#include<bits/stdc++.h>
#define IL inline
#define reg register
#define N 155
IL int read()
{
    reg int x=0,f=0; reg char ch=getchar();
    while(ch<'0'||ch>'9')f|=ch=='-',ch=getchar();
    while(ch>='0'&&ch<='9')x=x*10+ch-'0',ch=getchar();
    return f?-x:x;
}

int mod;

IL int Add(reg int x,reg int y){return x+y<mod?x+y:x+y-mod;}
IL void Pls(reg int &x,reg int y){x=Add(x,y);}
IL int Mul(reg int x,reg int y){reg long long r=1ll*x*y; return r<mod?r:r%mod;}

int n,m,f[N][N],g[N][N],c[N][N],nf[N][N];

IL int C(reg int n,reg int m)
{
    if(n==m)return 1;
    if(n<m||m<0)return 0;
    return c[n][m];
}

main()
{
    n=read(),m=read(),mod=read();
    if(m>n)puts("0"),exit(0);
    for(reg int i=0;i<=n;++i)c[i][0]=1;
    for(reg int i=1,j;i<=n;++i)for(j=1;j<=i;++j)
        c[i][j]=Add(c[i-1][j],c[i-1][j-1]);
    // for(reg int i=0,j;i<=n;++i)for(j=0;j<=i;++j)
    //     printf("%d%c",c[i][j]," \n"[j==i]);
    f[1][0]=1;
    for(reg int x=1,i,j,k,w;x<=m;++x)
    {
        // printf(">> %d\n",x);
        for(i=1;i<=n;++i)for(j=0;i+j<=n;++j)if(w=f[i][j])
        {
            // printf("f[%d][%d] = %d\n",i,j,w);
            // if(x==3&&!j)continue;
            // if(x==2)printf("[%d, %d, %d, val1 = %d]\n",i,j,w,Mul(Mul(w,i+j),i+j+1));
            for(k=1;k<=j;++k)Pls(g[i+k][j-k],Mul(w,C(j,k)));
            Pls(nf[i+1][j],Mul(Mul(w,i+j),i+j+1));
            Pls(nf[i+1][j+1],Mul(Mul(w,i+j-1),Mul(i+j+1,i+j+2)));
            for(k=1;i+j+k<=n;++k)
                w=Mul(w,i+j+k),Pls(nf[i+k][j],Mul(w,C(k+i+j-2,i+j-2)));
        }
        for(i=1;i<=n;++i)for(j=0;i+j<=n;++j)if(w=g[i][j])for(k=0;i+j+k<=n;++k)
            Pls(nf[i+k][j],Mul(w,C(k+i+j-2,i+j-2))),w=Mul(w,i+j+k+1);
        for(i=1;i<=n;++i)for(j=0;i+j<=n;++j)
            f[i][j]=nf[i][j],nf[i][j]=g[i][j]=0;
    }
    printf("%d\n",f[n][0]);
}