题目

Description

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" alt="在这里插入图片描述">

Input

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" alt="在这里插入图片描述">

Output

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" alt="在这里插入图片描述">

Sample Input

123 1234 234 2345 5

Sample Output

470244

Data Constraint

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" alt="在这里插入图片描述">

题目大意

求满足(x⨁y)mod  m=0(x \bigoplus y) \mod m=0(x⨁y)modm=0的x,yx,yx,y个数,其中x∈(l1,r1)  y∈(l2,r2)x \in (l_1,r_1)\ \ y \in (l_2,r_2)x∈(l1​,r1​)  y∈(l2​,r2​)


思考历程

一眼望去,毫无头绪……

异或会和取模有什么关系?

想半天,拿了30分暴力,便弃之。

正解

没错,异或和取模的确没有什么关系。

所以不要认为是什么奇葩数论题。

正确的思路是将其分成许多段连续的区间,然后直接计算贡献。

那么怎么划分?

首先,我们可以将lll先当成111。因为只要求出这个情况的答案,那么就可以通过二维前缀和的方式算出整一题的答案。

对于上界xxx和yyy,分别枚举它们为111的位数(作为第一个小于上界的位)。

设这两个位数分别为iii和jjj。

如果比iii高的位不变,将iii设为000,那么比iii低的位无论如何取值,都不可能超过上限。

设mx=max⁡(i,j)  mn=min⁡(i,j)mx=\max(i,j) \ \ mn=\min(i,j)mx=max(i,j)  mn=min(i,j)

我们可以将两者异或起来的结果分为三段。

首先是最高位到mxmxmx位,这些位的异或结果是固定的。

然后mxmxmx到mnmnmn位,在这里的异或结果可以是任意的,并且每一个异或结果对应着唯一的一种方案。

最后是mnmnmn到最低位,这里的异或结果也是任意的,并且每一个异或结果对应着2mn2^{mn}2mn种方案。

异或的结果的取值范围为[t,t+2mx)[t,t+2^{mx})[t,t+2mx),t为前面已经确定的异或结果。

这样就可以直接通过除法算出这段区间的贡献了。



(⌊t+2mx−1m⌋−⌊t−1m⌋)2mn\left(\lfloor \frac{t+2^{mx}-1}{m} \rfloor-\lfloor \frac{t-1}{m} \rfloor\right)2^{mn}(⌊mt+2mx−1​⌋−⌊mt−1​⌋)2mn

还有,求ttt的时候有一点需要注意:

ttt已经确定的部分是mxmxmx及之前的部分,而对于mxmxmx为要特殊处理一下。

如果i=ji=ji=j,那么mxmxmx位中两者都是111,异或起来为000,相当于0⨁00 \bigoplus 00⨁0,不理它。

如果i≠ji \neq ji̸​=j,由于mxmxmx位需要修改成000,所以需要将mxmxmx为取个反。

详见一下代码。


代码

using namespace std;
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#define mod 998244353
long long l1,r1,l2,r2,m;
long long ans(long long,long long);
int main(){
freopen("mod.in","r",stdin);
freopen("mod.out","w",stdout);
scanf("%lld%lld%lld%lld%lld",&l1,&r1,&l2,&r2,&m);
printf("%lld\n",(ans(r1,r2)-ans(l1-1,r2)-ans(r1,l2-1)+ans(l1-1,l2-1)+mod+mod)%mod);
return 0;
}
long long ans(long long x,long long y){
x++,y++;
long long res=0;
for (int i=59;i>=0;--i)
if (x>>i&1)
for (int j=59;j>=0;--j)
if (y>>j&1){
int mx=max(i,j),mn=i+j-mx;
long long cur=(x^y^((i==j)?0:1ll<<mx))>>mx<<mx;//具体解释见上,还有后面的右移左移是为了将后面的东西清除掉
if (cur==0)
res=(res+(((1ll<<mx)-1)/m+1)%mod*((1ll<<mn)%mod)%mod)%mod;//当cur=0时,(cur-1)为负数,所以(cur-1)/m会上取整……所以直接特判
else
res=(res+(((cur+(1ll<<mx)-1)/m-(cur-1)/m)%mod+mod)%mod*((1ll<<mn)%mod)%mod)%mod;
}
return res;
}

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