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| #include<bits/stdc++.h> #define ll long long #define ull unsigned long long #define maxn 50005 #define put() putchar('\n') #define Tp template<typename T> #define Ts template<typename T,typename... Ar> using namespace std; Tp void read(T &x){ int f=1;x=0;char c=getchar(); while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();} while (c>='0'&&c<='9') {x=x*10+c-'0';c=getchar();} x*=f; } namespace Debug{ Tp void _debug(char* f,T t){cerr<<f<<'='<<t<<endl;} Ts void _debug(char* f,T x,Ar... y){while(*f!=',') cerr<<*f++;cerr<<'='<<x<<",";_debug(f+1,y...);} #define gdb(...) _debug((char*)#__VA_ARGS__,__VA_ARGS__) }using namespace Debug; #define fi first #define se second #define mk make_pair const int mod=1e9; int power(int x,int y=mod-2) { int sum=1; while (y) { if (y&1) sum=sum*x%mod; x=x*x%mod;y>>=1; } return sum; } int a[maxn],len,c[maxn],n; void rd(void) { int i;string s; cin>>s;len=s.size(); for (i=0;i<len;i++) a[i]=s[i]-'0'; reverse(a,a+len); } int Mod4() { int i,res=0,t; for (i=len-1;i>=0;i--) t=res,res=(res*10+a[i])%4,a[i]=(a[i]+t*10)/4; while (len&&a[len-1]==0) len--; return res; } struct node { int x,y; node(int a=0,int b=0) {x=a;y=b;} node operator +(const node &tmp) const { if (x==tmp.x) return node(x,(y+tmp.y)%mod); else if (x<tmp.x) return node(x,y); else return tmp; } }f[maxn],g[maxn]; signed main(void){ int i; rd(); while (len) c[++n]=Mod4(); reverse(c+1,c+1+n); f[0]=node(0,1); g[0]=node(1,1); for (i=1;i<=n;i++) { f[i]=node(f[i-1].x+c[i],f[i-1].y)+node(g[i-1].x+4-c[i],g[i-1].y); g[i]=node(f[i-1].x+c[i]+1,f[i-1].y)+node(g[i-1].x+3-c[i],g[i-1].y); } node ans=f[n]; printf("%d",ans.y); return 0; }
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