
"""simple docstring"""

import datasets

from .evaluate import (
    apply_no_ans_threshold,
    find_all_best_thresh,
    get_raw_scores,
    make_eval_dict,
    make_qid_to_has_ans,
    merge_eval,
)


SCREAMING_SNAKE_CASE_         =  '''\
@inproceedings{Rajpurkar2016SQuAD10,
  title={SQuAD: 100, 000+ Questions for Machine Comprehension of Text},
  author={Pranav Rajpurkar and Jian Zhang and Konstantin Lopyrev and Percy Liang},
  booktitle={EMNLP},
  year={2016}
}
'''

SCREAMING_SNAKE_CASE_         =  '''
This metric wrap the official scoring script for version 2 of the Stanford Question
Answering Dataset (SQuAD).

Stanford Question Answering Dataset (SQuAD) is a reading comprehension dataset, consisting of questions posed by
crowdworkers on a set of Wikipedia articles, where the answer to every question is a segment of text, or span,
from the corresponding reading passage, or the question might be unanswerable.

SQuAD2.0 combines the 100,000 questions in SQuAD1.1 with over 50,000 unanswerable questions
written adversarially by crowdworkers to look similar to answerable ones.
To do well on SQuAD2.0, systems must not only answer questions when possible, but also
determine when no answer is supported by the paragraph and abstain from answering.
'''

SCREAMING_SNAKE_CASE_         =  '''
Computes SQuAD v2 scores (F1 and EM).
Args:
    predictions: List of triple for question-answers to score with the following elements:
        - the question-answer \'id\' field as given in the references (see below)
        - the text of the answer
        - the probability that the question has no answer
    references: List of question-answers dictionaries with the following key-values:
            - \'id\': id of the question-answer pair (see above),
            - \'answers\': a list of Dict {\'text\': text of the answer as a string}
    no_answer_threshold: float
        Probability threshold to decide that a question has no answer.
Returns:
    \'exact\': Exact match (the normalized answer exactly match the gold answer)
    \'f1\': The F-score of predicted tokens versus the gold answer
    \'total\': Number of score considered
    \'HasAns_exact\': Exact match (the normalized answer exactly match the gold answer)
    \'HasAns_f1\': The F-score of predicted tokens versus the gold answer
    \'HasAns_total\': Number of score considered
    \'NoAns_exact\': Exact match (the normalized answer exactly match the gold answer)
    \'NoAns_f1\': The F-score of predicted tokens versus the gold answer
    \'NoAns_total\': Number of score considered
    \'best_exact\': Best exact match (with varying threshold)
    \'best_exact_thresh\': No-answer probability threshold associated to the best exact match
    \'best_f1\': Best F1 (with varying threshold)
    \'best_f1_thresh\': No-answer probability threshold associated to the best F1
Examples:

    >>> predictions = [{\'prediction_text\': \'1976\', \'id\': \'56e10a3be3433e1400422b22\', \'no_answer_probability\': 0.}]
    >>> references = [{\'answers\': {\'answer_start\': [97], \'text\': [\'1976\']}, \'id\': \'56e10a3be3433e1400422b22\'}]
    >>> squad_v2_metric = datasets.load_metric("squad_v2")
    >>> results = squad_v2_metric.compute(predictions=predictions, references=references)
    >>> print(results)
    {\'exact\': 100.0, \'f1\': 100.0, \'total\': 1, \'HasAns_exact\': 100.0, \'HasAns_f1\': 100.0, \'HasAns_total\': 1, \'best_exact\': 100.0, \'best_exact_thresh\': 0.0, \'best_f1\': 100.0, \'best_f1_thresh\': 0.0}
'''
@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION       ,     _KWARGS_DESCRIPTION							)
class        _UpperCAmelCase							(						datasets.Metric							):




      def       a_ (							self							)  ->   Tuple:
          return datasets.MetricInfo(
              description=_DESCRIPTION				,    citation=_CITATION				,    inputs_description=_KWARGS_DESCRIPTION				,    features=datasets.Features(
                  {
                      'predictions': {
                          'id': datasets.Value('string'							),
                          'prediction_text': datasets.Value('string'							),
                          'no_answer_probability': datasets.Value('float32'							),
                      },
                      'references': {
                          'id': datasets.Value('string'							),
                          'answers': datasets.features.Sequence(
                              {'text': datasets.Value('string'							), 'answer_start': datasets.Value('int32'							)}							),
                      },
                  }							)				,    codebase_urls=['https://rajpurkar.github.io/SQuAD-explorer/']				,    reference_urls=['https://rajpurkar.github.io/SQuAD-explorer/']				,    )




      def       a_ (							self				,    lowercase_				,    lowercase_				,    lowercase_=1.0							)  ->   Dict:
          UpperCAmelCase       =   {p['id']: p['no_answer_probability'] for p in predictions}
          UpperCAmelCase       =   [{'paragraphs': [{'qas': references}]}]
          UpperCAmelCase       =   {p['id']: p['prediction_text'] for p in predictions}

          UpperCAmelCase       =   make_qid_to_has_ans(lowercase_							)  # maps qid to True/False
          UpperCAmelCase       =   [k for k, v in qid_to_has_ans.items() if v]
          UpperCAmelCase       =   [k for k, v in qid_to_has_ans.items() if not v]

          UpperCAmelCase     ,							UpperCAmelCase       =   get_raw_scores(lowercase_				,    lowercase_							)
          UpperCAmelCase       =   apply_no_ans_threshold(lowercase_				,    lowercase_				,    lowercase_				,    lowercase_							)
          UpperCAmelCase       =   apply_no_ans_threshold(lowercase_				,    lowercase_				,    lowercase_				,    lowercase_							)
          UpperCAmelCase       =   make_eval_dict(lowercase_				,    lowercase_							)

          if has_ans_qids:
              UpperCAmelCase       =   make_eval_dict(lowercase_				,    lowercase_				,    qid_list=lowercase_							)
              merge_eval(lowercase_				,    lowercase_				,    'HasAns'							)
          if no_ans_qids:
              UpperCAmelCase       =   make_eval_dict(lowercase_				,    lowercase_				,    qid_list=lowercase_							)
              merge_eval(lowercase_				,    lowercase_				,    'NoAns'							)
          find_all_best_thresh(lowercase_				,    lowercase_				,    lowercase_				,    lowercase_				,    lowercase_				,    lowercase_							)
          return dict(lowercase_							)





"""simple docstring"""

import math
import sys
class        _UpperCAmelCase							:




      def __init__(							self							)  ->   List[str]:
          UpperCAmelCase       =   0
          UpperCAmelCase       =   []
          UpperCAmelCase       =   {}  # To store the pos of node in array




      def       a_ (							self							)  ->   Dict:
          return self.cur_size == 0




      def       a_ (							self				,    lowercase_							)  ->   List[str]:
          UpperCAmelCase       =   self.left(lowercase_							)
          UpperCAmelCase       =   self.right(lowercase_							)
          if lc < self.cur_size and self.array(lowercase_							)[0] < self.array(lowercase_							)[0]:
              UpperCAmelCase       =   lc
          else:
              UpperCAmelCase       =   idx
          if rc < self.cur_size and self.array(lowercase_							)[0] < self.array(lowercase_							)[0]:
              UpperCAmelCase       =   rc
          if smallest != idx:
              self.swap(lowercase_				,    lowercase_							)
              self.min_heapify(lowercase_							)




      def       a_ (							self				,    lowercase_							)  ->   List[str]:
          # Inserts a node into the Priority Queue
          UpperCAmelCase       =   self.cur_size
          self.cur_size += 1
          self.array.append((sys.maxsize, tup[1])							)
          self.decrease_key((sys.maxsize, tup[1])				,    tup[0]							)




      def       a_ (							self							)  ->   int:
          # Removes and returns the min element at top of priority queue
          UpperCAmelCase       =   self.array[0][1]
          UpperCAmelCase       =   self.array[self.cur_size - 1]
          self.cur_size -= 1
          self.min_heapify(1							)
          del self.pos[min_node]
          return min_node




      def       a_ (							self				,    lowercase_							)  ->   Optional[int]:
          # returns the index of left child
          return 2 * i + 1




      def       a_ (							self				,    lowercase_							)  ->   List[Any]:
          # returns the index of right child
          return 2 * i + 2




      def       a_ (							self				,    lowercase_							)  ->   List[Any]:
          # returns the index of parent
          return math.floor(i / 2							)




      def       a_ (							self				,    lowercase_				,    lowercase_							)  ->   List[Any]:
          # swaps array elements at indices i and j
          # update the pos{}
          UpperCAmelCase       =   j
          UpperCAmelCase       =   i
          UpperCAmelCase       =   self.array[i]
          UpperCAmelCase       =   self.array[j]
          UpperCAmelCase       =   temp




      def       a_ (							self				,    lowercase_				,    lowercase_							)  ->   int:
          UpperCAmelCase       =   self.pos[tup[1]]
          # assuming the new_d is atmost old_d
          UpperCAmelCase       =   (new_d, tup[1])
          while idx > 0 and self.array[self.par(lowercase_							)][0] > self.array[idx][0]:
              self.swap(lowercase_				,    self.par(lowercase_							)							)
              UpperCAmelCase       =   self.par(lowercase_							)

class        _UpperCAmelCase							:




      def __init__(							self				,    lowercase_							)  ->   Union[str, Any]:
          UpperCAmelCase       =   {}  # To store graph: u -> (v,w)
          UpperCAmelCase       =   num  # Number of nodes in graph
          # To store the distance from source vertex
          UpperCAmelCase       =   [0] * self.num_nodes
          UpperCAmelCase       =   [-1] * self.num_nodes  # To store the path




      def       a_ (							self				,    lowercase_				,    lowercase_				,    lowercase_							)  ->   Any:
          #  Edge going from node u to v and v to u with weight w
          # u (w)-> v, v (w) -> u
          # Check if u already in graph
          if u in self.adjList:
              self.adjList[u].append((v, w)							)
          else:
              UpperCAmelCase       =   [(v, w)]

          # Assuming undirected graph
          if v in self.adjList:
              self.adjList[v].append((u, w)							)
          else:
              UpperCAmelCase       =   [(u, w)]




      def       a_ (							self							)  ->   Optional[Any]:
          # u -> v(w)
          for u in self.adjList:
              print(lowercase_				,    '->'				,    ' -> '.join(str(F"{v}({w})"							) for v, w in self.adjList[u]							)							)




      def       a_ (							self				,    lowercase_							)  ->   int:
          # Flush old junk values in par[]
          UpperCAmelCase       =   [-1] * self.num_nodes
          # src is the source node
          UpperCAmelCase       =   0
          UpperCAmelCase       =   PriorityQueue()
          q.insert((0, src)							)  # (dist from src, node)
          for u in self.adjList:
              if u != src:
                  UpperCAmelCase       =   sys.maxsize  # Infinity
                  UpperCAmelCase       =   -1

          while not q.is_empty():
              UpperCAmelCase       =   q.extract_min()  # Returns node with the min dist from source
              # Update the distance of all the neighbours of u and
              # if their prev dist was INFINITY then push them in Q
              for v, w in self.adjList[u]:
                  UpperCAmelCase       =   self.dist[u] + w
                  if self.dist[v] > new_dist:
                      if self.dist[v] == sys.maxsize:
                          q.insert((new_dist, v)							)
                      else:
                          q.decrease_key((self.dist[v], v)				,    lowercase_							)
                      UpperCAmelCase       =   new_dist
                      UpperCAmelCase       =   u

        # Show the shortest distances from src
          self.show_distances(lowercase_							)




      def       a_ (							self				,    lowercase_							)  ->   Any:
          print(F"Distance from node: {src}"							)
          for u in range(self.num_nodes							):
              print(F"Node {u} has distance: {self.dist[u]}"							)




      def       a_ (							self				,    lowercase_				,    lowercase_							)  ->   List[Any]:
          # To show the shortest path from src to dest
          # WARNING: Use it *after* calling dijkstra
          UpperCAmelCase       =   []
          UpperCAmelCase       =   0
          UpperCAmelCase       =   dest
          # Backtracking from dest to src
          while self.par[temp] != -1:
              path.append(lowercase_							)
              if temp != src:
                  for v, w in self.adjList[temp]:
                      if v == self.par[temp]:
                          cost += w
                          break
              UpperCAmelCase       =   self.par[temp]
          path.append(lowercase_							)
          path.reverse()

          print(F"----Path to reach {dest} from {src}----"							)
          for u in path:
              print(F"{u}"				,    end=' '							)
              if u != dest:
                  print('-> '				,    end=''							)

          print('\nTotal cost of path: '				,    lowercase_							)


if __name__ == "__main__":
   SCREAMING_SNAKE_CASE_         =  Graph(9)
   graph.add_edge(0, 1, 4)
   graph.add_edge(0, 7, 8)
   graph.add_edge(1, 2, 8)
   graph.add_edge(1, 7, 11)
   graph.add_edge(2, 3, 7)
   graph.add_edge(2, 8, 2)
   graph.add_edge(2, 5, 4)
   graph.add_edge(3, 4, 9)
   graph.add_edge(3, 5, 14)
   graph.add_edge(4, 5, 10)
   graph.add_edge(5, 6, 2)
   graph.add_edge(6, 7, 1)
   graph.add_edge(6, 8, 6)
   graph.add_edge(7, 8, 7)
   graph.show_graph()
   graph.dijkstra(0)
   graph.show_path(0, 4)

# OUTPUT
# 0 -> 1(4) -> 7(8)
# 1 -> 0(4) -> 2(8) -> 7(11)
# 7 -> 0(8) -> 1(11) -> 6(1) -> 8(7)
# 2 -> 1(8) -> 3(7) -> 8(2) -> 5(4)
# 3 -> 2(7) -> 4(9) -> 5(14)
# 8 -> 2(2) -> 6(6) -> 7(7)
# 5 -> 2(4) -> 3(14) -> 4(10) -> 6(2)
# 4 -> 3(9) -> 5(10)
# 6 -> 5(2) -> 7(1) -> 8(6)
# Distance from node: 0
# Node 0 has distance: 0
# Node 1 has distance: 4
# Node 2 has distance: 12
# Node 3 has distance: 19
# Node 4 has distance: 21
# Node 5 has distance: 11
# Node 6 has distance: 9
# Node 7 has distance: 8
# Node 8 has distance: 14
# ----Path to reach 4 from 0----
# 0 -> 7 -> 6 -> 5 -> 4
# Total cost of path:  21



