Go: // ダイクストラのアルゴリズム
package main

import (
	"bufio"
	"fmt"
	"log"
	"math"
	"os"
	"strconv"
	"strings"
)

type color int

const (
	white color = iota // 未訪問
	mst                // MSTとして確定
)

// 頂点
type node struct {
	num       int         // 頂点の番号
	weights   map[int]int // 重みMAP
	parent    *node       // MSTへの重み最小の親
	distFromS int         // 始点からの距離
	color     color
}

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	n := eGetInt(scanner)

	nodes := make([]*node, n)
	for i := 0; i < n; i++ {
		weights := eAtoi((strings.Fields(eGetline(scanner))))
		v := &node{weights[0], make(map[int]int, weights[1]), nil, math.MaxInt32, white}
		for j := 0; j < weights[1]; j++ {
			k := weights[j*2+2] // 相手の頂点名
			w := weights[j*2+3] // 重み
			v.weights[k] = w
		}
		nodes[i] = v
	}

	// 初回はnode[0]がMSTに入るように
	nodes[0].distFromS = 0

	for { // 全部チェックするまで

		// どの頂点を新たにMSTに取り込むか

		var minNode *node
		min := math.MaxInt32
		for _, v := range nodes {
			if v.color == mst {
				continue
			}
			if v.distFromS < min {
				min = v.distFromS
				minNode = v
			}
		}
		if minNode == nil {
			// すべて完了している.
			break
		}

		// MSTに追加する頂点決定
		minNode.color = mst

		// fmt.Printf(">[%v]\n", minNode)
		// MSTに属していない頂点それぞれについて,Startからの最小の重みの距離を更新
		for i, v := range nodes {
			if v.color == mst {
				continue
			}
			w, ok := minNode.weights[i]
			if !ok {
				// minNodeと接してない
				continue
			}

			if minNode.distFromS+w < v.distFromS {
				// minNode経由の距離がもっとも重みが少ないので親を変更
				v.distFromS = minNode.distFromS + w
				v.parent = minNode
				// fmt.Printf("[%v %v]\n", v, minNode)
			}
		}
		// fmt.Printf("<\n")
	}

	for i, v := range nodes {
		fmt.Printf("%d %d\n", i, v.distFromS)
	}
}

func eGetInt(scanner *bufio.Scanner) int {
	t := eAtoi(strings.Fields(eGetline(scanner)))
	return t[0]
}

func eGetline(p *bufio.Scanner) string {
	if !p.Scan() {
		if err := p.Err(); err != nil {
			log.Fatal(err.Error())
		}
		return ""
	}
	return p.Text()
}

func eAtoi(s []string) []int {
	ints := make([]int, len(s))
	var err error
	for i, e := range s {
		ints[i], err = strconv.Atoi(e)
		if err != nil {
			log.Fatal(err.Error())
		}
	}
	return ints
}

C++: #include <iostream>
#include <vector>
#include <array>
#include <algorithm>
#include <limits>
#include <cmath>
#include <numeric>
#include <string>
#include <queue>
#include <cstdio>
#include <unordered_map>
#include <map>

using namespace std;

using ll = long long int;
using ull = unsigned long long int;
#define rep(i, a, b) for(int i = (a); i < (b); ++i )
#define rrep(i, a, b) for(int i = (a); i > (b); --i )
#define REP(i, a, b) for(int i = (a); i <= (b); ++i )
#define RREP(i, a, b) for(int i = (a); i >= (b); --i )
#define llrep(i, a, b) for(ll i = (a); i < (b); ++i )
#define llrrep(i, a, b) for(ll i = (a); i > (b); --i )
#define llREP(i, a, b) for(ll i = (a); i <= (b); ++i )
#define llRREP(i, a, b) for(ll i = (a); i >= (b); --i )
#define ullrep(i, a, b) for(ull i = (a); i < (b); ++i )
#define ullrrep(i, a, b) for(ull i = (a); i > (b); --i )
#define ullREP(i, a, b) for(ull i = (a); i <= (b); ++i )
#define ullRREP(i, a, b) for(ull i = (a); i >= (b); --i )

template<typename T=int>
class UnionFind {
 public:
  explicit UnionFind(unsigned long long n) : rank_(n, 0), p_(n, 0) {
    for (T i = 0; i < n; i++) {
      MakeSet(i);
    }
  }

  void MakeSet(T x) {
    p_[x] = x;
    rank_[x] = 0;
  }

  bool Same(T x, T y) {
    return FindSet(x) == FindSet(y);
  }

  void Link(T x, T y) {
    if (rank_[x] > rank_[y]) {
      p_[y] = x;
    } else {
      p_[x] = y;
      if (rank_[x] == rank_[y]) {
        rank_[y]++;
      }
    }
  }

  void Unite(T x, T y) {
    Link(FindSet(x), FindSet(y));
  }

  T FindSet(T x) {
    if (x != p_[x]) {
      p_[x] = FindSet(p_[x]);
    }
    return p_[x];
  }

 private:
  std::vector<T> rank_, p_;
};

template<typename NumT = ull, typename CostT = ull>
class Dijkstra {
 public:
  Dijkstra(unsigned long long num, CostT max_cost) :
      num_(num),
      max_cost_(max_cost),
      v_(num, std::vector<CostT>(num, max_cost)),
      c_(num, 0),
      d_(num, max_cost),
      p_(num, 0) {
  };

  void ComputeWithQ(NumT start) {
    d_[start] = 0;
    p_[start] = start;
    priority_queue<std::pair<CostT, NumT>> pq;
    pq.push(make_pair(0, start));
    while (!pq.empty()) {
      auto node = pq.top();
      pq.pop();
      auto ni = node.second;
      auto c = -node.first;
      c_[ni] = 1;
      if (d_[ni] < c) {
        continue;
      }
      d_[ni] = c;

      for (int i = 0; i < num_; i++) {
        if (v_[ni][i] == max_cost_) {
          continue;
        }
        if ((c_[i] != 1) && (d_[i] > (v_[ni][i] + d_[ni]))) {
          p_[i] = ni;
          d_[i] = v_[ni][i] + d_[ni];
          pq.push(make_pair(-d_[i], i));
        }
      }
    }
  }

  void Compute(int start) {
    d_[start] = 0;
    p_[start] = start;
    while (true) {
      int m = -1;
      int min_d = std::numeric_limits<int>::max();
      for (int i = 0; i < num_; i++) {
        if ((c_[i] == 0) && (min_d > d_[i])) {
          min_d = d_[i];
          m = i;
        }
      }
      if (m < 0) {
        break;
      }
      c_[m] = 1;
      for (int i = 0; i < num_; i++) {
        if ((c_[i] == 0) && (d_[i] > (d_[m] + v_[m][i]))) {
          d_[i] = d_[m] + v_[m][i];
          p_[i] = m;
        }
      }
    }
  }

  void Set(NumT s, NumT d, CostT c) {
    v_[s][d] = c;
  }

  CostT Distance(NumT d) {
    return d_[d];
  }

 public:
  NumT num_;
  CostT max_cost_;
  std::vector<std::vector<CostT>> v_;
  std::vector<int> c_;
  std::vector<int> d_;
  std::vector<NumT> p_;
};

int nibutan(int *ary, int ok, int ng) {
  bool is_valid;
  while (std::abs(ok - ng) > 1) {
    int mid = (ok + ng) / 2;
    // is_valid = check(mid);
    if (is_valid) {
      ok = mid;
    } else {
      ng = mid;
    }
  }
  return ok;
}

template<typename NumT = int, typename CostT = unsigned long long>
class DijkstraQ {
 public:
  DijkstraQ(unsigned long long num, CostT max_cost) :
      adj_(num, std::vector<std::pair<NumT, CostT>>()),
      c_(num, 0), d_(num, max_cost) {}

  void Compute(NumT start) {
    std::priority_queue<std::pair<CostT, NumT>> q;
    d_[start] = 0;
    q.push(std::make_pair(0, start));

    while (!q.empty()) {
      std::pair<CostT, NumT> node = q.top();
      q.pop();
      auto n = node.second;
      auto c = -node.first;
      c_[n] = 1;
      if (c > d_[n]) {
        continue;
      }
      d_[n] = c;

      for (NumT i = 0; i < adj_[n].size(); i++) {
        auto nn = adj_[n][i].first;
        auto nc = adj_[n][i].second;
        if (c_[nn] > 0) {
          continue;
        }
        if (d_[nn] > (c + nc)) {
          d_[nn] = c + nc;
          q.push(std::make_pair(-d_[nn], nn));
        }
      }
    }
  }

  void Set(NumT s, NumT d, CostT c) {
    adj_[s].push_back(std::make_pair(d, c));
  }

  CostT Distance(NumT d) {
    return d_[d];
  }

  std::vector<CostT> d_;
  std::vector<int> c_;
  std::vector<std::vector<std::pair<NumT, CostT>>> adj_;
};

// x >= y
template<typename T>
inline T gcd(T x, T y) { return y ? gcd(y, x % y) : x; }

template<typename T>
inline T lcm(T x, T y) { return (x / gcd(x, y)) * y; }

// return gcd(a, b)
// x, y satisfy ax + by = gcd(a, b)
ll xgcd(ll a, ll b, ll &x, ll &y) {
  if (b == 0) {
    x = 1;
    y = 0;
    return a;
  }
  ll d = xgcd(b, a % b, y, x);
  y -= a / b * x;
  return d;
}

bool check(int *A, int i) {
  return A[i] < 39;
}

int N;
int A[110][110];
int C[110];
int D[110];

int main() {
  int N;
  cin >> N;
  rep(i, 0, N){
    D[i] = numeric_limits<int>::max()/2;
    rep(j, 0, N) {
      A[i][j] = numeric_limits<int>::max()/2;
    }
  }

  rep(i, 0, N) {
    int k, n;
    cin >> k >> n;
    rep(i, 0, n) {
      int x, y;
      cin >> x >> y;
      A[k][x] = y;
    }
  }

  D[0] = 0;
  priority_queue<pair<int, int>> q;
  q.push(make_pair(0, 0));

  while(!q.empty()) {
    auto t = q.top();
    q.pop();
    int c = -t.first;
    int ix = t.second;
    if (D[ix] < c) {
      continue;
    }

    C[ix] = 1;

    rep(i, 0, N) {
      if (C[i] > 0) {
        continue;
      }
      if (D[i] > D[ix] + A[ix][i]) {
        D[i] = D[ix] + A[ix][i];
        q.push(make_pair(-D[i], i));
      }
    }
  }
  rep(i, 0, N) {
    cout << i << " " << D[i] << endl;
  }
}