hdu
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One day, a useless calculator was being built by Kuros. Let's assume that number X is showed on the screen of calculator. At first, X = 1. This calculator only supports two types of operation.
1. multiply X with a number.
2. divide X with a number which was multiplied before.
After each operation, please output the number X modulo M.
1. multiply X with a number.
2. divide X with a number which was multiplied before.
After each operation, please output the number X modulo M.
For each test case, the first line are two integers Q and M. Q is the number of operations and M is described above. ($1 \leq Q \leq 10^5, 1 \leq M \leq 10^9$)
The next Q lines, each line starts with an integer x indicating the type of operation.
if x is 1, an integer y is given, indicating the number to multiply. ($0 < y \leq 10^9$)
if x is 2, an integer n is given. The calculator will divide the number which is multiplied in the nth operation. (the nth operation must be a type 1 operation.)
It's guaranteed that in type 2 operation, there won't be two same n.
Then Q lines follow, each line please output an answer showed by the calculator.
110 10000000001 22 11 21 102 32 41 61 71 122 7
Case #1:2122010164250484
题意是每组测试给出Q,M,Q是查询数,每组查询给出op,n,有x初始值为1,若op=1则x乘上n,若op=2则x除以第n个查询中乘的数(这里对应的一定是op=1的n),每组查询输出X%M,
可用线段树,单点更新,区间查询,区间存放的是区间内元素的积
#include<iostream>#include<string>#include<cstdio>#include<algorithm>#include<cmath>#include<iomanip>#include<queue>#include<cstring>#include<map>using namespace std;typedef long long ll;#define M 100005#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1ll q,mod;ll tree[M<<2];void pushup(ll rt){ tree[rt]=(tree[rt<<1]*tree[rt<<1|1])%mod;}void build(ll l,ll r,ll rt){ if(l==r) { tree[rt]=1; return; } ll m=(l+r)>>1; build(lson); build(rson); tree[rt]=1;}void update(ll p,ll v,ll l,ll r,ll rt){ if(l==r) { tree[rt]=v; return; } ll m=(l+r)>>1; if(p<=m) update(p,v,lson); else update(p,v,rson); pushup(rt);}int main(){ int T,cas=0; ll op,n,i,v,p; scanf("%d",&T); while(T--) { scanf("%lld%lld",&q,&mod); build(1,q,1); //memset(tree,1,sizeof(tree)); //longlong不能用memset? printf("Case #%d:\n",++cas); for(i=1;i<=q;i++) { scanf("%lld%lld",&op,&n); if(op==1) { p=i; v=n; }else { p=n; v=1; } update(p,v,1,q,1); printf("%lld\n",tree[1]); } } return 0;}
还可以直接模拟,注意因为题目中不断对x取余所以进行除法时已经我发得到正确的值,所以遇到除法从头开始乘就行。
代码:
#include<iostream>#include<string>#include<cstdio>#include<algorithm>#include<cmath>#include<iomanip>#include<queue>#include<cstring>#include<map>using namespace std;typedef long long ll;#define M 100005ll q,m;ll number[M];bool vis[M];int main(){ int T,cas=0; ll op,n,i,j; scanf("%d",&T); while(T--) { scanf("%lld%lld",&q,&m); printf("Case #%d:\n",++cas); ll x=1; memset(vis,0,sizeof(vis)); for(i=1;i<=q;i++) { scanf("%lld%lld",&op,&n); number[i]=n; if(op==1) { vis[i]=true; x=(x*n)%m; //计算%是很费时的,即如果这里换为x=(x%m*n%m)%m,会处在超时边缘 }else { x=1; for(j=1;j<i;j++) { if(j==n) vis[j]=false; else { if(vis[j]==true) x=(x*number[j])%m; } } } printf("%lld\n",x); } } return 0;}
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