double operator[](double x) const {
assert(!curve_.empty());
AbstractCurvePoint xpt(x);
if (xpt <= *curve_.begin()) {
return static_cast<double>(*curve_.begin());
}
if (xpt >= *curve_.rbegin()) {
return static_cast<double>(*curve_.rbegin());
}
auto it_max = curve_.upper_bound(xpt);
assert(!((*it_max) <= xpt));
assert(xpt != (*it_max));
assert(xpt < (*it_max));
auto it_min = std::prev(it_max, 1);
assert(!((*it_min) > xpt));
assert((*it_min) <= xpt);
assert((*it_min) < (*it_max));
assert((*it_min) != (*it_max));
if (xpt == (*it_min)) {
return static_cast<double>(*it_min);
}
return (*it_min).interpolate(*it_max, x);
}
/// Mark the given indices (ToMark) as safe in the given set of indices
/// (Safe). Marking safe usually means adding ToMark to Safe. However, if there
/// is already a prefix of Indices in Safe, Indices are implicitely marked safe
/// already. Furthermore, any indices that Indices is itself a prefix of, are
/// removed from Safe (since they are implicitely safe because of Indices now).
static void MarkIndicesSafe(const ArgPromotion::IndicesVector &ToMark,
std::set<ArgPromotion::IndicesVector> &Safe) {
std::set<ArgPromotion::IndicesVector>::iterator Low;
Low = Safe.upper_bound(ToMark);
// Guard against the case where Safe is empty
if (Low != Safe.begin())
Low--;
// Low is now the last element smaller than or equal to Indices. This
// means it points to a prefix of Indices (possibly Indices itself), if
// such prefix exists.
if (Low != Safe.end()) {
if (IsPrefix(*Low, ToMark))
// If there is already a prefix of these indices (or exactly these
// indices) marked a safe, don't bother adding these indices
return;
// Increment Low, so we can use it as a "insert before" hint
++Low;
}
// Insert
Low = Safe.insert(Low, ToMark);
++Low;
// If there we're a prefix of longer index list(s), remove those
std::set<ArgPromotion::IndicesVector>::iterator End = Safe.end();
while (Low != End && IsPrefix(ToMark, *Low)) {
std::set<ArgPromotion::IndicesVector>::iterator Remove = Low;
++Low;
Safe.erase(Remove);
}
}
/// Checks if Indices, or a prefix of Indices, is in Set.
static bool PrefixIn(const ArgPromotion::IndicesVector &Indices,
std::set<ArgPromotion::IndicesVector> &Set) {
std::set<ArgPromotion::IndicesVector>::iterator Low;
Low = Set.upper_bound(Indices);
if (Low != Set.begin())
Low--;
// Low is now the last element smaller than or equal to Indices. This means
// it points to a prefix of Indices (possibly Indices itself), if such
// prefix exists.
//
// This load is safe if any prefix of its operands is safe to load.
return Low != Set.end() && IsPrefix(*Low, Indices);
}
long int nextPrime(long int after)
{
auto upperBound = primes.upper_bound(after);
if (upperBound != primes.end())
{
return *upperBound;
}
long int primeCandidate = after + after % 2 + 1; // next odd
for (; !isPrime(primeCandidate); primeCandidate += 2) { }
return primeCandidate;
}
void MemoryObjectStoreCursor::setReverseIteratorFromRemainingRange(std::set<IDBKeyData>& set)
{
if (!set.size()) {
m_iterator = Nullopt;
return;
}
if (m_remainingRange.isExactlyOneKey()) {
m_iterator = set.find(m_remainingRange.lowerKey);
if (*m_iterator == set.end())
m_iterator = Nullopt;
return;
}
if (!m_remainingRange.upperKey.isValid()) {
m_iterator = --set.end();
if (!m_remainingRange.containsKey(**m_iterator))
m_iterator = Nullopt;
return;
}
m_iterator = Nullopt;
// This is one record past the actual key we're looking for.
auto highest = set.upper_bound(m_remainingRange.upperKey);
if (highest == set.begin())
return;
// This is one record before that, which *is* the key we're looking for.
--highest;
if (m_remainingRange.upperOpen && *highest == m_remainingRange.upperKey) {
if (highest == set.begin())
return;
--highest;
}
if (!m_remainingRange.lowerKey.isNull()) {
if (highest->compare(m_remainingRange.lowerKey) < 0)
return;
if (m_remainingRange.lowerOpen && *highest == m_remainingRange.lowerKey)
return;
}
m_iterator = highest;
}
int main(){
//insert O(log N) per element or O(1) am per element for _sorted_ elements
//For a total of O(N log N) or O(N) for sorted inputs
int key;
for(key = 0; key < 10; key++){
myset.insert(key);
}
//find O(log N)
it = myset.find(3);
//removes 3 in O(1) am post-find time
myset.erase(it);
//removes 4 from the set O(log N) time
myset.erase(4);
//iterate the set in forward order O(1) am / O(log N)
//for a total of O(N) total
//Note that begin() returns an iterator to the first element
//whereas that end() returns to a dummy element after the last element
for(it = myset.begin(); it != myset.end(); it++){
std::cout << *it << " " ;
}
std::cout << std::endl;
//iterate the set in reverse order )O(1) am / O(log N)
//for a total of O(N) total
//Note that rbegin() returns an iterator to the last element
//whereas that end() returns to a dummy element before the first element
for(rit = myset.rbegin(); rit != myset.rend(); rit++){
std::cout << *rit << " " ;
}
std::cout << std::endl;
//Find the first element greater than or equal to the current element in O(log N) time
//In this case it returns 6
it = myset.lower_bound(6);
std::cout << *it << std::endl;
//Find the first element greater than the current element in O(log N) time
//In this case it returns 7
it = myset.upper_bound(6);
std::cout << *it << std::endl;
// Empties the set O(N) time
myset.clear();
}
int main() {
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
//std::ios::sync_with_stdio(0);
int c, n;
scanf("%d %d", &c, &n);
for (int i = 1; i <= n; ++i)
scanf("%d", a + i);
m.insert(0);
for (int i = 1; i <= n; ++i) {
p = m;
for (std::set<int>::iterator it = p.begin(); it != p.end(); ++it)
m.insert(*it + a[i]);
}
printf("%d", *(--m.upper_bound(c)));
}
std::set<IDBKeyData>::reverse_iterator MemoryObjectStoreCursor::firstReverseIteratorInRemainingRange(std::set<IDBKeyData>& set)
{
if (m_remainingRange.isExactlyOneKey()) {
auto iterator = set.find(m_remainingRange.lowerKey);
if (iterator == set.end())
return set.rend();
return --std::set<IDBKeyData>::reverse_iterator(iterator);
}
if (!m_remainingRange.upperKey.isValid())
return set.rbegin();
// This is one record past the actual key we're looking for.
auto highest = set.upper_bound(m_remainingRange.upperKey);
// This is one record before that, which *is* the key we're looking for.
auto reverse = std::set<IDBKeyData>::reverse_iterator(highest);
if (reverse == set.rend())
return reverse;
if (m_remainingRange.upperOpen && *reverse == m_remainingRange.upperKey) {
++reverse;
if (reverse == set.rend())
return reverse;
}
if (!m_remainingRange.lowerKey.isNull()) {
if (reverse->compare(m_remainingRange.lowerKey) < 0)
return set.rend();
if (m_remainingRange.lowerOpen && *reverse == m_remainingRange.lowerKey)
return set.rend();
}
return reverse;
}
// 左对齐
PBLOBNBOX LineFinder::findAlignedBlob(const AlignedBlobParams& p, std::set<PBLOBNBOX, BoxCmp_LT<BLOBNBOX>>& bset, PBLOBNBOX bbox){
if (bbox == nullptr) return nullptr;
int dx = p.vertical.x, dy = p.vertical.y;
int dir_y = dy < 0 ? -1 : 1;
int skew_tolerance = p.max_v_gap / jun::kMaxSkewFactor;
int x2 = (p.max_v_gap*dx + dy / 2) / dy;
Rect box = bbox->bounding_box();
int x_start = box.x;
x2 += x_start;
int xmin, xmax, ymin, ymax;
if (x2 < x_start){ //向左
xmin = x2; xmax = x_start;
}
else{
xmin = x_start; xmax = x2;
}
if (dy > 0){ //向下
ymin = box.ylast();
ymax = ymin + p.max_v_gap;
}
else{
ymax = box.y;
ymin = ymax - p.max_v_gap;
}
xmin -= skew_tolerance - p.min_gutter;
xmax += skew_tolerance + p.r_align_tolerance;
logger()->debug("Starting {} {} search at {}-{},{} dy={} search_size={}, gutter={}\n",
p.ragged ? "Ragged" : "Aligned", "Left", xmin, xmax, box.ylast(), dir_y, p.max_v_gap, p.min_gutter
);
auto begin_blob = std::make_shared<BLOBNBOX>();
begin_blob->set_bounding_box(Rect{ xmin, ymin, 1, 1 });
auto end_blob = std::make_shared<BLOBNBOX>();
end_blob->set_bounding_box(Rect{ xmax, ymax, 1, 1 });
auto beginIter = bset.lower_bound(begin_blob);
auto endIter = bset.upper_bound(end_blob);
PBLOBNBOX result = nullptr;
int min_dist = std::numeric_limits<int>::max();
for (auto iter = beginIter; iter != endIter; ++iter){
Rect nbox = (*iter)->bounding_box();
int n_y = (nbox.y + nbox.ylast()) / 2;
if ((dy > 0) && (n_y<ymin || n_y>ymax)) continue;
if (dy < 0 && (n_y < ymin || n_y > ymax)) continue;
int x_at_ny = x_start + (n_y - ymin)*dx / dy;
int n_x = nbox.x;
//aligned so keep it.
if (n_x <= x_at_ny + p.r_align_tolerance&&n_x >= x_at_ny - p.l_align_tolerance){
logger()->debug("aligned, seeking left, box={}\n", nbox);
TabType n_type = (*iter)->left_tab_type;
if (n_type != TabType::TT_NONE && (p.ragged || n_type != TabType::TT_MAYBE_RAGGED)){
int x_dist = n_x - x_at_ny;
int y_dist = n_y - ymin;
int new_dist = x_dist*x_dist + y_dist*y_dist;
if (new_dist < min_dist) {
min_dist = new_dist;
result = (*iter);
}
}
}
}
return result;
}