Language: C++

#pragma GCC optimize ("O3")

#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <queue>
#include <set>
#include <algorithm>
#include <numeric>
#include <list>
using namespace std;

using QWORD  = uint64_t;
using SQWORD = int64_t;
using DWORD  = uint32_t;
using SDWORD = int32_t;
using WORD   = uint16_t;
using SWORD  = int16_t;
using BYTE   = uint8_t;
using SBYTE  = int8_t;
using DOUBLE = double;
using FLOAT  = float;

#define MIN_SDWORD (-2147483648)
#define MAX_SDWORD (2147483647)
#define MIN_SBYTE (-128)
#define MAX_SBYTE (127)

#define MIN_SQWORD (0x8000000000000000)
#define MAX_SQWORD (0x7FFFFFFFFFFFFFFF)

#define MAX_QWORD  (0xFFFFFFFFFFFFFFFF)
#define MAX_DWORD  (0xFFFFFFFF)
#define MAX_WORD   (0xFFFF)
#define MAX_BYTE   (0xFF)

#define MAX_DOUBLE      (1.0e+308)
#define DOUBLE_EPS      (1.0e-12)
#define MIN_DOUBLE_N    (-1.0e+308)

#define ArrayLength(a)  (sizeof(a) / sizeof(a[0]))

static inline DOUBLE MAX(DOUBLE a, DOUBLE b) { return a > b ? a : b; }
static inline QWORD MAX(QWORD a, QWORD b) { return a > b ? a : b; }
static inline DWORD MAX(DWORD a, DWORD b) { return a > b ? a : b; }
static inline SDWORD MAX(SDWORD a, SDWORD b) { return a > b ? a : b; }
static inline DOUBLE MIN(DOUBLE a, DOUBLE b) { return a < b ? a : b; }
static inline QWORD MIN(QWORD a, QWORD b) { return a < b ? a : b; }
static inline DWORD MIN(DWORD a, DWORD b) { return a < b ? a : b; }
static inline SDWORD MIN(SDWORD a, SDWORD b) { return a < b ? a : b; }

static inline bool DoubleIsZero(const DOUBLE &a)
{
    return abs(a) < DOUBLE_EPS;
}

#define BYTE_BITS   (8)
#define WORD_BITS   (16)
#define DWORD_BITS  (32)
#define QWORD_BITS  (64)

static inline void inputStringSpSeparated(char *pcStr)
{
    char *pcCur = pcStr;
    for (;;) {
        char c = getchar();
        if (('\n' == c) || (EOF == c) || (' ' == c)) {
            break;
        }
        *pcCur = c;
        pcCur++;
    }
    *pcCur = '\0';
}

static inline void inputString(char *pcStr)
{
    char *pcCur = pcStr;
    for (;;) {
        char c = getchar();
        if (('\n' == c) || (EOF == c)) {
            break;
        }
        *pcCur = c;
        pcCur++;
    }
    *pcCur = '\0';
}


static inline SQWORD inputSQWORD(void)
{
    SQWORD sqNumber = 0;
    SQWORD sqMultiplier = 1;
    bool bRead = false;
    for (;;) {
        char c = getchar();
        if (!bRead) {
            if ('-' == c) {
                sqMultiplier = -1;
            }
        }
        if (('0' <= c) && (c <= '9')) {
            sqNumber *= 10LL;
            sqNumber += (SQWORD)(c - '0');
            bRead = true;
        } else {
            if (bRead) {
                return sqNumber * sqMultiplier;
            }
        }
    }
}


static inline SDWORD inputSDWORD(void)
{
    SDWORD lNumber = 0;
    SDWORD lMultiplier = 1;
    bool bRead = false;
    for (;;) {
        char c = getchar();
        if (!bRead) {
            if ('-' == c) {
                lMultiplier = -1;
            }
        }
        if (('0' <= c) && (c <= '9')) {
            lNumber *= 10;
            lNumber += (c - '0');
            bRead = true;
        } else {
            if (bRead) {
                return lNumber * lMultiplier;
            }
        }
    }
}

static inline DOUBLE inputFP(void)
{
    DOUBLE dInt = 0.0;
    DOUBLE dFrac = 0.0;
    DOUBLE dMultiplier = 1.0;
    DWORD dwFpCnt = 0;
    DOUBLE *pdCur = &dInt;
    bool bRead = false;
    for (;;) {
        char c = getchar();
        if (!bRead) {
            if ('-' == c) {
                dMultiplier = -1;
            }
        }
        if ('.' == c) {
            pdCur = &dFrac;
        } else if (('0' <= c) && (c <= '9')) {
            (*pdCur) *= 10;
            (*pdCur) += (DOUBLE)(c - '0');
            bRead = true;
            if (pdCur == &dFrac) {
                dwFpCnt++;
            }
        } else {
            if (bRead) {
                return dMultiplier * (dInt + dFrac / (pow((DOUBLE)10.0 , (DOUBLE)dwFpCnt)));
            }
        }
    }
}


/**
 *  mod による操作ライブラリ
 */

#define ANS_MOD (1000000007LL)
 
static SQWORD addMod(SQWORD x, SQWORD y)
{ 
    return (x + y) % ANS_MOD;
}
 
static SQWORD subMod(SQWORD x, SQWORD y)
{
    return (x - y + ANS_MOD) % ANS_MOD;
}
 
static SQWORD mulMod(SQWORD x, SQWORD y) 
{
    return (x * y) % ANS_MOD;
}
 
static SQWORD powMod(SQWORD x, SQWORD e) {
    SQWORD v = 1;
    for (; e; x = mulMod(x, x), e >>= 1) {
        if (e & 1) {
            v = mulMod(v, x);
        }
    }
    return v;
}
 
static SQWORD divMod(SQWORD x, SQWORD y)
{
    return mulMod(x, powMod(y, ANS_MOD - 2));
}
 
 
static SQWORD combMod(SQWORD n, SQWORD k)
{
    SQWORD v=1;
    for(SQWORD i=1; i<=k; i++) {
        v = divMod(mulMod(v, n-i+1),i);
    } 
    return v;
}

/*----------------------------------------------*/
#define MAX_NODE    (100000)

static vector<SQWORD> s_avecGraph[MAX_NODE + 1];
static bool s_abIsVisited[MAX_NODE + 1];

static SQWORD dfs(SQWORD sqNodeNo, SQWORD sqK, SQWORD sqReservedColors1)
{
    s_abIsVisited[sqNodeNo] = true;
    SQWORD sqRet = sqK - sqReservedColors1;

    SQWORD sqReservedCol2 = MIN(sqReservedColors1, 1);

    for (auto next_node: s_avecGraph[sqNodeNo]) {
        if (!s_abIsVisited[next_node]) {
            sqReservedCol2++;
            SQWORD sqColors = dfs(next_node, sqK, sqReservedCol2);
            sqRet = mulMod(sqRet, sqColors);
        }
    }
    return sqRet;
}

int main(void)
{
    SQWORD sqInput_N = inputSQWORD();
    SQWORD sqInput_K = inputSQWORD();

    for (SQWORD sqNode = 1; sqNode < sqInput_N; sqNode++) {
        SQWORD sqInput_a = inputSQWORD();
        SQWORD sqInput_b = inputSQWORD();

        s_avecGraph[sqInput_a].emplace_back(sqInput_b);
        s_avecGraph[sqInput_b].emplace_back(sqInput_a);
    }

    SQWORD sqAns = dfs(1, sqInput_K, 0);
    printf("%lld\n", sqAns);

    return 0;
}

Compiler output:
a.cc:19:16: error: 'uint64_t' does not name a type
   19 | using QWORD  = uint64_t;
      |                ^~~~~~~~
a.cc:17:1: note: 'uint64_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
   16 | #include <list>
  +++ |+#include <cstdint>
   17 | using namespace std;
a.cc:21:16: error: 'uint32_t' does not name a type
   21 | using DWORD  = uint32_t;
      |                ^~~~~~~~
a.cc:21:16: note: 'uint32_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
a.cc:23:16: error: 'uint16_t' does not name a type
   23 | using WORD   = uint16_t;
      |                ^~~~~~~~
a.cc:23:16: note: 'uint16_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
a.cc:25:16: error: 'uint8_t' does not name a type
   25 | using BYTE   = uint8_t;
      |                ^~~~~~~
a.cc:25:16: note: 'uint8_t' is defined in header '<cstdint>'; this is probably fixable by adding '#include <cstdint>'
a.cc:50:15: error: 'QWORD' does not name a type; did you mean 'SWORD'?
   50 | static inline QWORD MAX(QWORD a, QWORD b) { return a > b ? a : b; }
      |               ^~~~~
      |               SWORD
a.cc:51:15: error: 'DWORD' does not name a type; did you mean 'SWORD'?
   51 | static inline DWORD MAX(DWORD a, DWORD b) { return a > b ? a : b; }
      |               ^~~~~
      |               SWORD
a.cc:54:15: error: 'QWORD' does not name a type; did you mean 'SWORD'?
   54 | static inline QWORD MIN(QWORD a, QWORD b) { return a < b ? a : b; }
      |               ^~~~~
      |               SWORD
a.cc:55:15: error: 'DWORD' does not name a type; did you mean 'SWORD'?
   55 | static inline DWORD MIN(DWORD a, DWORD b) { return a < b ? a : b; }
      |               ^~~~~
      |               SWORD
a.cc: In function 'DOUBLE inputFP()':
a.cc:151:5: error: 'DWORD' was not declared in this scope; did you mean 'SWORD'?
  151 |     DWORD dwFpCnt = 0;
      |     ^~~~~
      |     SWORD
a.cc:168:17: error: 'dwFpCnt' was not declared in this scope
  168 |                 dwFpCnt++;
      |                 ^~~~~~~
a.cc:172:82: error: 'dwFpCnt' was not declared in this scope
  172 |                 return dMultiplier * (dInt + dFrac / (pow((DOUBLE)10.0 , (DOUBLE)dwFpCnt)));
      |                                                                                  ^~~~~~~