#include <stdio.h>
#include <string.h>
#include <assert.h>

#include <set>
#include <queue>
#include <algorithm>
#include <numeric>

#define LOG(FMT...) fprintf(stderr, FMT)

#define eb emplace_back
#define em emplace

using namespace std;

typedef long long LL;
constexpr int N = 400005;
constexpr LL INFLL = 0x3f3f3f3f3f3f3f3fll;

int n, m;
int a[N], b[N];

struct Dat {
	int x, y; LL d;
	Dat() {}
	Dat(int _x, int _y, LL _d) : x(_x), y(_y), d(_d) {}
	bool operator < (const Dat &t) const {
		return d > t.d;
	}
};
priority_queue<Dat> q;

struct Subway {
	vector<int> sites, we, ord;
	vector<LL> dis;
	vector<bool> was;
	int size() const {
		return (int)sites.size();
	}
	void prework() {
		int cnt;
		scanf("%d", &cnt);
		// sites, we
		sites.resize(cnt);
		we.resize(cnt - 1);
		for (int i = 0; i < cnt; ++i) {
			scanf("%d", &sites[i]);
			sites[i] -= 1;
			if (i < cnt - 1) {
				scanf("%d", &we[i]);
			}
		}
		// dis
		dis.resize(cnt);
		fill(dis.begin(), dis.end(), INFLL);
		// ord
		ord.resize(cnt);
		iota(ord.begin(), ord.end(), 0);
		sort(ord.begin(), ord.end(), [&](int x, int y) {
			return sites[x] < sites[y];
		});
		// was
		was.resize(cnt);
		fill(was.begin(), was.end(), false);
		
		/* for (int x : sites) {
			LOG("%d ", x);
		}
		LOG("\n"); */
	}
	int rk(int site) const {
		int l = 0, r = size(), md;
		while (l < r) {
			md = l + r >> 1;
			if (sites[ord[md]] >= site) {
				r = md;
			} else {
				l = md + 1;
			}
		}
		assert(sites[ord[r]] == site);
		return ord[r];
	}
	int operator[] (int k) const {
		assert(0 <= k && k < (int) sites.size());
		return sites[k];
	}
	bool chk(int site) const {
		return was[rk(site)];
	}
} subw[N];

vector<int> ordA[N];

struct Li {
	LL y; int k;
	Li() {}
	Li(LL _y, int _k) : y(_y), k(_k) {}
	LL val(int x) const {
		return y + k * (LL)x;
	}
};

void updSite(vector<Li> &v, int k, LL y) {
	if (v.size() && k >= v.back().k) {
		return;
	}
	while (v.size() && y <= v.back().y && k <= v.back().k) {
		assert(y == v.back().y);
		v.pop_back();
	}
	v.eb(y, k);
}

vector<Li> vs[N];

void getSubw(int i, int &k, LL &d) {
	vector<int> &t = ordA[i];
	while (t.size() && subw[t.back()].chk(i)) {
		t.pop_back();
	}
	if (t.empty()) {
		k = -1;
		d = -1ll;
		return;
	}
	const vector<Li> &v = vs[i];
	assert((int)v.size() > 0);
	// LOG("?? %ld\n", v.size());
	k = t.back();
	int x = a[k];
	int l = 0, r = (int)v.size() - 1, md;
	while (l < r) {
		md = l + r >> 1;
		if (v[md].val(x) > v[md + 1].val(x)) {
			l = md + 1;
		} else {
			r = md;
		}
	}
	d = v[r].val(x);
}

LL dis[N];

void updQ(int x, int y, LL d) {
	// LOG("upd: %d, %d, %lld\n", x, y, d);
	if (subw[x].dis[y] <= d) {
		return;
	}
	subw[x].dis[y] = d;
	q.em(x, y, d);
	int site = subw[x][y];
	if (d < dis[site]) {
		dis[site] = d;
	}
}

void transi(int site, int k, LL d) {
	updSite(vs[site], b[k], d);
	getSubw(site, k, d);
	if (k == -1) {
		return;
	}
	updQ(k, subw[k].rk(site), d);
}

int main() {
	scanf("%d%d", &n, &m);
	for (int i = 0; i < m; ++i) {
		scanf("%d", a + i);
	}
	for (int i = 0; i < m; ++i) {
		scanf("%d", b + i);
	}
	memset(dis, 0x3f, n << 3);
	dis[0] = 0ll;
	for (int i = 0; i < m; ++i) {
		subw[i].prework();
		for (int j = 0; j < subw[i].size(); ++j) {
			int site = subw[i][j];
			// LOG("%d %d %lld\n", i, j, dis[site]);
			q.em(i, j, dis[site]);
			subw[i].dis[j] = dis[site];
			ordA[site].eb(i);
		}
	}
	for (int i = 0; i < n; ++i) {
		vector<int> &t = ordA[i];
		sort(t.begin(), t.end(), [&](int x, int y) {
			return a[x] > a[y];
		});
	}
	while (q.size()) {
		auto [x, y, d] = q.top();
		// LOG("O: %d %d %d %lld\n", x, y, subw[x][y], d);
		q.pop();
		if (d != subw[x].dis[y]) {
			continue;
		}
		subw[x].was[y] = true;
		int site = subw[x][y];
		transi(site, x, d);
		if (y + 1 < subw[x].size()) {
			updQ(x, y + 1, d + subw[x].we[y]);
		}
	}
	for (int x = 1; x < n; ++x) {
		printf("%lld ", dis[x]);
	}
	puts("");
	return 0;
}