2017 ACM/ICPC 沈阳 I题 Little Boxes

Little boxes on the hillside. 
Little boxes made of ticky-tacky. 
Little boxes. 
Little boxes. 
Little boxes all the same. 
There are a green boxes, and b pink boxes. 
And c blue boxes and d yellow boxes. 
And they are all made out of ticky-tacky. 
And they all look just the same. 

InputThe input has several test cases. The first line contains the integer t (1 ≤ t ≤ 10) which is the total number of test cases. 
For each test case, a line contains four non-negative integers a, b, c and d where a, b, c, d ≤ 2^62, indicating the numbers of green boxes, pink boxes, blue boxes and yellow boxes. 
OutputFor each test case, output a line with the total number of boxes. 
Sample Input

4
1 2 3 4
0 0 0 0
1 0 0 0
111 222 333 404

Sample Output

10
0
1
1070
题解： 题意就是求a+b+c+d的结果
C++大数模板求即可Orz
  1 #include <bits/stdc++.h>
  2 using namespace std;
  3 // base and base_digits must be consistent
  4 constexpr int base = 1000000000;
  5 constexpr int base_digits = 9;
  6 struct bigint{
  7     vector<int> z;
  8     int sign;
  9     bigint() : sign(1) {}
 10     bigint(long long v) { *this = v; }
 11     bigint& operator=(long long v)
 12     {
 13         sign = v < 0 ? -1 : 1;
 14         v*=sign;
 15         z.clear();
 16         for(; v > 0; v = v / base) z.push_back((int)(v % base));
 17         return *this;
 18     }
 19 
 20     bigint(const string& s) { read(s); }
 21 
 22     bigint& operator+=(const bigint& other)
 23     {
 24         if (sign == other.sign)
 25         {
 26             for (int i = 0, carry = 0; i < other.z.size() || carry; ++i)
 27             {
 28                 if(i==z.size()) z.push_back(0);
 29                 z[i] += carry + (i < other.z.size() ? other.z[i] : 0);
 30                 carry = z[i] >= base;
 31                 if(carry) z[i] -= base;
 32             }
 33         }
 34         else if (other != 0 /* prevent infinite loop */)
 35         {
 36             *this -= -other;
 37         }
 38         return *this;
 39     }
 40 
 41     friend bigint operator+(bigint a, const bigint& b)
 42     {
 43         return a += b;
 44     }
 45 
 46     bigint& operator-=(const bigint& other)
 47     {
 48         if (sign == other.sign)
 49         {
 50             if (sign == 1 && *this >= other || sign == -1 && *this <= other)
 51             {
 52                 for (int i = 0, carry = 0; i < other.z.size() || carry; ++i)
 53                 {
 54                     z[i] -= carry + (i < other.z.size() ? other.z[i] : 0);
 55                     carry = z[i] < 0;
 56                     if(carry) z[i] += base;
 57                 }
 58                 trim();
 59             }
 60             else
 61             {
 62                 *this = other - *this;
 63                 this->sign = -this->sign;
 64             }
 65         }
 66         else *this += -other;
 67         return *this;
 68     }
 69 
 70     friend bigint operator - (bigint a,const bigint& b)
 71     {
 72         return a -= b;
 73     }
 74 
 75     bigint& operator*=(int v)
 76     {
 77         if(v<0) sign=-sign,v=-v;
 78         for(int i=0,carry=0;i<z.size() || carry;++i)
 79         {
 80             if(i==z.size()) z.push_back(0);
 81             long long cur = (long long)z[i] * v + carry;
 82             carry = (int)(cur / base);
 83             z[i] = (int)(cur % base);
 84         }
 85         trim();
 86         return *this;
 87     }
 88 
 89     bigint operator*(int v) const
 90     {
 91         return bigint(*this) *= v;
 92     }
 93 
 94     friend pair<bigint, bigint> divmod(const bigint& a1, const bigint& b1)
 95     {
 96         int norm = base / (b1.z.back() + 1);
 97         bigint a = a1.abs() * norm;
 98         bigint b = b1.abs() * norm;
 99         bigint q, r;
100         q.z.resize(a.z.size());
101 
102         for (int i = (int)a.z.size() - 1; i >= 0; i--)
103         {
104             r*=base; r+=a.z[i];
105             int s1 = b.z.size() < r.z.size() ? r.z[b.z.size()] : 0;
106             int s2 = b.z.size() - 1 < r.z.size() ? r.z[b.z.size() - 1] : 0;
107             int d = (int)(((long long)s1 * base + s2) / b.z.back());
108             r -= b * d;
109             while(r < 0) r+=b,--d;
110             q.z[i] = d;
111         }
112 
113         q.sign = a1.sign * b1.sign;
114         r.sign = a1.sign;
115         q.trim();
116         r.trim();
117         return {q, r / norm};
118     }
119 
120     friend bigint sqrt(const bigint& a1)
121     {
122         bigint a=a1;
123         while(a.z.empty()||a.z.size()%2==1) a.z.push_back(0);
124 
125         int n = a.z.size();
126         int firstDigit = (int)::sqrt((double)a.z[n - 1] * base + a.z[n - 2]);
127         int norm = base / (firstDigit + 1);
128         a *= norm;
129         a *= norm;
130         while(a.z.empty()||a.z.size()%2==1) a.z.push_back(0);
131 
132         bigint r = (long long)a.z[n - 1] * base + a.z[n - 2];
133         firstDigit = (int)::sqrt((double)a.z[n - 1] * base + a.z[n - 2]);
134         int q = firstDigit;
135         bigint res;
136         for (int j = n / 2 - 1; j >= 0; j--)
137         {
138             for(;;--q)
139             {
140                 bigint r1=(r-(res*2*base+q)*q)*base*base+(j>0?(long long)a.z[2*j-1]*base+a.z[2*j-2]:0);
141                 if(r1>=0) { r=r1; break; }
142             }
143             res*=base;res+=q;
144             if(j>0)
145             {
146                 int d1 = res.z.size() + 2 < r.z.size() ? r.z[res.z.size() + 2] : 0;
147                 int d2 = res.z.size() + 1 < r.z.size() ? r.z[res.z.size() + 1] : 0;
148                 int d3 = res.z.size() < r.z.size() ? r.z[res.z.size()]:0;
149                 q = (int)(((long long)d1*base*base+(long long)d2*base+d3)/(firstDigit*2));
150             }
151         }
152 
153         res.trim();
154         return res / norm;
155     }
156 
157     bigint operator/(const bigint& v) const
158     {
159         return divmod(*this, v).first;
160     }
161 
162     bigint operator%(const bigint& v) const
163     {
164         return divmod(*this, v).second;
165     }
166 
167     bigint& operator/=(int v)
168     {
169         if(v<0) sign=-sign,v=-v;
170         for (int i = (int)z.size() - 1, rem = 0; i >= 0; --i)
171         {
172             long long cur = z[i] + rem * (long long)base;
173             z[i] = (int)(cur / v);
174             rem = (int)(cur % v);
175         }
176         trim();
177         return *this;
178     }
179 
180     bigint operator/(int v) const
181     {
182         return bigint(*this) /= v;
183     }
184 
185     int operator%(int v) const
186     {
187         if(v<0) v=-v;
188         int m=0;
189         for(int i=(int)z.size()-1;i>=0;--i) m=(int)((z[i]+m*(long long)base)%v);
190         return m * sign;
191     }
192 
193     bigint& operator*=(const bigint& v)
194     {
195         *this = *this * v;
196         return *this;
197     }
198 
199     bigint& operator/=(const bigint& v)
200     {
201         *this = *this / v;
202         return *this;
203     }
204 
205     bool operator<(const bigint& v) const
206     {
207         if(sign!=v.sign) return sign < v.sign;
208         if(z.size()!=v.z.size()) return z.size()*sign<v.z.size()*v.sign;
209         for(int i = (int)z.size() - 1; i >= 0; i--)
210             if(z[i] != v.z[i])  return z[i] * sign < v.z[i] * sign;
211         return false;
212     }
213 
214     bool operator>(const bigint& v) const { return v < *this; }
215     bool operator<=(const bigint& v) const { return !(v < *this); }
216     bool operator>=(const bigint& v) const { return !(*this < v); }
217     bool operator==(const bigint& v) const { return !(*this < v) && !(v < *this); }
218     bool operator!=(const bigint& v) const { return *this < v || v < *this; }
219 
220     void trim()
221     {
222         while(!z.empty() && z.back() == 0) z.pop_back();
223         if(z.empty()) sign = 1;
224     }
225 
226     bool isZero() const { return z.empty(); }
227 
228     friend bigint operator-(bigint v)
229     {
230         if(!v.z.empty()) v.sign = -v.sign;
231         return v;
232     }
233 
234     bigint abs() const
235     {
236         return sign == 1 ? *this : -*this;
237     }
238 
239     long long longValue() const
240     {
241         long long res = 0;
242         for(int i = (int)z.size() - 1; i >= 0; i--) res = res * base + z[i];
243         return res * sign;
244     }
245 
246     friend bigint gcd(const bigint& a, const bigint& b)
247     {
248         return b.isZero() ? a : gcd(b, a % b);
249     }
250 
251     friend bigint lcm(const bigint& a, const bigint& b)
252     {
253         return a / gcd(a, b) * b;
254     }
255 
256     void read(const string& s)
257     {
258         sign = 1;
259         z.clear();
260         int pos = 0;
261         while(pos < s.size() && (s[pos] == '-' || s[pos] == '+'))
262         {
263             if(s[pos] == '-') sign = -sign;
264             ++pos;
265         }
266         for(int i=(int)s.size()-1;i>=pos;i-=base_digits)
267         {
268             int x=0;
269             for(int j=max(pos,i-base_digits+1);j<=i;j++) x=x*10+s[j]-'0';
270             z.push_back(x);
271         }
272         trim();
273     }
274 
275     friend istream& operator>>(istream& stream, bigint& v)
276     {
277         string s;
278         stream >> s;
279         v.read(s);
280         return stream;
281     }
282 
283     friend ostream& operator<<(ostream& stream, const bigint& v)
284     {
285         if(v.sign == -1) stream << '-';
286         stream << (v.z.empty() ? 0 : v.z.back());
287         for(int i = (int)v.z.size() - 2; i >= 0; --i)
288             stream << setw(base_digits) << setfill('0') << v.z[i];
289         return stream;
290     }
291 
292     static vector<int> convert_base(const vector<int>& a, int old_digits, int new_digits)
293     {
294         vector<long long> p(max(old_digits, new_digits) + 1);
295         p[0] = 1;
296         for(int i=1;i<p.size();i++) p[i]=p[i-1]*10;
297         vector<int> res;
298         long long cur = 0;
299         int cur_digits = 0;
300         for(int v : a)
301         {
302             cur += v * p[cur_digits];
303             cur_digits += old_digits;
304             while (cur_digits >= new_digits)
305             {
306                 res.push_back(int(cur % p[new_digits]));
307                 cur /= p[new_digits];
308                 cur_digits -= new_digits;
309             }
310         }
311         res.push_back((int)cur);
312         while(!res.empty() && res.back()==0)
313             res.pop_back();
314         return res;
315     }
316 
317     typedef vector<long long> vll;
318     static vll karatsubaMultiply(const vll& a, const vll& b)
319     {
320         int n=a.size();
321         vll res(n + n);
322         if(n <= 32)
323         {
324             for (int i = 0; i < n; i++)
325                 for (int j = 0; j < n; j++)
326                     res[i + j] += a[i] * b[j];
327             return res;
328         }
329 
330         int k = n >> 1;
331         vll a1(a.begin(), a.begin() + k);
332         vll a2(a.begin() + k, a.end());
333         vll b1(b.begin(), b.begin() + k);
334         vll b2(b.begin() + k, b.end());
335         vll a1b1 = karatsubaMultiply(a1, b1);
336         vll a2b2 = karatsubaMultiply(a2, b2);
337         for(int i=0;i<k;i++) a2[i]+=a1[i];
338         for(int i=0;i<k;i++) b2[i]+=b1[i];
339 
340         vll r = karatsubaMultiply(a2, b2);
341         for(int i=0;i<a1b1.size();i++) r[i]-=a1b1[i];
342         for(int i=0;i<a2b2.size();i++) r[i]-=a2b2[i];
343         for(int i=0;i<r.size();i++) res[i+k]+=r[i];
344         for(int i=0;i<a1b1.size();i++) res[i]+=a1b1[i];
345         for(int i = 0;i<a2b2.size();i++) res[i+n]+=a2b2[i];
346         return res;
347     }
348 
349     bigint operator*(const bigint& v) const
350     {
351         vector<int> a6=convert_base(this->z,base_digits,6);
352         vector<int> b6=convert_base(v.z,base_digits,6);
353         vll a(a6.begin(),a6.end());
354         vll b(b6.begin(),b6.end());
355         while(a.size()<b.size()) a.push_back(0);
356         while(b.size()<a.size()) b.push_back(0);
357         while(a.size()&(a.size()-1)) a.push_back(0),b.push_back(0);
358         vll c=karatsubaMultiply(a, b);
359         bigint res;
360         res.sign = sign * v.sign;
361         for (int i = 0, carry = 0; i < c.size(); i++)
362         {
363             long long cur = c[i] + carry;
364             res.z.push_back((int)(cur % 1000000));
365             carry = (int)(cur / 1000000);
366         }
367         res.z = convert_base(res.z, 6, base_digits);
368         res.trim();
369         return res;
370     }
371 };
372 int main()
373 {
374     ios::sync_with_stdio(0);
375     cin.tie(0);
376     bigint a, b, c, d;
377     int T; cin >> T;
378     while(T--)
379     {
380         cin >>a>>b>>c>>d;
381         a=a+b+c+d;
382         cout<<a<<endl;
383         
384     }
385     return 0;
386 }
View Code

 

　　

posted @ 2018-10-14 01:12  StarHai  阅读(572)  评论(0)  编辑  收藏  举报