#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)<; using vi = vector; using vll = vector; const int MOD = (int)1e9 + 7; int add(int a, int b) { int c = a + b; if (c >= MOD)c -= MOD; else if (c < 0)c += MOD; return c; } int mul(int a, int b) { return (int)((long long)a*b%MOD); } const int MAGIC[101][3] = { { 0,0,0 }, { 36891058,908460138,964927951 }, { 708713046,371975563,946533617 }, { 832459368,967988087,509786860 }, { 555285113,392460984,207105907 }, { 355333862,864787550,200000007 }, { 534952325,4660654,371423623 }, { 457037277,393241336,407794103 }, { 445100786,530142919,885945115 }, { 780396802,662356693,73070046 }, { 999999973,21,999999734 }, { 823366807,964730508,978161894 }, { 715243378,47291577,287143675 }, { 24131371,897801569,250793022 }, { 361986899,558994539,758601952 }, { 79187200,219772980,200012817 }, { 909494817,173410246,54967674 }, { 718800694,485645421,496453263 }, { 999574610,455258545,726782935 }, { 375999376,777695784,672638455 }, { 1597,999999020,999397937 }, { 264869286,749206315,838357449 }, { 674848433,405320339,779553125 }, { 33366209,835338478,990409271 }, { 431330760,334795872,27390880 }, { 922867773,805882474,228284466 }, { 718791584,845057847,942232496 }, { 759330350,781424045,264550114 }, { 574892880,72705620,123981650 }, { 547632659,785941725,439990192 }, { 999924982,46368,671232238 }, { 727776849,822572946,276715547 }, { 566880502,902652630,186591601 }, { 407656820,841290252,582453221 }, { 365467528,705599596,693070236 }, { 546027777,903751015,623800565 }, { 307300980,108871225,452136886 }, { 592673115,787424730,365644695 }, { 980460233,127577343,900717152 }, { 885265840,283043407,385708940 }, { 3524578,997821698,410141410 }, { 529619056,589865503,872850958 }, { 681768169,170006352,28107846 }, { 806763391,624019965,483840929 }, { 391695550,502023354,578609710 }, { 413826897,717820129,499553298 }, { 838062468,37994620,923868375 }, { 385033448,209613911,713286550 }, { 343476498,931159308,758759346 }, { 844873162,911018251,819634879 }, { 834419866,102334155,510853745 }, { 380127701,453748616,105335718 }, { 390015786,107048889,847424535 }, { 674464076,829771610,254470054 }, { 224841755,699302941,298551243 }, { 4108204,358703167,890320855 }, { 303763304,105381649,525352914 }, { 310754962,360721530,857760585 }, { 876144487,107935489,681148200 }, { 405695833,899099104,548456798 }, { 778742000,192473059,44066357 }, { 604379130,83949699,603077492 }, { 987490029,798695907,237828250 }, { 493425268,376714645,131564763 }, { 40742042,630738657,323979426 }, { 393087522,423131148,438560380 }, { 885062356,9067912,530005158 }, { 9483443,836474305,364311742 }, { 477732907,995872758,535307981 }, { 87422827,831324169,624510285 }, { 564706400,851432142,743595923 }, { 214053392,600615566,886680257 }, { 197953180,354243748,39519988 }, { 134548496,464640208,108960298 }, { 860282292,655980397,724037382 }, { 520778395,754133024,12431477 }, { 98306258,468426494,196023050 }, { 243523224,324986415,178248829 }, { 670409052,86045214,743558048 }, { 485431333,28665233,745732999 }, { 680057396,790216554,72124658 }, { 335111523,687118902,300236456 }, { 708710588,551848063,982785105 }, { 182795469,785195740,343811684 }, { 525990521,538182908,626511910 }, { 130328088,132616976,997709618 }, { 494543560,974887031,92863609 }, { 544925113,889164309,30851551 }, { 13041873,960002226,497292916 }, { 97304683,821409901,208207434 }, { 472596219,8390086,435523618 }, { 35705139,104796271,735173949 }, { 492649422,708897480,967192012 }, { 274064524,631160278,683421425 }, { 418163403,49423109,987738762 }, { 353801518,12869153,932680483 }, { 658146590,711883378,753961026 }, { 144996647,884291363,911124200 }, { 716622931,793850486,781900333 }, { 941248608,365069693,768071074 }, { 107920472,815449418,128493982 }, }; void outa(int x, int y, int z) { cout << "{" << x << "," << y << "," << z << "}," << endl; } void preCalc() { const ll N = 10000000000ll; // {,}, // {,},... outa(0, 0, 0); int a = 0, b = 1, s = 1; for (ll i = 2; i <= N; ++i) { int c = add(a, b); a = b; b = c; s = add(s, mul(b, b)); if (i % 100000000 == 0) { outa(a, b, s); } } } ll f(ll cur, ll n, int s, int a, int b) { for (ll i = cur; i <= n; ++i) { int c = add(a, b); a = b; b = c; s = add(s, mul(b, b)); } return s; } void solve() { const int R = 100000000; // preCalc(); ll N, re = 0; cin >> N; if (N < R) { re = f(2, N, 1, 0, 1); } else { ll k = N / R; ll m = k * R; re = f(m + 1, N, MAGIC[k][2], MAGIC[k][0], MAGIC[k][1]); } cout << re << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); solve(); return 0; }