#########################################################
"""

##　和＆積（MOD無し）　#######################################

def mul2(a,b): return a*b

def add2(a,b): return a+b

def mul_inv2(a): return 1/a

def add_inv2(a): return -a

def identity(n): return Matrix([[int(i==j) for i in range(n)] for j in range(n)])

###########################################################

##　和＆積（MOD有り）　#######################################
MOD=10**9+7

def mul2(a,b): return a*b%MOD

def add2(a,b): return (a+b)%MOD

def mul_inv2(a): return pow(a,MOD-2,MOD)

def add_inv2(a): return -a%MOD

def identity(n): return Matrix([[int(i==j) for i in range(n)] for j in range(n)])

###########################################################

##　論理和＆論理積　#######################################

def mul2(a,b): return a&b

def add2(a,b): return a^b

def mul_inv2(a): return None

def add_inv2(a): return a

mask=(1<<101)-1
def identity(n): return Matrix([[int(i==j)*mask for i in range(n)] for j in range(n)])

###########################################################


"""

#########################################################

class Matrix():
    def __init__(self,A):
        self.H=len(A)
        self.W=len(A[0])
        self._matrix=A
        # for i in range(self.row):
        #     for j in range(self.column):

    def __getitem__(self,item):
        if type(item)==tuple:
            i,j=item
            return self._matrix[i][j]
        else:
            return self._matrix[item]

    def __setitem__(self,item,val):
        i,j=item
        self._matrix[i][j]=val

    def __add__(self,B):
        # assert (self.row,self.column)==(other.row,other.column), "sizes of matrices are different"
        H,W,A=self.H,self.W,self._matrix
        AB=[[0]*W for _ in range(H)]
        for h in range(H):
            for w in range(W):
                AB[h][w]=add2(A[h][w],B._matrix[h][w])
        return Matrix(AB)

    def __mul__(self,other):
        H,W,A=self.H,self.W,self._matrix
        if type(other)==int:
            n=other
            AB=[[(mul2(n,A[i][j])) for j in range(W)] for i in range(H)]
            return Matrix(AB)
        elif type(other)==Vector:
            vec=other
            res=[0]*W
            for i in range(H):
                for j in range(W):
                    res[i]=add2(res[i],mul2(A[i][j],vec[j]))
            return Vector(res)
        else:
            # assert self.column!=other.row, "sizes of matrices are different"
            AB=[[0]*other.W for _ in range(H)]
            for i in range(H):
                for j in range(other.W):
                    temp=0
                    for k in range(W):
                        temp=add2(temp,mul2(A[i][k],other._matrix[k][j]))
                    AB[i][j]=temp
            return Matrix(AB)

    def __truediv__(self,c):
        H,W,A=self.H,self.W,self._matrix
        res=A.copy()
        for h in range(H):
            for w in range(W):
                res[h][w]=mul2(res[h][w],mul_inv2(c))
        return Matrix(res)

    def __floordiv__(self,c):
        H,W,A=self.H,self.W,self._matrix
        res=A.copy()
        for h in range(H):
            for w in range(W):
                res[h][w]=res[h][w]//c
        return Matrix(res)

    def __mod__(self,c):
        H,W,A=self.H,self.W,self._matrix
        res=A.copy()
        for h in range(H):
            for w in range(W):
                res[h][w]=res[h][w]%c
        return Matrix(res)

    def __pow__(self,m):
        # assert self.column==self.row, "the size of row must be the same as that of column"
        H,W,A=self.H,self.W,self._matrix
        if m==0:
            return identity(H)
        else:
            m-=1
            res=self
            while m:
                if m%2==1:
                    res=res*self
                self=self*self
                m>>=1
            return res

    def __eq__(self,other):
        if type(other)==Matrix:
            return self._matrix==other._matrix
        return False

    def __ne__(self,other):
        if type(other)==Matrix:
            return self._matrix!=other._matrix
        return True

    def __len__(self):
        return self.H

    def __str__(self):
        res=[]
        for i in range(self.H):
            for j in range(self.W):
                res.append(str(self._matrix[i][j]))
                res.append(" ")
            res.append("\n")
        return "".join(res)

    def __hash__(self):
        res=[]
        for h in range(self.H):
            for w in range(self.W):
                res.append(self._matrix[h][w])
        return tuple(res)

    def det(self):
        H,W,A=self.H,self.W,self._matrix
        n=H
        res=1
        for i in range(n):
            if A[i][i]==0:
                res=add_inv2(res)
                for k in range(i+1,n):
                    if A[k][i]!=0:
                        A[i],A[k]=A[k],A[i]
                        break
                else:
                    return 0
            c=mul_inv2(A[i][i])
            for j in range(i+1,n):
                l=mul2(c,A[j][i])
                for k in range(i+1,n):
                    A[j][k]=add2(A[j][k],add_inv2(l*A[i][k]))
        for i in range(n):
            res=mul2(res,A[i][i])
        return res

    def map(self,func):  # act func to all elements
        H,W,A=self.H,self.W,self._matrix
        res=A.copy()
        for h in range(H):
            for w in range(W):
                res[h][w]=func(res[h][w])
        return Matrix(res)

    def count(self,x):
        cnt=0
        for h in range(self.H):
            for w in range(self.W):
                cnt+=(self._matrix[h][w]==x)
        return cnt

    def rank(self):
        """ = dimension"""
        H,W,A=self.H,self.W,self._matrix
        A=[self._matrix[i][:] for i in range(H)]
        rank=0
        p,q=[],[]
        for w in range(W):
            for h in range(rank,H):
                if A[h][w]!=0:
                    break
            else:
                q.append(w)
                continue
            if w==W: return -1,[],[]
            p.append(w)
            A[rank],A[h]=A[h],A[rank]
            inv=mul_inv2(A[rank][w])
            for ww in range(W):
                A[rank][ww]=mul2(A[rank][ww],inv)
            for h in range(H):
                if h==rank: continue
                c=add_inv2(A[h][w])
                for ww in range(W):
                    A[h][ww]=add2(A[h][ww],mul2(c,A[rank][ww]))
            rank+=1
        return rank

class Vector():
    def __init__(self,vec):
        self.n=len(vec)
        self._vector=vec

    def __getitem__(self,item):
        return self._vector[item]

    def __setitem__(self,item,val):
        self._vector[item]=val

    def __neg__(self):
        n,vec=self.n,self._vector
        res=[]
        for x in vec:
            res.append(add_inv2(x))
        return Vector(res)

    def __add__(self,vec2):
        n,vec=self.n,self._vector
        res=vec.copy()
        for i in range(n):
            res[i]=add2(res[i],vec2[i])
        return Vector(res)

    def __sub__(self,vec2):
        n,vec=self.n,self._vector
        res=vec.copy()
        for i in range(n):
            res[i]=add2(res[i],add_inv2(vec2[i]))
        return Vector(res)

    def __mul__(self,vec2):
        n,vec=self.n,self._vector
        if type(vec2)!=int:
            res=vec.copy()
            for i in range(n):
                res[i]=mul2(res[i],vec2[i])
            return Vector(res)
        else:
            res=[mul2(vec2,vec[i]) for i in range(n)]
            return Vector(res)

    def __truediv__(self,c):
        n,vec=self.n,self._vector
        res=vec.copy()
        for i in range(n):
            res[i]=mul2(res[i],mul_inv2(c))
        return Vector(res)

    def __floordiv__(self,c):
        n,vec=self.n,self._vector
        res=vec.copy()
        for i in range(n):
            res[i]=res[i]//c
        return Vector(res)

    def __mod__(self,c):
        n,vec=self.n,self._vector
        res=vec.copy()
        for i in range(n):
            res[i]=res[i]%c
        return Vector(res)

    def map(self,func):  # act func to all elements
        n,vec=self.n,self._vector
        res=vec.copy()
        for i in range(n):
            res[i]=func(res[i])
        return Vector(res)

    def __eq__(self,other):
        if type(other)==Vector:
            return self._vector==other._vector
        return False

    def __ne__(self,other):
        if type(other)==Vector:
            return self._vector!=other._vector
        return True

    def __len__(self):
        return self.n

    def __str__(self):
        res=[]
        for i in range(self.n):
            res.append(str(self._vector[i]))
            res.append(" ")
        return "".join(res)

    def __hash__(self):
        return tuple(self._vector)

    def count(self,x):
        cnt=0
        for a in self._vector:
            cnt+=(a==x)
        return cnt

def linear_equations(mat, vec):
    """
    return
        (dim, [x,y,z], [[a0,b0,c0],[a1,b1,c1],...])

    which means,

        solution = (x,y,z)+t0*(a0,b0,c0)+t1*(a1,b1,c1)+...

    Cation: float
    """
    H, W = len(mat), len(mat[0])
    # assert H == len(vec)
    aug = [mat[i] + [vec[i]] for i in range(H)]
    rank = 0
    p,q = [],[]
    for w in range(W + 1):
        for h in range(rank, H):
            if aug[h][w] != 0:
                break
        else:
            q.append(w)
            continue
        if w == W: return -1, [], []
        p.append(w)
        aug[rank], aug[h] = aug[h], aug[rank]
        inv = mul_inv2(aug[rank][w])
        for ww in range(W + 1):
            aug[rank][ww] = mul2(aug[rank][ww], inv)
        for h in range(H):
            if h == rank: continue
            c = add_inv2(aug[h][w])
            for ww in range(W + 1):
                aug[h][ww] = add2(aug[h][ww], mul2(c,aug[rank][ww]))
        rank += 1
    dim = W - rank
    sol = [0] * W
    for h in range(rank):
        sol[p[h]] = aug[h][-1]
    vecs = [[0] * W for _ in range(dim)]
    for h in range(dim):
        vecs[h][q[h]] = 1
    for h in range(dim):
        for w in range(rank):
            vecs[h][p[w]] = add_inv2(aug[w][q[h]])
    return dim, sol, vecs


###########################################################
def example():
    global input
    example = iter(
        """
2 3
1 2 3
4 5 6
50 122
        """
            .strip().split("\n"))
    input = lambda: next(example)

##　和＆積（MOD有り）　#######################################
MOD=10**9+7

def mul2(a,b): return a*b%MOD

def add2(a,b): return (a+b)%MOD

def mul_inv2(a): return pow(a,MOD-2,MOD)

def add_inv2(a): return -a%MOD

def identity(n): return Matrix([[int(i==j) for i in range(n)] for j in range(n)])

###########################################################

import sys
input = sys.stdin.readline


N,M,K=map(int, input().split())


_mat=[[0]*(N+1) for _ in range(N)]
for _ in range(M):
    l,r=map(int, input().split())
    l,r=l-1,r-1
    for i in range(l,r+1):
        _mat[i][l]+=1
        _mat[i][r+1]-=1

mat=[]

for i in range(N):
    tmp=[0]
    for a in _mat[i]:
        tmp.append(tmp[-1]+a)
    mat.append(tmp[1:-1])

mat=Matrix(mat)

v=Vector([0]*(N-1)+[1])

res=(mat**K)*v

print(res[0]%MOD)