{"id":95598,"date":"2020-03-30T10:54:00","date_gmt":"2020-03-30T02:54:00","guid":{"rendered":"http:\/\/4563.org\/?p=95598"},"modified":"2020-03-30T10:54:00","modified_gmt":"2020-03-30T02:54:00","slug":"%e8%bf%99%e6%a0%b7%e7%9a%84%e9%9d%a2%e8%af%95%e9%a2%98%e6%98%af%e5%90%a6%e6%9c%89%e6%84%8f%e4%b9%89%ef%bc%9f","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=95598","title":{"rendered":"\u8fd9\u6837\u7684\u9762\u8bd5\u9898\u662f\u5426\u6709\u610f\u4e49\uff1f"},"content":{"rendered":"
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\u8fd9\u6837\u7684\u9762\u8bd5\u9898\u662f\u5426\u6709\u610f\u4e49\uff1f <\/h1>\n

<\/p>\n

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\u8cc7\u6df1\u5927\u4f6c : lewis89 <\/span> <\/i> 59<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
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\u4e00\u4e2a\u7b97\u6cd5\u9898<\/p>\n

\u8981\u6c42\u7528\u4e8c\u5206\u67e5\u627e\u5b9e\u73b0<\/p>\n

public double sqrt(int num){     \/\/\u5b9e\u73b0 } <\/code><\/pre>\n
 \/**      * \u4e8c\u5206\u67e5\u627e \u6c42\u5e73\u65b9\u6839      * @param num      * @return      *\/     public double sqrt(int num) {         \/\/\u8fd9\u4e2a\u9898\u5e94\u8be5\u8981\u770b\u7cbe\u5ea6 \u5982\u679c\u6ca1\u6709\u7279\u6b8a\u7684\u7cbe\u5ea6\u8981\u6c42         double low = 0;         double high = num;         while (low < high) {             double mid = (low + high) \/ 2;             if ((mid * mid) > num) {                 high = mid;             } else if ((mid * mid) < num) {                 low = mid;             } else {                 \/\/ mid * mid == num \u56e0\u4e3a\u6211\u505a\u8fd9\u4e2a\u9898\u76ee\u65f6\u5019\u4f1a\u89c9\u5f97\u8fd9\u4e2a\u6761\u4ef6\u53ef\u80fd\u6c38\u8fdc\u4e0d\u4f1a\u6210\u7acb                 \/\/ \u4f46\u662f double \u7c7b\u578b\u5b58\u5728\u4e00\u4e2a\u7cbe\u5ea6\u95ee\u9898                 \/\/ \u5f53 mid \u7684\u7cbe\u5ea6\u5230\u8fbe\u4e00\u5b9a\u4f4d\u7f6e\u65f6\u5019 mid * mid \u4f1a\u5f97\u5230\u4e00\u4e2a\u6574\u6570 \u5176\u521a\u597d\u662f num \u7684\u8fd1\u4f3c\u5e73\u65b9\u6839                 return mid;             }         }         return -1;     } <\/code><\/pre>\n
\u8fd9\u4e2a\u9898\u76ee \u5f53\u65f6\u662f\u6ca1\u6709\u7cbe\u5ea6\u8981\u6c42\u7684\uff0c\u6211\u6839\u672c\u5c31\u60f3\u4e0d\u5230 \u4e24\u4e2a double \u76f8\u4e58\uff0c\u5728\u4e00\u5b9a\u7cbe\u5ea6\u60c5\u51b5\u4e0b\u5c45\u7136\u80fd\u591f\u5f97\u5230\u4e00\u4e2a\u6574\u6570\uff0c \u5f53\u7136\u6211\u7406\u89e3\u5176\u4e2d\u7684\u539f\u7406\uff0c\u7531\u4e8e\u4e8c\u8fdb\u5236\u957f\u5ea6\u9650\u5236\uff0c\u6709\u9650\u7684\u4f4d\u7f6e\u4e0d\u53ef\u80fd\u8868\u793a\u65e0\u9650\u7cbe\u5ea6\u7684\u5c0f\u6570\uff0c\u6240\u4ee5\u5176\u4e58\u6cd5\u8fd0\u7b97\u53ef\u80fd\u4f1a\u51fa\u73b0\u6ea2\u51fa\u7684\u60c5\u51b5\uff0c\u7136\u540e\u4e58\u6cd5\u8fd0\u7b97\u6ea2\u51fa\u540e\u7684\u7ed3\u679c\u521a\u521a\u662f\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n<\/p><\/div>\n
 \u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (24<\/span>)        <\/div>\n
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     \u8cc7\u6df1\u5927\u4f6c : yuankui <\/span>  <\/div>\n
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                                                                 \u9762\u8bd5\u5b98\u6b63\u5728\u4e3a\u81ea\u5df1\u60f3\u5230\u8fd9\u4e48\u4f18\u79c0\u7684\u89e3\u6cd5\u800c\u9a84\u50b2                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @yuankui #1 \u8fd9\u4e2a\u89e3\u6cd5\u662f\u6211\u4e8b\u540e\u60f3\u5230\u7684\uff0c\u51fa\u9898\u7684\u4e8b\u540e \u4ed6\u4e5f\u6ca1\u8bb2\u7cbe\u5ea6\uff0c\u6ca1\u6709\u7cbe\u5ea6\u7ea6\u675f\u7684\u8bdd \u53ea\u80fd\u8fd9\u6837\u6c42\u89e3\uff0c\u4f46\u662f\u6211\u53c8\u4e0d\u6562\u8fd9\u6837\u5199\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : RtIHZ <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 “`
    const double DELTA = 0.000001;
    if (abs(mid * mid – num) < DELTA) {
    \/\/ …
    }
    “`                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : InkStone <\/span>  <\/div>\n
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                                                                 \u6211\u89c9\u5f97\u4f60\u60f3\u591a\u4e86\uff0c\u9762\u8bd5\u5b98\u53ef\u80fd\u5355\u7eaf\u662f\u60f3\u8ba9\u4f60\u7528\u725b\u987f\u6cd5\u2026\u2026                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : RtIHZ <\/span>  <\/div>\n
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                                                                 \u8fd9\u9898\u6211\u89c9\u5f97\u51fa\u7684\u6ca1\u6bdb\u75c5\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : InkStone <\/span>  <\/div>\n
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                                                                 \u6216\u8005\u5c31\u50cf\u4e09\u90a3\u4e48\u5199\u4e8c\u5206\uff0c\u5b8c\u5168\u6ca1\u6709\u95ee\u9898\u3002\u4e3b\u4f60\u4e8b\u540e\u60f3\u51fa\u6765\u7684\u8fd9\u4e2a\u5199\u6cd5\u6709 UB\uff0c\u80af\u5b9a\u4e0d\u80fd\u8fd9\u4e48\u5199\u7684\u2026\u2026                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @InkStone #4 \u6307\u660e\u4e86\u8981\u7528\u4e8c\u5206\u6cd5..                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @InkStone #6 \u6211\u77e5\u9053 3 \u90a3\u4e2a\u5199\u6cd5\u4e5f\u662f\u4e00\u4e2a\u9009\u62e9..                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : also24 <\/span>  <\/div>\n
     <\/i>            <\/span> <\/div>\n<\/p><\/div>\n
                                                                 \u65e2\u7136\u4f60\u5df2\u7ecf\u610f\u8bc6\u5230\u4e86\u7cbe\u5ea6\u95ee\u9898\uff0c\u90a3\u4e48\u5b8c\u5168\u53ef\u4ee5\u5b9a\u4e49\u4e00\u4e2a\u7cbe\u5ea6\u9608\u503c\uff1a<\/p>\n
    \u7c7b\u4f3c\uff1aconst double eps =1e-7;<\/p>\n
    \u7136\u540e\u6700\u540e\u4e00\u4e2a else \u6539\u4e3a\uff1aelse if ( fabs ((mid * mid) -num ) < eps )<\/p>\n
    \u5982\u679c\u5bb3\u6015\u9762\u8bd5\u5b98\u770b\u4e0d\u61c2\uff0c\u5728 eps \u90a3\u4e00\u53e5\u518d\u52a0\u4e0a\u4e2a\u6ce8\u91ca\u5c31\u597d\u4e86\u3002                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @also24 #9 \u9762\u8bd5\u7684\u65f6\u5019 \u6ca1\u60f3\u5230\u8fc7 \u4e00\u822c\u90fd\u662f\u505a\u7684\u6574\u6570\u67e5\u627e \u8fed\u4ee3\u7684\u7ec8\u6b62\u6761\u4ef6\u6bd4\u8f83\u6e05\u695a mid == target 
    \u5c0f\u6570\u5f53\u65f6\u6ca1\u6709\u610f\u8bc6\u5230\uff0c\u5c34\u5c2c\u4e86..                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : bitholic <\/span>  <\/div>\n
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                                                                 \u9762\u8bd5\u5b98\u53ef\u80fd\u53ea\u662f\u968f\u4fbf\u627e\u4e86\u5230 leetcode \u539f\u9898\u800c\u5df2\uff0chttps:\/\/leetcode.com\/problems\/sqrtx\/                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : zhgg0 <\/span>  <\/div>\n
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                                                                 \u4f60\u8fd9\u5199\u6cd5\u6700\u7ec8\u5f97\u5230\u7684\u7ed3\u679c\u5dee\u592a\u8fdc\u4e86\u5427\uff0c\u4e0d\u8003\u8651\u5c0f\u6570\u4f4d\uff0c\u5f97\u5230\u7684\u6574\u6570\u4f4d\u90fd\u4e0d\u5bf9\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : xuanbg <\/span>  <\/div>\n
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                                                                 \u4e3b\u8fd9\u4e2a\u7b97\u6cd5\u8ba1\u7b97 2 \u7684\u5e73\u65b9\u6839\u8981\u8fed\u4ee3\u591a\u5c11\u6b21\u554a\u2026\u2026\u800c\u4e14\u7b97\u4e0d\u51c6 4\u30019\u300116 \u8fd9\u4e9b\u6570\u7684\u5e73\u65b9\u6839                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : misdake <\/span>  <\/div>\n
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                                                                 mid \u4e0d\u518d\u53d8\u5316\u7684\u65f6\u5019\uff0c\u53d6 low \u548c high \u4e2d\u8bef\u5dee\u8f83\u5c0f\u7684\u4e00\u4e2a\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : lhx2008 <\/span>  <\/div>\n
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                                                                 \u8fd9\u4e2a\u9898\u672c\u8d28\u662f\u4e8c\u5206\u67e5\u627e\uff0c\u4e8c\u5206\u67e5\u627e\u4e0d\u603b\u662f\u6709\u7b49\u4e8e\u53f7\u7684\u60c5\u51b5\u7684\uff0c\u53ef\u4ee5\u53c2\u8003 lower bound \u7684\u5199\u6cd5\uff0c\u6216\u8005\u4e00\u4e2a\u7b80\u5355\u7684\u53d8\u5f0f\uff0c\u627e[0,0,0,0,1,1,1] \u4e2d 0 \u7684\u4e2a\u6570\uff0c\u8fd9\u4e2a\u9898\u5176\u5b9e if \u683c\u5f0f\u548c\u5e73\u65b9\u6839\u662f\u4e00\u6837\u7684\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : xupefei <\/span>  <\/div>\n
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                                                                 \u4f60\u53ef\u4ee5\u5199 if(mid*mid >= num && (mid+1)*(mid+1) <= num) return mid \u54c7\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : lewis89 <\/span>  <\/div>\n
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                                                                 @xuanbg #13 \u4f60\u8fd0\u884c\u4e00\u4e0b\u8bd5\u8bd5 \u53ef\u4ee5\u7b97\u51c6\u7684\uff0c\u5bf9\u4e8e\u6ca1\u6cd5\u76f4\u63a5\u6574\u6570\u7684 \u53ef\u80fd\u6709\u8bef\u5dee                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : ihciah <\/span>  <\/div>\n
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                                                                 impl Solution {
     pub fn my_sqrt(x: i32) -> i32 {
     let mut low: i64 = 0;
     let mut high: i64 = x as i64;
     while low < high {
     let mid = low + (high – low + 1) \/ 2;
     if mid * mid > x as i64 {
     high = mid – 1;
     } else {
     low = mid;
     }
     }
     low as i32
     }
    }
    \u4e0d\u662f\u7cbe\u786e\u67e5\u627e\uff0cif \u4e24\u4e2a\u5206\u652f\u5c31\u591f\u4e86\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @xupefei #16 \u5f53\u65f6\u6ca1\u60f3\u8fc7\uff0c\u5b9e\u9645\u4e0a\u4e0d\u4e00\u5b9a\u8981\u76f8\u7b49\u624d\u80fd\u7ed3\u675f\u8fed\u4ee3\uff0c\u53ef\u4ee5\u5dee\u503c\u5728\u4e00\u4e2a\u8303\u56f4\u5185 break \u51fa\u8fed\u4ee3 \u4e5f\u80fd\u8fd4\u56de\u4e00\u4e2a\u8fd1\u4f3c\u503c                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @bitholic #11 \u5e76\u4e0d\u662f \u4e0a\u9762\u8981\u6c42\u7684\u8fd4\u56de\u503c\u662f double \u7c7b\u578b\uff0c\u6ca1\u8981\u6c42 int \u7c7b\u578b\uff0cdouble \u7c7b\u578b\u7684\u8bdd OJ \u4e0d\u592a\u597d\u5224\u9898                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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                                                                 @bitholic #11 \u5982\u679c\u662f int \u578b\u7684\u8bdd \u6211\u53ef\u80fd\u5c31\u5df2\u7ecf\u60f3\u51fa\u6765\u4e86                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : ebingtel <\/span>  <\/div>\n
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                                                                 double mid = (low + high) \/ 2;\u2026\u2026\u5bb9\u6613\u6ea2\u51fa\u7684\u5427                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : ineed123 <\/span>  <\/div>\n
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                                                                 double mid = (high – low) \/ 2 + low; \u6216 double mid = low + ((high – low) >> 1); \/\/ \u9632\u6b62\u6ea2\u51fa                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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     \u8cc7\u6df1\u5927\u4f6c : Jrue0011 <\/span>  <\/div>\n
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                                                                 \u770b\u5230\u4e3b\u8fd9\u5e16\u5b50\u3002\u3002\u6211\u8fd9\u79cd\u5927\u5b66\u6570\u5b66\u5168\u5fd8\u4e86\u7684\u5728\u7f51\u4e0a\u641c\u4e86\u4e0b\uff0c\u9ad8\u6570\u91cc\u6709\u4e2a\u4e8c\u5206\u6cd5\u6c42\u65b9\u7a0b\u6839\u7684\u8fd1\u4f3c\u503c\uff0c\u522b\u8bf4\u8fd8\u633a\u50cf\u7684\u3002\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n
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