#include <bits/stdc++.h>
namespace std {
template <typename...>
using void_t = void;
}
template <typename T, typename _ = void>
struct is_container : std::false_type {};
template <typename... Ts>
struct is_container_helper {};
template <typename T>
struct is_container<
    T, typename std::conditional<
           false,
           is_container_helper<decltype(std::declval<T>().size()),
                               decltype(std::declval<T>().begin()),
                               decltype(std::declval<T>().end()),
                               decltype(std::declval<T>().cbegin()),
                               decltype(std::declval<T>().cend())>,
           void>::type> : public std::true_type {};
class IO {
  static const int bufSize = 1 << 20;
  char inBuf[bufSize], outBuf[bufSize];
  char *ip1 = inBuf, *ip2 = inBuf;
  int goodReadBit = 1, op1 = -1, op2 = bufSize - 1;
  __inline__ __attribute__((always_inline)) int gc() {
    return ip1 == ip2 && (ip2 = (ip1 = inBuf) + fread(inBuf, 1, bufSize, stdin),
                          ip1 == ip2)
               ? (goodReadBit = 0, EOF)
               : *ip1++;
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) void __RI(T &x) {
    int ch = gc(), neg = 1;
    x = 0;
    for (; !(isdigit(ch) || ch == '-' || ch == EOF); ch = gc()) {
    }
    if (ch == EOF) return;
    if (ch == '-') neg = -1, ch = gc();
    for (; isdigit(ch); ch = gc()) x = x * 10 + (ch - 48) * neg;
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) void __RC(T &x) {
    int ch;
    while (isspace(ch = gc())) {
    }
    if (ch == EOF) return;
    x = ch;
  }
  __inline__ __attribute__((always_inline)) void __RS(std::string &x) {
    char ch;
    x.clear();
    for (ch = gc(); isspace(ch); ch = gc()) {
    }
    if (ch == EOF) return;
    for (; !isspace(ch) && ch != EOF; ch = gc()) x.push_back(ch);
  }

 public:
  __inline__ __attribute__((always_inline)) IO &R(char &x) {
    return __RC(x), (*this);
  }
  __inline__ __attribute__((always_inline)) IO &R(unsigned char &x) {
    return __RC(x), (*this);
  }
  __inline__ __attribute__((always_inline)) IO &R(std::string &x) {
    return __RS(x), (*this);
  }
  template <typename T1, typename T2>
  __inline__ __attribute__((always_inline)) IO &R(std::pair<T1, T2> &x) {
    return R(x.first), R(x.second), (*this);
  }
  template <typename T, typename... Args>
  __inline__ __attribute__((always_inline)) IO &RA(T *a, int n) {
    for (int i = 0; i < n; ++i) R(a[i]);
    return (*this);
  }
  template <typename T, typename... Args>
  __inline__ __attribute__((always_inline)) IO &R(T &x, Args &...args) {
    return R(x), R(args...), (*this);
  }
  template <typename T, typename... Args>
  __inline__ __attribute__((always_inline)) IO &RA(T *a, int n, Args... args) {
    for (int i = 0; i < n; ++i) RA(a[i], args...);
    return (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline))
  typename std::enable_if<std::is_integral<T>::value, IO>::type &
  R(T &x) {
    return __RI(x), (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline))
  typename std::enable_if<is_container<T>::value, IO>::type &
  R(T &x) {
    for (auto &i : x) R(i);
    return (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) typename std::enable_if<
      std::is_void<std::void_t<decltype(std::declval<T>().read())>>::value,
      IO>::type &
  R(T &x) {
    return x.read(), (*this);
  }

 private:
  char space = ' ';
  __inline__ __attribute__((always_inline)) void pc(const char &x) {
    if (op1 == op2) flush();
    outBuf[++op1] = x;
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) void __WI(T x) {
    static char buf[sizeof(T) * 16 / 5];
    static int len = -1;
    if (x >= 0) {
      do {
        buf[++len] = x % 10 + 48, x /= 10;
      } while (x);
    } else {
      pc('-');
      do {
        buf[++len] = -(x % 10) + 48, x /= 10;
      } while (x);
    }
    while (len >= 0) {
      pc(buf[len]), --len;
    }
  }

 public:
  __inline__ __attribute__((always_inline)) void flush() {
    fwrite(outBuf, 1, op1 + 1, stdout), op1 = -1;
  }
  __inline__ __attribute__((always_inline)) IO &W(const char &x) {
    return pc(x), (*this);
  }
  __inline__ __attribute__((always_inline)) IO &W(const char *x) {
    while (*x != '\0') pc(*(x++));
    return (*this);
  }
  __inline__ __attribute__((always_inline)) IO &W(const std::string &x) {
    return W(x.c_str()), (*this);
  }
  template <typename T1, typename T2>
  __inline__ __attribute__((always_inline)) IO &W(const std::pair<T1, T2> &x) {
    WS(x.first);
    W(x.second);
    return (*this);
  }
  __inline__ __attribute__((always_inline)) IO &WL() {
    return W('\n'), (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) IO &WL(const T &x) {
    return W(x), W('\n'), (*this);
  }
  __inline__ __attribute__((always_inline)) IO &WS() {
    return W(space), (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) IO &WS(const T &x) {
    return W(x), W(space), (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) IO &WA(T *a, int n) {
    for (int i = 0; i < n; i++) WS(a[i]);
    WL();
    return (*this);
  }
  template <typename T, typename... Args>
  __inline__ __attribute__((always_inline)) IO &W(const T &x,
                                                  const Args &...args) {
    W(x), W(space), W(args...);
    return (*this);
  }
  template <typename T, typename... Args>
  __inline__ __attribute__((always_inline)) IO &WS(const T &x,
                                                   const Args &...args) {
    return W(x), W(space), W(args...), W(space), (*this);
  }
  template <typename... Args>
  __inline__ __attribute__((always_inline)) IO &WL(const Args &...args) {
    return W(args...), W('\n'), (*this);
  }
  template <typename T, typename... Args>
  __inline__ __attribute__((always_inline)) IO &WA(T *a, int n, Args... args) {
    for (int i = 0; i < n; i++) WA(a[i], args...);
    return (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline))
  typename std::enable_if<std::is_integral<T>::value, IO>::type &
  W(const T &x) {
    return __WI(x), (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline))
  typename std::enable_if<is_container<T>::value, IO>::type &
  W(const T &x) {
    for (auto &i : x) WS(i);
    WL();
    return (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) typename std::enable_if<
      std::is_void<std::void_t<decltype(std::declval<T>().write())>>::value,
      IO>::type &
  W(const T &x) {
    return x.write(), (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) IO &operator>>(T &x) {
    R(x);
    return (*this);
  }
  template <typename T>
  __inline__ __attribute__((always_inline)) IO &operator<<(const T &x) {
    W(x);
    return (*this);
  }
  int good() { return goodReadBit; }
  IO() {}
  ~IO() { flush(); }
} io;
const std::int32_t INF = 0x3f3f3f3f;
const std::int64_t INFL = 0x3f3f3f3f3f3f3f3f;
using namespace std;
namespace Math {
template <typename T, typename T2>
T qpow(T a, T2 b, const int &MOD) {
  T ans = 1;
  for (; b; b >>= 1) {
    if (b & 1) ans = (a * ans) % MOD;
    a = (a * a) % MOD;
  }
  return ans;
}
template <typename T>
T exgcd(T l, T r, T &x, T &y) {
  if (!r) {
    x = 1, y = 0;
    return l;
  } else {
    int d = exgcd(r, l % r, y, x);
    y -= l / r * x;
    return d;
  }
}
template <typename T>
T inv(T a, const int &MOD) {
  return qpow(a, MOD - 2, MOD);
}
template <typename T>
T exinv(T a, const int &MOD) {
  T x, y;
  exgcd(a, MOD, x, y);
  x %= MOD;
  return x + ((x >> (sizeof(T) * 8 - 1)) & MOD);
}
template <typename T, T MOD>
struct ModInt {
  T x;
  ModInt(T x = 0) : x(x) {
    while (x < 0) x += MOD;
  }
  ModInt<T, MOD> operator+=(const ModInt<T, MOD> &y) {
    x += y.x - MOD;
    x += (x >> (sizeof(T) * 8 - 1)) & MOD;
    return (*this);
  }
  ModInt<T, MOD> operator-=(const ModInt<T, MOD> &y) {
    x = x - y.x;
    x += (x >> (sizeof(T) * 8 - 1)) & MOD;
    return (*this);
  }
  ModInt<T, MOD> operator*=(const ModInt<T, MOD> &y) {
    x = x * y.x % MOD;
    return (*this);
  }
  ModInt<T, MOD> operator/=(const ModInt<T, MOD> &y) {
    x = x * inv(y.x, MOD) % MOD;
    return (*this);
  }
  ModInt<T, MOD> pow(int64_t p) { return x = qpow(x, p, MOD), *this; }
  void write() const { io.W(x); }
  void read() {
    io.R(x);
    x %= MOD;
    if (x < 0) x += MOD;
  }
};
template <typename T, T MOD>
ModInt<T, MOD> operator+(ModInt<T, MOD> a, const ModInt<T, MOD> &b) {
  a += b;
  return a;
}
template <typename T, T MOD>
ModInt<T, MOD> operator-(ModInt<T, MOD> a, const ModInt<T, MOD> &b) {
  a -= b;
  return a;
}
template <typename T, T MOD>
ModInt<T, MOD> operator*(ModInt<T, MOD> a, const ModInt<T, MOD> &b) {
  a *= b;
  return a;
}
template <typename T, T MOD>
ModInt<T, MOD> operator/(ModInt<T, MOD> a, const ModInt<T, MOD> &b) {
  a /= b;
  return a;
}
template <typename T, T MOD>
bool operator==(const ModInt<T, MOD> &a, const ModInt<T, MOD> &b) {
  return a.x == b.x;
}
}  // namespace Math
using mint = Math::ModInt<int64_t, int(1e9 + 7)>;
int main() {
  int n, q;
  io.R(n, q);
  vector<mint> a(n);
  io.R(a);
  a.insert(a.begin(), mint(0));
  vector<mint> preSum(n + 1), preSquareSum(n + 1);
  partial_sum(a.begin(), a.end(), preSum.begin());
  partial_sum(a.begin(), a.end(), preSquareSum.begin(),
              [](mint a, mint b) { return a + b * b; });
  mint inv2 = mint(1) / mint(2);
  mint inv6 = mint(1) / mint(6);
  while (q--) {
    int l, r, d;
    io.R(l, r, d);
    mint len = r - l + 1;
    mint x = ((preSum[r] - preSum[l - 1]) * mint(2) / len -
              (len - mint(1)) * mint(d)) *
             inv2;
    mint y = x * x * len + x * (len - mint(1)) * len * mint(d) +
             len * (mint(2) * len * len - mint(3) * len + mint(1)) * mint(d) *
                 mint(d) * inv6;
    mint z = (preSquareSum[r] - preSquareSum[l - 1]);
    io.WL(y == z ? "Yes" : "No");
  }
  return 0;
}
