{"id":74148,"date":"2026-02-09T08:33:25","date_gmt":"2026-02-09T00:33:25","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/74148.html"},"modified":"2026-02-09T08:33:25","modified_gmt":"2026-02-09T00:33:25","slug":"abc-%e6%9d%82%e9%a2%98%e9%80%89%e8%ae%b23","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/74148.html","title":{"rendered":"ABC \u6742\u9898\u9009\u8bb23"},"content":{"rendered":"<p>\u9898\u76ee on Luogu&#xff1a;[ABC438E] Heavy Buckets<\/p>\n<p>\u524d\u7f6e\u829d\u58eb&#xff1a;\u500d\u589e\u3002<\/p>\n<p>\u5982\u679c\u4f60\u76f4\u63a5\u53bb\u770b\u8fd9\u9053\u9898\u76ee&#xff0c;\u90a3\u4e48\u80af\u5b9a\u4f1a\u6ca1\u6709\u601d\u8def\u3002<\/p>\n<p>\u4e00\u5171\u8981\u8fdb\u884c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          10 <\/p>\n<p>          9 <\/p>\n<p>        10^9 <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6b21\u64cd\u4f5c&#xff0c;\u53c8\u8981\u8be2\u95ee\u4e00\u4e9b\u64cd\u4f5c\u540e\u4efb\u610f\u4e00\u4e2a\u6c34\u6876\u7684\u6c34\u5bb9\u91cf&#xff0c;\u8fd9\u770b\u8d77\u6765\u6839\u672c\u4e0d\u53ef\u5b9e\u73b0\u3002\u8fd9\u65f6&#xff0c;\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e00\u79cd\u975e\u5e38\u795e\u5947\u7684\u601d\u60f3\u2014\u2014\u500d\u589e\u3002\u5982\u4e0b\u662f\u4e24\u4e2a\u72b6\u6001\u7684\u5b9a\u4e49&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          n <\/p>\n<p>          x <\/p>\n<p>           t <\/p>\n<p>            j <\/p>\n<p>            , <\/p>\n<p>            i <\/p>\n<p>         nxt_{j,i} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9012em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u4ece\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          j <\/p>\n<p>         j <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6c34\u6876\u8fdb\u884c\u4e86 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           2 <\/p>\n<p>           i <\/p>\n<p>         2^i <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8247em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6b21\u64cd\u4f5c\u540e\u6240\u5728\u7684\u4eba\u7684\u7f16\u53f7&#xff1b;<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>          s <\/p>\n<p>          u <\/p>\n<p>           m <\/p>\n<p>            j <\/p>\n<p>            , <\/p>\n<p>            i <\/p>\n<p>         sum_{j,i} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          j <\/p>\n<p>         j <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.854em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6c34\u6876\u8fdb\u884c\u4e86 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           2 <\/p>\n<p>           i <\/p>\n<p>         2^i <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8247em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8247em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6b21\u64cd\u4f5c\u540e\u6c34\u6876\u4e2d\u7684\u603b\u6c34\u91cf\u3002<\/li>\n<\/ul>\n<p>\u663e\u800c\u6613\u89c1&#xff0c;\u8fd9\u4e24\u4e2a\u6570\u7ec4\u7684\u9884\u5904\u7406\u975e\u5e38\u5bb9\u6613&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          n <\/p>\n<p>          x <\/p>\n<p>           t <\/p>\n<p>            j <\/p>\n<p>            , <\/p>\n<p>            i <\/p>\n<p>          &#061; <\/p>\n<p>          n <\/p>\n<p>          x <\/p>\n<p>           t <\/p>\n<p>            n <\/p>\n<p>            x <\/p>\n<p>             t <\/p>\n<p>              j <\/p>\n<p>              , <\/p>\n<p>              i <\/p>\n<p>              \u2212 <\/p>\n<p>              1 <\/p>\n<p>            , <\/p>\n<p>            i <\/p>\n<p>            \u2212 <\/p>\n<p>            1 <\/p>\n<p>         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class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9624em;vertical-align: -0.3473em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2819em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3473em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          s <\/p>\n<p>          u <\/p>\n<p>           m <\/p>\n<p>            j <\/p>\n<p>            , <\/p>\n<p>            i <\/p>\n<p>          &#061; <\/p>\n<p>          s <\/p>\n<p>          u <\/p>\n<p>           m <\/p>\n<p>            j <\/p>\n<p>            , <\/p>\n<p>            i <\/p>\n<p>            \u2212 <\/p>\n<p>            1 <\/p>\n<p>          &#043; <\/p>\n<p>          s <\/p>\n<p>          u <\/p>\n<p>           m <\/p>\n<p>            n <\/p>\n<p>            x <\/p>\n<p>             t <\/p>\n<p>              j <\/p>\n<p>              , <\/p>\n<p>              i <\/p>\n<p>              \u2212 <\/p>\n<p>              1 <\/p>\n<p>            i <\/p>\n<p>            \u2212 <\/p>\n<p>            1 <\/p>\n<p>         sum_{j,i}&#061;sum_{j,i-1}&#043;sum_{nxt_{j,i-1}i-1} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8694em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7779em;vertical-align: -0.3473em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2819em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3473em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5bf9\u4e8e\u521d\u59cb\u5316&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         n <\/p>\n<p>         x <\/p>\n<p>          t <\/p>\n<p>           i <\/p>\n<p>           , <\/p>\n<p>           0 <\/p>\n<p>         &#061; <\/p>\n<p>          a <\/p>\n<p>          i <\/p>\n<p>        nxt_{i,0}&#061;a_i <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9012em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\"><span class=\"mord mathnormal\">t<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5373\u8fdb\u884c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          2 <\/p>\n<p>          0 <\/p>\n<p>         &#061; <\/p>\n<p>         1 <\/p>\n<p>        2^0&#061;1 <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u6b21\u4f20\u9012\u81ea\u7136\u5728\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          a <\/p>\n<p>          i <\/p>\n<p>        a_i <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e2a\u4eba\u624b\u91cc&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         s <\/p>\n<p>         u <\/p>\n<p>          m <\/p>\n<p>           i <\/p>\n<p>           , <\/p>\n<p>           0 <\/p>\n<p>         &#061; <\/p>\n<p>         i <\/p>\n<p>        sum_{i,0}&#061;i <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mord\"><span class=\"mord mathnormal\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u5373\u7ecf\u8fc7\u4e00\u6b21\u64cd\u4f5c\u540e\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         i <\/p>\n<p>        i <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6c34\u6876\u53ea\u88ab\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         i <\/p>\n<p>        i <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u4e2a\u4eba\u52a0\u8fc7\u6c34\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\u8981\u67e5\u8be2\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         T <\/p>\n<p>        T <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span> \u6b21\u64cd\u4f5c\u4ee5\u540e\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         B <\/p>\n<p>        B <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span> \u4e2a\u6c34\u6876\u7684\u6c34\u5bb9\u91cf&#xff0c;\u8fd9\u65f6\u53ef\u4ee5\u76f4\u63a5\u8fdb\u884c\u4e8c\u8fdb\u5236\u8df3\u6cd5&#xff0c;\u4ece <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           log <\/p>\n<p>           \u2061 <\/p>\n<p>          2 <\/p>\n<p>         ( <\/p>\n<p>          10 <\/p>\n<p>          9 <\/p>\n<p>         ) <\/p>\n<p>        \\\\log_2(10^9) <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mop\"><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.207em\"><span class=\"\" style=\"top: -2.4559em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2441em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u5f00\u59cb&#xff0c;\u4f9d\u6b21\u8fdb\u884c\u5c1d\u8bd5&#xff0c;\u5982\u679c\u53ef\u4ee5\u8df3&#xff0c;\u5219\u5411\u524d\u8df3&#xff0c;\u5e76\u52a0\u4e0a\u8fd9\u4e00\u6b21\u8df3\u7684\u6c34\u5bb9\u91cf&#xff0c;\u5e76\u5c06 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         T <\/p>\n<p>        T <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span> \u51cf\u5c11\u76f8\u5e94\u7684\u503c\u3002\u6700\u7ec8\u7ed3\u679c\u5373\u4e3a\u8df3\u8fc7\u7a0b\u4e2d\u7d2f\u8ba1\u7684\u6c34\u91cf\u548c\u3002<\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;bits\/stdc&#043;&#043;.h&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">define<\/span> <span class=\"token macro-name\">int<\/span> <span class=\"token expression\"><span class=\"token keyword\">long<\/span> <span class=\"token keyword\">long<\/span> <\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> N<span class=\"token operator\">&#061;<\/span><span class=\"token number\">2e5<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> a<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span>nxt<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">33<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span>sum<span class=\"token punctuation\">[<\/span>N<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">33<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8bb0\u5f97\u5f00\u5927\u4e00\u70b9<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> ans<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">&#061;<\/span><span class=\"token number\">31<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&gt;&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><span class=\"token comment\">\/\/\u4ece\u5927\u5230\u5c0f\u8df3<\/span><br \/>\n<span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token operator\">&gt;&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1ll<\/span><span class=\"token operator\">&lt;&lt;<\/span>i<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><span class=\"token comment\">\/\/\u53ef\u4ee5\u8df3<\/span><br \/>\nans<span class=\"token operator\">&#043;&#061;<\/span>sum<span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u7d2f\u8ba1\u6c34\u91cf<\/span><br \/>\ny<span class=\"token operator\">&#061;<\/span>nxt<span class=\"token punctuation\">[<\/span>y<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u5411\u524d\u8df3<\/span><br \/>\nx<span class=\"token operator\">-&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">&lt;&lt;<\/span>i<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u51cf\u53bb\u8fd9\u6b21\u8df3\u7684\u64cd\u4f5c\u6570<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> ans<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">solve<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">,<\/span>q<span class=\"token punctuation\">;<\/span><br \/>\ncin<span class=\"token operator\">&gt;&gt;<\/span>n<span class=\"token operator\">&gt;&gt;<\/span>q<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&lt;&#061;<\/span>n<span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\ncin<span class=\"token operator\">&gt;&gt;<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nnxt<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u521d\u59cb\u5316<\/span><br \/>\nsum<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span>i<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&lt;&#061;<\/span><span class=\"token number\">31<\/span><span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><span class=\"token comment\">\/\/\u9884\u5904\u7406<\/span><br \/>\n<span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>j<span class=\"token operator\">&lt;&#061;<\/span>n<span class=\"token punctuation\">;<\/span>j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\nnxt<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span>nxt<span class=\"token punctuation\">[<\/span>nxt<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\nsum<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;<\/span>sum<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;<\/span>sum<span class=\"token punctuation\">[<\/span>nxt<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>q<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">int<\/span> t<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">;<\/span><br \/>\ncin<span class=\"token operator\">&gt;&gt;<\/span>t<span class=\"token operator\">&gt;&gt;<\/span>b<span class=\"token punctuation\">;<\/span><br \/>\ncout<span class=\"token operator\">&lt;&lt;<\/span><span class=\"token function\">query<\/span><span class=\"token punctuation\">(<\/span>t<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">)<\/span><span class=\"token operator\">&lt;&lt;<\/span><span class=\"token char\">&#039;\\\\n&#039;<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u67e5\u8be2<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">signed<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\nios<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">sync_with_stdio<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ncin<span class=\"token punctuation\">.<\/span><span class=\"token function\">tie<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>cout<span class=\"token punctuation\">.<\/span><span class=\"token function\">tie<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> T<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>T<span class=\"token operator\">&#8212;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token function\">solve<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9898\u76ee on Luogu&#xff1a;[ABC438E] Heavy Buckets<br \/>\n\u524d\u7f6e\u829d\u58eb&#xff1a;\u500d\u589e\u3002<br \/>\n\u5982\u679c\u4f60\u76f4\u63a5\u53bb\u770b\u8fd9\u9053\u9898\u76ee&#xff0c;\u90a3\u4e48\u80af\u5b9a\u4f1a\u6ca1\u6709\u601d\u8def\u3002<br \/>\n\u4e00\u5171\u8981\u8fdb\u884c  10 9 10^9 109 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