#include <bits/stdc++.h>
#pragma GCC optimize("O3")
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;
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 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)));
      }
    }
  }
}
class MODINT {
  static SQWORD MOD;
  SQWORD m_x;

 public:
  MODINT(SQWORD val) { m_x = (val % MOD + MOD) % MOD; };
  MODINT() { m_x = 0; }
  static void Init(SQWORD sqMod) { MOD = sqMod; }
  MODINT& operator+=(const MODINT a) {
    m_x = (m_x + a.m_x) % MOD;
    return *this;
  };
  MODINT& operator-=(const MODINT a) {
    m_x = (m_x - a.m_x + MOD) % MOD;
    return *this;
  };
  MODINT& operator*=(const MODINT a) {
    m_x = (m_x * a.m_x) % MOD;
    return *this;
  };
  MODINT pow(SQWORD t) const {
    if (!t) return 1;
    MODINT a = pow(t >> 1);
    a *= a;
    if (t & 1) a *= *this;
    return a;
  }
  MODINT operator+(const MODINT a) const {
    MODINT res(*this);
    return (res += a);
  }
  MODINT operator-(const MODINT a) const {
    MODINT res(*this);
    return (res -= a);
  }
  MODINT operator*(const MODINT a) const {
    MODINT res(*this);
    return (res *= a);
  }
  MODINT operator/(const MODINT a) const {
    MODINT res(*this);
    return (res /= a);
  }
  MODINT inv() const { return pow(MOD - 2); }
  MODINT& operator/=(const MODINT a) { return (*this) *= a.inv(); }
  MODINT& operator+=(const SQWORD a) {
    *this += MODINT(a);
    return *this;
  };
  MODINT& operator-=(const SQWORD a) {
    *this -= MODINT(a);
    return *this;
  };
  MODINT& operator*=(const SQWORD a) {
    *this *= MODINT(a);
    return *this;
  };
  MODINT& operator/=(const SQWORD a) {
    *this /= MODINT(a);
    return *this;
  };
  SQWORD getVal() { return m_x; };
};
SQWORD MODINT::MOD = (1000000007);
int main(void) {
  SDWORD lN = inputSQWORD();
  SDWORD lM = inputSDWORD();
  unordered_map<SDWORD, SDWORD> mapMods;
  SDWORD lMod = 0;
  mapMods[0]++;
  for (SDWORD lIdx = 0; lIdx < lN; lIdx++) {
    SDWORD lA = inputSDWORD();
    lMod += lA;
    if (lM <= lMod) {
      lMod -= lM;
    }
    mapMods[lMod]++;
  }
  SQWORD sqAns = 0;
  for (auto m : mapMods) {
    sqAns += ((SQWORD)m.second * (SQWORD)(m.second - 1)) / 2;
  }
  printf("%lld\n", sqAns);
  return 0;
}
