#include <bits/stdc++.h>

#define x first
#define y second
#define mp make_pair

using namespace std;
typedef pair<int,int> PII;
typedef long long ll;
const int N = 2e5 + 10;
const ll MOD = 998244353;

struct Query{
    int id;
    ll t;
    PII lim;
};

ll f[N], g[N], c[3 * N], ans[N];
int a[N], len[N], n;
PII st[N][20], p[N];

void init()
{
    for(int i = 2; i <= n; i++) len[i] = len[i >> 1] + 1;
    for(int i = 1; i <= n; i++) st[i][0] = mp(a[i], i);
    for(int j = 1; j <= len[n]; j++)
    {
        for(int i = 1; i + (1 << j) - 1 <= n; i++)
        {
            st[i][j] = max(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]);
        }
    }
}

bool cmpx(PII a, PII b)
{
    return a.x < b.x;
}

bool cmpy(PII a, PII b)
{
    return a.y < b.y;
}

bool cmpxq(Query a, Query b)
{
    return a.lim.x < b.lim.x;
}

bool cmpxq2(Query a, Query b)
{
    return a.lim.x > b.lim.x;
}

void add(int x, ll y)
{
    x += n;
    for(; x <= n + n + n; x += x & -x) c[x] = (c[x] + y + MOD) % MOD;
}

ll ask(int x)
{
    x += n;
    ll res = 0;
    for(; x; x -= x & -x) res = (res + c[x] + MOD) % MOD;
    return res;
}

PII querymx(int l, int r)
{
    int t = len[r - l + 1];
    return max(st[l][t], st[r - (1 << t) + 1][t]);
}

void solve1(int l, int r, ll f[N])
{
    if(l == r)
    {
        if(a[l] == 1)
        {
            f[l] = (f[l - 1] + f[l]) % MOD;
        }
        return;
    }
    int mid = l + r >> 1;
    solve1(l, mid, f);
    for(int i = l; i <= mid; i++)
    {
        p[i] = mp(i, querymx(i, mid).x + i - 1);
    }
    for(int i = mid + 1; i <= r; i++)
    {
        p[i] = mp(i, i - querymx(mid + 1, i).x + 1);
    }
    sort(p + l, p + mid + 1, cmpy), sort(p + mid + 1, p + r + 1, cmpx);
    int i, j;
    for(i = l, j = mid + 1; i <= mid && j <= r; )
    {
        if(p[i].y <= p[j].x)
        {
            add(p[i].x, f[p[i].x - 1]);
            i++;
        }
        else
        {
            f[p[j].x] = (f[p[j].x] + ask(p[j].y)) % MOD;
            j++;
        }
    }
    while(j <= r)
    {
        f[p[j].x] = (f[p[j].x] + ask(p[j].y)) % MOD;
        j++;
    }
    while(i > l)
    {
        i--;
        add(p[i].x, -f[p[i].x - 1]);
    }
    solve1(mid + 1, r, f);
}

void solve2(int l, int r)
{
    if(l == r)
    {
        if(a[l] > 1) ans[l] = (ans[l] + g[l + 1] * f[l - 1] % MOD) % MOD;
        return;
    }

    vector <Query> ql, qr;
    int mid = l + r >> 1;
    for(int i = l; i <= mid; i++)
    {
        p[i] = mp(i, querymx(i, mid).x + i - 1);
    }
    for(int i = mid + 1; i <= r; i++)
    {
        p[i] = mp(i, i - querymx(mid + 1, i).x + 1);
    }
    for(int i = l; i <= mid; i++)
    {
        int pos = querymx(i, mid).y;
        int nowmx = 1; if(i < pos) nowmx = max(nowmx, querymx(i, pos - 1).x); if(pos < mid) nowmx = max(nowmx, querymx(pos + 1, mid).x);
        qr.push_back(Query({pos, -f[i - 1], mp(p[i].y, p[i].x)}));
        qr.push_back(Query({pos, f[i - 1], mp(nowmx + i - 1, i)}));
    }
    for(int i = mid + 1; i <= r; i++)
    {
        int pos = querymx(mid + 1, i).y;
        int nowmx = 1; if(mid + 1 < pos) nowmx = max(nowmx, querymx(mid + 1, pos - 1).x); if(pos < i) nowmx = max(nowmx, querymx(pos + 1, i).x);
        ql.push_back(Query({pos, -g[i + 1], mp(p[i].y, p[i].x)}));
        ql.push_back(Query({pos, g[i + 1], mp(i - nowmx + 1, i)}));
    }
    sort(ql.begin(), ql.end(), cmpxq), sort(qr.begin(), qr.end(), cmpxq2);
    int i = l;
    for(auto& q : ql)
    {
        while(i <= mid && i <= q.lim.x)
        {
            add(p[i].y, f[i - 1]);
            i++;
        }
        ans[q.id] = (ans[q.id] + (ll)q.t * ask(q.lim.y) % MOD + MOD) % MOD;
    }
    while(i > l)
    {
        i--;
        add(p[i].y, -f[i - 1]);
    }
    i = r;
    for(auto& q : qr)
    {
        while(i >= q.lim.x && i > mid)
        {
            add(p[i].y, g[i + 1]);
            i--;
        }
        ans[q.id] = (ans[q.id] + (ll)q.t * (ask(n) - ask(q.lim.y - 1) + MOD) % MOD + MOD) % MOD;
    }
    while(i < r)
    {
        i++;
        add(p[i].y, -g[i + 1]);
    }
    solve2(l, mid), solve2(mid + 1, r);
}

int main()
{
    //freopen("data.in", "r", stdin);
    f[0] = g[0] = 1;
    scanf("%d", &n);
    for(int i = 1; i <= n; i++) scanf("%d", &a[i]);
    reverse(a + 1, a + n + 1);
    init();
    solve1(1, n, g); for(int i = 0; i < n + 1 - i; i++) swap(g[i], g[n + 1 - i]);
    reverse(a + 1, a + n + 1);
    init();
    solve1(1, n, f);
    solve2(1, n);
    for(int i = 1; i <= n; i++) printf("%lld ", (ans[i] + f[n]) % MOD);
    return 0;
}