{"id":1516,"date":"2020-02-22T18:20:48","date_gmt":"2020-02-22T10:20:48","guid":{"rendered":"http:\/\/xiunian.wang\/?p=1516"},"modified":"2021-09-23T00:40:01","modified_gmt":"2021-09-22T16:40:01","slug":"%e5%9b%9b%e4%b8%aa%e4%b8%8d%e5%90%8c%e9%87%8d%e9%87%8f%e7%a0%9d%e7%a0%81%e5%8f%af%e4%bb%a5%e7%a7%b0%e5%87%ba%e5%a4%9a%e7%a7%8d%e9%87%8d%e9%87%8f","status":"publish","type":"post","link":"https:\/\/blog.xiunian.wang\/?p=1516","title":{"rendered":"\u56db\u4e2a\u4e0d\u540c\u91cd\u91cf\u781d\u7801\u53ef\u4ee5\u79f0\u51fa\u591a\u79cd\u91cd\u91cf"},"content":{"rendered":"\n

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\u540e\u6765\u6211\u60f3\u4e86\u60f3C44+C43+C42+C41 =15 \u5440\uff0c\u8fd9\u8fd8\u8981\u4ec0\u4e48\u601d\u8def\u5417\uff1f \u60f3\u8d77\u4ed6\u8bf4\u7684\u662f\u7b97\u6cd5\uff1f\u8fd9tm\u662f\u8ba9\u6211\u8bf4\u7b97\u6cd5\u5427\u3002\u8fd9\u4e0d\u5c31\u662f\u627e\u51fa\u4e00\u4e2a\u6570\u7ec4\u4e2d\u6709\u591a\u5c11\u4e2a\u5b50\u6570\u7ec4\u5417\u3002\u81f3\u4e8e\u653e\u5230\u4e24\u8fb9\u7684\u505a\u6cd5\u5e94\u8be5\u662f\u4e0d\u9700\u8981\u8003\u8651\u5427\u3002<\/p>\n\n\n\n

\u6240\u4ee5\u95ee\u9898\u7b80\u5316\u4e3a\u6c42\u7684\u4e00\u4e2a\u6570\u7ec4\u4e2d\u5b50\u6570\u7ec4\u7684\u7ec4\u5408\u65b9\u5f0f\u6709\u591a\u5c11\u3002<\/p>\n\n\n\n

\u6211\u665a\u4e0a\u82b1\u4e86\u4e00\u4e9b\u65f6\u95f4\u5199\u4e86\u4e00\u4e0b\u3002\u91c7\u7528\u7684\u662f\u52a8\u6001\u89c4\u5212\u7684\u65b9\u5f0f\u3002 <\/p>\n\n\n\n

import java.util.*;\n\n\/\/\u7ed9\u5b9a\u82e5\u5e72\u4e2a\u781d\u7801\uff0c\u6c42\u8d77\u80fd\u591f\u79f0\u51fa\u591a\u5c11\u79cd\u91cd\u91cf\npublic class WeightSolution {\n\n    private List<int[]> getSubArray(int[] weights) {\n        List<int[]> result = new LinkedList<>();\n        for (int i = 1; i <= weights.length; i++) {\n            result.addAll(getSubBySize(i, weights));\n        }\n        return result;\n    }\n\n    private List<int[]> getSubBySize(int size, int[] weights) {\n        List<int[]> result = new LinkedList<>();\n        List<int[]> found = find(size, weights, 0, weights.length);\n        for (int[] ints : found) {\n            int[] values = new int[ints.length];\n            for (int i = 0; i < ints.length; i++) {\n                values[i] = weights[ints[i]];\n            }\n            result.add(values);\n        }\n        return result;\n    }\n\n\n    \/\/\u8fd4\u56de\u6570\u7ec4\u7684\u4e0b\u6807\u7684\u6570\u7ec4\n    private List<int[]> find(int size, int[] weights, int start, int end) {\n        List<int[]> result = new LinkedList<>();\n        if (size == 1) {\n            for (int i = start; i < end; i++) {\n                result.add(new int[]{i});\n            }\n\n            return result;\n        }\n\n        List<int[]> cached = new LinkedList<>();\n        List<int[]> rs = find(size - 1, weights, 0, weights.length);\n        for (int i = 0; i < weights.length; i++) {\n            int first = i;\n            for (int[] r : rs) {\n                if (notIn(first, r)) {\n                    int[] newS = new int[r.length + 1];\n                    newS[0] = first;\n                    System.arraycopy(r, 0, newS, 1, r.length);\n                    if (!isExist(newS, cached)) {\n                        result.add(newS);\n                        cached.add(newS);\n                    } else {\n\/\/                        System.out.println(\"\u5df2\u5b58\u5728:\" + changeToStr(newS));\n                    }\n                }\n                \/\/\u53bb\u91cd\n            }\n        }\n        return result;\n    }\n\n    \/\/\u662f\u5426\u5b58\u5728\u7f13\u5b58\u4e2d\n    private boolean isExist(int[] r, List<int[]> ls) {\n\n        for (int[] s : ls) {\n            if (s.length != r.length) {\n                continue;\n            }\n            int[][] matrix = new int[s.length][s.length];\n            int[] a = r;\n            int[] b = s;\n            for (int i = 0; i < matrix.length; i++) {\n                for (int j = 0; j < matrix[i].length; j++) {\n                    matrix[i][j] = (a[i] == b[j] ? 1 : 0);\n                }\n            }\n            boolean isEqual = true;\n            for (int i = 0; i < matrix.length; i++) {\n                int countH = 0;\n                for (int j = 0; j < matrix[i].length; j++) {\n                    if (matrix[i][j] == 1) {\n                        countH++;\n                        int countV = 0;\n                        for (int k = i; k < matrix.length; k++) {\n                            if (matrix[k][j] == 1) {\n                                countV++;\n                            }\n                        }\n                        if (countV != 1) {\n                            isEqual = false;\n                            break;\n                        }\n                    }\n                }\n                if (countH != 1) {\n                    isEqual = false;\n                    break;\n                }\n            }\n            if (isEqual) {\n                return true;\n            }\n        }\n        return false;\n\n    }\n\n    private boolean notIn(int a, int[] ls) {\n        boolean in = true;\n        for (int l : ls) {\n            if (a == l) {\n                return !in;\n            }\n        }\n        return in;\n    }\n\n    public static void main(String[] args) {\n        int[] rs = new int[]{1, 2, 5, 10};\n\/\/        print(new WeightSolution().getSubBySize(2, rs));\n        print(new WeightSolution().getSubArray(rs));\n    }\n\n    public static void print(List<int[]> list) {\n        for (int[] ints : list) {\n            System.out.print(Arrays.toString(ints));\n            int sum = 0;\n            for (int anInt : ints) {\n                sum += anInt;\n            }\n            System.out.print(\"->\" + sum + \";\");\n        }\n        System.out.println(\"WeightSolution.print\");\n        System.out.println(\"\u79f0\u91cd\u65b9\u6cd5\u6709 [\" + list.size() + \"]\");\n    }\n\n}<\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
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\u4ee51\u4e3a\u957f\u5ea6\u5b50\u5143\u7d20\u89e3\u4e3a\uff1a<\/p>\n\n\n\n
dp(1)={[0],[1],…[n-1]}<\/p>\n\n\n\n
\u4ee52 \u4e3a\u957f\u5ea6\u7684\u89e3\u4e3a\uff1a<\/p>\n\n\n\n
Si*dp(1)  where Si not in dp(1), <\/p>\n\n\n\n
\u4ee5\u6b64\u7c7b\u63a8\uff0c<\/p>\n\n\n\n
 dp(n)=dp(n-1)*Si where Si not in dp(n-1) , i=0…n<\/p>\n\n\n\n
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