A deque (pronounced deck) is a double-ended queue where objects can be efficiently pushed to and popped from either end of the queue.Arrays are not ideally suited to this task because arrays operate more efficiently when used like a stack, pushing and popping elements at the end of the array where the unused elements are. When we run out of unused elements we can reallocate the array creating more space at the end as required (typically doubling the allocation with each reallocation). For this we need to keep track of three pieces of information:The start address of the array.The overall length of the array in elements (size).The number of unused elements at the end of the array (space).A queue differs from a stack in that all insertions occur at the first unused element, while extractions occur at the first used element, which is initially at the start of the array. After an extraction we end up with an unused element at the start of the array. Although we could shunt all used elements by one element to eliminate the gap, it is more efficient to just keep track of the front of the queue. Thus we need 4 pieces of information:The start address of the array.The overall length of the array in elements (size).The total number of unused elements in the array (space).The index of the first element in the queue (start).From this information it is trivial to calculate the length of the queue (size-space) and thus determine where the first unused element is using modulo arithmetic: ((start+(size-space))%size).When we run out of space at the end of the array for an insertion, we simply use the unused elements at the beginning of the array. When we run out of space completely, we normalise the array so that the start of the queue is back at the beginning of the array before reallocating the array, thus placing all the new unused elements at the end of the array (after the last element in the queue). If we don't normalise the array, we will most likely end up with unused elements in the middle of the queue due to the circular nature of the array.To implement a deque we use a similar technique except we can insert and extract from either end of the queue. The following program demonstrates how the major deque operations can be implemented upon an array of unsigned integers.#include#include#include#include// a deque of unsigned integerstypedef struct arraydeque_t {unsigned* arr; // pointer to a variable length array of type unsignedunsigned sz; // overall length of array (in elements)unsigned space; // unused elementsunsigned start; // index of the start of the queue} arraydeque;bool is_empty (arraydeque*);unsigned size (arraydeque*);unsigned back (arraydeque*);unsigned front (arraydeque*);int initialise (arraydeque*);int push_back (arraydeque*, unsigned);int push_front (arraydeque*, unsigned);int expand (arraydeque*);void pop_back (arraydeque*);void pop_front (arraydeque*);void clear (arraydeque*);// calculates and returns the length of the queueunsigned size (arraydeque* deq) {return deq->sz-deq->space;}// returns true if the queue is emptybool is_empty (arraydeque* deq) {return deq->space==deq->sz;}// clear the dequevoid clear (arraydeque* deq) {if (deq->arr) free (deq->arr);memset (deq, 0, sizeof (arraydeque));}// initialise the dequeint initialise (arraydeque* deq) {const unsigned sz = 1; // start with 2 unused elementsmemset (deq, 0, sizeof (arraydeque));deq->arr = (unsigned*) malloc (sz * sizeof (unsigned));if (!deq->arr) return -1; // out of memorydeq->sz = sz;deq->space = sz;return 0;}// increase the size of the deque (create space)int expand (arraydeque* deq) {unsigned space, t, i, *p;if (deq->space) return 0; // no need to expand when we have space// normalise the array (realign the start of the queue with the start of the arraywhile (deq->start) {t = deq->arr[0]; // temporarily store first element valuefor (i=1; isz; ++i) // shunt all other elements forwarddeq->arr[i-1] = deq->arr[i];deq->arr[deq->sz-1] = t; // put temporary value at end of array--deq->start;}// reallocate the array to create space after the queuespace = (unsigned) (0.6 * deq->sz + 1); // optimum growth: 160%p = (unsigned*) realloc (deq->arr, (deq->sz + space) * sizeof(unsigned));if (!p) return -1; // out of memorydeq->arr = p;deq->sz += space;deq->space = space;return 0;}// insert value at the back of the queueint push_back (arraydeque* deq, unsigned val) {if (expand (deq))return -1; // out of memorydeq->arr[(deq->start+size (deq))%deq->sz] = val;--deq->space;return 0;}// insert value at the front of the queueint push_front (arraydeque* deq, unsigned val) {if (expand (deq))return -1; // out of memoryif (!deq->start)deq->start=deq->sz;--deq->start;deq->arr[deq->start] = val;--deq->space;return 0;}// extract the back valuevoid pop_back (arraydeque* deq) {++deq->space;}// extract the front valuevoid pop_front (arraydeque* deq) {++deq->start;deq->start%=deq->sz;++deq->space;}// return the back valueunsigned back (arraydeque* deq) {return deq->arr[((deq->start + size(deq)-1)%deq->sz)];}// return the front valueunsigned front (arraydeque* deq) {return deq->arr[deq->start];}// returns true or false at random (used by test program)bool is_true (void) {return rand() & 0x1;}// prints the content of the deque (used by test program)void print_queue (arraydeque* deq) {unsigned i, sz;printf ("{");sz = size (deq);i = deq->start;while (sz--) {printf ("%u%s", deq->arr[i++], sz?", ":"");if (i==deq->sz) i=0;}printf ("}\n");}// test programint main (void) {unsigned i, loop;srand((unsigned) time(0)); // seed random generatorarraydeque deq;initialise (&deq); // initialise the dequefor (loop=0; loop
The Department of Environmental Quality.
Department of Environmental Quality
the answers
The C++ STL (Standard Template Library) provides a std::deque template specifically for this purpose: std::deque<int> deq {}; // default construct an empty deque of type int deq.push_back (42); // deq = {42} deq.push_front (0); // deq = {0, 42} deq.push_back (100); // deq = {0, 42, 100} deq.pop_front (); // deq = {42, 100} deq.pop_back (); // deq = {42} As with all other STL containers, any type or class that can be copy or move constructed can be placed in a std::deque, including other STL containers (even std::deque itself).
you will get the check engine light on and not pass the dEQ
The Pioneer DEQ-7600 is a Digital signal processor with EQ and spectrum analyzer
Chlorastrolite http://www.michigan.gov/deq/0,1607,7-135-3311_4112_32722-112290--,00.html
The Department of Environmental Quality (DEQ) and the Environmental Protection Agency (EPA) are both involved in regulating and overseeing stormwater management practices related to storm drains. The EPA sets federal standards and guidelines to control pollution from stormwater runoff, while the DEQ implements these regulations at the state level, ensuring compliance and monitoring local water quality. Together, they work to prevent contaminants from entering waterways through storm drains, protecting public health and the environment.
I just did it for $193 plus $21 for DEQ inspection on a '92 Ford Escort in the state of Oregon.
If its for emissions testing, in Oregon you go to the DEQ, if you want your car inspected for general maintenance and repairs, take it to your mechanic.
#include<deque> std::deque<int> deq; deq.push_back (42); deq.pop_back (); deq.push_front (0); deq.pop_front ();