BZOJ P1005:[HNOI2008]明明的烦恼
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脑残题目打了半天打不出来
这高精打的我要吐血(其实是ctrlC+V的)
我决定不A这题了
但是思路还是讲讲
这题还是肥肠显然的prufer数列的应用嘛
我的prufer数列一共有n-2个元素嘛(n为节点个数)
那么我已经确定的有sigma(dushu[i]-1)个嘛
那么一共的方案数就有C(n-2,sigma(dushu[i]-1))嘛
但是还有重复的情况嘛
那么就除掉tot!/(d(s)-1)嘛
然后还有剩下的一些空嘛
这些空可以被所有度数为-1的节点填上嘛
那么就是快速幂k^(n-2-tot)嘛
下面是我WA的代码
有兴趣的可以帮我找找错误
#include<iostream>#include<fstream>#include<algorithm>#include<cmath>#include<cstring>using namespace std;const int MAXN = 4100;int n;int d[10003];int k;int p[2][1003];void cal(int x,int k){ for(int i=2;;i++){ while(x%i==0){p[k][i]++,x/=i;} if(x==1){ break;} }}struct bign{ int len,s[MAXN]; bign (){ memset(s,0,sizeof(s)); len=1; } bign (int num) { *this = num; } bign (const char *num) { *this = num; } bign operator = (const int num){ char s[MAXN]; sprintf(s, "%d", num); *this = s; return *this; } bign operator = (const char *num){ for(int i = 0; num[i] == '0'; num++) ; //去前导0 len = strlen(num); for(int i = 0; i < len; i++) s[i] = num[len-i-1] - '0'; return *this; } bign operator + (const bign &b) const{ bign c; //+ c.len = 0; for(int i = 0, g = 0; g || i < max(len, b.len); i++){ int x = g; if(i < len) x += s[i]; if(i < b.len) x += b.s[i]; c.s[c.len++] = x % 10; g = x / 10; } return c; } bign operator += (const bign &b){ *this = *this + b; return *this; } void clean(){ while(len > 1 && !s[len-1]) len--; } bign operator * (const bign &b) { bign c; //* c.len = len + b.len; for(int i = 0; i < len; i++){ for(int j = 0; j < b.len; j++){ c.s[i+j] += s[i] * b.s[j]; } } for(int i = 0; i < c.len; i++){ c.s[i+1] += c.s[i]/10; c.s[i] %= 10; } c.clean(); return c; } bign operator *= (const bign &b){ *this = *this * b; return *this; } bign operator - (const bign &b){ bign c; c.len = 0; for(int i = 0, g = 0; i < len; i++){ int x = s[i] - g; if(i < b.len) x -= b.s[i]; if(x >= 0) g = 0; else{ g = 1; x += 10; } c.s[c.len++] = x; } c.clean(); return c; } bign operator -= (const bign &b){ *this = *this - b; return *this; } bign operator /(const bign &b){ bign c,f=0; for(int i=len-1;i >= 0; i--){ f = f*10; f.s[0] = s[i]; while(f >= b){ f -= b; c.s[i]++; } } c.len = len; c.clean(); return c; } bign operator /=(const bign &b){ *this=*this/b; return *this; } bign operator %(const bign &b){ bign r=*this/b; r=*this-r*b; return r; } bign operator %=(const bign &b){ *this=*this%b; return *this; } bool operator <(const bign &b){ if(len!=b.len) return len<b.len; for(int i=len-1;i>=0;i--){ if(s[i]!=b.s[i]) return s[i]<b.s[i]; } return false; } bool operator > (const bign &b){ if(len!=b.len) return len>b.len; for(int i=len-1;i>=0;i--){ if(s[i]!=b.s[i]) return s[i]>b.s[i]; } return false; } bool operator ==(const bign &b){ return !(*this>b)&&!(*this<b); } bool operator != (const bign &b){ return !(*this == b); } bool operator <= (const bign &b){ return *this < b || *this == b; } bool operator >= (const bign &b){ return *this > b || *this == b; } string str() const{ string res=""; for(int i=0; i < len; i++) res = char(s[i]+'0') + res; return res; } }ans;istream& operator >>(istream &in, bign &x){ string s; in>>s; x=s.c_str(); return in; }ostream& operator <<(ostream &out, const bign &x){ out<<x.str(); return out; }bign qpow(bign x,int y){if(y==1){return x;}else{bign fanhui=qpow(x,y/2);fanhui=fanhui*fanhui;if(y%2==1){fanhui*=x;}return fanhui;}}int main(){cin>>n;int tot=0;ans=1;for(int i=1;i<=n;i++){cin>>d[i];if(d[i]==-1){k++;continue;}tot+=(d[i]-1);}for(int i=2;i<=tot;i++){cal(i,0);cal(i,0);}for(int i=1;i<=n;i++){for(int j=2;j<d[i];j++){cal(i,1);}}bign x=k;for(int i=2;i<=n-2;i++){cal(i,1);}for(int i=2;i<=tot-n+2;i++){cal(i,1);}for(int i=2;i<=1000;i++){if(p[0][i]>p[1][i]){ans*=qpow(i,p[0][i]-p[1][i]);}if(p[1][i]>p[0][i]){ans/=qpow(i,p[1][i]-p[0][i]);}}ans*=qpow(x,n-2-tot);cout<<ans<<endl;return 0;}
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