//Krzysztof Pieprzak
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef unsigned int uint;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int,int> pii;
typedef pair<long long, long long> pll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
#define Size(x) (int)x.size()
#define VAR(v,n) auto v = (n)
#define FOR(i,a,b) for(VAR(i,a); i < (b); ++i)
#define FORE(i,a,b) for(VAR(i,a); i <= (b); ++i)
#define FORREV(i,a,b) for(VAR(i,b); i >= (a); --i)
#define FORSTEP(i,a,b,step) for(VAR(i,a); i < (b); i += (step))
#define FOREACH(i,c) for(auto i : (c))
#define FOREACHS(i,c,n) for(VAR(i,&(c)[0]); i-(c)<(n); ++i)
#define ALL(x) x.begin(),x.end()
#define CLEAR(t) memset(t, 0, sizeof(t))
#define F first
#define S second
#define MP make_pair
#define PUB push_back
#define POB pop_back
#define pieprzu ios_base::sync_with_stdio(0);
#define debugOn 0
#define debug(a,b) if (debugOn) cout << a << ": " << b << endl;
const int INF = 1000000001;
const double EPS = 10e-9;
const int MAXN = 1000000;
int t[MAXN + 5];
int positions[MAXN + 5];
void rob(int test) {
int n;
scanf("%d", &n);
FOR (i, 0, n) {
scanf("%d", &t[i]);
positions[t[i]] = i;
}
pii currRange = MP(positions[n], positions[n]);
ll result = 1;
int maxes = 1;
FORREV (i, 1, n - 1) {
int position = positions[i];
if (position < currRange.F) {
currRange.F = position;
} else {
currRange.S = position;
}
++maxes;
debug("i", i);
debug("position", position);
debug("currRange.F", currRange.F);
debug("currRange.S", currRange.S);
debug("maxes", maxes);
FORREV (j, 1, i - 1) {
if (positions[j] >= currRange.F && positions[j] <= currRange.S) {
++maxes;
i = j;
} else {
break;
}
}
debug("iUpdated", i);
if (i == 1) {
++result;
debug("result", result);
break;
}
int possibleNumbersToAdd = min(maxes - 1, n - maxes);
debug("possibleNumbersToAdd", possibleNumbersToAdd);
int notMaxesInRange = currRange.S - currRange.F + 1 - maxes;
debug("notMaxesInRange", notMaxesInRange);
int possibleNumbersToAddOutsideRange = possibleNumbersToAdd - notMaxesInRange;
debug("possibleNumbersToAddOutsideRange", possibleNumbersToAddOutsideRange);
if (possibleNumbersToAddOutsideRange >= 0) {
int possibleNumbersToLeft = positions[i - 1] < currRange.F ? currRange.F - positions[i - 1] - 1 : currRange.F;
int possibleNumbersToRight = positions[i - 1] > currRange.S ? positions[i - 1] - currRange.S - 1 : n - currRange.S - 1;
debug("possibleNumbersToLeft", possibleNumbersToLeft);
debug("possibleNumbersToRight", possibleNumbersToRight);
int mxNumbersToAdd = min(possibleNumbersToAddOutsideRange, possibleNumbersToLeft + possibleNumbersToRight);
ll all = ((ll) (mxNumbersToAdd + 2)) * (mxNumbersToAdd + 1) / 2;
ll impossibleLeft = mxNumbersToAdd > possibleNumbersToLeft ? ((ll) mxNumbersToAdd - possibleNumbersToLeft + 1) * (mxNumbersToAdd - possibleNumbersToLeft) / 2 : 0;
ll impossibleRight = mxNumbersToAdd > possibleNumbersToRight ? ((ll) mxNumbersToAdd - possibleNumbersToRight + 1) * (mxNumbersToAdd - possibleNumbersToRight) / 2 : 0;
debug("all", all);
debug("impossibleLeft", impossibleLeft);
debug("impossibleRight", impossibleRight);
debug("add to result", all - impossibleLeft - impossibleRight);
result += (all - impossibleLeft - impossibleRight);
}
debug("result", result);
}
int median2 = (n % 2 == 1) ? (n/2 + 1) * 2 : (n/2 + n/2+1);
printf("%d %lld\n", n + median2, result);
}
int main() {
int test = 1;
//scanf("%d", &test);
FORE (i, 1, test) rob(i);
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 | //Krzysztof Pieprzak #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef unsigned long long ull; typedef unsigned int uint; typedef vector<int> vi; typedef vector<ll> vll; typedef pair<int,int> pii; typedef pair<long long, long long> pll; typedef vector<pii> vpii; typedef vector<pll> vpll; #define Size(x) (int)x.size() #define VAR(v,n) auto v = (n) #define FOR(i,a,b) for(VAR(i,a); i < (b); ++i) #define FORE(i,a,b) for(VAR(i,a); i <= (b); ++i) #define FORREV(i,a,b) for(VAR(i,b); i >= (a); --i) #define FORSTEP(i,a,b,step) for(VAR(i,a); i < (b); i += (step)) #define FOREACH(i,c) for(auto i : (c)) #define FOREACHS(i,c,n) for(VAR(i,&(c)[0]); i-(c)<(n); ++i) #define ALL(x) x.begin(),x.end() #define CLEAR(t) memset(t, 0, sizeof(t)) #define F first #define S second #define MP make_pair #define PUB push_back #define POB pop_back #define pieprzu ios_base::sync_with_stdio(0); #define debugOn 0 #define debug(a,b) if (debugOn) cout << a << ": " << b << endl; const int INF = 1000000001; const double EPS = 10e-9; const int MAXN = 1000000; int t[MAXN + 5]; int positions[MAXN + 5]; void rob(int test) { int n; scanf("%d", &n); FOR (i, 0, n) { scanf("%d", &t[i]); positions[t[i]] = i; } pii currRange = MP(positions[n], positions[n]); ll result = 1; int maxes = 1; FORREV (i, 1, n - 1) { int position = positions[i]; if (position < currRange.F) { currRange.F = position; } else { currRange.S = position; } ++maxes; debug("i", i); debug("position", position); debug("currRange.F", currRange.F); debug("currRange.S", currRange.S); debug("maxes", maxes); FORREV (j, 1, i - 1) { if (positions[j] >= currRange.F && positions[j] <= currRange.S) { ++maxes; i = j; } else { break; } } debug("iUpdated", i); if (i == 1) { ++result; debug("result", result); break; } int possibleNumbersToAdd = min(maxes - 1, n - maxes); debug("possibleNumbersToAdd", possibleNumbersToAdd); int notMaxesInRange = currRange.S - currRange.F + 1 - maxes; debug("notMaxesInRange", notMaxesInRange); int possibleNumbersToAddOutsideRange = possibleNumbersToAdd - notMaxesInRange; debug("possibleNumbersToAddOutsideRange", possibleNumbersToAddOutsideRange); if (possibleNumbersToAddOutsideRange >= 0) { int possibleNumbersToLeft = positions[i - 1] < currRange.F ? currRange.F - positions[i - 1] - 1 : currRange.F; int possibleNumbersToRight = positions[i - 1] > currRange.S ? positions[i - 1] - currRange.S - 1 : n - currRange.S - 1; debug("possibleNumbersToLeft", possibleNumbersToLeft); debug("possibleNumbersToRight", possibleNumbersToRight); int mxNumbersToAdd = min(possibleNumbersToAddOutsideRange, possibleNumbersToLeft + possibleNumbersToRight); ll all = ((ll) (mxNumbersToAdd + 2)) * (mxNumbersToAdd + 1) / 2; ll impossibleLeft = mxNumbersToAdd > possibleNumbersToLeft ? ((ll) mxNumbersToAdd - possibleNumbersToLeft + 1) * (mxNumbersToAdd - possibleNumbersToLeft) / 2 : 0; ll impossibleRight = mxNumbersToAdd > possibleNumbersToRight ? ((ll) mxNumbersToAdd - possibleNumbersToRight + 1) * (mxNumbersToAdd - possibleNumbersToRight) / 2 : 0; debug("all", all); debug("impossibleLeft", impossibleLeft); debug("impossibleRight", impossibleRight); debug("add to result", all - impossibleLeft - impossibleRight); result += (all - impossibleLeft - impossibleRight); } debug("result", result); } int median2 = (n % 2 == 1) ? (n/2 + 1) * 2 : (n/2 + n/2+1); printf("%d %lld\n", n + median2, result); } int main() { int test = 1; //scanf("%d", &test); FORE (i, 1, test) rob(i); return 0; } |
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