题意
题目链接
sol
分块打表,非常好的思想。
对于这种求$[a, b]$区间内xxx的数的个数,然后$b$又不算是特别大的题,考虑分段打表
每个块的大小为$10^5$,打$3 * 10^3$个。然后块内的暴力查,块外的暴力算
![BZOJ3798: 特殊的质数(分段打表)](https://www.ctvol.com/wp-content/themes/justnews/themer/assets/images/lazy.png)
/* */ #include<cstdio> #include<cstdlib> #include<ctime> const int n = 3e8; int sqr[n], ans = 0, base = 1e5; void check(int x) { for(int i = 2; i * i <= x; i++) if(x % i == 0) return ; int j = 18000; for(int i = 1; sqr[i] < x; i++) { while(sqr[i] + sqr[j] > x) j--; if(sqr[i] + sqr[j] == x) {ans++; return ;} } } main() { freopen("biao.out", "w", stdout); for(int i = 1; i <= 18000; i++) sqr[i] = i * i; for(int i = 1; i <= n; i++) { check(i); if(i % base == 0) printf("%d,", ans); } return 0; } /* */ 打表程序
打表程序
/* */ #include<cstdio> #define rg register const int n = 3e8, maxn = 1e6; int sqr[maxn], ans = 0, base = 1e5; void check(int x) { for(rg int i = 2; i * i <= x; i++) if(x % i == 0) return ; int j = 18000; for(rg int i = 1; sqr[i] < x; i++) { while(sqr[i] + sqr[j] > x) j--; if(sqr[i] + sqr[j] == x) {ans++; return ;} } } int a, b; int biao[maxn] = 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int solve(int n) { ans = biao[n / base]; for(rg int i = n / base * base + 1; i <= n; i++) check(i); return ans; } main() { for(rg int i = 1; i <= 18000; i++) sqr[i] = i * i; scanf("%d %d", &a, &b); printf("%d", solve(b) - solve(a - 1)); return 0; } /* 66 266666666 */
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