{"id":151,"date":"2020-11-19T04:35:00","date_gmt":"2020-11-19T04:35:00","guid":{"rendered":"https:\/\/imwarming.com\/?p=151"},"modified":"2020-11-19T04:35:00","modified_gmt":"2020-11-19T04:35:00","slug":"%e7%ba%bf%e6%ae%b5%e6%a0%91","status":"publish","type":"post","link":"https:\/\/imwarming.com\/?p=151","title":{"rendered":"\u7ebf\u6bb5\u6811"},"content":{"rendered":"

\u9884\u5907\u77e5\u8bc6\uff1a\u61d2\u60f0\u6807\u5fd7\uff0c\u5c31\u662f\u5728\u4e8c\u53c9\u6811\u91cc\uff0ca\u6709b c\u4e24\u4e2a\u5b50\u513f\u5b50\uff0c\u73b0\u5728\u8981\u7ed9b c\u5404\u52a01\uff0c\u5148\u4e0d\u76f4\u63a5\u52a0\u5230b c\u4e0a\uff0c\u628a\u5b83\u4fe9\u8981\u52a0\u7684\u503c\u5148\u52a0\u5230a\u4e0a\uff0c\u5f85\u8981\u5b9e\u9645\u7528\u65f6a\u518d\u628a\u503c\u4f20\u7ed9\u4ed6\u4eec\u3002<\/p>\n

\u7ebf\u6bb5\u6811\u662f\u7b97\u6cd5\u7ade\u8d5b\u4e2d\u5e38\u7528\u7684\u7528\u6765\u7ef4\u62a4 \u533a\u95f4\u4fe1\u606f<\/strong> \u7684\u6570\u636e\u7ed3\u6784\u3002<\/p>\n

\u7ebf\u6bb5\u6811\u53ef\u4ee5\u5728 o(log n) \u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5185\u5b9e\u73b0\u5355\u70b9\u4fee\u6539\u3001\u533a\u95f4\u4fee\u6539\u3001\u533a\u95f4\u67e5\u8be2\uff08\u533a\u95f4\u6c42\u548c\uff0c\u6c42\u533a\u95f4\u6700\u5927\u503c\uff0c\u6c42\u533a\u95f4\u6700\u5c0f\u503c\uff09\u7b49\u64cd\u4f5c\u3002<\/p>\n

\u5efa\u6811\uff0c\u5148\u5efa\u603b\u7684\u533a\u95f4\uff0c\u7136\u540e\u518d\u5efa\u5b83\u5de6\u53f3\u5b50\u6811\uff0c\u5b83\u5de6\u53f3\u5b50\u6811\u662f\u5176\u7236\u7ed3\u70b9\u533a\u95f4\u7684\u5de6\u53f3\u5404\u534a\uff0c\u5230\u6700\u540e\u53f6\u5b50\u7ed3\u70b9\u4e3a\u81ea\u5df1\u4e3a\u6b62\u3002<\/p>\n

\u6ce8\u610f\uff1a\u4e0b\u6587\u7684s\uff0c t\u662f\u6570\u7ec4\u6700\u5de6\u6700\u53f3\uff1bl\uff0c r \u662f\u8981\u67e5\u7684<\/p>\n

\n
\/\/<\/span>\u5efa\u6811<\/span>\nvoid<\/span> build(int<\/span> s, int<\/span> t, int<\/span> p) {\n    <\/span>\/\/<\/span> \u5bf9 [s,t] \u533a\u95f4\u5efa\u7acb\u7ebf\u6bb5\u6811,\u5f53\u524d\u6839\u7684\u7f16\u53f7\u4e3a p<\/span>\n    if<\/span> (s == t) {\n        d[p] <\/span>= a[s];\n        <\/span>return<\/span>;\n    }\n    <\/span>int<\/span> m = (s + t) \/ 2<\/span>;\n    build(s, m, p <\/span>* 2<\/span>), build(m + 1<\/span>, t, p * 2<\/span> + 1<\/span>);\n    <\/span>\/\/<\/span> \u9012\u5f52\u5bf9\u5de6\u53f3\u533a\u95f4\u5efa\u6811<\/span>\n    d[p] = d[p * 2<\/span>] + d[(p * 2<\/span>) + 1<\/span>];\/\/<\/span>d\u6570\u7ec4\u662f\u8be5\u533a\u95f4\u7684\u503c<\/span>\n}<\/pre>\n<\/div>\n
\u67e5\u8be2\uff0c\u6309\u533a\u95f4\u5de6\u53f3\u4e24\u534a\u4e00\u76f4\u641c<\/p>\n
\n
\/\/<\/span>\u67e5\u8be2\u533a\u95f4\u503c<\/span>\nint<\/span> getsum(int<\/span> l, int<\/span> r, int<\/span> s, int<\/span> t, int<\/span> p) {\n    <\/span>\/\/<\/span> [l,r] \u4e3a\u67e5\u8be2\u533a\u95f4,[s,t] \u4e3a\u5f53\u524d\u8282\u70b9\u5305\u542b\u7684\u533a\u95f4,p \u4e3a\u5f53\u524d\u8282\u70b9\u7684\u7f16\u53f7<\/span>\n    if<\/span> (l <= s && t <= r)\n        <\/span>return<\/span> d[p];  \/\/<\/span> \u5f53\u524d\u533a\u95f4\u4e3a\u8be2\u95ee\u533a\u95f4\u7684\u5b50\u96c6\u65f6\u76f4\u63a5\u8fd4\u56de\u5f53\u524d\u533a\u95f4\u7684\u548c<\/span>\n    int<\/span> m = (s + t) \/ 2<\/span>, sum = 0<\/span>;\n    <\/span>if<\/span> (l <= m) sum += getsum(l, r, s, m, p * 2<\/span>);\/\/<\/span>\u8981\u67e5\u7684l < m,s\u5230t\u5185\u67e5l\u5230m\u7684\u8fd9\u4e00\u534a\n    <\/span>\/\/<\/span> \u5982\u679c\u5de6\u513f\u5b50\u4ee3\u8868\u7684\u533a\u95f4 [l,m] \u4e0e\u8be2\u95ee\u533a\u95f4\u6709\u4ea4\u96c6,\u5219\u9012\u5f52\u67e5\u8be2\u5de6\u513f\u5b50<\/span>\n    if<\/span> (r > m) sum += getsum(l, r, m + 1<\/span>, t, p * 2<\/span> + 1<\/span>);\/\/<\/span>\u540c\u4e0a\n    <\/span>\/\/<\/span> \u5982\u679c\u53f3\u513f\u5b50\u4ee3\u8868\u7684\u533a\u95f4 [m+1,r] \u4e0e\u8be2\u95ee\u533a\u95f4\u6709\u4ea4\u96c6,\u5219\u9012\u5f52\u67e5\u8be2\u53f3\u513f\u5b50<\/span>\n    return<\/span> sum;\n}<\/span><\/pre>\n<\/div>\n
\u533a\u95f4\u4fee\u6539\uff08\u533a\u95f4\u52a0\u4e0a\u67d0\u4e2a\u503c\uff09\u5e26\u61d2\u60f0\u6807\u8bb0 \uff1a<\/p>\n
\n
\/\/<\/span>\u533a\u95f4\u4fee\u6539<\/span>\nvoid<\/span> update(int<\/span> l, int<\/span> r, int<\/span> c, int<\/span> s, int<\/span> t, int<\/span> p) {\n    <\/span>\/\/<\/span> [l,r] \u4e3a\u4fee\u6539\u533a\u95f4,c \u4e3a\u88ab\u4fee\u6539\u7684\u5143\u7d20\u7684\u53d8\u5316\u91cf,[s,t] \u4e3a\u5f53\u524d\u8282\u70b9\u5305\u542b\u7684\u533a\u95f4,p\n    <\/span>\/\/<\/span> \u4e3a\u5f53\u524d\u8282\u70b9\u7684\u7f16\u53f7<\/span>\n    if<\/span> (l <= s && t <= r) {\n        d[p] <\/span>+= (t - s + 1<\/span>) * c, b[p] += c;\/\/<\/span>b\u503c\u4e3a\u5b83\u672a\u4f20\u7ed9\u5de6\u53f3\u513f\u5b50\u7684\u503c\uff0c\u4e5f\u505a\u61d2\u60f0\u6807\u8bb0\u7528<\/span>\n        return<\/span>;\n    }  <\/span>\/\/<\/span> \u5f53\u524d\u533a\u95f4\u4e3a\u4fee\u6539\u533a\u95f4\u7684\u5b50\u96c6\u65f6\u76f4\u63a5\u4fee\u6539\u5f53\u524d\u8282\u70b9\u7684\u503c,\u7136\u540e\u6253\u6807\u8bb0,\u7ed3\u675f\u4fee\u6539<\/span>\n    int<\/span> m = (s + t) \/ 2<\/span>;\n    <\/span>if<\/span> (b[p] && s != t) {\n        <\/span>\/\/<\/span> \u5982\u679c\u5f53\u524d\u8282\u70b9\u7684\u61d2\u6807\u8bb0\u975e\u7a7a,\u5219\u66f4\u65b0\u5f53\u524d\u8282\u70b9\u4e24\u4e2a\u5b50\u8282\u70b9\u7684\u503c\u548c\u61d2\u6807\u8bb0\u503c<\/span>\n        d[p * 2<\/span>] += b[p] * (m - s + 1<\/span>), d[p * 2<\/span> + 1<\/span>] += b[p] * (t - m);\n        b[p <\/span>* 2<\/span>] += b[p], b[p * 2<\/span> + 1<\/span>] += b[p];  \/\/<\/span> \u5c06\u6807\u8bb0\u4e0b\u4f20\u7ed9\u5b50\u8282\u70b9<\/span>\n        b[p] = 0<\/span>;                                \/\/<\/span> \u6e05\u7a7a\u5f53\u524d\u8282\u70b9\u7684\u6807\u8bb0<\/span>\n    }\n    <\/span>if<\/span> (l <= m) update(l, r, c, s, m, p * 2<\/span>);\n    <\/span>if<\/span> (r > m) update(l, r, c, m + 1<\/span>, t, p * 2<\/span> + 1<\/span>);\n    d[p] <\/span>= d[p * 2<\/span>] + d[p * 2<\/span> + 1<\/span>];\/\/<\/span>\u66f4\u65b0d\u6570\u7ec4<\/span>\n}<\/pre>\n<\/div>\n
\u533a\u95f4\u67e5\u8be2\uff08\u533a\u95f4\u6c42\u548c\uff09\u5e26\u61d2\u60f0\u6807\u8bb0\uff1a<\/p>\n
\n
int<\/span> getsum(int<\/span> l, int<\/span> r, int<\/span> s, int<\/span> t, int<\/span> p) {\n    <\/span>\/\/<\/span> [l,r] \u4e3a\u67e5\u8be2\u533a\u95f4,[s,t] \u4e3a\u5f53\u524d\u8282\u70b9\u5305\u542b\u7684\u533a\u95f4,p\u4e3a\u5f53\u524d\u8282\u70b9\u7684\u7f16\u53f7<\/span>\n    if<\/span> (l <= s && t <= r) return<\/span> d[p];\n    <\/span>\/\/<\/span> \u5f53\u524d\u533a\u95f4\u4e3a\u8be2\u95ee\u533a\u95f4\u7684\u5b50\u96c6\u65f6\u76f4\u63a5\u8fd4\u56de\u5f53\u524d\u533a\u95f4\u7684\u548c<\/span>\n    int<\/span> m = (s + t) \/ 2<\/span>;\n    <\/span>if<\/span> (b[p]) {\n        <\/span>\/\/<\/span> \u5982\u679c\u5f53\u524d\u8282\u70b9\u7684\u61d2\u6807\u8bb0\u975e\u7a7a,\u5219\u66f4\u65b0\u5f53\u524d\u8282\u70b9\u4e24\u4e2a\u5b50\u8282\u70b9\u7684\u503c\u548c\u61d2\u6807\u8bb0\u503c<\/span>\n        d[p * 2<\/span>] += b[p] * (m - s + 1<\/span>), d[p * 2<\/span> + 1<\/span>] += b[p] * (t - m),\n        b[p <\/span>* 2<\/span>] += b[p], b[p * 2<\/span> + 1<\/span>] += b[p];  \/\/<\/span> \u5c06\u6807\u8bb0\u4e0b\u4f20\u7ed9\u5b50\u8282\u70b9<\/span>\n        b[p] = 0<\/span>;                                    \/\/<\/span> \u6e05\u7a7a\u5f53\u524d\u8282\u70b9\u7684\u6807\u8bb0<\/span>\n    }\n    <\/span>int<\/span> sum = 0<\/span>;\n    <\/span>if<\/span> (l <= m) sum = getsum(l, r, s, m, p * 2<\/span>);\n    <\/span>if<\/span> (r > m) sum += getsum(l, r, m + 1<\/span>, t, p * 2<\/span> + 1<\/span>);\n    <\/span>return<\/span> sum;\n}<\/span><\/pre>\n<\/div>\n
\u5982\u679c\u662f\u8981\u5b9e\u73b0\u533a\u95f4\u4fee\u6539\u4e3a\u67d0\u4e00\u4e2a\u503c\u800c\u4e0d\u662f\u52a0\u4e0a\u67d0\u4e00\u4e2a\u503c\u7684\u8bdd\uff0c\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n
\n
void<\/span> update(int<\/span> l, int<\/span> r, int<\/span> c, int<\/span> s, int<\/span> t, int<\/span> p) {\n    <\/span>if<\/span> (l <= s && t <= r) {\n        d[p] <\/span>= (t - s + 1<\/span>) * c, b[p] = c;\n        <\/span>return<\/span>;\n    }\n    <\/span>int<\/span> m = (s + t) \/ 2<\/span>;\n    <\/span>if<\/span> (b[p]) {\n        d[p <\/span>* 2<\/span>] = b[p] * (m - s + 1<\/span>), d[p * 2<\/span> + 1<\/span>] = b[p] * (t - m),\n        b[p <\/span>* 2<\/span>] = b[p * 2<\/span> + 1<\/span>] = b[p]; \/\/<\/span> += \u53d8 =<\/span>\n        b[p] = 0<\/span>;\n    }\n    <\/span>if<\/span> (l <= m) update(l, r, c, s, m, p * 2<\/span>);\n    <\/span>if<\/span> (r > m) update(l, r, c, m + 1<\/span>, t, p * 2<\/span> + 1<\/span>);\n    d[p] <\/span>= d[p * 2<\/span>] + d[p * 2<\/span> + 1<\/span>];\n}\n<\/span>int<\/span> getsum(int<\/span> l, int<\/span> r, int<\/span> s, int<\/span> t, int<\/span> p) {\n    <\/span>if<\/span> (l <= s && t <= r) return<\/span> d[p];\n    <\/span>int<\/span> m = (s + t) \/ 2<\/span>;\n    <\/span>if<\/span> (b[p]) {\n        d[p <\/span>* 2<\/span>] = b[p] * (m - s + 1<\/span>), d[p * 2<\/span> + 1<\/span>] = b[p] * (t - m),\n        b[p <\/span>* 2<\/span>] = b[p * 2<\/span> + 1<\/span>] = b[p];\/\/<\/span> += \u53d8 =<\/span>\n        b[p] = 0<\/span>;\n    }\n    <\/span>int<\/span> sum = 0<\/span>;\n    <\/span>if<\/span> (l <= m) sum = getsum(l, r, s, m, p * 2<\/span>);\n    <\/span>if<\/span> (r > m) sum += getsum(l, r, m + 1<\/span>, t, p * 2<\/span> + 1<\/span>);\n    <\/span>return<\/span> sum;\n}<\/span><\/pre>\n<\/div>\n
\u9898\u76ee\u5f85\u7eed…<\/p>\n
 <\/div>\n
 <\/div>\n","protected":false},"excerpt":{"rendered":"
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