package main import ( "bufio" "fmt" "os" "sort" "strconv" ) var sc = bufio.NewScanner(os.Stdin) var wr = bufio.NewWriter(os.Stdout) func out(x ...interface{}) { fmt.Fprintln(wr, x...) } func getI() int { sc.Scan() i, e := strconv.Atoi(sc.Text()) if e != nil { panic(e) } return i } func getF() float64 { sc.Scan() i, e := strconv.ParseFloat(sc.Text(), 64) if e != nil { panic(e) } return i } func getInts(N int) []int { ret := make([]int, N) for i := 0; i < N; i++ { ret[i] = getI() } return ret } func getS() string { sc.Scan() return sc.Text() } // min, max, asub, absなど基本関数 func max(a, b int) int { if a > b { return a } return b } func min(a, b int) int { if a < b { return a } return b } func asub(a, b int) int { if a > b { return a - b } return b - a } func abs(a int) int { if a >= 0 { return a } return -a } func lowerBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] >= x }) return idx } func upperBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] > x }) return idx } const mod = int(1e9 + 7) func main() { defer wr.Flush() sc.Split(bufio.ScanWords) sc.Buffer([]byte{}, 1000000) // this template is new version. // use getI(), getS(), getInts(), getF() N, M, K := getI(), getI(), getI() l := make([]int, M) r := make([]int, M) for i := 0; i < M; i++ { l[i], r[i] = getI()-1, getI() } // f[i][j] <- i階からj階につながるエレベータの数 f := make([][]int, N) for i := 0; i < N; i++ { f[i] = make([]int, N) } for i := 0; i < N; i++ { t := make([]int, N+1) for j := 0; j < M; j++ { if l[j] <= i && i < r[j] { t[l[j]]++ t[r[j]]-- } } for j := 1; j <= N; j++ { t[j] += t[j-1] } for j := 0; j < N; j++ { f[i][j] = t[j] } } // for i := 0; i < N; i++ { // out(i+1, f[i]) // } dp := make([][]int, K+1) for i := 0; i < K+1; i++ { dp[i] = make([]int, N) } dp[0][0] = 1 for k := 1; k <= K; k++ { for i := 0; i < N; i++ { for j := 0; j < N; j++ { dp[k][i] += dp[k-1][j] * f[i][j] % mod dp[k][i] %= mod } } } // out(dp, K) out(dp[K][N-1]) }