | - |
testcase_30 | -- | - |
testcase_31 | -- | - |
testcase_32 | -- | - |
testcase_33 | -- | - |
testcase_34 | -- | - |
testcase_35 | -- | - |
testcase_36 | -- | - |
testcase_37 | -- | - |
testcase_38 | -- | - |
testcase_39 | -- | - |
testcase_40 | -- | - |
testcase_41 | -- | - |
testcase_42 | -- | - |
testcase_43 | -- | - |
testcase_44 | -- | - |
testcase_45 | -- | - |
testcase_46 | -- | - |
testcase_47 | -- | - |
testcase_48 | -- | - |
testcase_49 | -- | - |
testcase_50 | -- | - |
testcase_51 | -- | - |
testcase_52 | -- | - |
testcase_53 | -- | - |
testcase_54 | -- | - |
testcase_55 | -- | - |
ソースコード
import java.io.*; import java.math.*; import java.util.*; import javax.management.RuntimeErrorException; import static java.util.Arrays.*; public class Main { private static final int mod = (int)1e9+7; final Random random = new Random(0); final IOFast io = new IOFast(); /// MAIN CODE public void run() throws IOException { // int TEST_CASE = Integer.parseInt(new String(io.nextLine()).trim()); int TEST_CASE = 1; while(TEST_CASE-- != 0) { int n = io.nextInt(); long m = io.nextLong(); int[] A = io.nextIntArray(n); long[] K = io.nextLongArray(n); for(int i = 0; i < n; i++) m -= A[i] * K[i]; io.out.println(solve(A, -m)); } } // min Σ C[i] s.t. Σ A[i] * C[i] = X, A[i] >= 0, C[i] >= 0 long solve(final int[] A, final long X) { if(X < 0) return -1; Arrays.sort(A); final int n = A.length; final int maxElem = A[n - 1]; // final long[] minUseMaxElem = bfs01(A, 1); // final long[] other = bfs01(A, 0); // dump(minUseMaxElem, other, X / maxElem); // if(minUseMaxElem[(int)(X%maxElem)] > X / maxElem) { // return -1; // } // else { // return other[(int)(X%maxElem)] + X / maxElem; // } final List<long[]> dps = func(A); long ans = Long.MAX_VALUE; for(int i = 0; i < dps.size() && X / maxElem - i >= 0; i++) { final long[] cur = dps.get(i); // dump(i, cur); ans = Math.min(ans, X / maxElem - i + cur[(int)(X % maxElem)]); // System.err.println(i + " " + X / maxElem + " " + cur[(int)(X % maxElem)]); } return ans >= Long.MAX_VALUE / 2 ? -1 : ans; } List<long[]> func(final int[] A) { final int maxElem = A[A.length - 1]; final List<long[]> dps = new ArrayList<long[]>(); for(int i = 0; ; i++) { final long[] dp = new long[maxElem]; if(i == 0) { Arrays.fill(dp, Long.MAX_VALUE / 2); dp[0] = 0; } else { final long[] prev = dps.get(i-1); for(int j = 0; j < maxElem; j++) { dp[j] = Math.min(prev[j] + 1, Long.MAX_VALUE / 2); } } for(int j = 0; j < maxElem; j++) { for(int a : A) { if(j >= a) { dp[j] = Math.min(dp[j-a]+1, dp[j]); } else if(i != 0) { final long[] prev = dps.get(i-1); dp[j] = Math.min(prev[maxElem+j-a]+1, dp[j]); } } } dps.add(dp); if(i != 0) { final long[] prev = dps.get(i-1); boolean ok = false; for(int j = 0; j < maxElem; j++) { if(dp[j] != Long.MAX_VALUE) { ok |= dp[j] - 1 < prev[j]; } } if(!ok) break; } } return dps; } long[] bfs01(final int[] A, final int countMaxElem) { final Deque<Integer> deq = new ArrayDeque<Integer>(); final int maxElem = A[A.length - 1]; final long[] dp = new long[maxElem]; Arrays.fill(dp, Long.MAX_VALUE); dp[0] = 0; deq.add(0); while(!deq.isEmpty()) { final int idx = deq.pollFirst(); for(int i = 0; i < A.length - 1; i++) { int v = A[i] + idx; if(v >= maxElem) { v -= maxElem; if(dp[v] > dp[idx] + countMaxElem) { dp[v] = dp[idx] + countMaxElem; if(countMaxElem == 0) { deq.addFirst(v); } else { deq.addLast(v); } } } else { if(dp[v] > dp[idx] + (countMaxElem^1)) { dp[v] = dp[idx] + (countMaxElem^1); if((countMaxElem^1) == 0) { deq.addFirst(v); } else { deq.addLast(v); } } } } } return dp; } /// TEMPLATE static int gcd(int n, int r) { return r == 0 ? n : gcd(r, n%r); } static long gcd(long n, long r) { return r == 0 ? n : gcd(r, n%r); } static <T> void swap(T[] x, int i, int j) { T t = x[i]; x[i] = x[j]; x[j] = t; } static void swap(int[] x, int i, int j) { int t = x[i]; x[i] = x[j]; x[j] = t; } static void dump(Object... o) { System.err.println(Arrays.deepToString(o)); } void main() throws IOException { // IOFast.setFileIO("rle-size.in", "rle-size.out"); try { run(); } catch (EndOfFileRuntimeException e) { } io.out.flush(); } public static void main(String[] args) throws IOException { new Main().main(); } static class EndOfFileRuntimeException extends RuntimeException { private static final long serialVersionUID = -8565341110209207657L; } static public class IOFast { private BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); private PrintWriter out = new PrintWriter(System.out); void setFileIn(String ins) throws IOException { in.close(); in = new BufferedReader(new FileReader(ins)); } void setFileOut(String outs) throws IOException { out.flush(); out.close(); out = new PrintWriter(new FileWriter(outs)); } void setFileIO(String ins, String outs) throws IOException { setFileIn(ins); setFileOut(outs); } private static int pos, readLen; private static final char[] buffer = new char[1024 * 8]; private static char[] str = new char[500*8*2]; private static boolean[] isDigit = new boolean[256]; private static boolean[] isSpace = new boolean[256]; private static boolean[] isLineSep = new boolean[256]; static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; } public int read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new EndOfFileRuntimeException(); } } return buffer[pos++]; } public int nextInt() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; int ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } } int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } int reads(char[] cs, int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } cs[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(EndOfFileRuntimeException e) { ; } return Arrays.copyOf(str, len); } public String nextString() throws IOException { return new String(next()); } public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); } // public int next(char[] cs) throws IOException { int len = 0; cs[len++] = nextChar(); len = reads(cs, len, isSpace); return len; } public double nextDouble() throws IOException { return Double.parseDouble(nextString()); } public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; } public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; } public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; } public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; } public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; } } }