Codeforces 17D Notepad Simple number theory

Source: Internet
Author: User

From test instructions, ANW = (b-1) *b^ (n-1)%c, emphasized, in order to b^ (n-1).

The weak slag can only push propaganda.

Phi (c) is less than C and the number of coprime with C.

When X >= Phi (c): A^x = A (X%phi (c) + phi (c)).

When X < Phi (c): Direct request is possible.

#include <algorithm> #include <iostream> #include <cstring> #include <cstdlib> #include < cstdio> #include <queue> #include <cmath> #include <stack> #include <map> #include <ctime > #include <iomanip> #pragma comment (linker, "/stack:1024000000"); #define EPS (1e-6) #define _LL Long long# Define ULL unsigned long long#define LL __int64#define INF 0x3f3f3f3f#define Mod 1000000007/** I/O Accelerator Interface. . **/#define G (C=getchar ()) #define D isdigit (g) #define P x=x*10+c-' 0 ' #define N x=x*10+ ' 0 '-c#define pp l/=10,p#define nn l/=    10,ntemplate<class t> inline t& RD (T &x) {char C;    while (!D);    x=c-' 0 ';    while (d) p; return x;}    Template<class t> inline t& RDD (T &x) {char C;    while (g,c!= '-' &&!isdigit (c));        if (c== '-') {x= ' 0 '-G;    while (d) n;        } else {x=c-' 0 ';    while (d) p; } return x;} Inline double& RF (double &x)//scanf ("%lf", &x); {    char c; while (g,c!= '-' &&c!= '.    &&!isdigit (c));        if (c== '-') if (g== '. ')            {x=0;            Double l=1;            while (d) nn;        X*=l;            } else {x= ' 0 '-C;            while (d) n;            if (c== '. ')                {Double l=1;                while (d) nn;            X*=l;    }} else if (c== '. ')        {x=0;        Double l=1;        while (d) pp;    X*=l;        } else {x=c-' 0 ';        while (d) p;        if (c== '. ')            {Double l=1;            while (d) pp;        X*=l; }} return x;} #undef nn#undef pp#undef n#undef p#undef d#undef gusing namespace Std;char s[1000010];int b[1000010],n[1000010]; LL C,b,n;bool vis[1000010]; LL Prime[1000010];int Top;    ll Euler (ll N) {ll ret=1,i;            for (i=2; i*i<=n; i++) {if (n%i==0) {n/=i,ret*=i-1;        while (n%i==0) n/=i,ret*=i; }} if (N> 1) ret*=n-1; return ret;}    ll Cal (int *n,ll c,bool &mark) {ll re = 0;        for (int i = 0; N[i]! =-1; ++i) {re *= 10,re + = N[i];    if (re >= c) Mark = True,re%= C; } return re;}    LL QM (ll a,ll b,ll N) {ll ret=1;    LL Tmp=a;        while (b) {if (b&1) ret=ret*tmp%n;        tmp=tmp*tmp%n;    b>>=1; } return ret;}    int main () {int i,j;    scanf ("%s", s);    for (i = 0; s[i]! = ' + '; ++i) b[i] = s[i]-' 0 ';    B[i] =-1;    scanf ("%s", s);    for (i = 0; s[i]! = ' + '; ++i) n[i] = s[i]-' 0 ';    N[i] =-1;    scanf ("%i64d", &c);    LL MAXN = sqrt (c);    memset (vis,false,sizeof (VIS));    Top = 0;                for (i = 2; I <= MAXN, ++i) if (vis[i] = False) for (j = i+i,prime[top++] = i; j <= Maxn; j + = i)    VIS[J] = true;    LL phi = Euler (c), B1;    BOOL Mark = false;    b = Cal (B,c,mark);    Mark = false;    n = Cal (N,phi,mark);    B1 = (b-1+c)%c; if (Mark = = True) n = (n-1+phi)%phi + phi;    else n--;    LL anw = B1*QM (b,n,c)%c;    if (anw = = 0) Anw = c;    printf ("%i64d\n", ANW); return 0;}

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Codeforces 17D Notepad Simple number theory

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