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#include <bits/stdc++.h>

using namespace std;

typedef unsigned uint;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ldbl;
typedef pair<int, int> pii;
typedef pair<uint, uint> puu;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pull;
typedef pair<double, double> pdd;
typedef vector<int> vi;
typedef vector<uint> vu;
typedef vector<ll> vll;
typedef vector<ull> vull;
typedef vector<pii> vpii;
typedef vector<puu> vpuu;
typedef vector<pll> vpll;
typedef vector<pull> vpull;
typedef vector<string> vstr;
typedef vector<double> vdbl;
typedef vector<ldbl> vldbl;
#define pb push_back
#define ppb pop_back
#define pfr push_front
#define ppfr pop_front
#define emp emplace
#define empb emplace_back
#define be begin
#define rbe rbegin
#define all(x) (x).be(), (x).end()
#define rall(x) (x).rbe(), (x).rend()
#define fir first
#define sec second
#define mkp make_pair
#define brif(cond) if (cond) break
#define ctif(cond) if (cond) continue
#define retif(cond) if (cond) return
void canhazfast() {ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);}
template<typename T> T gcd(T a, T b) {return b ? gcd(b, a%b) : a;}
template<typename T> T extgcd(T a, T b, T &x, T &y)
{
    T x0 = 1, y0 = 0, x1 = 0, y1 = 1;
    while (b) {
        T q = a/b; a %= b; swap(a, b);
        x0 -= q*x1; swap(x0, x1);
        y0 -= q*y1; swap(y0, y1);
    }
    x = x0; y = y0; return a;
}
int ctz(uint x) {return __builtin_ctz(x);}
int ctzll(ull x) {return __builtin_ctzll(x);}
int clz(uint x) {return __builtin_clz(x);}
int clzll(ull x) {return __builtin_clzll(x);}
int popcnt(uint x) {return __builtin_popcount(x);}
int popcntll(ull x) {return __builtin_popcountll(x);}
int bsr(uint x) {return 31^clz(x);}
int bsrll(ull x) {return 63^clzll(x);}

#define MOD 1000000007

uint add(uint a, uint b) { return a+b < MOD ? a+b : a+b-MOD; }
uint sub(uint a, uint b) { return a < b ? a+MOD-b : a-b; }
uint mul(uint a, uint b) { return (ull)a*b%MOD; }
uint sqr(uint a) { return mul(a, a); }

uint modpow(uint b, uint e)
{
    uint r = 1;
    for (; e; e >>= 1) {
        if (e&1) r = mul(r, b);
        b = sqr(b);
    }
    return r;
}

uint modpowll(uint b, ull e)
{
    uint r = 1;
    for (; e; e >>= 1) {
        if (e&1) r = mul(r, b);
        b = sqr(b);
    }
    return r;
}

uint modinv(uint n) { return modpow(n, MOD-2); }
uint moddiv(uint n, uint d) { return mul(n, modinv(d)); }

void uadd(uint &a, uint b) { a = add(a, b); }
void usub(uint &a, uint b) { a = sub(a, b); }
void umul(uint &a, uint b) { a = mul(a, b); }

#define MX 608

struct A {
    void read();
    int len, cl, cp;
    uint tot;
    char s[MX];
    int nxtl[MX], nxtp[MX];
    uint prel[MX], prep[MX];
    uint sufl[MX], sufp[MX];
};

A a[MX];
uint dp[MX][MX];

void clear_dp(int m)
{
    for (int i = 0; i <= m; ++i) fill_n(dp[i], m+1, 0);
}

void A::read()
{
    ull sum = 0;
    cin >> s;
    len = strlen(s);
    int il = len, ip = len;
    for (int i = len-1; i >= 0; --i) {
        if (s[i] == 'L') {
            il = i;
            ++cl;
        } else {
            ip = i;
            ++cp;
        }
        nxtl[i] = il;
        nxtp[i] = ip;
    }
    /// pref:
    clear_dp(len);
    dp[0][0] = 1;
    for (int i = 0; i < len; ++i) {
        int bmx = min(i, cl);
        if (nxtl[i] < len) {
            int dst = nxtl[i]+1;
            for (int b = 0; b <= bmx; ++b) uadd(dp[dst][b+1], dp[i][b]);
        } else {
            for (int b = 0; b <= bmx; ++b) uadd(prel[b], dp[i][b]);
        }
        if (nxtp[i] < len) {
            int dst = nxtp[i]+1;
            for (int b = 1; b <= bmx; ++b) uadd(dp[dst][b-1], dp[i][b]);
        } else {
            for (int b = 0; b <= bmx; ++b) uadd(prep[b], dp[i][b]);
        }
        sum += dp[i+1][0]; /// nonempty
    }
    tot = sum%MOD;
    for (int b = 0; b <= len; ++b) {
        uadd(prel[b], dp[len][b]);
        uadd(prep[b], dp[len][b]);
    }
    /// suff:
    clear_dp(len);
    dp[len][0] = 1;
    for (int i = len-1; i > 0; --i) {
        int bmx = min(len-i, cp);
        if (nxtl[i] < len) {
            int src = nxtl[i]+1;
            for (int b = 0; b <= bmx; ++b) uadd(dp[i][b], dp[src][b+1]);
        }
        if (nxtp[i] < len) {
            int src = nxtp[i]+1;
            for (int b = 1; b <= bmx; ++b) uadd(dp[i][b], dp[src][b-1]);
        }
        uadd(dp[i][0], 1);
    }
    if (nxtl[0] < len) {
        ///for (int b = 0; b < len; ++b) sufl[b] = dp[nxtl[0]+1][b+1];
        if (nxtl[0] < len) copy_n(dp[nxtl[0]+1]+1, cp, sufl);
    }
    if (nxtp[0] < len) {
        ///for (int b = 1; b <= len; ++b) sufp[b] = dp[nxtp[0]+1][b-1];
        if (nxtp[0] < len) copy_n(dp[nxtp[0]+1], cp, sufp+1);
    }
}

uint f(const A &pre, const A &suf)
{
    ull res = pre.tot;
    for (int i = 0; i <= min(pre.cl, suf.cp); ++i) {
        res += mul(pre.prel[i], suf.sufl[i]);
        res += mul(pre.prep[i], suf.sufp[i]);
    }
    return res%MOD;
}

int main()
{
    canhazfast();

    int n;

    cin >> n;
    for (int i = 0; i < n; ++i) a[i].read();
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < n; ++j) cout << f(a[i], a[j]) << ' ';
        cout << '\n';
    }

    return 0;
}