====== 2020牛客暑期多校训练营(第七场) ====== ===== Results ===== ==== Summary ==== * Solved 4 out of 10 problems * Rank 56 / 1140 in official records * Solved 6 out of 10 afterwards
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7大吉大利,今晚吃 mian();4246+
01:03
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2/6
==== Member Distribution ==== ^ Solved ^ A ^ B ^ C ^ D ^ E ^ F ^ G ^ H ^ I ^ J ^ | Pantw | | | | √ | | | | √ | | √ | | Withinlover | O | | O | | | | | | | | | Gary | | √ | | | | | | | O | | (√ for solved, O for upsolved, - for tried but not solved) ---- ====== Solutions ====== ===== A ===== 应当学学打表的新姿势了( 赛后过题 + 1 直接暴搜的复杂度太高了,然后就贪心的想最大值可能都是十分接近边界的点 于是想到按点到原点的距离排个序,只用前30个搜 然后愉快的WA了 后来改成40个过了(据说可以直接搜过去然而没有成功) ===== B ===== 尽量选最大的吧 具体没太证 void work(int n,int m){ while(n&&m){ if(n ===== C ===== 主要是1和3操作,2操作单独记一下就解决了 1操作可以转化到根节点上,但是会把根节点到被操作节点的整颗子树的答案算错。修正的方法是加一个等差数列,由于只会查询单点的值所以可以差分一下变成区间加法和单点查询。 ===== D ===== 本来想写 py,后来想一想直接猜只有 $n=1$ 和 $n=24$ 这两个解,就直接过了 ===== E ===== ===== F ===== ===== G ===== ===== H ===== 这个题就是求 $$\sum\limits_{k=1}^{n}\left(2\lfloor\cfrac{n}{k}\rfloor+\left[n\bmod{k}\neq 0\right]\right)$$ 直接数论分块即可。 ===== I ===== dp如代码所示,主要写下g数组怎么求 对于n个节点的无根树求$\sum d_i^2$ 可以枚举数字在prufer序列出现的次数i,从n-2个节点中选出i个的方案为$C_{n-2}^i$,这i个位置全填1,2...n都是可行的,剩余的n-i-2个位置用剩下的n-1个数随便填满即可,方案数为${(n-1)}^{n-2-i}$ 故$\sum d_i^2=C_{n-2}^i \times n \times {(n-1)}^{n-2-i} \times {(i+1)}^2$ for(int n=2;n ===== J ===== 直接按题意模拟即可。 struct Statement { enum Type { Alloc, Assign, Store, Load } type; struct Operand { enum Type { Variable, Object, Field } type; char str[3]; int p0, p1; void determine() { if(str[1] == '.') type = Field, p0 = str[0] - 'A', p1 = str[2] - 'a'; else if(islower(str[0])) type = Object, p0 = str[0] - 'a'; else type = Variable, p0 = str[0] - 'A'; } } left, right; void determine() { if(left.type == Operand::Variable && right.type == Operand::Object) type = Alloc; else if(left.type == Operand::Variable && right.type == Operand::Variable) type = Assign; else if(left.type == Operand::Field && right.type == Operand::Variable) type = Store; else if(left.type == Operand::Variable && right.type == Operand::Field) type = Load; } int execute() { int ret = 0, pop; switch(type) { case Alloc: if(A[left.p0] & (1 << right.p0)) ret = 0; else A[left.p0] |= (1 << right.p0), ret = 1; break; case Assign: ret = __builtin_popcount(A[left.p0]); A[left.p0] |= A[right.p0]; ret = __builtin_popcount(A[left.p0]) - ret; break; case Store: for(int i = 0; i < 26; ++i) { if(A[left.p0] & (1 << i)) { pop = __builtin_popcount(G[i][left.p1]); G[i][left.p1] |= A[right.p0]; ret += __builtin_popcount(G[i][left.p1]) - pop; } } break; case Load: pop = __builtin_popcount(A[left.p0]); for(int i = 0; i < 26; ++i) { if(A[right.p0] & (1 << i)) { A[left.p0] |= G[i][right.p1]; } } ret = __builtin_popcount(A[left.p0]) - pop; break; } return ret; } } prog[233]; ------------- ====== Comments ====== ptw: * 希望以后自己推式子的时候仔细一点,别再漏项了 (I) * 早点想 C 或许就过了,以及板子的正确性是很重要的 * A 的暴力为啥最后没打呢 Withinlover: * A题可以打表,写C之前应该把A的暴力先调出来的( * 对板子不太熟悉了,C调了好久,赛后过题( Gary: * I题逆元求错了 (真的zz) * 需要好好维护一下板子库