# 行列の乗算(mod)
def mat_mul(a, b):
    I, K, J = len(a), len(b), len(b[0])
    c = [[0 for j in range(J)] for i in range(I)]
    for i in range(I):
        for k in range(K):
            for j in range(J):
                c[i][j] += a[i][k] * b[k][j]
                c[i][j] %= mod
    return c

# 行列の累乗(mod)
def mat_pow(a, n):
    b = [[0 for j in range(len(a))] for i in range(len(a))]
    for i in range(len(a)):
        b[i][i] = 1
    while n > 0:
        if n & 1:
            b = mat_mul(b, a)
        a = mat_mul(a, a)
        n >>= 1
    return b

def segfunc(x,y):
    return x+y
class LazySegTree_RAQ:
    def __init__(self,init_val,segfunc,ide_ele):
        n = len(init_val)
        self.segfunc = segfunc
        self.ide_ele = ide_ele
        self.num = 1<<(n-1).bit_length()
        self.tree = [ide_ele]*2*self.num
        self.lazy = [0]*2*self.num
        for i in range(n):
            self.tree[self.num+i] = init_val[i]
        for i in range(self.num-1,0,-1):
            self.tree[i] = self.segfunc(self.tree[2*i], self.tree[2*i+1])
    def gindex(self,l,r):
        l += self.num
        r += self.num
        lm = l>>(l&-l).bit_length()
        rm = r>>(r&-r).bit_length()
        while r>l:
            if l<=lm:
                yield l
            if r<=rm:
                yield r
            r >>= 1
            l >>= 1
        while l:
            yield l
            l >>= 1
    def propagates(self,*ids):
        for i in reversed(ids):
            v = self.lazy[i]
            if v==0:
                continue
            self.lazy[i] = 0
            self.lazy[2*i] += v
            self.lazy[2*i+1] += v
            self.tree[2*i] += v
            self.tree[2*i+1] += v
    def add(self,l,r,x):
        ids = self.gindex(l,r)
        l += self.num
        r += self.num
        while l<r:
            if l&1:
                self.lazy[l] += x
                self.tree[l] += x
                l += 1
            if r&1:
                self.lazy[r-1] += x
                self.tree[r-1] += x
            r >>= 1
            l >>= 1
        for i in ids:
            self.tree[i] = self.segfunc(self.tree[2*i], self.tree[2*i+1]) + self.lazy[i]
    def query(self,l,r):
        self.propagates(*self.gindex(l,r))
        res = self.ide_ele
        l += self.num
        r += self.num
        while l<r:
            if l&1:
                res = self.segfunc(res,self.tree[l])
                l += 1
            if r&1:
                res = self.segfunc(res,self.tree[r-1])
            l >>= 1
            r >>= 1
        return res

mod = 10**9+7
n,m,k = map(int,input().split())

st = [[0]*n for i in range(n)]

lr = [[int(i) for i in input().split()] for j in range(m)]

for i in range(1,n+1):
    #使用例
    segT = LazySegTree_RAQ([0]*(n+1),segfunc,0)
    for j in range(m):
        l,r = lr[j]
        if l <= i <= r:
            segT.add(l,r+1,1)
    for j in range(1,n+1):
        st[i-1][j-1] = segT.query(j,j+1)
#print(st)
A = mat_pow(st,k)

print(A[0][n-1]%mod)